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2 years ago

Pre-calc, Which statement correctly uses limits to determine a vertical asymptote of _____ (image attached)

Mathematics

1 answer:

Ainat [17]2 years ago

7 0

Answer:

Option D

Step-by-step explanation:

Given the function $g(x)=\frac{-7(x-5)^2(x+6)}{(x-5)(x+5)}$ , we see that $(x-5)$ appears in both the numerator and denominator which cancel out to be $\frac{-7(x-5)(x+6)}{(x+5)}$ . This means that there's a vertical asymptote at $x=-5$ for the denominator to be 0.

Additionally, the limit of the function g(x) as x approaches -5 from the left side is -∞. The limit of the function g(x) as x approaches -5 from the right side is ∞. See the attached graph for a visual of these limits.

In conclusion, option D is correct.

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2 years ago

The number of walls, w, that Joe can paint in t hours is given by the equation w=32t−1. Answer the questions below.

klio [65]

We have been given an equation $w=\frac{3}{2}t-1$ that represents umber of walls, w, that Joe can paint in t hours. We are asked to find the number of hours it will take Joe yo paint 7 walls.

To solve our given problem, we will substitute $w=7$ in our given equation as:

$7=\frac{3}{2}t-1$

Let us solve for t.

$7+1=\frac{3}{2}t-1+1$

$8=\frac{3}{2}t$

$8\cdot\frac{2}{3}=\frac{2}{3}\cdot\frac{3}{2}t$

$\frac{8\cdot2}{3}=t$

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Therefore, it will take $\frac{16}{3}$ hours Joe to paint 7 walls.

3 0

3 years ago

How many integer solutions are there to the equation x1+x2+x3=0 if x1,x2,x3 > -5?

anyanavicka [17]

<span>x1+x2+x3=0 if x1,x2,x3 > -5?
and the solutions are integer
x1= - 4 and x2+x3=4 we count (-4;4;0), (-4;0;4), (-4;3;1), (-4;1;3), (-4; 2;2), (-4;2;2)
x1= -3 and x2+x3=3 we count (-3; 0;3), (-3;3;0), (-3;1;2), (-3;2;1)
x1= -2 and x2+x3=2 we count (-2;0;2). (-2;2;0), (-2;1;1)
x1= -1 and x2+x3=1 we count (-1;0;1), (-1;1;0)
x1=0 and (0;0;0), (0;1;-1), (0;-1;1)
There are 42 solutions
Have fun</span>

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2 years ago

A secretary’s hourly wage is $21. On Sunday, the secretary earns time and a half. How much does the secretary earn for working e

AVprozaik [17]

She earns twenty one dollars a hour regularly half of that is ten dollars and fifty cents . Add this to twenty one equals thirty one fifty a hour times eight equals two hundred and fifty two dollars for working on Sunday for eight hours .

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3 years ago