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2 years ago

Find the number of real number solutions for the equation. x2 + 9x + 20 = 0

Mathematics

1 answer:

fiasKO [112]2 years ago

6 0

$x^2 + 9x + 20 = 0 \\ x^2+4x+5x+20=0\\ x(x+4)+5(x+4)=0\\ (x+5)(x+4)=0\\ x=-5 \vee x=-4$

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Average rate of change help!!

frez [133]

Given that the function is $f(x)=x^{3}-6 x^{2}+4 x+7$

We need to determine the average rate of change over the interval $0 \leq x \leq 5$

Value of f(x) when x = 0:

Substituting x = 0 in the function $f(x)=x^{3}-6 x^{2}+4 x+7$ , we have;

$f(0)=(0)^{3}-6 (0)^{2}+4 (0)+7$

$f(0)=0-0+0+7$

$f(0)=7$

Thus, the value of f(0) is 7.

Value of f(x) when x = 5:

Substituting x = 5 in the function $f(x)=x^{3}-6 x^{2}+4 x+7$ , we have;

$f(5)=(5)^{3}-6 (5)^{2}+4 (5)+7$

$f(5)=125-150+20+7$

$f(5)=2$

Thus, the value of f(5) is 2.

Average rate of change:

The average rate of change can be determined using the formula,

$Rate \ of \ change=\frac{f(b)-f(a)}{b-a}$

where $a=0$ and $b=5$

Thus, we have;

$Rate \ of \ change=\frac{f(5)-f(0)}{5-0}$

$Rate \ of \ change=\frac{2-7}{5-0}$

$Rate \ of \ change=\frac{-5}{5}$

$Rate \ of \ change=-1$

Thus, the average rate of change over the interval $0 \leq x \leq 5$ is -1.

3 0

2 years ago

Solve this equation for x. Round your answer to the nearest hundredth. 0.69=log x

Musya8 [376]

See photo for solution

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3 years ago

Write a quadratic function f whose only zeros are -3 and -12

emmasim [6.3K]

Answer:

Step-by-step explanation:

f(x) = (x + 3)(x + 12)

f(x) = x^2 + 3x + 12x + 36

f(x) = x^2 + 15x + 36

3 0

2 years ago

Somebody tell me this ...

Sloan [31]

I think y= -9/12x + .5

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2 years ago

Jane babysits for $8 per hour. She earned $240 last week. This equation represents the number of hours, h, Jane babysat last wee

Tatiana [17]

Answer:

30 Hours

Step-by-step explanation:

8h=240

240÷8=30

8 0

3 years ago