2
Which statement is true about the asymptotes of a rational function if the degree of the polynomial function in the numerator is 1 and the
degree of the polynomial function in the denominator is 2?
О А.
It has two horizontal asymptotes
OB
It has only one vertical asymptote.
It has only one horizontal asymptote.
D.
It has no vertical asymptote.
E.
It has no horizontal asymptote.

The equation of a line passing through the point (8, 9) with a slope of 3 is y = 3x - 15.

Suppose the given points are [tex](x_1, y_1) and (x_2, y_2),[/tex]

then the equation of the straight line joining both two points is given by

[tex](y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)[/tex]

We have been given a line passing through the point (8, 9) with a slope of 3.

then the equation of the straight line joining both two points is given by

[tex](y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)[/tex]

Its slope would be:

[tex]m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]

m = 3

Therefore, the equation of the straight line

[tex](y - 9) = 3 (x -8)\\\\y - 9 = 3x - 24\\\\y = 3x -15[/tex]

Hence, the equation of a line passing through the point (8, 9) with a slope of 3 is y = 3x - 15.

Learn more about straight-line equations here:

https://brainly.com/question/380976

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Answer:

1. 14

2. 11

3. 19.5

4. 16

5. 76

6. 10

7.  2.5

8. 4.5

9. Mean: 10, Median: 9, Mode: 7

10. Mean: 6, Median: 7, Mode: 8,5

11. Mean: 10, Median: 11.5, Mode: 12

Step-by-step explanation:

Answer:

5/9

Step-by-step explanation:

Answer:

5/9

Step-by-step explanation:

Answer: 3.75 miles

Step-by-step explanation:

Divide 30 by 8. 30/8= 3.75. If she walked 1/8 then she walked 3.75 miles

Answer:

[tex]5\sqrt{3}[/tex] or 8.66

Step-by-step explanation:

use tan:

tan = [tex]\frac{opposite}{adjacent}[/tex]

⇒ tan 60 = [tex]\frac{x}{5}[/tex]

tan of 60 is 1.73

⇒ 1.732 = [tex]\frac{x}{5}[/tex]

multiply 5 on both sides

⇒ 1.732 x 5 = [tex]\frac{x}{5}[/tex] x 5

⇒ 8.66

Answer:

[tex]\boxed {\boxed {\sf D. \ 5 \sqrt 3 \ or \ 8.66}}[/tex]

Step-by-step explanation:

Remember the 3 main trigonometric ratios:

We are given the 60 degree angle. 5 is adjacent to the angle and x is opposite. Therefore, we must tangent.

[tex]tan \theta= \frac {opposite}{adjacent}[/tex]

[tex]tan60=\frac {x}{5}[/tex]

Since we are solving for x, we must isolate that variable. It is being divided by 5 and the inverse of division is multiplication. Multiply both sides by 5.

[tex]5(tan60)=\frac {x}{5} *5[/tex]

[tex]5(tan60)=x\\5*$$1.73205080757= x\\8.66025403784=x[/tex]

If we round to the nearest hundredth, the 0 in the thousandth place tells us to leave the 6.

[tex]8.66 \approx x[/tex]

x is about 8.66 or 5√3, which is choice D.

Answer: 37. 7in

12*3.14= 37.68

Rounded= 37.7 inches

Answer: 123

Step-by-step explanation:

Foe us to solve this, we have to find the lowest common multiple of 16, 20 and 24 first and then add 3 to the LCM. This goes thus:

Multiples of 16 = 16, 32, 48, 64, 80, 96, 112, 128, 144, 160

Multiples of 20 = 20, 40, 60, 80, 10, 120, 140, 160

Multiples of 24 = 24, 48, 72, 96, 120

Therefore, the Lowe's common multiple is 120.

We then add the remainder of 3 and this will give:

= 120 + 3

= 123

Step-by-step explanation:

Answer:

Step-by-step explanation:

maybe 30 vtfyubf6tyubtfcgnfgghghnvb ngvbhfhgbfvgn

Answer:

The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

y=mx+b

Rewrite in slope-intercept form.

y= −1/2x+8

Step-by-step explanation:

Hope it is helpful...

Hey there!

The answer is y = [tex]\frac{-1}{2}[/tex]x + 8

To put it into slope-intercept form, we must get "y" by itself on one side of the equation. First, to do this, we will subtract "x" from both sides.

2y = -x + 16

Lastly, we divide both sides by 2

y = [tex]\frac{-1}{2}[/tex]x + 8

Have a super awesome day! :)

Since 5 winning numbers are draw and there are exactly 2 winning numbers, the other 3 numbers chosen have to be incorrect.

The 2 numbers picked right, there are 5C2=10 different possibilities.

The other 3 numbers are just picked from the rest of the 32 numbers. Getting there are 32C3=4960 different possibilities.

For each set of 2 correct winning numbers, you could have the 4960 different losing numbers to match up to make a unique set. This meant that there are 4690*10=46900 different total possibilities.

