Which statement describes this mapping diagram?

A 10 is the output of two different inputs.
B This is not a function because one input has two different outputs.
C This is a function because every input has one output.
D The input 17 has two outputs, 0 and 2.

Which Statement Describes This Mapping Diagram?A 10 Is The Output Of Two Different Inputs.B This Is Not

Answers

Answer 1

Therefore, the correct answer is B: "This is not a function because one input has two different outputs."

What is mapping diagram?

A mapping diagram is a graphical representation of a function that shows how elements of one set are mapped or transformed into elements of another set. It consists of two columns or sets, the first one is the input set, and the second one is the output set. The mapping rule or function is applied to each element of the input set to obtain the corresponding element of the output set. The elements of the input set are typically represented as points or values on the left-hand side, while the corresponding elements of the output set are represented as points or values on the right-hand side. Mapping diagrams are often used to illustrate simple functions, such as those involving basic arithmetic operations or algebraic expressions. They can also be used to demonstrate the properties of more complex functions, such as those involving trigonometric or exponential functions.

Here,

A mapping diagram is a visual representation of a relation between two sets of numbers, where each input corresponds to an output. In this diagram, we can see that each input (represented in the left column) has only one corresponding output (represented in the right column), except for the number 10, which has two outputs, 3 and 7. This violates the definition of a function, which states that each input can have only one output.

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Related Questions

1.
(03.03 MC)

A scientist is studying the growth of a particular species of plant. He writes the following equation to show the height of the plant f(n), in cm, after n days:

f(n) = 15(1.02)n

Part A: When the scientist concluded his study, the height of the plant was approximately 16.24 cm. What is a reasonable domain to plot the growth function? (4 points)

Part B: What does the y-intercept of the graph of the function f(n) represent? (2 points)

Part C: What is the average rate of change of the function f(n) from n = 1 to n = 4, and what does it represent? (4 points)

Answers

The function represents the height of the plant in centimetres after n days, so n cannot be negative.

What are the practical limitations of the growth?

Part A:

To find a reasonable domain to plot the growth function, we need to consider the practical limitations of the growth of the plant. Also, since the function represents the growth of a particular species of plant, there may be an upper limit to how many days the plant can grow.

Assuming that the plant is not a perennial plant and has a limited lifespan, we can choose a reasonable domain for the function as [0, t], where t is the expected lifespan of the plant in days.

Since we do not have information about the expected lifespan of the plant, we can choose a reasonable value such as [tex]t = 365[/tex]  (assuming it is an annual plant). So the domain for the function can be  [tex][0, 365][/tex]  .

Part B:

The y-intercept of the graph of the function f(n) represents the height of the plant when it was planted or started growing, that is, at n = 0. To find the y-intercept, we can substitute n = 0 in the equation:

[tex]f(0) = 15(1.02)^0 = 15[/tex]

Therefore, the y-intercept of the graph of the function f(n) is [tex]15[/tex] cm.

Part C:

The average rate of change of the function f(n) from n = 1 to n = 4 can be calculated using the formula:

average rate of change [tex]= [f(4) - f(1)] / (4 - 1)[/tex]

Substituting the values in the equation, we get:

average rate of change [tex]= [15(1.02)^4 - 15(1.02)^1] / 3[/tex]

average rate of change [tex]≈ 1.42 cm/day[/tex]

Therefore, The average rate of change of the function f(n) from n = 1 to n = 4 represents the average daily growth rate of the plant during this period.

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At a certain farm, there are horses, goats, and sheep. The ratio of the number of horses to the number of goats is 4 to 3. The ratio of the number of horses to the number of sheep is 3 to 2. If there are 24 sheep at the farm, how many goats are at the farm? A 18 B 24 C 27 D 36 E 48

Answers

Answer: C 27

Step-by-step explanation:

there would be 24 sheep, which means there is 36 horses.

if ratio from horses to goats is 4-3

then there is only 27 goats.

help, i need it with steps

Answers

Using logarithmic identities and quadratic equation, the value of lg a * lg c is 4/3

What is the value of lg a * lg c

Using logarithmic identities, we can rewrite the given equations as:

logₐa + log_b c = 4

log_b b + logₐ c = 3

Simplify the first equation using the fact that logₐa = 1/log_aₐ = 1, and simplify the second equation using the fact that log_b b = 1:

