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lisov135 [29]
2 years ago
9

Anyone have any idea? i dont have any idea

Mathematics
1 answer:
ladessa [460]2 years ago
8 0

Answer:

\tt f(x)=2x^2+20x-10

let y=f(x)

\tt y=2x^2+20x-10

\tt 2x^2+10x=y+10

\tt x^2+10x=\frac{1}{2} y+5

\tt x^2+10x+25=\frac{1}{2} y+30

\tt (x+5)^2=\frac{1}{2} (y+60)

\tt 2(x+5)^2=f(x)+60

\boxed{\tt f(x)=2(x+5)^2-60}

Hope it helps! :)

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Answer:

(x,y)=\left(\; \boxed{-1,-8} \; \right)\quad \textsf{(smaller $x$-value)}

(x,y)=\left(\; \boxed{5,16} \; \right)\quad \textsf{(larger $x$-value)}

Step-by-step explanation:

Given system of equations:

\begin{cases}y=x^2-9\\y=4x-4\end{cases}

To solve by the method of substitution, substitute the first equation into the second equation and rearrange so that the equation equals zero:

\begin{aligned}x^2-9&=4x-4\\x^2-4x-9&=-4\\x^2-4x-5&=0\end{aligned}

Factor the quadratic:

\begin{aligned}x^2-4x-5&=0\\x^2-5x+x-5&=0\\x(x-5)+1(x-5)&=0\\(x+1)(x-5)&=0\end{aligned}

Apply the <u>zero-product property</u> and solve for x:

\implies x+1=0 \implies x=-1

\implies x-5=0 \implies x=5

Substitute the found values of x into the <u>second equation</u> and solve for y:

\begin{aligned}x=-1 \implies y&=4(-1)-4\\y&=-4-4\\y&=-8\end{aligned}

\begin{aligned}x=5 \implies y&=4(5)-4\\y&=20-4\\y&=16\end{aligned}

Therefore, the solutions are:

(x,y)=\left(\; \boxed{-1,-8} \; \right)\quad \textsf{(smaller $x$-value)}

(x,y)=\left(\; \boxed{5,16} \; \right)\quad \textsf{(larger $x$-value)}

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Answer:

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Step-by-step explanation:

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Answer:

They either both have to be positive or negative.

Step-by-step explanation:

1 / 1 = 1

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This gets you positive, when both dividend and divisors are positive or negative.

-1 / 1 = -1

1 / -1 = -1

This gets you negative, when both dividend and divisors are different signs.

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3 years ago
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Answer:

A-3, B-4, C-1, D-2

Step-by-step explanation:

A:

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