1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dimas [21]
3 years ago
14

The area of a rectangle is (x3 – 5x2 + 3x – 15), and the width of the rectangle is (x2 + 3). If area = length × width, what is t

he length of the rectangle? x + 5 x – 15 x + 15 x – 5
Mathematics
1 answer:
lisabon 2012 [21]3 years ago
4 0

Answer:

D

Step-by-step explanation:

The area of a rectangle is given by the formula:

A=lw

So, we are given that the area is:

x^3-5x^2+3x-15

And the width is:

x^2+3

And we want to find the length. To do so, first substitute the expressions into the equation:

x^3-5x^2+3x-15=(x^2+3)l

Thus, to find the length, divide by (x²+3):

l=\frac{x^3-5x^2+3x-15}{x^2+3}

So, factor the numerator:

x^3-5x^2+3x-15

From the first two terms, factor out a x^2.

From the third and fourth terms, factor out a 3:

=x^2(x-5)+3(x-5)

Combine:

=(x^2+3)(x-5)

Putting this back:

l=\frac{(x^2+3)(x-5)}{x^2+3}

Cancel:

l=x-5

And that's our answer :)

I believe it would be D.

You might be interested in
HELP WILL MARK BRAINLIEST IF GOTTEN RIGHT
Musya8 [376]

Answer:

B

Step-by-step explanation:

trust meh

4 0
2 years ago
Q)Use RLE to compress the following data in the image
kari74 [83]

Answer:

tfrrbtrgt

Step-by-step explanation:

8 0
3 years ago
A fish tank has 240240240 quarts of water. Levi adds another 120120120 quarts to the tank. How many gallons of water are in the
ArbitrLikvidat [17]

The 90 gallons of water is in the fish tank if the fish tank has 240 quarts of water. Levi adds another 120 quarts to the tank.

<h3>What is unit conversion?</h3>

It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, multiplication by a conversion factor.

We have a fish tank has 240 quarts of water.

Levi adds another, 1201 quarts to the tank.

Total water in the tank = 240 + 120 = 360 quartz

To convert quartz to gallon, divide by 4

Total water in the tank = 360/4 = 90 gallons

Thus, the 90 gallons of water is in the fish tank if the fish tank has 240 quarts of water. Levi adds another 120 quarts to the tank.

Learn more about the unit conversion here:

brainly.com/question/14350438

#SPJ1

5 0
2 years ago
9(m +5) - 3(m - 2) = 8m + 31
castortr0y [4]

Answer:

m=10

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
What is the answer to 7/8+4.2-4/5 equals what
natta225 [31]
So, first turn your fractions into decimals. ⅞ = 0.875 which rounded is 0.88. 4/5 = 0.8. Next, put the decimals into the equation to replace the fractions. 0.88 + 4.2 - 0.8. Next solve the problem. So 0.88 + 4.2 = 5.08. Now your equation should look like this 5.08 - 0.8. Then subtract 0.8 from 5.08 which gives you 4.28. So 4.28 is your answer.
7 0
3 years ago
Other questions:
  • Side MN = 6, side OM = 9, side PQ = 6, and side RP = 9. What side corresponds to side NO and can be used to show that ΔMNO ≅ ΔPQ
    13·2 answers
  • If your starting salary is $40,000 and you recieve a 3% increase at the end of every year, what is the total amount, in dollars,
    14·2 answers
  • Find the mean and median of these numbers 14, 3, 15, 4, 3, 11
    8·1 answer
  • Help me please help me helpm
    11·1 answer
  • Question 6 of 42
    14·2 answers
  • In a school there are 1500 boys and
    13·1 answer
  • Plz hurry
    7·1 answer
  • In the system of equations below, which variable would it be easiest to solve for?
    13·2 answers
  • Can you help me?
    10·1 answer
  • Find the rate of change of the linear function shown in the graph. Then find the initial value.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!