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lina2011 [118]
3 years ago
14

Help -------------------------

Mathematics
1 answer:
34kurt3 years ago
8 0

Answer:

(A) -3 ≤ x ≤ 1

Step-by-step explanation:

The given function is presented as follows;

h(x) = x² - 1

From the given function, the coefficient of the quadratic term is positive, and therefore, the function is U shaped and has a minimum value, with the slope on the interval to the left of <em>h</em> having a negative rate of change;

The minimum value of h(x) is found as follows;

At the minimum of h(x), h'(x) = d(h(x)/dx = d(x² - 1)/dx = 2·x = 0

∴ x = 0/2 = 0 at the minimum

Therefore, the function is symmetrical about the point where x = 0

The average rate of change over an interval is given by the change in 'y' and x-values over the end-point in the interval, which is the slope of a straight line drawn between the points

The average rate of change will be negative where the y-value of the left boundary of the interval is higher than the y-value of the right boundary of the interval, such that the line formed by joining the endpoints of the interval slope downwards from left to right

The distance from the x-value of left boundary of the interval that would have a negative slope from x = 0 will be more than the distance of the x-value of the right boundary of the interval

Therefore, the interval over which <em>h</em> has a negative rate of change is -3 ≤ x ≤ 1

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Aloiza [94]

Answer:

D) -3

Step-by-step explanation:

Slope of a linear function:

The slope of a linear function is the amount by which y changes when x increases by 1.

In this question:

When x = 1, y = 12

When x = 2, y = 9

When x = 3, y = 6

When x = 4, y = 3

So each time x increases by 1, y decreases by 3, which means that the slope is -3, and the answer is given by option D.

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Zanzabum

Answer + step-by-step explanation:

7/10 as a decimal would be 0.7.

7/10 or 0.7 in a word form would be seven tenths.

<em><u>Hope this helps, if my answer or explanation is wrong  </u></em>

<em><u>feel free to message me in the comments :).</u></em>  

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3 years ago
the population of the city in north carolina is 403,892 what is 403,892 rounded to the nearest thousand
Thepotemich [5.8K]
403, 892 rounded to the nearest thousand is 404,000.

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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
Nady [450]

Answer:

A) 2x³+11x²+8x-16

Step-by-step explanation:

When you multiply s(x) by t(x) you get something like this:

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3 years ago
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