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3 years ago

Help see the screenshot below! !

Mathematics

2 answers:

Phoenix [80]3 years ago

8 0

Answer:

p = 8h

Step-by-step explanation:

Divide each amount he earns by the number of hours he works.

When he earns $8, he works 1 hour.

When he earns $16, he works 2 hours.

When he earns $24, he works 3 hours.

8/1 = 8

16/2 = 8

24/3 = 8

For any amount that he earns, it is always 8 times the number of hours he works.

Answer: p = 8h

Artemon [7]3 years ago

4 0

Answer:

p = 8h

Step-by-step explanation:

for example, 16= 8 times 2 or 24 = 8 times 3

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Find an equation for the line that passes through the points (5.-5) and (-4,-2)

ANEK [815]

Answer:

$\large\boxed{y=-\dfrac{1}{3}x-\dfrac{10}{3}\to x+3y=-10}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

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

We have the points (5, -5) and (-4, -2).

Substiute:

$m=\dfrac{-2-(-5)}{-4-5}=\dfrac{-2+5}{-9}=\dfrac{3}{-9}=-\dfrac{1}{3}$

Put the value of the slope and the coordinates of the point (5, -5) to the equation of a line:

$-5=-\dfrac{1}{3}(5)+b$

$-5=-\dfrac{5}{3}+b$ add 5/3 to both sides

$-\dfrac{15}{3}+\dfrac{5}{3}=b\\\\-\dfrac{10}{3}=b\to b=-\dfrac{10}{3}$

Finally we have the equation of a line in the slope-intercept form:

$y=-\dfrac{1}{3}x-\dfrac{10}{3}$

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$x+3y=-10$

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