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2 years ago

What are the zeros of the function below?

Mathematics

1 answer:

zzz [600]2 years ago

6 0

Answer:

A. 0 and 6

Step-by-step explanation:

We look for values of x that make the numerator zero be letting the numerator equal 0.

8x(x - 6) = 0

8x = 0 or x - 6 = 0

x = 0 or x = 6

The denominator excludes x = -2 and x = -9 from the domain, but since the zeros are not those values, the values excluded from the domain do not affect the zeros of the function.

Answer: A. 0 and 6

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Plz help

kvv77 [185]

Option C: $5 x(4 x+7)(3 x+2)$ is the possible expressions for length, width and height of the prism.

Explanation:

The volume of the rectangular prism is $60 x^{3}+145 x^{2}+70 x$

To determine the length, width and height of the rectangular prism, let us factor the expression.

Thus, factoring 5x from the expression, we have,

$5 x\left(12 x^{2}+29 x+14\right)$

Let us break the expression $12 x^{2}+29 x+14$ into two groups, we get,

$5x[\left(12 x^{2}+8 x\right)+(21 x+14)]$

Factoring 4x from the term $12 x^{2}+8 x$ , we get,

$5x[4 x(3 x+2)+(21x+14)]$

Similarly, factoring 7x from the term $21 x+14$ , we get,

$5x[4 x(3 x+2)+7(3x+2)]$

Now, let us factor out $3x+2$ , we get,

$5 x(4 x+7)(3 x+2)$

Hence, the possible expressions for length, width and height of the prism is $5 x(4 x+7)(3 x+2)$

Therefore, Option C is the correct answer.

8 0

2 years ago

The average annual income, I, in dollars, of a lawyer with an age of x years is modeled with the following function:

Eduardwww [97]

I = -425x^2 + 45500x - 650000
For I to be maximum, dI/dx = 0
dI/dx = -850x + 45500 = 0
x = 45500/850 = 53.53

Therefore, maximum I = -425(53.53)^2 + 45500(53.53) - 650000 = 567,794.11

Therefore, <span>the maximum average annual income, in dollars, a lawyer can earn</span> is $567,794

8 0

3 years ago

Which equation demonstrates the additive identity property?

Ira Lisetskai [31]

The additive identity property states that for every number a, you have

$a+0=a$