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Answer:

The value of q and p is 4 and -24  respectively.

Step-by-step explanation:

Being [tex]f(x)=\frac{p+8}{x-q}[/tex] , the line x=4 is a vertical asymptote to the graph of f(x).  The line r is an asymptote of a function if the graph of the function is infinitely close to the line r. That is, an asymptote is a line to which a function approaches indefinitely, without ever touching it.

Being a rational function that which can be expressed as the quotient of two polynomials, a vertical asymptote occurs when the denominator is 0, that is, where the function is not defined. In this case:

x - q= 0

Solving:

x= q

Being the line x=4 the vertical asymptote, then

4=q

Then the function f (x) is:

[tex]f(x)=y=\frac{p+8}{x-4}[/tex]

The y intercept is (0,4). This is, x= 0 and y=4. Replacing:

[tex]4=\frac{p+8}{0-4}[/tex]

Solving:

[tex]4=\frac{p+8}{-4}[/tex]

4*(-4)= p+8

-16= p+8

-16 - 8= p

-24= p

The value of q and p is 4 and -24  respectively.

Answer:

6) A. 5x+5

7) D. 0

8) A. 5x+5

9) I'm not sure sorry

Step-by-step explanation:

Answer:

50/2.80= 17

17 dounuts

Answer:

-871

Step-by-step explanation:

Equation: -16x - 7

54th term: -16(54) - 7 = -864 - 7 = -871

Answer:

Step-by-step explanation:

y=mx+b

m is slope

b is y-intercept

slope is 9/10

y-intercept is 1

Answer: -1 ≤ x ≤ 4.

Step-by-step explanation: To solve this problem, we first add 7 to the inequality: -4 ≤ 4x ≤ 16. Then we divide the entire equation by 4 to get -1 ≤ x ≤ 4.

Answer:

true

Step-by-step explanation:

x²-4/x²+9x+20 >=0

cross multiplying the equation we have,

(x²-4/x²+9x+20)*x²+9x+20 >= 0*x²+9x+20

= x²-4>=0

x²>=4

taking the square root of both sides, we have:

√x²>= √4

x >=2

Answer:

Step-by-step explanation:  V= Voltage

                                               I= Current

                                               R= Resistance

Ohm's Law Mathematically expressed as: I= V/R or V= IR or R= V/I

V= 500

I= ?

R= 250

I= V/R

I= 500/250

I= 2 amps

Answer:

I know it know!!!!

Step-by-step explanation:

Answer:

she should preform division

Step-by-step explanation:

Answer:

Actually, it's C multiplication Cutty you can't be giving Wrong answers.

Step-by-step explanation:

It's C Multiplication because Were using the PEMDAS technique and this stands for

P- Parenthesis

E- Exponents

M- Multiplication

D- Division

A- Addition

S- Subtraction

So if you see in the Pemdas technique It will be C Multiplication.

Answer:

76.3

Step-by-step explanation:

Answer:

C = 75°

Step-by-step explanation:

The interior angles of a triangle will always add up to 180°, so all we have to do is find the missing variable.  

To do this, we first add up the two angles we do know.

—> 65 + 40 = 105      

Now that we have the total of the other two angles, simply subtract 105 from 180.

—> 180 - 105 = 75

We now have our answer!

Answer:

the graph is of a cubic function.

Step-by-step explanation:

f(x)= x^3. It should have at least one zero

The graph shows cubic polynomial.

A polynomial is an equation that solely uses the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are also known as indeterminates.

Given:

In the graph the number of times the graph touches the x- axis it will have that many zeroes or solution for the polynomial.

The given graph touches the x-axis three times which shows the polynomial will have three solution and the degree of the polynomial is 3.

Hence, the graph shows cubic polynomial.

Learn more about cubic polynomial here:

https://brainly.com/question/28081769

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Answer:

400 meters

Step-by-step explanation:

So it goes 20 meters every second. So you would multiply that by 20 seconds to get 400 meters.

