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3 years ago

7

What is the rate of change in the y-values with respect to the x values

1 answer:

Aleks [24]3 years ago

8 0

Answer:

the average rate of change in y with respect to x over the interval is 7. that is, for every single unit by which x changes, y on average changes by 7 units.

Step-by-step explanation:

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Write various of the equation of a line that passes through (-6, 3) and has a slope of - 1/3

pishuonlain [190]

Answer:

$\large\boxed{y-3=-\dfrac{1}{3}(x+6)-\text{point-slope form}}\\\boxed{y=-\dfrac{1}{3}x+1-\text{slope-intercept form}}\\\boxed{x+3y=3-\text{standard form}}$

Step-by-step explanation:

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

$y-y_1=m(x-x_1)$

m - slope

We have

$m=-\dfrac{1}{3},\ (-6,\ 3)\to x_1=-6,\ y_1=3$

Substitute:

$y-3=-\dfrac{1}{3}(x-(-6))\\\\y-3=-\dfrac{1}{3}(x+6)$

Convert to the slope-intercept form

$y=mx+b$

$y-3=-\dfrac{1}{3}(x+6)$ <em>use the distributive property</em>

$y-3=-\dfrac{1}{3}x-2$ <em>add 3 to both sides</em>

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

Convert to the standard form

$Ax+By=C$

$y=-\dfrac{1}{3}x+1$ <em>multiply both sides by 3</em>

$3y=-x+3$ <em>add x to both sides</em>

$x+3y=3$

5 0

3 years ago

Rebecca owns nonfiction books and fiction books. The ratio of nonfiction books to fiction is 7:2. Rebecca owns 54 books. How man

Bess [88]

Answer:

42 books

Step-by-step explanation:

The ratio percent for nonfiction is 0.78%

You multiply the amount of book by the percent that is nonfiction which give you the answer of 42.

54(0.78) = 42

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SashulF [63]

Answer:

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Step-by-step explanation:

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3 years ago

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