What are the equations of the lines with the given slope and y-intercept
1. Slope:2, y-intercept: -3
2. Slope: 4, y-intercept: -2

Answer:

Expression

Step-by-step explanation:

The definition of an Algebraic Expression is this:

Algebra is an interesting and enjoyable branch of mathematics in which numbers, shapes, and letters are used to express problems.

It can not be an Algebraic Equation because that only includes one variable.

I Hope That This Helps! :)

Answer:

Quadrant III

Step-by-step explanation:

because in quadrant III there is both negative terms

Answer:

The rate of change is y with respect to x is [tex]\frac{25}{4}[/tex]

Step-by-step explanation:

Given

[tex]25x - 4y = 50[/tex]

Required

Determine the rate of change of y w.r.t x

[tex]25x - 4y = 50[/tex]

First, make y subject of formula

[tex]4y = 25x- 50[/tex]

Divide through by 4

[tex]y = \frac{25x}{4} - \frac{50}{4}[/tex]

[tex]y = \frac{25x}{4} - 12.5[/tex]

Next, we differentiate the above w.r.t to x

The result of the differentiation is the solution to the question

[tex]y' = 1 * \frac{25x^{1-1}}{4} -0[/tex]

[tex]y' = 1 * \frac{25x^0}{4}[/tex]

[tex]y' = 1 * \frac{25*1}{4}[/tex]

[tex]y' = \frac{25}{4}[/tex]

Hence, the rate of change is y with respect to x is [tex]\frac{25}{4}[/tex]

By calculating derivative of y with respect to x we got rate of change of y with respect to x for 25x-4y=0 is 25/4

Rate of change of a function with respect to a variable is called derivative of that function with respect to that variable .

Here given relation is 25x-4y=0

[tex]\Rightarrow 4y=25x\\\\\Rightarrow y=\frac{25x}{4}[/tex]

We have to calculate rate of change of y with respect to x so we will calculate derivative of y with respect to x.

we can calculate derivative of y with respect to x as

[tex]\frac{dy}{dx}= \frac{d}{dx} (\frac{25x}{4})\\\\[/tex]

As 25/4 is constant we can take it out from derivative function as it is

[tex]\frac{dy}{dx}= (\frac{25}{4})\frac{dx}{dx}\\\\[/tex]

And we know derivative of a variable with respect to itself is 1

so

[tex]\frac{dy}{dx}= (\frac{25}{4})\times 1\\\\ \frac{dy}{dx}= \frac{25}{4}[/tex]

By calculating derivative of y with respect to x we got rate of change of y with respect to x for 25x-4y=0 is 25/4

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Answer:

y=4

x=2

Step-by-step explanation:

y=4

x=2

I think it's right..

Hope I helped!

Answer:

x - intercept = 2

y - intercept = 4

Answer:

sin x, –1

Step-by-step explanation:

did on edge

Answer:

4

Step-by-step explanation:

1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010

Answer: B

Step-by-step explanation: You just multiplying 25 with 10 and w which can be simplified as 24(w+10) and adding with the 13.5 x 10 and 13.5 x w, which can be simplified as 13.5(10+w)

Answer:

Aniyah does not have enough for 14 cups, and needs 1 1/6 more.

Using the required arithmetic concept, we can conclude that Aniya needs 7/6 more cups.

Representing the problem thus:

4 cups of trail = 2/3 cups of raisins

14 cups of trails = x

Cross multiply

4x = (2/3) × 14

4x = 28/3

x = (28/3) ÷ 4

x = (28/3) × (1/4)

x = 7/3

Cups of raisins Aniya has = 1 1/2 = 3/2

Extra cups needed = 7/3 - 3/2 = 7/6 cups

Therefore, Aniya does not have enough, she needs 7/6 more cups.

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Answer:

a. angle 6 and angle 7

b. angle 6 and angle 8

c. angle 3 and angle 1

Step-by-step explanation:

linear pair is two angles that share a base and and add up to 180

vertical angles is the pair of opposite angles formed by two intersecting lines

congruent is the same measure

Answer:

see explanation

Step-by-step explanation:

(a)

A linear pair of angles, are adjacent to each other and sum to 180°

There are 8  linear pairs in the diagram, they are

1 and 2 / 2 and 3 / 3 and 4 / 4 and 1 / 5 and 6 / 6 and 7 / 7 and 8 / 8 and 5

(b)

There are 4 vertical angles in the diagram

1 and 3 / 2 and 4 / 5 and 7 / 6 and 8

Note that vertical angles are congruent

Other congruent angles are

2 and 6 / 3 and 7 / 1 and 5 / 4 and 8 ( All corresponding angles )

4 and 6 / 3 and 5 ( are Alternate angles )

Answer:

72.5%

Step-by-step explanation:

Lets make his score a percentage: 58/80

Now covert it to a percentage: 58/80 = x/100

Cross multiply: 80x = 5800, x = 145/2

Divide 145 by 2: 72 1/2

Answer is 72.5%

I hope this helped, please mark Brainliest, thank you!

