The volume of a rectangular prism is
represented by the expression x3 + 5x2 - 8x -
48 If the length is (x – 3) and the height and
width are equal, what is the width of the prism?
(x + 4)
(x-4)
(x - 2)
(x + 2)
plsss hurry

Answers

Answer 1

Answer:

[tex]x+4[/tex]

Step-by-step explanation:

This question is essentially asking: [tex]p(x)^2*(x-3)=x^3+5x^2-8x-48[/tex]. Find [tex]p(x)[/tex].

The left hand side can be factored into [tex](x-3)(x+4)^2[/tex] by the rational root theorem and polynomial division.

We can then divide both sides of the equation to get [tex]p(x)^2=(x+4)^2[/tex].

Finally, we take the square root of both sides to obtain [tex]p(x)=x+4[/tex].

So, the answer is [tex]\boxed{x+4}[/tex]


Related Questions

What is the area of trapezoid ABCD? Enter your answer as a decimal or whole number in the box. Do not round at any steps. units² Trapezoid A B C D on a coordinate plane with vertex A at negative 1 comma 5, vertex B at 3 comma 2, vertex C at 0 comma negative 2, and vertex D at negative 13 comma negative 11. Angle A is shown to be a right angle.

Answers

Answer:

62.5 units squared.

Step-by-step explanation:

Find the Measure of The missing angles

Answers

Answer:

∆K = 98°

∆M = 82°

∆G = 118°

∆H = 62°

Step-by-step explanation:

∆K & ∆G is by corresponding angle

and

∆M & ∆H is by linear pairs

a) 16 / (-4)
b) (-56) / 8
c) (-28) / (-2)

Answers

Whats the question?
Or is that the question?

Twelve dogs and cats receive 77 biscuits.

A dog receives 7 biscuits,one biscuit more than a cat.

How many dogs were there?

Answers

Answer:

6 dogs are there who ate the biscuits

5 dogs
7 cats 6 biscuits each they eat 42 biscuits
5 dogs 7 biscuits each will eat 35 biscuits
42 + 35 = 77
Hope this helps

36 workers can complete a piece of work in 12 days how many workers should be removed to complete the same work in 24 days


please explain step by step​

Answers

his answer is going to have to be 19393939 because i like men
18. They multiplied the amount of days by 2, so you divide the amount of workers by 2. This is reverse/opposite operations. I hope this helps :)

NEED FULL EXPLANATION!!

A COIN IS TOSSED 5 TIMES.
FIND THE PROBABILITY OF GETTING AT LEAST 1 TAILED

Answers

Answer:

Step-by-step explanation:

This is a typical probability question where there is a large number of possible outcomes to be considered.

That suggests an approach where we look at the probability of it not occurring.

For that to happen, we have to have 5 coins all landing heads up. The probability of that happening is (1/2)5=1/32.

From this,  we can deduce the probability of that not happening (i.e. there being at least one tail) is  1−1/32=31/32.

Check all solutions to the equation. If there are no solutions, check 'None."
x2=-4

Answers

Answer:

-2 is the only answer

Step-by-step explanation:

You know the answer can't be a positive number because a positive multiplied by a positive is a positive number. It is not 0 because 0 X anything is 0. -16 x 16 is way to high. But, -2 x 2 = -4

There are no real solutions

Option F is correct.

What is an imaginary number?

An imaginary number is a number that, when squared, has a negative result. Essentially, an imaginary number is the square root of a negative number and does not have a tangible value.

Given equation

[tex]x^{2} =-4[/tex]

Apply square root on both sides of the equation

[tex]\sqrt{x^{2} } =\sqrt{-4}[/tex]

[tex]x=2i[/tex]

2i is imaginary number.

There are no real solutions

Hence, Option F is correct.

Find out more information about imaginary solution here

https://brainly.com/question/12671542

#SPJ2

solve -2 1/3 - (-5)


ANSWER PLZ

Answers

Answer:

Step-by-step explanation:

2.6666666667

Convert 14 3/5% to a fraction in lowest terms.

