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Valentin [98]
2 years ago
15

What is f(-3) for the function f(x) = -5x - 7? ​

Mathematics
1 answer:
sergij07 [2.7K]2 years ago
7 0
F(x) = -5(-3) - 7
15 - 7
f(-3) = 8
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This partial circle has a radius of 11 inches.
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First, find the area of the circle
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take your answer and divide it by 4 we would divide it by 2 if we had a semicircle but since we have a 3/4 circle we divide by 4 and then times the Quotient by 3
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3. Is the relationship shown by the data linear? If so, model the data with an equation X | Y 1 ,5| 5,10| 9,15| 13,20|
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Answer:

y=\frac{5}{4}x+\frac{15}{4}

Step-by-step explanation:

x | y

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This one is linear because as x goes up by the same number so does y. So the ratio of difference of y to difference of x is the same per pair of points.

So a linear equation in slope-intercept form is y=mx+b where m is the slope and b is the y-intercept.

To find the slope, I'm going to line up the points vertically and subtract, then put 2nd difference over 1st difference. Like so,

( 1    ,   5)

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-4          -5

So the slope is 5/4 which makes sense since the y's are going up by 5 each time and the x's are going up by 4 each time.

So we have m=5/4. Let's plug that into our y=mx+b.

y=5/4 x+b

To find b, we need to use y=5/4 x+b along with one of the given points.

Choose; it doesn't matter.  I like (1,5) I guess.

y=5/4 x +b with (1,5)

5=5/4 (1)+b

5=5/4    +b

Subtract 5/4 on both sides:

5-5/4=b

20/4-5/4=b  (Found a common denominator)

15/4=b

The y-intercept is 15/4 so b=15/4.

So the equation for the line in slope-intercept form is y=5/4 x +15/4.

y=\frac{5}{4}x+\frac{15}{4}

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