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Tomtit [17]
3 years ago
6

The function y=f(x) is graphed below. What is the average rate of change of the function f(x) on the interval -3 ≤ x ≤ 6

Mathematics
1 answer:
victus00 [196]3 years ago
4 0

Answer:

Average ROC = 0

Step-by-step explanation:

Average ROC : (f(b) - f(a)) / (b - a)  ... slope = (y'-y) / (x'-x)

a = -3   f(a) = 10   ... x=-3, y=10

b = 6    f(b) = 10   ... x'=6, y'=10

Average ROC = (10 - 10) / (6 - -3) = 0 / 9 = 0

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The factors of the quadratic expression x² - 4x - 21 is <u>(x - 7)(x + 3)</u>, making the <u>first option</u> the right choice.

A quadratic expression is of the form ax² + bx + c, which can be factorized using the mid-term factorization method, where b is shown as the sum or difference of two such numbers, whose product is equal to the product of a and c.

In the question, we are asked to factorize the quadratic expression, x² - 4x - 21.

In the given expression, a = 1, b = -4, and c = -21.

Thus, ac = -21.

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Thus, the expression can now be shown as:

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Learn more about factorizing a quadratic expression at

brainly.com/question/52959

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AleksandrR [38]
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