15 POINTS

The linear function f(x) = 0.2x + 79 represents the average test score in your math class, where x is the number of the test tak

mario62 [17]

Using linear function:

A. f(2) = 79.4

B. g(2) = 84

C. Science class had the higher average after test 4.

<h3>How to Find the Equation of a Linear Function?</h3>

We are given the linear function for test score for Math class as, f(x) = 0.2x + 79.

Find the slope (m) and y-intercept (b) for function g(x) for science class.

Using (1, 86) and (2, 84):

Slope (m) = change in y/change in x = (86 - 84)/(1 - 2) = -2

Substitute m = -2 and (x, y) = (1, 86) into y = mx + b to find b:

86 = -2(1) + b

86 + 2 = b

88 = b

b = 88

Substitute m = -2 and b = 88 into g(x) = mx + b:

g(x) = -2x + 88

Part A: Substitute x = 2 into f(x) = 0.2x + 79

f(2) = 0.2(2) + 79 = 79.4

Part B: Substitute x = 2 into g(x) = -2x + 88

g(2) = -2(2) + 88 = 84

Part C: Substitute x = 4 into f(x) = 0.2x + 79 and g(x) = -2x + 88 respectively

f(4) = 0.2(4) + 79 = 79.8

g(4) = -2(4) + 88 = 80

Science class had the higher average after test 4.

Learn more about linear function on:

brainly.com/question/15602982

#SPJ1

7 0

1 year ago

Use the distributive property to remove the parentheses?<br><br> -8(-4w-3v+6)

olganol [36]

Answer:

32w + 24v - 48

Step-by-step explanation:

- 8(- 4w - 3v + 6) ← multiply each term in the parenthesis by - 8

= 32w + 24v - 48

4 0

2 years ago

A triangular face of the roof of the garage has two sides

aleksklad [387]

Answer:

The roof does form a right triangle.

Step-by-step explanation:

If it is a right triangle then it will obey the Pythagoras Theorem.

Now (√186)^2 = (√93)^2 + (√93)^2

186 = 93 + 93 = 186

So it obeys the theorem and is therefore a right triangle.

5 0

1 year ago

What is the relationship between area in the scale drawing and area on the on the actual tennis court if the scale is 1in.: 5ft.

sveticcg [70]

Given:

Length of the scale = 15.6 in.

Width of the scale = 7.2 in.

Scale of drawing = 1 in. : 5ft.

To find:

The ratio of area of the actual court to the area of the drawing (as a unit rate).

And to check whether it is the same as the ratio of length of the actual court to the length of the drawing.

Step-by-step explanation:

We have,

1 in. = 5ft.

Now, using this scale we get

15.6 in. = (15.6 × 5) ft =78 ft.

7.2 in. = (7.2 × 5) ft = 36 ft.

So, the actual length and width of tennis court are 78 ft and 36 ft respectively.

Area of actual tennis court is

$Area=length\times width$

$Area=78\times 36$

$Area=2808\text{ ft}^2$

The area of drawing is

$Area=15.6\times 7.2$

$Area=112.32\text{ in.}^2$

Now, ratio of area of the actual court to the area of the drawing (as a unit rate) is

$\dfrac{2808}{112.32}=\dfrac{25}{1}=25:1$

Ratio of area is 25:1 and ratio of length is 5:1 both area not same.

Therefore, the ratio of area of the actual court to the area of the drawing (as a unit rate) is 25:1.

7 0

3 years ago

Marcus drew a line from pint y to pint w

Vlad [161]

Can u give us more information please

3 0

3 years ago