1 + log_b c = 4

1 + logₐ c = 3

Solve for log_b c and logₐ c:

log_b c = 3

logₐ c = 2

Now we can use the fact that logₐ c = logₐ (a · c)/a = logₐ a + logₐ c/a to write:

logₐ a + logₐ c/a = 2

Substitute logₐ c = 2 into this equation to get:

logₐ a + 2/a = 2

Multiply both sides by a to get:

logₐ a · a + 2 = 2a

Rearrange this equation as a quadratic equation:

logₐ a · a - 2a + 2 = 0

This quadratic has a maximum value when the coefficient of logₐ a is zero, i.e., when:

a = 2^(2/3)

Substituting this value of a into the equation logₐ c = 2, we get:

log₂ c = log₂ a^2 = 2/3 · log₂ 2^2 = 4/3

Therefore, logₐ c = log₂ c/log₂ a = (4/3) / (2/3) = 2

Finally, we can find the maximum value of logₐ a · logₐ c by multiplying logₐ a and logₐ c:

logₐ a · logₐ c = log₂ a/log₂ a · log₂ c/log₂ a = log₂ c = 4/3

Therefore, the maximum value of logₐ a · logₐ c is 4/3.

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The term to term rule is:
divide by 5 then add 2
the 2nd term of the sequence is 36. Work out the 1st term

Answers

The first term of the sequence is 30 (36 divided by 5 and then subtract 2).

A term by term rule is used for a sequence in which the next term is obtained from the previous term. Example: Arithmetic sequence. In an arithmetic sequence, each term (other than the first term) is obtained by adding or subtracting a constant value from the preceding term.

To work out the term to term rule, give the starting number of the sequence and then describe the pattern of the numbers. The first number is 3. The term to term rule is 'add 4'. Once the first term and term to term rule are known, all the terms in the sequence can be found.

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PLEASE SHOW WORK!!!!!!!!!

Answers

In response to the given question, we can state that Rounding this to the  Pythagorean theorem nearest inch gives an answer of [tex]$\boxed{\textbf{(D) }45}$[/tex]

what is Pythagorean theorem?

The Pythagorean Theorem is the foundational Euclidean geometry relationship among a right triangle's three sides. The area of a cube with the velocity vector side is the sum of something like the areas of squares that have the other two sides, according to this rule. The rectangle that spans the slope of a triangular shape across the sharp angle equals the total of the rectangles that span its sides, as defined by the Pythagorean Theorem. In general algebraic notation, it is written as a2 + b2 = c2.

The height of each triangle can be found using the Pythagorean theorem:

[tex]$15^2 - \left(\frac{20}{2}\right)^2 = 225 - 100 = 125$, so the height of each triangle is $\sqrt{125} = 5\sqrt{5}$.[/tex]

The overall height of the kite is the sum of the heights of the two triangles, which [tex]is $2 \cdot 5\sqrt{5} = 10\sqrt{5}$.[/tex]

Rounding this to the nearest inch gives an answer of [tex]$\boxed{\textbf{(D) }45}$[/tex]

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On a spelling test, Lucy got 4 out of 5 correct. If Lucy got 20 questions correct then how many questions did she miss?

Answers

if lucky got 20 questions correct then lucky had missed 4 tests.

If Lucy got 4 out of 5 questions correct, then the proportion of questions she got correct is:

4/5 = 0.8

We can use this proportion to find the number of questions she got correct in the larger set of 20 questions:

0.8 x 20 = 16

So, Lucy got 16 questions correct out of 20. To find the number of questions she missed, we can subtract the number she got correct from the total number of questions:

20 - 16 = 4

Therefore, Lucy missed 4 questions on the test.

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The triangles are similar.

PR = ___ units

Answers

The length of PR is 6 units. To find the length of PR, we need to use the fact that the triangles are similar.

