Write an equation that represents the following statement: 6 less than the product of r and 4 is 2

Mathematics

1 answer:

3241004551 [841]3 years ago

8 0

Answer: R x 4 - 6

Step-by-step explanation:

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Dafna11 [192]

A.The greatest possible sum of a and b can be 47 if the two integers are -1 and 48
B.Yes it is possible. The two integers are-3 and 16.
C. The least possible difference is -49 if the two integers are 1 and -48

4 0

3 years ago

Estimate the rate of change of the graphed function over the interval -4 <_ x <_ 0

dezoksy [38]

Answer:

0.2071

Step-by-step explanation:

It looks like the graph is of the function ...

y = √(x +8) -2

We know that (-4, 0) is one point on the graph. The other point of interest is at x=0, where y = √8 -2 ≈ 0.8284.

The average rate of change on the interval is then ...

m = (0.8284 -0)/(0 -(-4)) = 0.2071

The average rate of change on the interval is about 0.2071.

_____

<em>Rougher estimate</em>

The graph goes through the points (-4, 0) and (1, 1), so has a slope of 1/5 = 0.2 on the interval [-4, 1]. We know the graph does not go through (0, 1), so the slope is not as high as 1/4 = 0.25. The curve is concave downward, so the average slope will be higher than 0.2, but we aren't sure how much higher.

A reasonable estimate of the rate of change on the interval is "a little more than 0.2, but less than 0.25."