Equations in the Form y = ax^2
Guided Practice
Consider these equations.

y=2x^2
y=12x^2
y=−3x^2

How does each differ from the simple quadratic equation y = x^2?

In each of these new equations, x^2 has a coefficient. They are all examples of the equation y = ax^2.

Let’s look at how the coefficient 2 affects the graph of the function y = 2x^2.

Type your answer and then click or tap Done.

First, find the values of 2x^2 by completing this chart. The first is done for you.


x x^2 2x^2

−2 4 8

−1 1 Fill in the blank text field 1

Answers

Answer 1

Answer:

2

Step-by-step explanation:

It's 2 because 4^2 is 8 and 1^2 is 2 so that's how I got my answer


Related Questions

the reciprocal of 4 is​

Answers

the answer of ur question is 0.25

1/4

Explanation:

4 as a fraction would be 4/1. Any whole number that you want to represent as a fraction goes over 1. When finding the reciprocal, we flip the numerator (number on top of the fraction bar) and the denominator (number on the bottom of the fraction bar.) Therfore, it would be 1/4. Hope this helps :)

POSSIBLE POINTS: 11.76
Which two equations have infinitely many solutions?



A }(6x – 12) = 2(x - 2)
B { (4x + 8) = 2x + 8
C 3(2x - 7) = 6(x – 4) - 3
D 4(x + 6) = x + 3(x + 5) +9
E 5(x + 1) = 3x + 2(x + 1) + 4

Answers

Answer:

B and D.

Brainliest please. :)

Solve the system by substitution. x=-y-9 6x-5y=1

Answers

Answer:

x= -64, y= 55

Step-by-step explanation:

x=-y-9

6(y-9)-5y=1

6y-54-5y=1

y=55

x=-55-9

x=-64

Answer:

{x=-4

{x= -5

Step-by-step explanation:

Substitute into one of the equations:6(- y -9) - 5y=1

Apply Multiplicative Distribution Law:- 6y-54-5y=1

Rearrange unknown terms to the left side of the equation:-6y -5y = 1+54

Combine like terms:- 11y= 1+54

Calculate the sum or difference:-11y=55

Divide both sides of the equation by the coefficient of variable:y= 55÷(-11)

Remove the parentheses:y = -55÷11

Calculate the product or quotient:y=-5

Substitute into one of the equations:x=-(-5)-9

Remove the parentheses:x=5-9

Calculate the sum or difference:x=-4

The solution of the system is:{x=-4

{x=-5.

A baker baked some loaves of bread. 240 loaves were sold by the end of the day. The baker was left with 9/25 of the number of loaves that were baked. How many loaves of bread did the baker bake on that day?

Please do this in a easy way and explain no algebra

Answers

Answer:

The baker baked 375 loaves of bread that day.

Step-by-step explanation:

The baker baked a total of x loaves of bread.

240 loaves were sold by the end of the day.

The baker was then left with 9/25 of the number of loaves that were baked.

We get the equation:

x-240 = 9x/25

When you solve the equation, you will see that x=375.

Therefore, the baker baked 375 loaves of bread that day.

Please answer this question​

Answers

Answer:

Step-by-step explanation:

2)f(x) = 2x² +4x - 3    

a = 2 ; b = 4 ; c = -3

1) Put x = -1 in the equation

f(x) = 2*(-1)² + 4*(-1) -3 = 2 - 4 -3 = -5

Vertex = (-1,-5)

2) Upward

3) Minimum

4) axis of symmetry = -b/2a = -4/2*2=-4/4= -1

x = -1

5) domain: all real numbers  (-∞ ,∞)

Range : y ≥ -5 ; [-5 , ∞)

3) f(x) = 3x² - 6x + 4

Vertex : (1,1)

Opening : upward

Minimum

Axis of symmetry: x = 1

Domain: all real numbers

Range: y ≥ 1 ; [1, ∞)

4)f(x) = -x² - 2x - 3

a) Vertex:  f(x) = -(-1)² - 2*(-1) - 3 = -1 + 2 - 3 = -2

Vertex( -1,-2)

b) downward

c) Maximum

d) Axis of symmetry: x = 2/-2 = -1  

x = -1

e) Domain: all real numbers

Range: y ≤ -2 ; (-∞ , -2]

5)f(x) = 2(x -2)²

a) Vertex: (2, 0)

b) Opening: upward

c) Minimum

d) x = 2

e)Domain: all real numbers

Range: y ≥ 0 ; [0,∞)

Which transformation maps the strip pattern onto itself?

pdpdpdpdpd

A. half-turn
B. vertical reflection
C. glide reflection
D. vertical translation

Answers

The mapping of the strip pattern onto itself is a Glide reflection.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Glide reflection is a combination of reflection over a line and then translation along that line.