Answers

Answer:

13l4 3/5%

Step-by-step explanation:

ithink that is the answer

If y varies directly as x and as the square of z, and y =25/9 when x=5 and z=1, find y when x =1 and z=4

Answers

Answer:

y= 80/9

Step-by-step explanation:

Given

" y varies directly as x" and "as the square of z" so y = x* z²* some number

if y =25/9 when x= 5, z= 1 and y = x*z²* some number

then 25/9  = 5 * 1² * some number

      5*(5/9) = 5 * some number

therefore y = x* z²* (5/9)

y= ? when x=1 , z= 4

y = x * z² * (5/9)

y = 1 * 4² * (5/9)

y = 16*5 / 9

y = 80/9

You are really excited to have found a Puch Maxi Moped from the mid Eighties, and the spring weather is making you want to get out and ride it around. It doesn't run on straight gasoline, you have to mix the oil and gas together in a specific ratio of 2.4 fl. oz. of oil for every gallon of gasoline.
You have 3.75 gallon of gas. How much oil should you add?

Answers

Answer:

Step-by-step explanation:

You should add 9 fl. oz. of oil to your 3.75 gallons of gas.

Puch Maxi Moped from the mid-Eighties now since this moped doesn't run on straight gasoline, you need to create a special fuel mixture. This involves combining oil and gas in a specific ratio. The magic ratio here is 2.4 fl. oz. (fluid ounces) of oil for every gallon of gasoline.

You mentioned you've got 3.75 gallons of gas. To figure out how much oil you need, we can use some math. First, let's find out how much oil is required for one gallon of gas:

2.4 fl. oz. of oil/gallon x 1 gallon = 2.4 fl. oz. of oil.

So, for 3.75 gallons of gas, you'll need:

2.4 fl. oz. of oil/gallon x 3.75 gallons = 9 fl. oz. of oil.

You should add 9 fluid ounces of oil to your 3.75 gallons of gas to create the proper fuel mixture for your Puch Maxi Moped.

To know more about Ratio here

https://brainly.com/question/31299198

#SPJ3

What would the answer be image below

Answers

Answer:

The points would be: (-3, 3) (-4, -1) (2, -1) (1, 3)

Step-by-step explanation:

Because when you move 4 units left, all of the x values in the points will go down by 4, and when you move 2 units down, the y values will go down by 2 units. So when applied to the points shown, you get the answer I put.

I believe this is correct? Hope it helps!

Find the equations of remaining two sides of an equilateral triangle with vertex (1,3) and base y=0. 

help me to solve​

Answers

Step-by-step explanation:

Hi,,I can help you with your assignments

Help QUICK!!!!!!!!

At a pet store they are selling rabbits for $16.75 each. You have a coupon for $5.00 your total purphase. If you buy 3 rabbits, how much would your total be?

A. $35.25
B. $40.25
C. $45.25
D. $48.25

Answers

Answer:

45.25

Step-by-step explanation:

A bridge connecting two cities separated by a lake has a length of 3.961 mi.
Use the table of facts to find the length of the bridge in yards.
Round your answer to the nearest tenth.
Conversion facts for length
12 inches (in) = 1 foot (ft)
3 feet (ft) = 1 yard (yd)
36 inches (in) = 1 yard (yd)
5280 feet (ft) = 1 mile (mi)
1760 yards (yd) = 1 mile (mi)
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Answers

The answer is about 7000 yards

What is the slope from a graph:​

Answers

Answer: -4 is your rise and 3 is your run

Step-by-step explanation:

you can get the slope from using y2-y1/x2-x1 or just counting

-4 and 4 run download the store to you and you get your order number for you and you are not answering the call and

Jake made punch by combining 2.75 liters of orange juice, 1.25 liters of pineapple juice, and 3.5 liters of soda. He then poured equal amounts of all the punch into 3 different containers. How much punch did Jake pour into each container?

Answers

Answer:

He poured 2.5 liters into each container

Step-by-step explanation:

Add 2.75, 1.25, and 3.5 together to get 7.5. Divide 7.5 by 3 and you get 2.5 liters per container.

Jose pays $25 an hour for a tutor. Which expression represents the total cost of a tutor for the afternoon?