Since the triangles are similar, their corresponding sides are proportional. That is,

AB/DE = BC/EF = AC/DF

We know that AB = 8, BC = 6, AC = 10, DE = 6, EF = 4, and DF = 8. Therefore,

AB/DE = 8/6 = 4/3

BC/EF = 6/4 = 3/2

AC/DF = 10/8 = 5/4

Since we are looking for the length of PR, which corresponds to BC in the smaller triangle, we can use the ratio of BC/EF from above. We have:

BC/EF = 3/2 = PR/4

Solving for PR, we get:

PR = (3/2) * 4 = 6

Therefore, the length of PR is 6 units.

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The triangles are similar. PR = ___ units

Need help please and thank you!

Answers

The value of angle 1 , angle 2 and angle 3 are 60°, 30° and 60° respectively

What is a regular polygon?

A polygon is called regular if it has equal sides and angles. Thus, a regular triangle is an equilateral triangle, and a regular quadrilateral is a square.

An hexagon is a six sided polygon. This means that;

The sum of angle in an hexagon = (6-2)180 = 180× 4 = 720

Therefore each angle in the hexagon = 720/6 = 120°

The angles are equally bisected

therefore, angle 3 = 120/2 = 60°

angle 1 = 180-(60+60)

= 180-120 = 60°

angle 2 = 180-(90+60)

= 180-150

= 30°

therefore the value of angle 1 , angle 2 and angle 3 are 60°, 30° and 60° respectively

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2,900 dollars is placed in an account with an annual interest rate of 9%. how much will be in the account after 13 years to the nearest cent .

Answers

Answer:$8,890.83

Step-by-step explanation:

-5(x-2)+4x=x(3-x)-4(x-2)+xx+2​

Answers

Answer: x = (-1 + sqrt(85)) / 6, or x = (-1 - sqrt(85)) / 6

Step-by-step explanation:

Let's simplify and solve the equation step by step:

Distribute the -5 and -4 on the left side and combine like terms:

-5x + 10 + 4x = 3x^2 - x - 4x + 8 + x + 2

Simplifying the left side and combining like terms on the right side, we get:

-x + 10 = 3x^2 + 3

Subtract 10 from both sides to isolate the variable on one side:

-x = 3x^2 - 7

Add x to both sides to get the quadratic equation in standard form:

3x^2 + x - 7 = 0

Use the quadratic formula to solve for x:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = 3, b = 1, and c = -7. Substituting these values, we get:

x = (-1 ± sqrt(1^2 - 4(3)(-7))) / 2(3)

Simplifying under the square root, we get:

x = (-1 ± sqrt(85)) / 6

Therefore, the solutions to the equation are:

x = (-1 + sqrt(85)) / 6, or x = (-1 - sqrt(85)) / 6

These are approximate values since sqrt(85) is irrational.

help please!! its geometry. thanks

Answers

Answer:

Step-by-step explanation:

The two 'slashes' on the 2 edges indicate that it's an isosceles triangle ( the base angles are equal)

Total angles in a triangle = 180.

Thus,

3x + 4x+2+4x+2= 180.

11x+4=180

11x=176

Therefore, x= 16°

Thus,

3x = 3(16) = 48°

The (4x+2)'s =

4(16)+2

=66° each.

Hope this helps! :)

The polynomial of degree 4, P ( x ) , has a root of multiplicity 2 at x = 1 and roots of multiplicity 1 at x = 0 and x = − 3 . It goes through the point ( 5, and 128 ).
Find a formula for P ( x ).
P ( x ) =

Answers

The polynomials P(x) can be formulized as P(x) =  (1/5)(x-1)²(x)(x+3).

The given problem states that a degree 4 polynomial, P(x), has the following properties:

Multiplicity of 2 at x = 1Multiplicity of 1 at x = 0Multiplicity of 1 at x = -3The polynomial goes through the point (5,128)

The degree of the polynomial is 4, so the polynomial can be written as;

P(x) = a(x-1)²(x-0)(x+3)

To find the value of 'a', substitute the given point (5,128) into the equation, P(x);

P(5) = a(5-1)²(5-0)(5+3) = 128

P(5) = a(4)²(5)(8) = 128

Simplifying, we get;

128 = 640a,

a = 1/5

Thus, the formula for P(x) is; P(x) = (1/5)(x-1)²(x)(x+3)

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5/12d+1/6d+1/3d+1/12d=6 solve for d

Answers

Answer:

take lcm ...i.e.= 12d then solve it ... value of d=1/6....

