All categories

3 years ago

At which values of x does the function F(x) have a vertical asymptote? Check all that apply.

Mathematics

1 answer:

Anton [14]3 years ago

3 0

You get vertical asymptotes because the x-value causes you to try to divide by 0.

If you look at the denominator, the x-values of 0, 1, and -5 all will make the denominator equal to 0, making the whole function explode.

You find these by solving 3x(x-1)(x+5)=0.

That's your answer: 0, 1, and -5

You might be interested in

A car travels 60 miles due north then makes a turn due west. It travels 72 miles west. How far is the car from its starting poin

Harlamova29_29 [7]

Answer:

93.7 miles

Step-by-step explanation:

This problem can be represented as a right angled triangle. The distance between the final point and the starting point is the hypotenuse.

We need to find the hypotenuse. We can use Pythagoras rule:

$hyp^2 = opp^2 + adj^2$

where opp = opposite side to the angle considered

adj = adjacent side to the angle considered

This implies that:

$x^2 = 60^2 + 72^2\\\\x^2 = 8784\\\\x = \sqrt{8784} \\\\x = 93.7 miles$

The car is 93.7 miles far from its starting point.

6 0

4 years ago

If mZDCB = 140°, then mZACD = [?]° !!!PLS HELP I WILL MARK BRAINLIEST !!!

Readme [11.4K]

Answer:

40°

Step-by-step explanation:

$m\angle DCB +m\angle ACD = 180\degree$ (Linear pair angles)

$\implies 140\degree +m\angle ACD = 180\degree$

$\implies m\angle ACD = 180\degree-140\degree$

$\implies m\angle ACD = 40\degree$

5 0

2 years ago

A discount airline sells a certain number of tickets, x, for a flight for $90 each. It sells the number of remaining tickets, y,

yKpoI14uk [10]

Answer:

x+y= 120

90x+250y=27,600

Step-by-step explanation:

x= number of certain tickets

y= number of remaining tickets

The statement indicates that for a particular flight the airline sold 120 tickets which means that the sum of the different tickets is 120. The first equation is:

x+y= 120

Then, the statement says that certain number of tickets costs $90 and the remaining tickets cost $250 and that for a particular flight, the airline collected $27,600. From this, you can say that the number of certain tickets, x, multiply for its price that is $90 plus the number of the remaining tickets, y, multiply for its price that is $250 would be equal to $27,600. The equation would be:

90x+250y=27,600

According to this, the answer is that the system of equations that represents this relationship between x and y is:

x+y= 120

90x+250y=27,600

7 0

4 years ago

Gwen, Tristan, and Keith like to work out at the gym. They each have an app on their phone that estimates the calories they burn

aleksandrvk [35]

Answer:

Part A:

Gwen has already burned 100 calories when Tristan and Keith started, and he continues to burn 10 calories per minute. The equation for Gwen is

y = 100 + 10x

Part B:

Tristan is burning 125 calories every 10 minutes. His burning calories rate is 12.5 calories per minute. The equation for Tristan is

y = 12.5x

Part C:

Keith is burning 300 calories in 30 minutes. His rate per minute is 10 calories per minute. The equation for Keith is

y = 10x

Part D:

Just follow the instructions and do the thing for the app. You can then answer the questions it is very easy.

Part E:

Do the same for E after you do Part D.

Step-by-step explanation:

Hope it helps!

6 0

3 years ago

Read 2 more answers

Joe is taking out a five year loan with a 7% interest rate compounded quarterly to buy a $4000 car. What will he have paid in to

Sergio [31]

Answer:

$5659.11

Step-by-step explanation:

We are given;

Time of loan maturity is 5 years
Rate of compound interest is 7% compounded quarterly
Principal amount of the car is $4000

We are required to determine the total amount he paid at the end of 5 years..

The concept being tested is compound interest;

We are going to use the compound interest formula;

Amount = P(1+r/100)^n

Where P is the the principal amount

r is the rate of interest

n is the interest periods

In this case;

n = (5 × 4) = 20

r = 7 ÷ 4 = 1.75 ( as the money was compounded quarterly)

Thus;

Amount =$ 4000 ( 1 + 1.75)^20

= $4000 (1.0175)^20

= $5659.11

Therefore, the money that Joe will have paid at the end of 5 years is $5659.11

6 0

4 years ago