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Oksanka [162]
3 years ago
13

Here’s a graph of a linear function. Write the equation that describes that function. Express it in slope intercept form.

Mathematics
1 answer:
MatroZZZ [7]3 years ago
4 0

Answer:

y = \frac{3}{4\\}x + 2

Step-by-step explanation:

To find the slope:

    Find two spots where the line intersects and exact point. (-8,-4)(-4,-1)

    Either count up & over or do y1-y2 / x1-x2 (-4+1)/(-8+4) -3/-4 3/4

The intercept is where it crosses the y-axis, in this case 2

Write the equation like this y = mx + b  where m=slope & b=intercept

y = 3/4x + 2

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The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it cost her $420 to drive 500 mi
djyliett [7]

Answer:

C(d) = \frac{1}{5}d + 320

Step-by-step explanation:

Given

d \to miles

C \to cost

So:

(d_1,C_1) = (500,420) --- May

(d_2,C_2) = (620,444) --- June

Required

Express as a function

Start by calculating the slope (m)

m = \frac{\triangle C}{\triangle d}

m = \frac{444-420}{620-500}

m = \frac{24}{120}

Simplify

m = \frac{1}{5}

The equation is:

C(d) = m(d - d_1) +C_1

C(d) = \frac{1}{5}(d - 500) +420

C(d) = \frac{1}{5}d - 100 +420

Take LCM

C(d) = \frac{1}{5}d + 320

6 0
3 years ago
Does the table represent a linear or nonlinear function
Kipish [7]

Answer:

Non-Linear

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Why did Dante write the Inferno
makkiz [27]

Answer:

he used it as a vehicle to express his political beliefs and take comfort in imagining bad ends for his enemies. However, the poem's main purpose is, to quote Milton, to "justify the ways of G0d to Men."

Step-by-step explanation:

4 0
3 years ago
The area of a square is 36 square feet. each side of the square measures
choli [55]

6 ft for each side, bc area is side times side, which 6x6=36
6 0
2 years ago
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Given the function F (x) = x2 -2x -5 determine the average rate of change of the function over the interval -5 < x <6.
KengaRu [80]

Answer:

1

Step-by-step explanation:

Here f(x) = x^2 - 2x - 5, which at x - -5 is 25 +10 - 5 = 30 and at x = 6 is 19.

The average value of a function f(x) over an interval [a, b] is

                  f(b) - f(a)

ave. val. = ---------------

                     b - a

which in this particular case is

                     19 - 30

ave. val. = ----------------- = -11/11 = 1

                     6 - (-5)

The average value of this function f(x) = x^2 - 2x - 5 on [-5, 6] is 1.

4 0
3 years ago
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