Answer:

You have a rectangular pool 15 X 30 X 5 feet

The floor of the pool is 15X30 = 450 ft2

Two sides are 5X15 = 2(75) = 150 ft2

Two sides are 5X30 = 2(150) = 300 ft2

Total area to be painted: 900 ft2

(900 ft2)/(250 ft2/gal) = 3.6 gallons

Since we can't purchase .6 gallons we

must purchase 4 gallons of paint

The volume of the pool is 15X30X5 = 2250 ft3

1 ft3 = 7.48 gallons

2250(7.48) = 16,830 gallons of water

Answer:

Build more buildings

Step-by-step explanation:

Answer:

change by a tenth to hundredth to thousandth to the millionth

Step-by-step explanation:

Given:

There are 4 quarts in a gallon.

She wants to convert 6 quarts to a gallon.

To find:

Whether she should multiply 6 by 4 or divide 6 by 4 to find her answer.

Solution:

We have,

[tex]4\text{ quarts}=1\text{ gallon}[/tex]

[tex]1\text{ quarts}=\dfrac{1}{4}\text{ gallon}[/tex]

[tex]6\text{ quarts}=\dfrac{6}{4}\text{ gallon}[/tex]

Here, 6 quarts is equal to [tex]\dfrac{6}{4}[/tex] gallon. It means we need to multiply 6 by 4 in [tex]4\text{ quarts}=1\text{ gallon}[/tex] to find the answer.

Answer:

x= 13.5

Step-by-step explanation:

f(x) = 2x + 9

f(x) = 36

Set the 2 equations equal to each other;

2x + 9 = 36

Subtract 9 from both sides;

2x = 27

Divide both sides by 2;

x = 13.5

Check:

f(x) = 2x + 9

f(13.5) = 2(13.5) + 9= 27 + 9 = 36

Answer:

4n-n

Step-by-step explanation:

Answer:

y=2/3x+3

Step-by-step explanation:

First, you would use the point slope formula : y₂-y₁/x₂-x₁

(5--3)/(3--9)

=8/12

=2/3

Then you would plug it back into the equation along with one of the points. Ex:

-3=2/3(-9)+b

-3=-6+b

3=b

So in conclusion, the formula would come out to y=2/3x+3

Hope this helps! :)

Answer:

The total amount for 32 people is 15.36

Step-by-step explanation:

we know that for 25 people is $12 so we need to find how much it would be for one person. you would need to divide $12 / 25. from this you would get 0.48, so for one person it's 48 cents. next you're going to subtract 25 from 32, this leaves you with seven people who aren't in a group of 25. you then multiply 7 × this equals to 3.36, add 3.36 to $12 and you'll get your total 15.36.

The number line shows that Kailey could have graphed the point C (3.3).

The number line is the graphic representation of real numbers whose center is represented by the number zero (0). The negative numbers are on the left side of the number line, on the other hand, the positive numbers are written on the right side. See the attached image.

Opposite numbers are numbers that the distance to 0 is equal. The numbers are classified as the opposite when the sum between them is equal to zero (0).

Plot the number line with the given limits: -5 to 5. See the attached image.

Plot the points A, B,C an D in the number line drawn in step 1. See the attached image.

Like the point graphed is the opposite of -3.3, Kailey could have plotted the point C which is at 3.3 since the sum between -3.3 and 3.3 is equal to zero (0).  

-3.3+3.3 =0

Read more about opposite numbers here:

https://brainly.com/question/13114728

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Answer:

-n^3 – 5n + 4

Step-by-step explanation:

f(n) = -n^3 – 4

g(n) =  -n +4

f(n)+ g(n) = (-n^3 – 4n)+(-n +4)

               = (-n^3 – 4n -n +4)

               = -n^3 – 5n +4

Answer:

What are we supposed to simplify? 8/81?

Step-by-step explanation:

Answer:

(-1,-2, -3, -4)

Step-by-step explanation:

-15 < 3n <6

-15 < 3 (-1,-2, -3, -4) <6

3 • -1 = -3

3 • -2 = -6

3 • -3= - 9

3 • -4 = -12

so all these answer still make -15 the lowest value and 6 the highest value.

Answer:

8/3=48/x

Step-by-step explanation:

times both sides by 3 8=144/x

times x by both sides 8x=144

x=18

there are 18 techers

Answer:

3

Step-by-step explanation:

You need to multiple 3 by 3 because 3 has an exponent. That makes the 3 into a 9. the square root of 9 is 3 so the answer is 3