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3 years ago

Identify the oblique asymptote of f(x) = quantity 2 x squared plus 3 x plus 8 over quantity x plus 3.

1 answer:

4 0

The oblique asymptote in the slope-intercept form is:
y = m x + b, where:
m = $\lim_{x \to \infty} \frac{ 2x^{2}+3x+8}{ x^{2} +3x}$ = 2
b = $\lim_{x \to \infty} \frac{ x^{2} +3x+8}{x+3} - 2 x = \\ \lim_{x \to \infty} \frac{2 x^{2} + 3 x + 8 - 2 x^{2} -6x}{x+3}= \\ \lim_{x \to \infty} \frac{-3x+8}{x+3}$ = -3
Answer: y = 2 x - 3

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Aplumber charges a $75 flat fee for jobs lasting up to an hour and $30 for each hour of labor after the first hour. Which

tamaranim1 [39]

<h3>Answer:- </h3>

$\longrightarrow \sf 75+ 30(h-1)$

<h3>Solution:-</h3>

Given that :-

job last for h hours
Cost of job lasting more than 1 hour = $30
Cost for the first hour = $75

$\leadsto$ Remaining hours for which the job will last after first hour= (h-1)

Therefore,

Cost for subsequent hours = 30×(h-1)

= 30(h-1)

Total Cost for job = Cost for 1st hour + Cost for subsequent hours

$\quad\quad\quad\quad\quad\quad\quad\quad\boxed{\sf{= 75+30(h-1)}}$

7 0

2 years ago

Create an equation to solve for x then solve for x.

Ratling [72]

Answer:

Step-by-step explanation:

In parallelogram adjacent angles are supplementary

∠U +∠V = 180

9x + 15 + 6x + 15 = 180

Combine like terms

9x + 6x + 15 + 15 = 180

15x + 30 = 180

Subtract 30 from both sides

15x = 180 - 30

15x = 150

Divide both sides by 15

x = 150/15

x = 10

∠U = 9x + 15

= 9*10 + 15

= 90 + 15

∠U = 105

∠V = 6x + 15

= 6*10 + 15

= 60 + 15

∠V = 75

5 0

3 years ago

12.) Find the x-intercept and y intercept of the following equation. 9x + 6y = -36

Alik [6]

Answer:

Thevalue of x-intercept is 0

and y intercept is-6.

Step-by-step explanation:

here,9x+6y=-36

9x = -36 - 6y

x=(-36 -6y)/9

x=(-12-2y)/9.........(i)

putting value of x in question

9[(-12-2y)/9]+6y=-36

-12-2y+6y= -36

-12+4y= -36

4y=-24

y=-6

puting value of x in equation (i)

x=(-12-2y)/9

x=(-12-2×-6)/9

x=0

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4 0

3 years ago

NEED HELP FAST PLEASE !!!!Which of the following is an equation of the translation y = cos x, shifted π units to the right?

Verdich [7]

Answer:

2 one

Step-by-step explanation:

6 0

3 years ago

How would you do this?

Goshia [24]

Using the formula y=200+50x, plug in x=1 to get y=250.

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3 years ago