A tire has a radius of 20 inches. What is the Circumference of the tire?

C=πd

Answers

Answer:

125.6637061

Step-by-step explanation:

Answer:

40π inches, or approximately 125.66 inches

Step-by-step explanation:

The formula to find the circumference of a circle is C = 2πr, where r is the radius of the circle and π is a mathematical constant approximately equal to 3.14.

In this case, the radius of the tire is 20 inches. So, the circumference of the tire is:

C = 2πr

C = 2π(20)

C = 40π

Therefore, the circumference of the tire is 40π inches, or approximately 125.66 inches if you round to two decimal places.

Find the value of h of the parallelogram

Answers

The value of h of the parallelogram is = 4.2

What is a parallelogram?

A parallelogram is a special kind of quadrilateral made up of parallel lines. A parallelogram can have any angle between its adjacent sides, but for it to be a parallelogram, its opposite sides must also be parallel.

If the opposing sides of a quadrilateral are parallel and congruent, the shape will be a parallelogram. Hence, if both sets of opposite sides are parallel and equal, a quadrilateral is said to be a parallelogram.

A parallelogram's area is determined as follows:

Area = base × height

In the given parallelogram, we can note that the base is 8.4 inches, and the corresponding height is 5 inches.

This means that:

Area of parallelogram = 8.4 × 5 = 42 in²

This same area can be calculated using the other base (6 in) and its corresponding height (h)

This means that:

Area of parallelogram = 10 × h

42 = 10 × h

h = 42/10

h = 4.2 inches.

Hence, value of h in the parallelogram is equals to 4.2.

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Divide. Express your answer in simplest form.

2 1/2 ÷ 2 1/6

Answers

Answer:

15/13 OR 1.154

Step-by-step explanation:

2 1/2=5/2

2 1/6=13/6

5/2 / 13/6

=5/2 x 6/13

=30/26

=15/13

=1.15384615385

≈ 1.154

Identify the error in the student solution shown below. Find the correct answer. 2ln(x) = ln(3x) - [ln(9) - 2ln(3)] ln(x^2) = ln(3x) -0 in(x^2) = in(3x/0); division by 0, undifined

Answers

The correct answer is x = 9.

How do you compute a logarithm?

Making use of the logarithm table, Compute the characteristic that the provided integer's whole number component dictates. Using the significant digits of the given number, find the mantissa. Add a decimal point after combining the characteristic and mantissa.

The student's solution has a division by zero error. The wrong step is when ln(x2) = ln(3x) - 0. It would have been better to first simplify the addition of ln(9) - 2ln(3) as follows:

The formula is ln(9) - 2ln(3) = ln(9) - ln(32) = ln(9/32) = ln(1/3).

When we substitute this number into the first equation, we get:

ln(1/3) - ln(3x) = 2ln(x)

ln(3x/1/3) = 2ln(x)

2ln(x) = ln (9x)

If we multiply both sides by their exponential, we get:

E = 2ln(x) + eln (9x)

x^2 = 9x

x^2 - 9x = 0

x(x - 9) = 0

As a result, the solutions are x = 0 and x = 9, but since ln(0) is undefined, we must determine whether x = 0 is a valid solution. So x = 9 is a workable answer.

Hence, the right response is x = 9.

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A school is building a rectangular stage for its chorus. The stage must have a width of feet. The area of the stage must be at least square feet. (The stage must hold all the singers. ) Write an inequality that describes the possible lengths (in feet) of the stage. Use for the length of the rectangular stage

Answers

The possible lengths of the stage (in feet) can be described by the inequality:

L ≥ A/10

where A is the minimum required area of the stage and L is the length of the stage.

Let's denote the length of the rectangular stage as 'L' in feet.

The area of a rectangle is given by the formula A = L × W, where A is the area, L is the length, and W is the width.

We are given that the width of the stage is 'W' feet and the area of the stage must be at least 'A' square feet. So we can write the inequality:

A ≤ L × W

Substituting the given values, we get:

A ≤ L × 10

Dividing both sides by 10, we get:

A/10 ≤ L

Therefore, the possible lengths of the stage (in feet) can be described by the inequality:

L ≥ A/10

where A is the minimum required area of the stage and L is the length of the stage.