As we can see, the mapping of the strip pattern onto itself is a Glide reflection.

Find out more at: https://brainly.com/question/25442628

Answer:

A: Half-turn

Step-by-step explanation:

i took the test and got it wrong due to the wrong answer above.



Painted Pots lets customers choose and paint their own pottery. The store has teapots in
multiple sizes. Rebecca chose to paint the largest teapot offered, which cost $18. She also
painted 4 small teacups to go with her teapot. Rebecca spent a total of $42 on pottery.
3
Which equation can you use to find c, the cost of each teacup?
Time
elapse
00
09
18(C + 4) = 42
40 + 18 = 42
SmartSco
Out of 100
18C + 4 = 42
4(0 + 18) = 42
What was the cost of each teacup?

Answers

Using a linear equation, we find c using:

[tex]42 = 18 + 4c[/tex]

A linear function has the following format:

[tex]A(n) = A(0) + cn[/tex]

In which:

c is the slope, which is the price per unit.A(0) is the y-intercept, which is the fixed price.

In this problem, fixed price of $18, hence [tex]A(0) = 18[/tex]

She bough 4 units, and it cost $42, hence: [tex]n = 4, A(n) = 42[/tex]

Then

[tex]A(n) = A(0) + cn[/tex]

[tex]42 = 18 + 4c[/tex]

Hence, the equation to find c is:

[tex]42 = 18 + 4c[/tex]

A similar problem is given at https://brainly.com/question/16302622

The function P(h) = 21h represents the total salary at a rate of $21 per
hour, P. as a function of the number of hours worked, h.
Find the total salary, when the number of hours worked is 34.

Answers

Replace h with 34:

p(h) = 21(34)

Multiply :

21x 34 = 714

Answer: $714

[tex]\frac{7}{10} - \frac{2}{5}[/tex]

Answers

Answer:

[tex]\frac{3}{10}[/tex]

Step-by-step explanation:

First, we need to make the denominators the same.

[tex]\frac{7}{10} -\frac{2}{5} =\frac{7}{10} -\frac{2*2}{5*2}=\frac{7}{10} -\frac{4}{10}[/tex]

Then, we subtract the numerator.

[tex]\frac{7}{10} -\frac{4}{10} =\frac{3}{10}[/tex]

Find the LCD (lowest common denominator) of 10 and 5.
LCD of 10 and 5 is 10.
5 x 2 = 10 so, 2 x 2 = 4 because whatever you do to the denominator, you do to the numerator.
7/10 - 4/10 = 3/10

74.88 is what percent of 72?

Answers

Answer:

104%

Step-by-step explanation:

55% because you multiply 73.88 by .72

im very confused on the question attached below....can someone pls explain it with an answer?

Answers

Answer:

There doesnt seem to be a mode

Step-by-step explanation:

The mode is the number that ocurs most in the sequence

EDIT : NEVER MIND IT MIGHT BE LENGTH 8 AS THE FREQURNCY IS THE HIGHEST

Ooo you’re doing DFM

Answer:
Yes the mode is 8 cm

What is the equation of the line that passes through the point (8,-8) and has a slope of -2​

Answers

Answer:

y=-2x+8

Step-by-step explanation:

Hi there!

We want to find the equation of the line that passes through the point (8, -8) and has a slope of -2

We can write this equation in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

Since we already know the slope of the line, we can immediately plug it into the equation as m:

y=-2x+b

Now we need to find b

As the equation of the line passes through the point (8, -8), we can use it to help solve for b, since (8, -8) is a solution to the equation, meaning that it will yield a true statement when plugged into the equation

So substitute 8 as x and -8 as y:

-8=-2(8)+b

Multiply

-8=-16+b

Add 16 to both sides

8=b

Now substitute 8 as b into the equation:

y=-2x+8

Hope this helps!

Point=(8,-8)m=-2

.Equation of line in point slope form

[tex]\\ \sf\longmapsto y-y_1=m(x-x_1)[/tex]

[tex]\\ \sf\longmapsto y+8=-2(x-8)[/tex]

[tex]\\ \sf\longmapsto y+8=-2x+16[/tex]

[tex]\\ \sf\longmapsto 2x+y+8-16=0[/tex]

[tex]\\ \sf\longmapsto 2x+y-8=0[/tex]

The monthly rent of Marilyn's house went from $500 to $440, If p is the

percent decrease in the rent, which proportion can be used to calculate p?

A)

р

100

OB)

$440-$500

$440

р

100

$440-$500

$500

$500-$440

$440

$500-$440

P

100

OD)

р

100

$500

Answers

Answer:

p=v-u/t440-500=-60 this is decreasing in the rent so it decreased

HELP - John uses 1/3 cup of orange juice for every 1/6 cup pineapple juice for fruit punch. Write the number of cups of orange juice John uses for 1 cup of pineapple juice.

Answers

to make cups of pineapple equal to 1, multiply by 6, also do it to orange juice. 1/6 x 6=1 cup pineapple, 1/3 x 6=2 cups orange

Which of the following is another way to express the difference between -5 and 8?
O-5+8
O-5-(-8)
O-5+(-8)
08-5

Answers

Answer: -5+8 because the difference (-) of -5 and 8 is 8 - (- 5) which can also be expressed as -5+8. All that matters is that 5 stays negative and 8 stays positive.

Solve the quadratic equation shown below using the completing the square method. x2+6x=−17 Use the drop-down menus to choose the words or numbers to correctly complete each statement below. To solve the equation by completing the square, a first step is to add 17 to both sides of the equation. The resulting equation will be a perfect square trinomial on the left side, which can be factored into the quantity x + 3 squared, and the right side will have a value of . A next step is to take the square root of both sides to isolate the variable . will be a complex number since

Answers

Answer:

7

Step-by-step explanation:

because you just take the quadratic number and divide it by x2 and you get 7!!!

Answer:

x = - 3 ± 2i[tex]\sqrt{2}[/tex]

Step-by-step explanation:

x² + 6x = - 17

To complete the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(3)x + 9 = - 17 + 9

(x + 3)² = - 8 ( take square root of both sides )

x + 3 = ± [tex]\sqrt{-8}[/tex] = ± 2i[tex]\sqrt{2}[/tex] ( subtract 3 from both sides )

x = - 3 ± 2i[tex]\sqrt{2}[/tex]

What is the slope of the line passing through (1, 2) and (3.8)?

Answers

Answer:

The slope = 3

Step-by-step explanation:

The points are:

( 1, 2 ) = x₁ , y₁

( 3, 8 ) = x₂ , y₂

The slope is calculates as follows:

slope = [tex]\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]

= [tex]=\frac{8 - 2}{3-1} \\=\frac{6}{2} \\=3[/tex]

Answer: The slope of the line is 3

Step-by-step explanation: first you take the points (1,2) and (3,8) then you put then in to the slope formula y2-y1 over x2-x1 which would be 8-2 over 3-1 which 8-2 is 6 and 3-1 is 2 therefore it would be 6/2 which simplified is 3 so the slope is three I hope this helps  

I really need help with these geometry questions.

Answers

Hey there!

I'm going to go in order from images.

1. The angle measure 60 is linear to angle 6, this would make them supplementary.

Angle 6: 180 - 60 = 120

Angle 6 is vertical to angle 2, this makes them congruent. If angle 6 equals 120 measure 2 also equals 120.

2. Measure 6 is vertical from measure 2. We established in the last problem measure 2 equals 120.

If angle 2 equals 120 measure 6 also equals 120.

3. The 2 equations are alternate exterior angles.

2x+5=8x-7

    +7     +7

2x+12=8x

-2x     -2x

12=6x

12/6= 2

x=2

4. I cannot explain this one without showing it visually lol.

Measure 5 equals 30 degrees.

5. Measure 1 is verticle to the measure that reads 60. Vertical angles are congruent.

If measure 1 is congruent to the measure that reads 60. Measure 1 equals 60.

I hope this helps!!!

30 POINTS:
Function f satisfies f(0) = 2 and f ′(0) = −2. Use this information to compute f^−1′(2).

Answers

Answer:

-1/2

Step-by-step explanation:

The relevant relationship is ...

  f^-1'(x) = 1/f'(f^-1(x))

  f^-1'(2) = 1/f'(f^-1(2)) = 1/f'(0) = 1/-2

  f^-1'(2) = -1/2

_____

The attached graph shows the tangent lines at the relevant points. The red line is the tangent to f(0); the blue line is the tangent to f^-1(2).

The inverse function is the function reflected across the line y=x. So, too, for the tangent lines to the function. Each is a reflection of the other across the line y=x. For the purpose here, the tangent line is a suitable representation of the function at the point(s) of interest.

i asked this already but please solve this NO LINKS

Answers

Answer:

-4x^3+12x^2-1

Step-by-step explanation:

We have (-4x^3+2x^2-9) + 2(5x^2+4)
= -4x^3 + 2x^2 - 9 + 10x^2 + 8
= -4x^3 + 12x^2 - 1

Ok done. Thank to me:>

What is slope ? Help me please

Answers

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

First, let's pick two points on the line.

    I am going to pick (10, 10) and (40, 20) as they are easier to read.

Slope is rise over run, or in other words, change in y over change in x.

    Let's do the math:

[tex]\frac{change.in.y}{change.in.x} =\frac{20-10}{40-10} =\frac{10}{30} =\frac{1}{3}[/tex]

    So, the slope is [tex]\frac{1}{3}[/tex] which we can also check by looking at the graph, find a point then move up and over three!

