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

Simplify. Consider all cases: /(x-4)+7/

Answers

Answer:

the correct answer is x+3

What information does a supply schedule provide?
A. It shows supply for different products at different prices.
B. It shows the supply for a product at a single price point.
C. It shows the supply for a product at various prices.

Answers

C. It shows the supply for a product at various prices.

Hope it helps. Give me brainliest please

Answer:

c

Step-by-step explanation:

your closet floor is 90 inches wide and 3 times as long what is the perimeter and area of your closet floor​

Answers

Answer: 270

Step-by-step explanation:

90x3=270

Answer:

I mean

Step-by-step explanation:

Just multiply 90 by 3 since it says that it's THREE times as long. Btw you would get 270! So this should help! Well I guess you have to add another 90 to get the area of the closet. Don't quote me on that.

A​ 12-sided die is rolled. The set of equally likely outcomes is {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} . Find the probability of rolling a number greater than 18.

Answers

Answer:

the probablity of rolling a number greater than 18 is 0

Step-by-step explanation:

mark me as brainliest

Answer:

The probability is 0 since there is no outcome that gives him a role greater than 18

Please mark as braniest if this is what you are looking for

How many small cubes are needed to make the large figure shown below?
Key
represents
1 small
cube
9
15
18
21

Answers

Answer:

Step-by-step explanation:

Which vector below goes from (0,0) to (2,2)?

A. c

B. a

C. b

D. d

Answers

Answer:

i say it's A.c

I hope it helped

NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Suppose that one person in 10,000 people has a rare genetic disease. There is an excellent test for the disease; 99.6% of people with the disease test positive and only 0.05% who do not have the disease test positive. What is the probability that someone who tests positive has the genetic disease

Answers

Answer:

The probability that someone who tests positive has the genetic disease is approximately 0.166 or 16.6% who tests positive actually has the disease

Step-by-step explanation:

The number of persons in 10,000 people that have the disease = One

The percentage of people with the disease that test positive = 99.6%

The percentage of people who do not have the disease test positive = 0.05%

The probability that someone who tests positive has the genetic disease

[tex]P(disease | positive) = \dfrac{P(disease) \cdot P(positive | disease)}{P(disease) \cdot P(positive | disease) + P(nodisease) \cdot P(positive | nodisease)}[/tex]

P(disease) = 0.01% = 0.0001

P(positive disease)  = 99.6% = 0.996

P(nodisease) = (10,000,000 - 100)/10,000,000 = 99.99% = 0.9999

P(positivenodisease) = 0.05% = 0.0005

Whereby 10,000,000 people are tested, 1000 out of the 1,000,000 will have the disease, 1,000 - 0.996 × 1000 = 4 people out of the 1,000 will test negative while 996 will test positive. From the 9,999,000 people who do not have the disease, 9,999,000 × 0.0005 = 4999.5 will give positive test results.

Therefore, the total number of people that tests positive = 4,999.5 + 996 = 5,995.5

Therefore, out of the 5,995.5 that test positive for the disease, 996 will test positive

The probability that someone who tests positive has the genetic disease, P(disease positive) = 996/5,995.5 ≈ 0.166 or 16.6%

Therefore, approximately 16.6% of the people that test positive for the disease actually has the disease

We have;

[tex]P(disease | positive) = \dfrac{0.0001 \times 0.996}{0.0001 \times 0.996 + 0.9999 \times 0.0005} = 0.16612459344[/tex]

Chose all of the terms that describe the set of lines.
Intersecting lines
. Parallel lines
Transversal
Perpendicular lines

Answers

Intersecting lines. They intersect, so they are not parallel. Because there isn’t a line intersecting a set of parallel lines, it’s not a transversal. And because the intersecting lines don’t create right angles, they are not perpendicular.

giving brainliest *easy*

Answers

Answer:

1130.4

Step-by-step explanation:

2x100pi + 160pi

Kaya made the graph of the linear system x+y=1
2x-3y= - 18
What is the solution to the linear system?​