Question 6 options:

25h

25 ÷ h

h25

h + 25

Answers

Answer:

25h

I hope this helps :)

It’s a I think I’m not sure sorry if it’s wrong

What are the values of x and y?

(9x - 19y)
(5x - 17)
(3x + 3)º
X =

y =

Answers

Answer: x = 10 and y = 3

Step-by-step explanation:

Due to the x rule, (5x - 17) = (3x + 3)

If we add 17 to both sides:

5x = 3x + 20

Take away 3x from both sides

2x = 20

Divide by 2:

X = 10

This means that (5x - 17) = (3x + 3) = 33

Since all angles must add to 360, the top angle = (360- (33*2)) /2

(360-66) /2

294 /2

147

This shows that 9x - 19y = 147

90 - 19y = 147

Minus 90 both sides

19y = 57

Y = 3

So, x = 10 and y = 3

When I multiply, $23.84 x $0.47 I got $11.2048 so what is that 49? What do I do with it? Also is my decimal placing right?

Answers

Answer:

Hi, the answer would be $11.21 after rounding.

Step-by-step explanation:

I see what you mean about the 49, but remember that when writing a price you only have two spots after the decimal. Yes, your decimal placing is correct!

So, after rounding and multiplying correctly you would get about $11.21

Hope this helps!!

Pls help me i need it

Answers

The answer is 4! 40,000km

What is the value of x? show all your work​

Answers

Answer:

x or AB = 9

Step-by-step explanation:

Use Pythagorean Theorem to solve for missing side.

Pythagorean Theorem: a² + b² = c²

Plug our sides in to get AB² + BC² = AC²

We are solving for AB so we arrange the equation to get:

AB² = AC² - BC²

Solve for AB:

AB² = (√117)² - (6)²

AB² = 81

AB = 9

x or AB = 9

A correlation of r = 0.35 is?
moderate and positive
strong and positive
weak and positive

Answers

Answer:

r = 0.35 is Moderate and positive

Step-by-step explanation:

A correlation of r = 0.35 represents a moderate and positive relationship between two variables.

Polynomials

Multiply 5x(x2 - 4x + 2)

Answers

Answer:

Assuming "x2" is x squared:

5x(x2-4x+2)

(5x(x2)+5x(-4x)+5x(2))

5x^3-20x+10x

For these polynomial multiplication problems, just distribute the number outside the parentheses.

Answer:

[tex]5x^3-20x^2+10x[/tex]

165÷11
I'm not sure sure I had got R15

Answers

Answer:

165/11= 15

Step-by-step explanation:

I used a calculator

a bakery worker ordered 3,000 eggs when only 300 eggs were needed. Which explains how many more eggs were ordered than were needed?

Answers

Answer:

2700 more eggs were ordered

Tell me pls but pls no files

Answers

Answer:

I think its A

Step-by-step explanation:

Four students are training for their cross country team at school. They were told to run for as long as they could without stopping. The coach measured their total distances and their overall time. Calculate the average speed for each student and find the two students who tied for the same average speed.


A) Brev and Chris

B) Brev and leslie

C) Chris and Dylan

D) Dylan and Leslie

Answers

Answer:

C) Chris and Dylan

Step-by-step explanation:

Whoever answers I’ll mark brainliest

Answers

Answer:

Right Triangle.

Step-by-step explanation:

A right triangle always has a 90 degree angle.

Answer:Right angle

Step-by-step explanation:the box down there signals its a 90 degree angle

5. What is the value of y in the solution to the systems of linear equations shown below?
12x + 6y + 7z= -35
7x- 5y - 6z= 200
x+y= -10

Answers

Answer:

x=[tex]\frac{60}{121}[/tex],z=[tex]\frac{535}{121}[/tex],y=-10

Step-by-step explanation:

Answer:

[tex]1) \: \: 12x + 6y + 7z = - 35 \\ 6y = - 35 - 12x + 7z \\ y = \frac{ - 35 - 12x + 7z}{6} \\ \\ 2) \: \: 7x - 5y - 6z = 200 \\ - 5y = 200 - 7x + 6z \\ y = \frac{200 - 7x + 6z}{ - 5} \\ \\ 3) \: \: x + y = - 10 \\ y = - 10 - x \\ [/tex]

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