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2 years ago

The graph of g(x) goes through the point (-4, 1) and is parallel to h(x) = 5x - 2 points

Mathematics

1 answer:

vesna_86 [32]2 years ago

5 0

Answer:

$g(x)=5x+21$

Step-by-step explanation:

The slope of g(x) is 5 because the slope of h(x) is 5 and g is parallel to h.

In point-slope form:

$g(x)-1=5(x+4)$

Rearranging for slope intercept form:

$g(x)-1=5x+20\\g(x)=5x+21$

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Match the correct y=mx+b equation to the graph: pls show work/explanation!

Basile [38]

Answer:

$y=-3x+2$

$\boxed{m=-3,\ b=2}$

Step-by-step explanation:

Equation of a line

To define the equation of a line, we only need two points through which it passes. The graph shows two clear points to choose: (0,2) and (1,-1)

Set up the equation of the line by using the formula

$\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

$\displaystyle y-2=\frac{-1-2}{1-0}(x-0)$

Operating

$y-2=-3x$

Rearranging

$y=-3x+2$

$\boxed{m=-3,\ b=2}$

5 0

3 years ago

A story owner wants to prepare 100 lb of a candy mix that she will she for $1.36 per lb. She mixes 20 lb of jelly beans that cos

faust18 [17]

Answer:

1.65

Step-by-step explanation:

100 pounds of the mixture = 1.36 * 100 = 136 dollars.

She uses 20 pounds of jelly beans that cost

20 * .20 = 4.00

136 - 4 = 132 dollars left for 80 pounds of sugar candies.

80 pounds = 132 pounds of sugar candies.

1 pound = x

80/1 = 132 / x Cross multiply

80x = 132

x = 132 / 80

x = 1.65 / per pound

7 0

3 years ago

Cecilia's train travled at 240 miles in 3 hours. How far will it travel in 5.5 hours.

yanalaym [24]

5.5÷3 is 1.83333333, that times 240 is 440

6 0

3 years ago

743 times 295 answer please

Mamont248 [21]

The answer is 219,775

5 0

3 years ago

Read 2 more answers

9 × a number is 4500. what is the number?

oee [108]

We can write the equation 9x=4500

Now we just solve for x by dividing both sides by 9 to get:
x=500

Hope this helps!

3 0

3 years ago

Read 2 more answers