Answers

Answer:x-interpect: -9

y-intercept=6

slope=2/3

Step-by-step explanation:

He answered Alrdy correctly I’ll just take some points

The sampling distribution for the ANOVA test is
a. the Z distribution.
b. the t distribution.
c. the F distribution.
d. None of the answer choices

Answers

Answer:

The F distribution

2) Eileen wants to borrow $40,000 to buy a new car. I She is willing to make monthly payments for 5 years. The Metro Bank offers her a loan of $40,000 for five years; the rate of interest is 6% compounded monthly. If Eileen chooses to borrow the money,
a) how much total interest will she pay?
b) how much simple interest will she pay?
c) how much compound interest will she pay?

Answers

Answer:

BLM

Step-by-step explanation:

A) 120
B) 125
C) 50
D) 100

Answers

180-80 is 100 answe is 100D
Same sides together make 180

help pls What is the measure of ∠x
Angles are not necessarily drawn to scale. Given the following:

Answers

Answer: 31

Step-by-step explanation:

assuming lines DE and FG are parallel, <jcg and <DAL are alternate exterior angles, so they are congruent.

<DAK is 90

so the measure of <x=90-59

x=31

PLEASE HELP FAST!!!!




The area of the rubber coating for a flat roof is 96 square feet. The
rectangular frame the carpenter built for the flat roof has dimensions such
that the length is 4 feet longer than the width. What are the dimensions
of the frame?


Answers

Answer:

width is 8, length is 12

Step-by-step explanation:

l = w+4

l x w= 96

4+w x w = 96

w^2 +4w -96 = 0

w+12 W -8

w = 8

The dimensions of the frame are 8 feet in width, 12 feet in length.

Calculations and Parameters

Given the data:

[tex]l = w+4\\l * w= 96\\4+w * w = 96\\w^2 +4w -96 = 0\\w+12 W -8\\w = 8[/tex]

Therefore, the dimensions of the frame are 8 feet in width, 12 feet in length.

Read more about length and breadth here:

https://brainly.com/question/26759758

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Express log6 (15) in terms of common logarithms *no file answers*

Answers

I think the answer is C



Lmk if it right

Solve for v
11v + -15v = 8
V=

Answers

Answer:

Step-by-step explanation:

Solution= V=0

Answer:

[tex] \bf \huge2[/tex]

Step-by-step explanation:

Given :

11v + -15v = 8

to find :

solve for v

explanation :

step 1 : Simplify both sides of the equation.

⟼ 11v + -15v = 8

⟼ 11v - 15v = 8

⟼ - 4v = 8

step 2 : Divide both sides by - 4.

⟼ - 4v / - 4 = 8 / - 4

⟼ v = - 1 × - 2

⟼ v = - 2.

v = 2.

Does this represent a function? Why or why not *explain*

Answers

Yes, everyone has their own input and output

HELP ASAP ILL GIVE BRAINLESS PLEASE HELP
Question 16 (Fill-In-The-Blank Worth 1 points)
(07.04 LC)
The solution to 15x = 30 is x=_- (Only input the number.)
Numerical Answers Expected!
Answer for Blank 1.

Answers

Answer:

X = 2

Step-by-step explanation:

15X = 30

so

X = 30/15

X = 2

Answer:

The correct answer is x=2, so enter a "2" in the box. Hope this helps!

which one is bigger ₃₄₅ 1

Answers

Answer:

1 is bigger

Step-by-step explanation:

What is the radian measure of an angle of 75º?

Answers

The second answer is correct.

Calculate the standard deviation of X for the probability distribution. (Round your answer to two decimal places.)
x 0 1 2 3
P(X = x) 0.1 0.5 0.1 0.3

Answers

Answer:

The standard deviation of the probability distribution is 1.02.

Step-by-step explanation:

Standard deviation of the distribution:

Square root of the sum of the difference squared between each value and the mean multiplied by its probability.