Answer:

Kindly refer to explanation.

Step-by-step explanation:

Given that:

A,B and C are 3 points on circumference of circle with centre O.

AOB is diameter.

Kindly refer to the attached image.

To prove:

[tex]\angle ACB = 90^\circ[/tex]

Solution:

Let [tex]\angle A = x[/tex] and [tex]\angle B = y[/tex].

Construction: Join point  A with centre O.

Considering [tex]\triangle AOC[/tex]:

Side AO = OC because both are the radius.

Angles opposite to equal sides in a triangle are equal.

Therefore, [tex]\angle ACO=\angle A=x[/tex]

Considering [tex]\triangle BOC[/tex]:

Side BO = OC because both are the radius.

Angles opposite to equal sides in a triangle are equal.

Therefore, [tex]\angle BCO=\angle B=y[/tex]

[tex]\angle ACB = \angle ACO + \angle BCO = x+y[/tex] ...... (1)

Now, in [tex]\triangle ABC:[/tex]

Using angle sum property of triangle:

[tex]\angle A + \angle B + \angle ACB =180^\circ\\\Rightarrow x+y+x+y=180^\circ\\\Rightarrow 2(x+y)=180^\circ\\\Rightarrow x+y=90^\circ[/tex]

By equation (1):

[tex]\angle ACB = 90^\circ[/tex]

Hence proved.

Answer:

Slope = -7

y-intercept = -9

Step-by-step explanation:

The slope formula is y = mx + b where m is the slope value and b is the y-intercept value. In this case, since both values have a negative sign in front of them, they are both negative.

y = mx + b

y = -7x - 9

m = -7 which is the slope

b = -9 which is the y -intercept

Answer:

In standard form -3x⁵ + x³ + 4x² - 8x

Step-by-step explanation:

Answer:

x = -5 , y = 2

Step-by-step explanation:

Solve the following system:

{y + 2 x = -8

-5 y + 3 x = -25

Hint: | Choose an equation and a variable to solve for.

In the first equation, look to solve for y:

{y + 2 x = -8

-5 y + 3 x = -25

Hint: | Solve for y.

Subtract 2 x from both sides:

{y = -2 x - 8

-5 y + 3 x = -25

Hint: | Perform a substitution.

Substitute y = -2 x - 8 into the second equation:

{y = -2 x - 8

3 x - 5 (-2 x - 8) = -25

Hint: | Expand the left hand side of the equation 3 x - 5 (-2 x - 8) = -25.

3 x - 5 (-2 x - 8) = (10 x + 40) + 3 x = 13 x + 40:

{y = -2 x - 8

13 x + 40 = -25

Hint: | Choose an equation and a variable to solve for.

In the second equation, look to solve for x:

{y = -2 x - 8

13 x + 40 = -25

Hint: | Isolate terms with x to the left hand side.

Subtract 40 from both sides:

{y = -2 x - 8

13 x = -65

Hint: | Solve for x.

Divide both sides by 13:

{y = -2 x - 8

x = -5

Hint: | Perform a back substitution.

Substitute x = -5 into the first equation:

{y = 2

x = -5

Hint: | Sort results.

Collect results in alphabetical order:

Answer: {x = -5 , y = 2

Answer:

The vertex is (3,1)

Step-by-step explanation:

Brainliest please

Answer/Step-by-step explanation:

Part A: The function that would best describe Option A is a linear function. This is because an increase in x would have a corresponding additive increase in y. With each increasing year, the value of Option A increases by $100. This is how we know Option A would be a linear function.

Part B: a(t) = y.

a(t) = a + 100t

Part C: The function that would best describe Option B is an exponential function. Unlike linear functions, an increase in x would have a corresponding multiplicative increase in y. Each value of Option B shares a common ratio of 1.1.

Part D: b(t) = y.

b(t) = b(1.1)^t

Part E: a(20) = a + 100(20)

1100 + 2000 = 3100

b(20) = b(1.1)^20

1100(1.1)^20

= 7400

There is definitely a significant difference between the value of Bridgette’s investment in both options. The difference between the values of each option after 20 years is 4300. Bridgette is better off using Option B if she wants more money at the end.

Hope this helps!

Answer:

Step-by-step explanation:

Total cups of chocolate available = 7 1/3 cups

each batch uses 2/3 of a cup of chocolate

To get the number of batches of muffin Jim can bake, we will use the equality postulate.

