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WINSTONCH [101]
3 years ago
8

ANSWER ASAP!! I know this is confusing, but apparently you have to answer a, b, c, and d.

Mathematics
1 answer:
stiks02 [169]3 years ago
3 0

Answer:

A. (15/150)*20 = 2 miles

B. (6/20)*150 = 45 minutes

C. 20/2.5 = 8 miles/hour

D. 20/150 = 0.13 miles / minute

Step-by-step explanation:

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Evaluate the following limit:
Makovka662 [10]

If we evaluate the function at infinity, we can immediately see that:

        \large\displaystyle\text{$\begin{gathered}\sf \bf{\displaystyle L = \lim_{x \to \infty}{\frac{(x^2 + 1)^2 - 3x^2 + 3}{x^3 - 5}} = \frac{\infty}{\infty}} \end{gathered}$}

Therefore, we must perform an algebraic manipulation in order to get rid of the indeterminacy.

We can solve this limit in two ways.

<h3>Way 1:</h3>

By comparison of infinities:

We first expand the binomial squared, so we get

                         \large\displaystyle\text{$\begin{gathered}\sf \displaystyle L = \lim_{x \to \infty}{\frac{x^4 - x^2 + 4}{x^3 - 5}} = \infty \end{gathered}$}

Note that in the numerator we get x⁴ while in the denominator we get x³ as the highest degree terms. Therefore, the degree of the numerator is greater and the limit will be \infty. Recall that when the degree of the numerator is greater, then the limit is \infty if the terms of greater degree have the same sign.

<h3>Way 2</h3>

Dividing numerator and denominator by the term of highest degree:

                            \large\displaystyle\text{$\begin{gathered}\sf L  = \lim_{x \to \infty}\frac{x^{4}-x^{2} +4  }{x^{3}-5  }  \end{gathered}$}\\

                                \ \  = \lim_{x \to \infty\frac{\frac{x^{4}  }{x^{4} }-\frac{x^{2} }{x^{4}}+\frac{4}{x^{4} }    }{\frac{x^{3} }{x^{4}}-\frac{5}{x^{4}}   }  }

                                \large\displaystyle\text{$\begin{gathered}\sf \bf{=\lim_{x \to \infty}\frac{1-\frac{1}{x^{2} } +\frac{4}{x^{4} }  }{\frac{1}{x}-\frac{5}{x^{4} }  }  \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ =\frac{1}{0}=\infty } \end{gathered}$}

Note that, in general, 1/0 is an indeterminate form. However, we are computing a limit when x →∞, and both the numerator and denominator are positive as x grows, so we can conclude that the limit will be ∞.

5 0
2 years ago
U GET BRAINLIEST IF ANSWER CORRECTLY
tangare [24]
1)5/24
2)1 and 1/3 im not sure 
3)1 and 1/3
4)1/7
7 0
3 years ago
If the statue liberty is 305 feet tall and a model is 1/100 of the actual size how tall is the model?
Goryan [66]
It would be 3.05 feet tall
5 0
3 years ago
Express as a trinomial.<br> (2x+4)(x-1)
alex41 [277]
-2x^2+2x-4 is the answer
5 0
3 years ago
Read 2 more answers
How do i round 15,677 to the nearest ten thousand
kap26 [50]
15,677 would become 20,000. If the number were lower, it would've became 10,000. Hope this helps. :)
3 0
3 years ago
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