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Alex787 [66]
3 years ago
11

Find the quotient. 2x − 3 x ÷ 7 x2

Mathematics
2 answers:
Inessa05 [86]3 years ago
6 0

Answer:

Step-by-step explanation:

2x- 3/7x

   

Rom4ik [11]3 years ago
4 0
The answe is 8x/7 +0
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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
A theater contains 460 seats and the ticket prices for a recent play were $52 for adults and $26 for children. If the total proc
Vlada [557]

Answer:

The answer to your question is There were sold 166 adult tickets and 294

                                                     children tickets.

Step-by-step explanation:

Data

Total number of seats = 460

cost for adults = a = $52

cost for children = c = $26

Total cost = $16276

Process

1.- Write equations to solve this problem

              a + c = 460                    Equation l

         52a + 26c = 16276             Equation ll

2.- Solve the system of equation by substitution.

-Solve equation l for a

             a = 460 - c

-Substitute a in equation ll

         52(460 - c) + 26c = 16276

-Expand

         23920 - 52c + 26c = 16276

-Simplify

                     -26c = 16276 - 23920

                     -26c = -7644

                          c= -7644/-26

                          c = 294

3.- Find a

                        a = 460 - 294

                        a = 166

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3 years ago
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BCD and BAD is correct
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Pl help it’s for a grade show work if you can
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Answer:

m degree 2

Step-by-step explanation:

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8 0
3 years ago
What is the equation of this graphed line?
o-na [289]

Answer:

y = 2x + 2

Step-by-step explanation:

Notice that this line passes thru (-4, -6) and (2, 6). As we move from (-4, -6) and (2, 6), x increases by 6 and y increases by 12.  Thus, the slope is

m = rise / run = 12/6 = 2.

From the graph we can see that the y-intercept is (0,2).  Thus, the slope-intercept equation of this line is:

y = 2x + 2

8 0
3 years ago
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