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2 years ago

Which graph represents the function f (x) = StartFraction 3 x minus 2 Over x minus 2 EndFraction?

1 answer:

8 0

The graph which represents the rational function is; On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 2, and the horizontal asymptote is at y = 3.

<h3>Which graph represents the rational function?</h3>

It follows from the task content that the rational function given is; f(x) = 3x-2/x-2.

Hence, since the numerator and denominator polynomials are of the same order, it follows that the horizontal asymptote is the quotient; 3/1 = 3.

Additionally, the vertical asymptote of the function is the value of x which renders the denominator equal to 0 and consequently, the function undefined.

Hence, x -2 = 0 and x= 2.

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Then top two need a the slope found please and the other two have the directions

SCORPION-xisa [38]

Answer:

Step-by-step explanation:

Ok put it at the point (2, 3)

then from that point go up one and to the right two times then repeat

when you get to the top, go back to the point (2,3) and then from there go down one and to the left two times then repeat

Then the other one start at the point (1,-3)

then go down two from the point then move right 3

the start at the point again and move up 2 then 3 to the left

4 0

3 years ago

What is the equation of the line parallel to 3x + 5y = 11 that passes through the point (15, 4)?

soldier1979 [14.2K]

Answer:

The answer is

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

The original line is 3x + 5y = 11

We must first write the equation in the general equation above

So we have

5y = - 3x + 11

Divide both sides by 5

Comparing with the general equation above

Slope = - 3/5

Since the lines are parallel their slope are also the same

Slope of parallel line = - 3/5

So the equation of the line using point

(15, 4) and slope - 3/5 is

We have the final answer as

Hope this helps you

8 0

3 years ago

Which expression is equivalent to (9x2y6)−1/2?

galben [10]

Answer:

B. 1/(3xy^3)

Step-by-step explanation:

The minus sign can be dealt with first, then the root taken.

$\left(9x^{2}y^{6}\right)^{-\frac{1}{2}}=\dfrac{1}{\sqrt{9x^{2}y^{6}}}\\\\=\dfrac{1}{\sqrt{9}\sqrt{x^2}\sqrt{y^6}}=\dfrac{1}{3xy^3}$

8 0

3 years ago

The planning department of abstract office supplies has been asked to determine what is the company should introduce a new compu

BabaBlast [244]

Answer:

<em>The company needs to sell 40 desks to break even</em>

Step-by-step explanation:

<u>Application of Equations</u>

There is virtually no limit to the possible situations where equations can help to find the solution of specific problems related to areas like economy, where one could need to establish some important indicators about the business.

B. The fixed cost for Abstract Office Supplies to sell a new computer desk is $14,000. Each desk will cost $150 to produce. The cost function to produce X desks is

C(x)=150x+14,000

A. The revenue for each desk is estimated at $500, for X desks will be

R(x)=500x

C. The company will break even when the cost and the revenue are the same. We'll find how many desks need to be sold for that to happen. We equate

C(x)=R(x)

Or equivalently

150x+14,000=500x

Rearranging

500x-150x=14,000

350x=14,000

Solving for x

x=14,000/350= 40

The company needs to sell 40 desks to break even

4 0

3 years ago

In 1924, the temperature in Fairfield, Montana, dropped from 63 degrees to -21 degrees in 12 hours. What was the average hourly

Pavlova-9 [17]

The average change hourly is 7 degrees per hour

4 0

3 years ago