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3 years ago

If f(x) = 3x - 12, what is f(2)? -6 -18 18 6

Mathematics

2 answers:

dusya [7]3 years ago

4 0

Answer: -6

Explanation: In this problem, we're given the function f(x) = 3x - 12 and we're asked to find f(2).

To find f(2) or the value of the function when x equals 0, we simply substitute 2 in for x in our function. So we have f(x) = 3(2) - 12 or 6 - 12 which equals -6.

So f(2) or the value of the function when x equals 2 is -6.

Serhud [2]3 years ago

4 0

The final answer is -6

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PLEASE HELP ASAP

Crank

Option D: $f(x)=-2(x+2)(x-4)$ is the function

Explanation:

Let the general form of quadratic equation be $y=a x^{2}+b x+c$

The function passes through the intercepts $(-2,0)$ and $(4,0)$ and also passes though the point $(-1,10)$

Substituting the points $(-2,0)$ , $(4,0)$ and $(-1,10)$ in the equation $y=a x^{2}+b x+c$ , we get,

$4a -2b+c=0$ -----------(1)

$16a +4b+c=0$ ----------(2)

$a-b+c=10$ -----------(3)

Subtracting (1) and (2), we get,

$\ \ 4a -2b+c=0\\ 16a +4b+c=0\\\---------\\ \ \ -12a-6b=0$ -----------(4)

Subtracting (2) and (3), we get,

$16a +4b+c=0\\\ \ a \ \ - \ \ b \ +c=10\\---------\\15a+5b=-10$ ------------(5)

Multiplying equation (4) by 5 and equation (5) by 4, to cancel the term b when adding, we get,

$-60a-30b=0\\\ 90a+30b=-60\\--------\\30a=-60\\\ \ a=-2$

Thus, the value of a is $a=-2$

Substituting $a=-2$ in equation (4), we get,

$\begin{aligned}-12 a+6 b &=0 \\-12(-2)-6 b &=0 \\ 24-6 b &=0 \\ 24 &=6 b \\ 4 &=b \end{aligned}$

Thus, the value of b is $b=4$

Now, substituting the value of a and b in equation (1), we have,

$\begin{aligned} 4 a-2 b+c &=0 \\ 4(-2)-2(4)+c &=0 \\-8-8+c &=0 \\ c &=16 \end{aligned}$

Thus, the value of c is $c=16$

Now, substituting the value of a,b and c in the general formula $y=a x^{2}+b x+c$ , we get,

$y=-2x^{2} +4x+16$

Taking out the common term as -2 we get,

$y=-2(x^{2} -2x-8)$

Factoring , we get,

$y=-2(x+2)(x-4)$

Thus, the function is $f(x)=-2(x+2)(x-4)$

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3 years ago

What value of x makes the equation 7x-2(3x+1)=4x-(3-x)-19 true?

nekit [7.7K]

Answer:

X=5

Step-by-step explanation:

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4 years ago

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labwork [276]

Answer:

Step-by-step explanation:

10%=11

because you divide 110 by 10.

Then i would multiply that by 3, giving you 33

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3 years ago

What type (irrational, Rational, whole, natural, integer) of numbers are these?

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3 years ago