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3 years ago

If f(x)=×^2-81andg(x)

Mathematics

1 answer:

defon3 years ago

3 0

9514 1404 393

Answer:

the correct choice is marked

Step-by-step explanation:

$f(x)\cdot g(x)=(x^2-81)\dfrac{x+9}{x-9}=\dfrac{(x-9)(x+9)(x+9)}{(x-9)}\\\\=\boxed{(x+9)^2}$

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In the system of equations, r and s are constants. If the system has infinitely many solutions, what is the value of rs?

exis [7]

Answer: B) -48

Step-by-step explanation:

If the system of two linear equations $a_1x+b_1y=c_1\ \&\ a_2+b_2y=c_2$ has infinitely many solutions , then

$\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}=k$

For the given system of linear equations : $rx-sy=26\\4x+3y=13$

We , will have

$\dfrac{r}{4}=\dfrac{-s}{3}=\dfrac{26}{13}=2\\\\\Rightarrow\ r= 4\times2=8\ \ \&\ \ s=2\times-3=-6$

The value of $rs=(8)\times-6=-48$

Hence, the value of rs is -48.

Thus , the correct option is B) -48.

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3 years ago

Han drinks three gallons of iced tea each day. Each gallon of iced tea contains ¾ cups of sugar. How much sugar does Han drink w

erica [24]

Answer:

3 cups of sugar.

Step-by-step explanation:

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$\frac{3}{4} = 1 \text{-gallon}$

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12/4 is equal to 3, so the answer is 3.

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2 years ago

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3 years ago

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saveliy_v [14]

Answer:

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Step-by-step explanation:

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2 years ago

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skelet666 [1.2K]

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2 years ago

If f(x)=×^2-81andg(x)​

If f(x)=×^2-81andg(x)