2 years ago

Which of the following situations are equal to 20? Select all that apply.

Mathematics

1 answer:

svetoff [14.1K]2 years ago

3 0

Answer:

A and B

Step-by-step explanation:

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Choose the correct answer for each of the following questions Find the y-intercept for following equation F(X)=-(X+1)^21- -12- -

devlian [24]

Solution

Find the y-intercept for following equation:

$f(x)=-(x+1)^2$

Using the slope equation formular:

$\begin{gathered} y=mx+c \\ f(x)=-(x+1)^2 \\ f(x)=-x^2-2x-1 \end{gathered}$

The value of y when x = 0

$\begin{gathered} f(0)=-0^2-2(0)-1 \\ y=-1 \end{gathered}$

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Step-by-step explanation:

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3 years ago

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F(x)= 5x^2+6, g(x)= 7x find (f o g)(x), find (g o f)(x), find f(g(-4)), fine g(f(5))

KiRa [710]

$(f o g)(x) = 245x^2+6\\(g o f)(x) = 5x^2+42\\ f(g(-4)) = 3926\\g(f(5)) = 917$

Step-by-step explanation:

Given

$f(x) = 5x^2+6\\g(x) = 7x$

$(f o g)(x) = 5(7x)^2+6\\= 5(49x^2)+6\\=245x^2+6\\(g o f)(x) = 7(5x^2+6)\\= 35x^2+42\\(fog(x))=245x^2+6f(g(-4)) = 245(-4)^2+6 \\=245(16)+6\\=3920+6\\=3926\\g(f(x)) = 35x^2+42\\g(f(5)) = 35(5)^2+42\\=35(25)+42\\=875+42\\=917$

Hence,

$(f o g)(x) = 245x^2+6\\(g o f)(x) = 5x^2+42\\ f(g(-4)) = 3926\\g(f(5)) = 917$

Keywords: functions, Function composition

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