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3 years ago

Which relation represents a proportional function?

Mathematics

1 answer:

Advocard [28]3 years ago

4 0

The answer is A, this is because as the amount of toppings increases so does the price increase proportionally.

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You added 3 3/4 cups of flour, 1 1/4 cups of oil, and 2 2/4 cups of water to a bowl for a recipe. How many cups did you combine

Archy [21]

3 3/4 + 1 1/4 + 2 2/4

3/4 + 1/4 + 2/4 = 1 1/2

3 + 1 + 2 + 1 1/2 = 7 1/2 cups total

4 0

3 years ago

Write the equation of the line passing through the points (-4,-1) and (2,8)

klio [65]

<h3>Explanation:</h3>

Calculate the slope with two given coordinate points by using rise over run.

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Let these points

$\begin{cases}(x_1, y_1) = ( - 4, - 1) \\ (x_2, y_2) = ( 2, 8) \end{cases}$

$m = \frac{8 - ( - 1)}{2 - ( - 4)} \\ m = \frac{8 + 1}{2 + 4} \Longrightarrow \frac{9}{6} \Longrightarrow \frac{3}{2} \\ m = \frac{3}{2}$

Slope-Intercept

$y = mx + b \\ m = slope \\ b = y - intercept$

Substitute the value of m in the equation.

$y = \frac{3}{2} x + b$

Substitute any coordinate points that are given or part of the graph in the equation.

$(x_, y) = ( - 4, - 1)$

$- 1 = \frac{3}{2} ( - 4) + b$

Solve the equation for b-term.

$- 1 = \frac{3}{ \cancel{2}} ( \cancel{ - 4}) + b\\ - 1 = 3( - 2) + b \\ - 1 = - 6 + b \\ - 1 + 6 = b \\ 5 = b$

Rewrite the equation by substituting the value of b in the equation.

$y = \frac{3}{2} x + 5$

<h3>Answer</h3>

$\large \boxed{y = \frac{3}{2} x + 5}$

If you have any questions related to the answer, feel free to ask via comment.

7 0

3 years ago

Marianna [84]

Solution:

Note that:

AB = EF
BC = EG = 6x - 8
7x - 19 = 2x + 11
Perimeter of triangle: 24 + 2x + 11 + 6x - 8

Solving for x:

7x - 19 = 2x + 11
=> 7x - 2x = 19 + 11
=> 5x = 30
=> x = 30/5 = 6

Substitute the value of x into the expression (24 + 2x + 11 + 6x - 8):

24 + 2x + 11 + 6x - 8
=> 24 + 2(6) + 11 + 6(6) - 8
=> 24 + 12 + 11 + 36 - 8
=> 24 + 12 + 3 + 36
=> 75 units

The perimeter of the triangle ABC is 75 units.

7 0

2 years ago

In the data set below, what are the lower quartile, the median, and the upper quartile?

ivolga24 [154]

Answer:

its 55

Step-by-step explanation:

6 0

3 years ago

PLEASE HELP!!! WILL GIVE BRAINLIEST AND ITS WORTH 30 points!!

olasank [31]

145*.

Hope this helps

3 0

3 years ago

Read 2 more answers