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Slope is the m in y=Mx+b

solve pls brainliest

Answers

Answer:

1) No it repeating

2)No it doesn't terminate nor repeat

3) yes this terminates

4) no its repeating

Step-by-step explanation:

Simplify the expression.
(6/7c)^2

A.) 12/14c^2
B.) 42c^2
C.) 36/7c D.) 36/49c^2

Answers

we have (6/7c)^2 = (6^2)/(7c)^2 = 36/49c^2

so the answer is D

ok done. Thank to me :>

Please help due today

Answers

Answer:

Step-by-step explanation:

Each boundary line equation is of the form ...

  y = mx + b

the value of m is the coefficient of x. The value of b is the constant. You find their values by matching the given relation to the form above, and identifying the matching parts.

  y ≤ 1/2x +2   ⇒   m = 1/2, b = 2

  y < -2x -3   ⇒   m = -2, b = -3

_____

The slope (m) in each case tells you how many units up (m>0) or down (m<0) the line will go for each unit to the right. The y-intercept (b) in each case gives you a starting point on the y-axis, making it easier to draw the line.

The < part of each inequality symbol tells you the graph will be shaded below the boundary line. (Y-values in the solution set are less than those on the line.) The "or equal to" part of the first inequality symbol tells you the boundary line will be solid. (Y-values on that line are part of the solution set.) The lack of that in the second inequality tells you the boundary line will be dashed.

The graph is shown in the attachment.

to solve the equation, x+5=12, what property do you use?

Answers

Answer: inverse operation, subtraction

Step-by-step explanation: The key insight here is that we want to solve for x , and in doing so, we need to undo any operation being applied to it. Right now, only 5 is being added to it, so to solve for it, we need to do the inverse operation, subtraction

If you mean this: How to solve multiplication property of equality?

Multiplication Property of Equality

For all real numbers a, b, and c: If a = b, then a • c = b • c (or ab = ac).

I hope this is right :)

Express the given in terms of the logarithms of prime numbers:
[tex]log_{4} 405[/tex]
[tex]log_{7}(\frac{8}{81} )[/tex]

Answers

The required expression in terms of logarithm of prim numbers are;

[tex]log_4405=log_4(3^4\times 5)=log_43^3+log_45[/tex]

[tex]log_7(\frac{8}{81} )=log_7(\frac{2^3}{3^4} )=log_72^3-log_73^4[/tex]

Prime numbers are numbers that can only be divisible by 1 and itself.

From the given logarithmic expression, we will need to write 405, 8, and 81 as the product of prime numbers

405 = 3 * 3 * 3 * 3 * 5

405 = 3^4 * 5

8= 2* 2 * 2

8 = 2^3

81 = 3 * 3 * 3 * 3

81 = 3^4

The logarithm expression [tex]log_4405 \ and \ log_7(\frac{8}{81} )[/tex] can be expressed in terms of prime numbers as;

[tex]log_4405=log_4(3^4\times 5)=log_43^3+log_45[/tex]

Similarly;

[tex]log_7(\frac{8}{81} )=log_7(\frac{2^3}{3^4} )=log_72^3-log_73^4[/tex]

Learn more here: https://brainly.com/question/23004769

let r(t) be the rate in gallons per hour at which water enters a tank. what are the units of r'(t)?

Answers

The units of [tex]r'(t)[/tex] are gallons per square hour.

Dimensionally speaking, [tex]r(t)[/tex], expressed in gallons per hour, is length raised to third power divided by time. Capacity units are volume units.

As rate of change represents the instantaneous change of [tex]r(t)[/tex] in time, then we find that units are length raised to third power divided by time raised to second power.

Hence, the units of [tex]r'(t)[/tex] are gallons per square hour.

To learn more on dimensional analysis, we kindly invite to check this verified question: https://brainly.com/question/10874167

what is the calculation for 70 increased by 9%

Answers

Answer: 6.3 Increase the number by 9% of its value.

(Subtract): √125-√45​

Answers

Answer:

2√5

Step-by-step explanation:

√125-√45​

5√5 - 3√5........simplify

2√5....................combine like terms

125 √45

125 √45= √25 x /9 × 5 = 5√√5 - 3√5=2

125 √45= √25 x /9 × 5 = 5√√5 - 3√5=2hope it helps u

Rewrite the equation by completing the square.
x? - 8x + 7 = 0
(x + __)^2 = 0

Answers

Answer:

(x - 4)² - 9 = 0

Step-by-step explanation:

x² - 8x + 7 = 0

To complete the square

add/subtract ( half the coefficient of the x- term)² to x² - 8x

x² + 2(- 4)x + 16 - 16 + 7 = 0

(x - 4)² - 9 = 0

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