1 batch = 2/3 cup of a chocolate

x batch = 7 1/3 cups of chocolate

Cross multiply

2/3 x = 7 1/3

2/3 x = 22/3

cross multiply

2x * 3 = 3 * 22

6x = 66

x = 66/6

x = 11

Hence Jim can bake at most 11 batches of muffins

Answer:

c(n) = 4n +20

let m = c(n)

m= 4n +20

make n the subject

m -20 =n

4.

inverse function of c(n)= n-20

4

It is a must that one replaces the m with the n in order to get the final answer

i would love to help but i just need free points

Step-by-step explanation:

Answer:

2.5 × t = 2.5 t

Step-by-step explanation:

Answer:

3

Explanation:

For every 3 cupcakes that Edgar gets, Fred gets 1. So, if Edgar gets 9, Fred gets 3.

Answer:

Step-by-step explanation:

Area formula

Then

Answer:

Step-by-step explanation:

∠1 = 180° - 88° = 92°

∠5 = 81° (alternate interior angles)

∠4 = 180° - ( 81° + 64° ) = 35°

∠3 = 180° - ( 81° + 35° ) = 64°

∠2 = 88° - 64° = 24°

Answer:

1. 92°

2. 24°

3. 64°

4. 35°

5. 81°

Step-by-step explanation:

1.

180 - 88 = 92°

5.

81° and ∠5 are alternate angles because there are two parallel lines. This means that ∠5 would be 88° as well (alternate angles are equal)

4.

Sum of angles in a triangle = 180°

∠4 + 88 + 64 = 180

∠4 = 35°

3.

Linear pair = 180°

∠3 + 81 + 35 = 180

∠3 = 180 - 81 - 35

∠3 = 64°

2.

Sum of angles in a triangle = 180°

∠2 + 92 + 64 = 180°

∠2 = 24°

Answer:

B.)

Step-by-step explanation:

A rational number is a number with no repeating decimals or decimals that go on “forever” like pi.  An expample of a rational number is 2 where 2.3333333... is not a rational number.  Pi isn’t a rational number either since forth there is no known end to that.  

So, when solved:

A.) = 1.58113883...  (irrational)

B.) = -8 (rational)

C.) = 8.94427191... (irrational)

D.) = 3.794733192... (irrational)

I hope you see the pattern.  Hope this helps!

Answer:no

Step-by-step explanation:

Because there’s two number 9’s for the x values

Answer:

no because x = 9 has two y coordintates, and in a function every x value can only have one y value.

Step-by-step explanation:

Answer:

60.71

Step-by-step explanation:

Given that:

Consumption of poultry per capita is modeled by:

y=-.2125t^2 + 2.615t+56.33 ; t = 0 corresponds to 1990

Per capita poultry consumption in 1992;

1992 ; t = 2

y=-.2125t^2 + 2.615t+56.33

Put t = 2 in the equation

y=-.2125(2)^2 + 2.615(2) +56.33

y = -.2125(4) + 2.615(2) + 56.33

y = - 0.85 + 5.23 + 56.33

y = 60.71

Answer:

y - 5 = -4(x + 1)

Step-by-step explanation:

The point-slope form is y - k = m(x - h).  The point is (h, k):  (-1, 5) and the slope is -4.

Here we have y - 5 = -4(x + 1)

The required point-slope form of the equation of the line is y - 5 = -4(x + 1).

Given that, To determine an equation in point-slope form for the line that passes through the point with the given slope. point: (-1, 5) and m=-4.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
The point-slope of the equation of the line is given by,
y - y₁ = m(x - x₁)
Put the values in the above equation of the line
y - 5 = -4 (x - (-1))
y - 5 = -4 (x + 1)

Thus, the required point-slope form of the equation of the line is y - 5 = -4(x + 1).

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Answer:

The length of the equal sides of the given quadrilateral comes to be 11 inches.

A quadrilateral is a polygon with 4 sides.

Suppose the length of the three equal sides =x inch

Length of the fourth side =7 inches

So, the perimeter of the quadrilateral = x+x+x+7

The perimeter of the quadrilateral = 3x+7

Given that the perimeter of the quadrilateral = 40inches

3x+7=40

3x=33

x=11

So, the length of three equal sides = 11 inches

Therefore, the length of the equal sides of the given quadrilateral comes to be 11 inches.

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Answer:

because The perimeter of a rectangular playground can be no greater than 120 meters, The width of the playground cannot exceed 22 meters

=> the length of the playground cannot exceed: (120/2)-22= 38(meters)

Step-by-step explanation: