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nata0808 [166]
3 years ago
9

Please!!! Help!!

Mathematics
2 answers:
Svetach [21]3 years ago
3 0

well the intercepts are  (8,0) and (-4,0) its a lot of math so you need to find it i would show you but i have a quiz

im not sure tho soo

Marianna [84]3 years ago
3 0

Answer:

The x-intercepts of the quadratic function are 8 and -4.

Step-by-step explanation:

The given function is

f(x)=x^2-4x-32

Equate the function f(x) equal to 0, to find the x-intercepts of the quadratic function.

f(x)=0

x^2-4x-32=0

The middle term can be written as -8x+4x.

x^2-8x+4x-32=0

x(x-8)+4(x-8)=0

Take out the common factors.

(x-8)(x+4)=0

Using zero product property,

x-8=0\Rightarrow x=8

x+4=0\Rightarrow x=-4

Therefore the x-intercepts of the quadratic function are 8 and -4.

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An equivalent expression with a rational denominator is...
Whitepunk [10]

Given the expression,

(8x-56x^2)/(\sqrt{14x-2})

We will have to rationalize the denominator first. To rationalize the denominator we have to multiply the numerator and denominator both by the square root part of the denominator.

[(8x-56x^2)(\sqrt{14x-2})]/[(\sqrt{14x-2})(\sqrt{14x-2})]

If we have (\sqrt{a})(\sqrt{a}), we will get \sqrt{a^2} by multiplying them. And \sqrt{a^2} = a.

So here in the problem, we will get,

[(8x-56x^2)(\sqrt{14x-2})]/(14x-2)

Now in the numerator we have (8x-56x^2). We can check 8x is common there. we will take out -8x from it, we will get,

-8x(-1+7x)

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And in the denominator we have 14x-2. We can check 2 is common there. If we take out 2 from it we will get,

2(7x-1)

So we can write the expression as

[(-8x)(7x-1)(\sqrt{14x-2})]/[2(7x-1)]

(7x-1) is common to the numerator and denominator both, if we cancel it we will get,

(-8x)(\sqrt{14x-2})/2

We can divide -8 by the denominator, as -8 os divisible by 2. By dividing them we will get,

(-4x)(\sqrt{14x-2})

(-4x)(14x-2)^(1/2)

So we have got the required answer here.

The correct option is the last one.

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