Mean:

Each value multiplied by its probability. So

[tex]E(X) = 0*0.1 +1*0.5 + 2*0.1 + 3*0.3 = 1.6[/tex]

Standard deviation:

[tex]\sqrt{V(X)} = \sqrt{0.1*(0-1.6)^2 + 0.5*(1-1.6)^2 + 0.1*(2-1.6)^2 + 0.3*(3-1.6)^2} = 1.02[/tex]

The standard deviation of the probability distribution is 1.02.


You roll a pair of six-sided number cubes, numbered 1 through 6. What is the probability of rolling two odd numbers? (Enter your probability as a fraction

Answers

Answer:

1/4 or 25%

Step-by-step explanation:

The probability for rolling an odd number is 50% or  [tex]\frac{1}{2}[/tex] because there are 3 odd numbers, (1, 3, 5) and 6 total outcomes (1, 2, 3, 4, 5, 6). [tex]\frac{3}{6} =\frac{1}{2}[/tex]

The probability for rolling two odd numbers in a row is

[tex]\frac{1}{2} *\frac{1}{2} =\frac{1}{4}[/tex]

So, the probability of rolling an odd number twice is 25% or  [tex]\frac{1}{4}[/tex].

what is the answer to
2 1/2 x 1 2/5

Answers

Answer:

3.5

Step-by-step explanation:

Answer:

3 1/2 3.5 as a decimal

Step-by-step explanation:

A figure is shown.
4 cm
7 cm
10 cm
2 cm
3 cm
6 cm
Which expression shows how to find the area of the figure?

Answers

Answer:

Then it is just a matter of plugging in the values into the formula. For example, if one base is 6 cm long, the other is 10 cm long and the height is 4 cm, the area is then (6 + 10) / 2 x 4 = 16 / 2 x 4 = 8 x 4 = 32 cm 2 (32 square centimeters).

Step-by-step explanation:

To the nearest tenth of a centimeter what is the length of side ab

Answers

The length of side AB in the given triangle is 22.6. The correct option is the first option 22.6

Calculating the side length of a triangle

From the question, we are to determine the length of side AB in the given triangle.

Using the law of sines, we can write that

AB/sinC = BC/sinA

From the diagram,

C = 50°

BC = 19

A = 40°

Thus,

AB/sin50° = 19/sin40°

AB = (19 × sin50°) / sin40°

AB = 22.6433

AB ≈ 22.6

Hence, the length is 22.6

Learn more on Calculating the length of a side of a triangle here: https://brainly.com/question/24138896

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Kalani has these monthly liabilities: rent $879, car payment $315, credit card payment $102. She has an annual
income of $96,448. What is her debt-to-Income ratio, expressed as a percent?

Answers

Answer:

1.34%

Step-by-step explanation:

Given data

Rent =$879

Car payment =$315

Credit card payment= $102

Annual Income= $96,448

In all the  debt  is

=879+315+102

=$1296

Hence the debt to  income ratio is

=1296/96,448

=0.0134

As percent

=0.0134*100

=1.34%

A rectangle has sides that are 7 2/5 inches wide and 11 2/3 inches long what is the perimeter of the rectangle

A.36 1/2
B. 36 5/15
C. 37 5/6
D.38 1/2

Answers

Answer:

[tex]38 |5| [/tex]

b is the answer

find x

help please, asap.

Answers

Answer:

X=58 degrees

Step-by-step explanation:

So We can start by finding the angle thats supplementary to 109.

Well 109 and another unknown angle (which will be Y for this scenario) would form a straight line which is 180 degrees.

109+y=180

Solve that by isolating the y and you would get 71 as the missing side.

Now we have 2 sides, 71 and 51. We’re trying to find x or the angle vertical to the thrid interior angle of the triangle.

Vertical is basically equal so we really just gotta find the third side. A triangle is equal to 180 degrees and if you add em up.

71+51+x=180

Combine like terms

122+x=180

Isolate the X

x=58

So x is 58 degrees.

Answer:

x = 180 - 51 - 71 = 58°

Grandma Sands must've seen The Wizard of Oz a million times..." is an example of... *
hyperbole
metaphor
personification
alliteration???

Answers

Answer:

okay maybe try alliteration...

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