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9. Assume a density function of a random variable X is f(x)={ 2 π ​ , 0, ​ 0

Answers

Mean value of the function = E(X) = ∞/πOption (b) ∞/π is the correct option.

Given a density function of a random variable X as f(x)={ 2 π ​ , 0, ​ 0. The question is to find the mean value of the function.As we know,The mean value of the function = E(X) = ∫xf(x)dx, where x is the random variable and f(x) is the density function,∫ denotes integral from negative infinity to infinityOn substituting the given values,∫xf(x)dx= ∫x (2/π)dx= (2/π) ∫xdx= (2/π)(x^2/2)+C ……(1)Where C is the constant of integration.But given the density function is zero for all negative x values and f(0) = 2/π, so the integral should be calculated from 0 to infinity instead of negative infinity to infinity.On substituting the values,∫0∞ x (2/π)dx= (2/π) ∫0∞xdx= (2/π) (x^2/2) [0,∞]= ∞/πTherefore, mean value of the function = E(X) = ∞/πOption (b) ∞/π is the correct option.

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Tyee has a points card for a movie theater.
• He receives 45 rewards points just for signing up.
• He earns 11.5 points for each visit to the movie theater.
• He needs at least 160 points for a free movie ticket.
Use the drop-down menu below to write an inequality representing v, the number of
visits he needs to make in order to get a free movie ticket.

Answers

Given:

45 rewards points for signing up

11.5 points for each visit

Total Number of Points are:

45 + 11.5 · number of visits he makes

How many visits must Tyler make to earn a free movie ticket?

45 + 11.5 · x  ≥ 160 points for a free movie ticket

Where, x is how many visits must Tyler make to earn a free movie ticket

      11.5 · x  ≥ 160 - 45

               x  ≥ 115 / 11.5

                x ≥ 10

Since the number of visits to reach 180 points is 10 then Tyler has to visit the movie theater 10 times or more.

Check our answer:

45 + 11.5 · 10 = 160 will earn him a free movie ticket

Pamela is 7 years older than Jiri. The sum of their ages is 71. what is jiris age?

Answers

Answer:

jiris age is 32

Step-by-step explanation:

39(palma's age)+32(jiris age)=71

HELPPPPP MEEEEEEE
find sin2x,cos2x,tan2x if tanx=-3/2

Answers

Answer:

sin(2x) = 2sin(x)cos(x)

= 2(-3/5)(-2/5)

= 12/25

cos^2(x) = (2/√13)^2 = 4/13

sin^2(x) = (-3/√13)^2 = 9/13

cos(2x) = cos^2(x) - sin^2(x) = (4/13) - (9/13) = -5/13

= cos(2x) = -5/13

tan(2x) = 3/4

Explanation:

Given tan(x) = -3/2 and x terminates in quadrant II.

We know that tan(x) = sin(x) / cos(x)

Using this, we can find sin(x) and cos(x):

tan(x) = sin(x) / cos(x) = -3/2

cos(x) = -2/√13

sin(x) = 3/√13

Using double angle formulas, we can find sin(2x), cos(2x), and tan(2x):

sin(2x) = 2sin(x)cos(x) = 2(3/√13)(-2/√13) = -12/13

cos(2x) = cos²(x) - sin²(x) = (-2/√13)² - (3/√13)² = 4/13 - 9/13 = -5/13

tan(2x) = (2tan(x)) / (1 - tan²(x)) = (2(-3/2)) / (1 - (-3/2)²) = 3/4

We know that tan(x) = -3/2 and x is in quadrant II. Therefore, we can use the Pythagorean theorem to find the opposite side (y) and the hypotenuse (r) of a right triangle with an angle of x in quadrant II.

Let r = 2, so y = -3 and x = arctan(-3/2) ≈ -56.31°.

Using the double angle formulas:

sin(2x) = 2sin(x)cos(x) = 2(-3/2)(√5/2) = -3√5/2

cos(2x) = cos²(x) - sin²(x) = (√5/2)² - (-3/2)² = (5-9)/4 = -1/2

tan(2x) = 2tan(x)/(1-tan²(x)) = 2(-3/2)/(1-(-3/2)²) = 3/4

So, the answers are: sin(2x) = -3√5/2, cos(2x) = -1/2, and tan(2x) = 3/4.

