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Angelina_Jolie [31]
3 years ago
10

Please help I’ll give brainliest

Mathematics
1 answer:
strojnjashka [21]3 years ago
7 0

\implies {\blue {\boxed {\boxed {\purple {\sf {D. \:  {9}^{2} }}}}}}

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}

{9}^{5}  \div  {9}^{3}

➼\:  {9}^{5 - 3}

➼\:  {9}^{2}

<h3><u>Note</u>:-</h3>

{a}^{m}  \div  {a}^{n}  =  {a}^{m - n}

\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}

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Determine the equations of the vertical and horizontal asymptotes if any for h(x)=(x+1)^2/x^2-1
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ANSWER

Vertical asymptote:

x=1

Horizontal asymptote:

y=1

EXPLANATION

The given rational function is

h(x) =  \frac{ {(x + 1)}^{2} }{ {x}^{2} - 1 }

h(x) =  \frac{ {(x + 1)}^{2} }{ ({x}  - 1)(x + 1)}

h(x) =  \frac{ (x + 1)(x + 1) }{ ({x}  - 1)(x + 1)}

h(x) =  \frac{ x + 1}{ {x}  - 1}

The vertical asymptote occurs at

{x} - 1 = 0

x = 1

The vertical asymptotes is x=1

The degree of the numerator is the same as the degree of the denominator.

The horizontal asymptote of such rational function is found by expressing the coefficient of the leading term in the numerator over that of the denominator.

y =  \frac{1}{1}

y=1

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3 years ago
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Step-by-step explanation:

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Answer:

Ok:

Step-by-step explanation:

I see that you set up 90 miles = 60 mph * t, where you found out that t = 1.5. What what you needed to do was set 180 miles = 45 mph * t. This is because it is 45 mph for the <em>whole</em> trip. Then, you find that t = 4 hours. That that means that he spent 2.5 hours driving back. Then, we can do d=vt and find 90/2.5 as the speed he went home at. Which comes out to be 36 mph.

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