All categories

3 years ago

Which of the following rational functions is graphed below?

Mathematics

1 answer:

Varvara68 [4.7K]3 years ago

8 0

Your function is not defined at x=0 and x=4 (you have vertical asymptotes there). So, the denominator must be zero at x=0 and x=4. This is the case for

$x(x-4)$

So, the function with that denominator is graphed.

You might be interested in

Figure Ais reflected across the line to create figure A’

topjm [15]

What about it? What is your question that ur asking

4 0

3 years ago

Find the final amount. $4000 invested at 11% APR compounded quarterly for 5 years The final amount is $ nothing. (Do not rou

Angelina_Jolie [31]

<h3>The final amount is $ 6881.71</h3>

Solution:

The formula for compound interest, including principal sum, is:

$A = p(1 + \frac{r}{n})^{nt}$

Where,

A = the future value of the investment

P = the principal investment amount\

r = the annual interest rate in decimal

n = the number of times that interest is compounded per unit t

t = the time the money is invested

From given,

p = 4000

t = 5

$r = 11 \% = \frac{11}{100} = 0.11$

n = 4 ( compounded quarterly )

Substituting the values in formula,

$A = 4000(1 + \frac{0.11}{4})^{4 \times 5}\\\\ A = 4000( 1.0275)^{20}\\\\A = 4000 \times 1.720428\\\\A = 6881.7137 \approx 6881.71$

Thus the final amount is $ 6881.71

5 0

3 years ago

AB ← → is tangent to circle O at point A. If m∠AOB = 72degrees what is m∠ABO ?

tatuchka [14]

Answer:

$m\angle ABO=18^o$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

If AB is tangent to circle O at point A

then

AB is perpendicular to AO (radius) and Triangle ABO is a right triangle

$m\angle ABO+m\angle AOB=90^o$ ----> by complementary angles in a right triangle

substitute the given value

$m\angle ABO+72^o=90^o$

$m\angle ABO=90^o-72^o=18^o$

7 0

3 years ago

What is the equation of the line that passes through the points (-6,2) and (4,-3)

stich3 [128]

Answer:

The equation is: 9x-y = 56

Step-by-step explanation:

Given two point: (x,y) = (-6,2)

(x,y) = (4,-3)

Now, to find the slope of the line:

Slope = y1-y2/x1-x2 => 2-4/-6-(-3) = -1/9

Then, the equation of the line passing through a point:

=> y-y1 = m(x-x1)

=> y-2 = -1/9(x-6)

=> 1(y-2) = -9(x-6)

=> y-2 = -9x+54

=> 9x-y = 56

7 0

3 years ago

PLEASE BRAINLY HELP MEEEEE

Montano1993 [528]

Answer:

1 ) 1/2

2) 1/4

3)10, 15 , 20, 25 , 30 ,35 ......

4) 16,24,32,...

5)40

6) 42

7)17/24

8)11/16

9) 3/8

10) 1/20

8 0

3 years ago