Now the total different outcomes of how you can choose the numbers are 37C5=435897 outcomes.

Now the way to find probabilities is want/total

The want is 46900 and the total is 435897

Doing the division you get the number rounded to the nearest thousandths as   0.107 or in percent form as

10.759% chance of picking exactly 2 winning numbers.

This seems like a competition problem of some sort therefore I assume that you already know what combinations in form nCk and permutation in form nPk means.

Answer:

Function A has a greater initial value because the initial value for Function A is 6 and the initial vale for Function B is 3

Step-by-step explanation:

The data for Function A is presented here as follows;

[tex]\begin{array}{cc}x&y\\-1&9\\0&6\\1&3\\2&0\end{array}[/tex]

The slope of the function, 'm', is given using any two points as follows;

m = (9 - 3)/((-1) - 1) = -3

The slope of the function = -3

The equation of function in point and slope form is given as follows;

y - 3 = -3·(x - 1)

The equation of Function A, is therefore, given as follows;

y = 3 - 3·x + 3 = 6 - 3·x

∴ y = 6 - 3·x

The equation of Function B is given as follows;

y = 6·x + 3

The initial value of a function is given by the y-intercept of the function, where the input variable (x-variable) is zero

The initial value, (y-intercept) of Function A, f(0) is therefore found as follows;

f(x) = y = 6 - 3·x

f(0) = 6 - 3×0 = 6

The initial value of Function A, f(0) = 6

Similarly, the initial value, (y-intercept) of Function B, f(0) is found as follows;

f(x) = y = 6·x + 3

f(0) = 6×0 + 3 = 3

The initial value of the Function B, f(0) = 3

Therefore, we have that Function A has a greater initial value than Function B

Answer:

14,599

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:Only 1 term because the others are coefficients because they have a variable by them.

Answer:

volume of a cylinder is πr²h

ie

3.14 × 7× 7 × 11

you get

1692.46

Answer:

A and B

Step-by-step explanation:

Answer:

golf ball striking the ground is a collision.

The ground exerts an equal force on the golf ball. y-step explanation:

PLATO

Answer:

there are 8 one dollar bills and 3 five dollar bills

Step-by-step explanation:

Answer. 655.4

Step-by-step explanation:

what did u get?

Answer:

6

Step-by-step explanation:

peeiroeoeolonesoapsodndd

Answer: 4! 300:75     Hope you have a great day! Good luck on any stressful school homework stuff you have today too!

Step-by-step explanation: A fraction consists of two numbers and a fraction bar:

300/75

The number above the bar is the numerator: 300

The number below the bar is the denominator: 75

Divide the numerator by the denominator to get fraction's value:

300/75 =

300 ÷ 75 =

4:1

Answer:

10 - 104

11 - 25

12 - 64

13 - 109

14 - 33

15 - 90

Step-by-step explanation:

For the first 3 triangles u must add the two angles and minus it from 180

Q number 13 do the same thing then minus the number u got by 180

Q number 14 .... 66 - 180 = 33

Q number 15 it is a right angle so it is 90

Answer:

Step-by-step explanation:

the was I understand matrix multiplication, I re-learned tonight so I could be wrong but.....

according to Gaggle    matrix multiplication is possible when the number of columns in matrix 1  equals the number of rows in matrix 2

       it is called the dot product  (that sounds familiar)

first choice has 2 columns  and 1 row              can't multiple this one

second choice has 1 column  and 2 rows        can't multiple this one

third choice has 2 columns  and 1 row             can't multiple this one

fourth choice has 1 column  and 1 row        This one can be multiplied

Answer:

Area=πr²

=3.14×(6/2)²

=28.26 ft²

Step-by-step explanation:

Answer:

8%

Step-by-step explanation:

Divide 35 and 437.50 and you get 0.8

Then multiply .8 times 100 = 8%

Answer: 14.4

Step-by-step explanation:

60 * (24/100) = 14.4

Answer:

33.49 cubic units

Step-by-step explanation:

[tex]V_{sphere} = \frac{4}{3} \times \pi {r}^{3} \\ \\ V_{sphere} = \frac{4}{3} \times \pi {(2)}^{3} \\ \\ V_{sphere} = \frac{4}{3} \times \pi \times 8 \\ \\ V_{sphere} = \frac{32 \times 3.14}{3} \\ \\ V_{sphere} = \frac{100.48}{3} \\ \\ V_{sphere} = 33.4933333\\ \\ V_{sphere} \approx 33.49\: units^3 [/tex]

Answer:

A two-sample t-test for a difference between population means

Step-by-step explanation:

Answer:

D) A two-sample  t -test for a difference between population means

Step-by-step explanation:

Two random samples are selected on a quantitative variable, and the difference in the sample means will be calculated. The appropriate test is the two-sample t-test for a difference in population means.

Answer:

that would be 80

Step-by-step explanation:

Here it is