Hope this helps you! Sorry if it's wrong. If you need more help, ask me! :]

A softball coach has ordered softballs for two different leagues. The Junior League uses an 11-inch softball priced at $2.50 each. The Senior League uses a 12-inch softball priced at $3.50 each. The softball coach ordered a total of 120 softballs for $350.

How many of each size softball did the softball coach order?

11-inch softballs:

12-inch softballs:

Answers

The number of 11-inch softballs ordered is 70 and the number of 12-inch softballs ordered  is 50

How many of each size of softball was ordered?

a + b = 120 equation 1

2.50a + 3.50b = 350 equation 2

Where:

a = number of 11-inch softballs ordered b = number of 12-inch softballs ordered

The elimination method would be used to determine the number of each size of softball ordered.

Multiply equation 1 by 2.5

2.5a + 2.5b = 300 equation 3

Subtract equation 3 from equation 2

b = 50

Substitute for b in equation 1

a + 50 = 120

a = 120 - 50

a = 70

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What is the measure of T ?

ABCDRSTU



60°
100°
110°
125°

Answers

The measure of T in the quadrilateral can be found to be B. 100 degrees.

How to find the angle ?

The two quadrilaterals given are trapeziums and they are similar. This means that they have the same angles meausures.

As this is a quadrilateral, the total measure of the interior degrees would be the value of 360 degrees.

The value of T is the only missing angles and so can be found to be:

T = 360 - 125 - 60 - 75

T = 360 - 260

T = 100 degrees

In conclusion, the measure of T is 100 degrees.

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dA/dr = d(∩r 2 )/dr = 2∩r,

when r=8 dA/dr=?

dA/dt = 0.4 x dA/dt=?

Answers

When the circle's radius is 8 cm and it is shrinking at a rate of 0.4 cm per second, the rate that the area is shrinking is -6.4 cm²/s.

How big is the r² area?

Circle area formula: r² = r. The radius squared is multiplied to find the circumference of the circle. When a circle's radius is specified, its area is equal to r². When the diameter "d" is known, the circle's surface area is equal to d²/4.

What is the name for pi's half?

90 degrees is equal to a quarter turn. A complete turn is 360 degrees, while a half turn is 180. Moreover, the rotation can be expressed in radians or fraction of pi. Under this system, a complete circle turn is equal to 2 radians, a half circle turn is equal to 1, and so on.

Step 1: Variables involved in the question:

The variables involved in the question are:

The radius of the circle r = 8 cm (constant value)

The rate at which the radius is decreasing (dr/dt) = -0.4 cm/s (negative because it's decreasing)

The rate at which the area of the circle is changing dA/dt = ?

Step 2: Chain rule:

We can use the chain rule to link the three rates:

dA/dt = dA/dr x dr/dt

Step 3:

From the given information, we know that (dr/dt) = -0.4 cm/s.

Step 4: Equation for dA/dr

The formula for the area of a circle is  A = πr², where r is the radius of the circle. We can differentiate both sides of the equation with respect to r to get the following formula for dA/dr:

dA/dr = 2πr

Step 5:

Substituting the given value of r = 8 cm in the equation for dA/dr, we get:

dA/dr = 2π(8) = 16π cm

Step 6: dA/dt:

Now we can use the chain rule to find dA/dt by substituting the values we have found for dA/dr and dr/dt:

dA/dt = dA/dr x dr/dt

dA/dt = 16π cm x -0.4 cm/s

dA/dt = -6.4π cm²/s

Therefore, the rate at which the area of the circle is decreasing when its radius is 8cm and decreasing at -0.4 cm/s is  -6.4π cm²/s.

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At a class reunion, there were 56 people who were all 48 years old. What was the total number of years the people had lived?

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If there were 56 people who were all 48 years old, then the total number of years that the people had lived would be: 56 people x 48 years/person = 2,688 years

This calculation multiplies the number of individuals (56 people) by their age (48 years per person) to determine the total number of years of life experience represented by the group. In essence, it is calculating the cumulative age of everyone in the group. The result, 2,688 years, reflects the sum total of all the years that the 56 people have lived in total. Therefore, the total number of years that the people had lived is 2,688.

