Simplify the rational expression below

Hey there!

the slope of the line is [tex]3[/tex]

Slope is [tex]\frac{rise}{run}[/tex], meaning that the slope is [tex]\frac{3}{1}[/tex] or [tex]3[/tex]

Hope it helps and have a great day!

Answer:

115 students have a bike.

Step-by-step explanation:

0.92 x 125 = 115

115 students have a bike

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

321

Step-by-step explanation:

2247÷7=321

Answer:

321

Step-by-step explanation:

Shown in picture attached.

Answer:

y=3

Step-by-step explanation:

y + 3 = - y + 9

y + y = 9 - 3

2y = 6

y = 6/2

y =3

Answer:

The answer is C.

Hope I helped!

Answer:

[tex]\%DVD = 14\%[/tex]

Step-by-step explanation:

Given

[tex]Population = 900[/tex]

[tex]Sample = 325[/tex] --- selected adults

[tex]Proportion = 45[/tex] --- those that prefer renting a movie

Required

Represent the proportion as a sample.

This is calculated as thus:

[tex]\%DVD = \frac{Proportion}{Sample} * 100\%[/tex]

[tex]\%DVD = \frac{45}{325} * 100\%[/tex]

[tex]\%DVD = \frac{45 * 100}{325}\%[/tex]

[tex]\%DVD = \frac{45 00}{325}\%[/tex]

[tex]\%DVD = 13.85\%[/tex]

[tex]\%DVD = 14\%[/tex] --- approximated

Answer and Step-by-step explanation:

Given Asin(wt + phi), we know that sin (A + B) = sinAcosB + sinBcosA. This means:

Asin(wt + phi) = Asin(wt)cos(phi) + Asin(phi)cos(wt).

Let Acos(phi) = c2 and Asin(phi) = c1 we have:

Asin(wt + phi) = c2sin(wt) + c1cos(wt)

Answer:

Step-by-step explanation:

In order to prove that Asin(ω⁢t+ϕ) equals c2sin ω⁢t+ c1cos ω⁢t we need use the sin (A+B) sum identity.

The sin sum identity is sin(A+B)= sinA × cosB + cosB × sinA

Now lets plug in our info.

Asin(ω⁢t+ϕ)= (sin wt × cosϕ) + (cos wt × sinϕ)

We know that Asin= c1 and Acos= c2.

Once we input c1 and c2 and solve, our end result becomes c2sin(wt)+c1cos(wt)​

Answer:

Step-by-step explanation:

oh boy

1) 9 < 16

2) -4 < 5

3) 18 > -19

4) -38 < -16

5) 6 > 4

6) -14 > -25

7) -45 > -55

8) -2 > -10

9) -4, -1, 1, 3, 6

10) -15, -13, -5, 8

11) -9, -6, -5, -1, 0

12) -4, -2, 1, 3

13) -10, -9, 7, 8, 11

14) -33, -25, -14, -4, 7

hope this helps <3

Answer:

we cant see the graph ... post again so we can help

Answer:

14 feet of fabric

Step-by-step explanation:

Answer:

x^5+5x^4+x^3

Step-by-step explanation:

distributive property

Answer:24

Hope the answers right

Answer:

I think one solution

Step-by-step explanation:

step by step

Answer:

a. Convert to improper fraction first:

-2⁴/₉ = -24/9

= -24/9 * 1/2 = -24/18 = -4/3

= -1¹/₃

b. -2/3 * 1/4 = -2/12

= -1/6

c. Convert to improper fraction:

= -1¹/₂ = -3/2

= -3/2 * -1/6

= 3/12

= 1/4

d. Convert to improper fraction:

= 2¹/₃ = 7/3

= 1/6 * 7/3

= 7/18

Answer: y=-3/4x

Step-by-step explanation:

The slope intercept form is when you use the equation y=mx+b (m is the slope and b is the y-intercept). First, let's find the y intercept. The y intercept is what y would be if x is 0. here, you can see that this particular line passes through the origin. So, the y-intercept is zero because when x passes through zero, y is also zero. Next, let's find the slope. The formula for slope is change in y/change in x. Let's randomly choose 2 points off this line. To make this a thousand times easier for us, let's choose the points (-4, 3) and (4, -3). Now, to find the change in y, let's find the difference between the 2 y coordinates we have chosen. To do this we just need to do -3-3, which gives us -6. Now let's find the change in x. To do this we will do the same thing we did to find the change in y but this time we'll use the x coordinates. We will do 4-(-4), which simplifies to 8. Now, we're almost done. Just divide the change in y by the change in x. You will get -6/8. This can be simplified to -3/4. So now we know our slope is -3/4 and our y-intercept is 0. Let's insert them into the equation. y=-3/4x+0. We know that we can just get rid of that 0 because 0 literally means nothing. So our final answer is y=-3/4x. Hope this helps!

Answer: 2.75(3) + 4x = 11.25

Step-by-step explanation:

It says each bag costs $2.75 and there are 3 bags so multiply those 2 and then subtract them from the total cost (11). What you get after you subtract is the total costs of the salsa so divide that by 4 to get the cost of each, in this case it doesn't ask so we leave it as 4x.

Answer:

1.5 goals

Step-by-step explanation:

12 divided by 8= 1.5

Answer:

Sale Price = $42 (answer). This means the cost of the item to you is $42. You will pay $42 for a item with original price of $56 when discounted 25%. In this example, if you buy an item at $56 with 25% discount, you will pay 56 - 14 = 42 dollars.

Step-by-step explanation:

Answer:

$42

Step-by-step explanation:

The original price is $56.

The discount is 25% off.

To solve the equation, turn 25 into a decimal. The you multiply it by 56.

25 to a decimal = 0.25

56 * 0.25 = 14

The answer is 14. That means the thing that is being bought is $14 off.

So, you have to subtract 56 and 14.

56 - 14 = 42

Answer:

4

Step-by-step explanation:

4² = 16

Equivalent expressions are expressions with equal values

The equivalent expression of 2(x-7)- 2(2x-5) is -2x -4

The expression is given as:

2(x-7)- 2(2x-5)

Open the bracket

2(x-7)- 2(2x-5) = 2x - 14  -4x + 10

Collect like terms

2(x-7)- 2(2x-5) = 2x -4x - 14 + 10

Evaluate the like terms

2(x-7)- 2(2x-5) = -2x -4

Hence, the equivalent expression of 2(x-7)- 2(2x-5) is -2x -4

Read more about equivalent expressions at:

https://brainly.com/question/2972832

Answer:

9.95%

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

f(11) = 9

Step-by-step explanation:

f(x) = 1/4(5-x)^2

f(x) = 1/4 (5-11) ^2

f(11) = 1.25 - 2.75 ^2

f(11) = 9

Answer:

Step-by-step explanation:

Given arithmetic sequence:

To determine the next term first find the common difference:

Add common difference to the last term to find the following term:

Next term is 6

9514 1404 393

Answer:

  1 17/33 hours, about 1.52 hours

Step-by-step explanation:

The distance between the trucks is increasing at the rate of 60+39 = 99 miles each hour. Then the time to get to a separation distance of 150 miles is ...

  (150 mi)/(99 mi/h) = (150/99) h = 1 17/33 h

The trucks will be 150 miles apart after ...

  1 17/33 hours, about 1 hour 30 min 55 seconds.

Answer:

a = 4.8

Step-by-step explanation:

9 - 4a + 12 = 6a - 27

21 - 4a = 6a - 27

48 - 4a = 6a

48 = 10a

4.8 = a

Answer:

I would say $372.97 is the answer

Step-by-step explanation:

Answer:

1 Cup

Step-by-step explanation:

A quart is 4 cups

Answer:

The answer is one.

Step-by-step explanation:

There are four cups in a quart, so this means that in 1 cup there is [tex]\frac14[/tex] quart.

Answer:

20% were MC

Step-by-step explanation:

Divide number of Mariah Carey songs by total songs.

Total songs = 16 + 4 = 20

4/20 = 0.2

Multiply by 100 to get percent:

0.2 x 100 = 20%

The answer is 20%