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masha68 [24]
3 years ago
6

If f(x) = x2 + 2x + 3, what is the average rate of change of f(x) over the interval [-4, 6]?

Mathematics
1 answer:
a_sh-v [17]3 years ago
7 0

Calculating the value of f(x) for the given interval.

For x = - 4, f(x) = f(- 4) = (- 4)^2 + 2 (- 4) + 3 = 11

For x = 6, f(x) = f(6) = (6)^2 + 2 (6) + 3 = 51

Now using formula for the calculation of average rate of change of f(x) over the given interval of [- 4, 6];

(f(b) – f(a)) / b – a = (f(6) – f(- 4)) / 6 – (- 4) = (51 -11) / 10 = 4

<span>So option “E” is correct.</span>
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hichkok12 [17]

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3 years ago
Find the value of x by finishing solving the system shown below.
Andreas93 [3]

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Use the quadratic formula to solve the equation if necessary round to the nearest hundredth x^2+x-30=0
yaroslaw [1]

Answer:

(x-5)(x+6)=0

Step-by-step explanation:

hehe i doing the smae unit rn.

if a=1 (which it does do ac factoring)

you need two numbers that multiply to -30 and add to 1. those numbers  are 5 and -6.

substitute 1x for -5x + 6x.

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since the parenthesis r the same yo only need one. Now you need to put x and 6 in a parenthesis.

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