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HELP ASAP i give you brainleast
graphing quadratic functions

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Some of the features of the quadratic function y = 2(x - 2)² + 3 are

Vertex = (2, 3)a = 2. Others are added below

Completing the features of the quadratic functions

The vertex form of a quadratic equation is

y = a(x - h)² + k

Where

Vertex = (h, k)Leading coefficient = aAxis of symmetry: x = hRange: y ≥ k if a > 0, otherwise y ≤ kIncreasing on: (h, ∝) if a > 0, otherwise (-∝, h)Decreasing on: (-∝, h) if a > 0, otherwise (h, ∝)

Using the above features, we have the following key features

Quadratic function 1

y = 2(x - 2)² + 3

Vertex = (2, 3)a = 2Axis of symmetry: x = 2Domain = (-∝, ∝)Range: y ≥ 2 Increasing on: (2, ∝)Decreasing on: (-∝, 2)

Quadratic function 2

y = 3(x + 2)² - 2

Vertex = (-2, -2)a = 3Axis of symmetry: x = -2Domain = (-∝, ∝)Range: y ≥ -2 Increasing on: (-2, ∝)Decreasing on: (-∝, -2)

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what 1+1+= to what then 2+2

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On solving the question we have that If you meant "1+1=2, then what is equation 2+2?" the answer is four.

What is equation?

A math equation is a mechanism for connecting two statements and indicating equivalence with the equals sign (=). To explain the connection between the two sentences put on each side of a letter, a statistical method can be employed. The software and the logo are usually interchangeable. 2x - 4 equals 2, for example. An equation is a logical expression that asserts the equality of some mathematical expressions in algebra. In the equation 3x + 5 = 14, for example, the equal sign separates the numbers 3x + 5 and 14.

"1+1+" is an incomplete expression since it requires another operand or operator to form a valid mathematical statement.

Assuming you meant "1+1=," the answer is two.

If you meant "1+1=2, then what is 2+2?" the answer is four.

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On solving the question we get 2 + 2 = 4 because it is given 1 + 1 = 2 it means it is basic addition.

What is  Addition?

In addition we perform mathematical operation in which we add two or more no with other numbers to get the desire or final output. Output can be positive or negative it only based on your input values.

Mathematical operation is defined as sentence in which two or more number perform an operation which finally gave us result.

Mathematical operations are addition, Subtraction , Multiplication , Division, Percentage etc.

"1+1+" is an incomplete expression since it requires another operand or operator to form a valid mathematical statement.

It is given that  "1+1=,"  so the answer was two.

it meant  that if "1+1=2, then what is 2+2 =4 .

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i need to find the missing side lengths does anyone know the answer!?

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Answer:

u = 4 , v = 2[tex]\sqrt{3}[/tex]

Step-by-step explanation:

using the tangent and sine ratios in the right triangle and the exact values

tan30° = [tex]\frac{1}{\sqrt{3} }[/tex] , sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{2}{u}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

u = 2 × 2 = 4

and

tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{2}{v}[/tex] = [tex]\frac{1}{\sqrt{3} }[/tex] ( cross- multiply )

v = 2[tex]\sqrt{3}[/tex]

Wei-Ling discovered through a genealogy research that one of her fifteenth-generation ancestors was a foumous Chinese military leader. How many descendants does this ancestor have in the fifteenth-generation, assuming each descendent had an average of 2. 5 children?

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Wei-Ling's fifteenth-generation ancestor is estimated to have around 1,220,703 descendants.

Assuming that each descendant has an average of 2.5 children, we can use the formula:

number of descendants = (2.5)^n

where n is the number of generations.

In this case, n = 15 (fifteenth-generation), so we can plug in the values and get:

number of descendants = [tex](2.5)^{15}[/tex]= 1,220,703.125

Therefore, Wei-Ling's fifteenth-generation ancestor is estimated to have around 1,220,703 descendants. However, it is important to note that this is just an estimation and may not be entirely accurate due to various factors such as reproductive rates and other variables.

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