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
Zepler [3.9K]
1 year ago
15

(PLESE HELP) Factor the following expression. Simplify your answer.

Mathematics
1 answer:
mars1129 [50]1 year ago
8 0

The factor of the expression 5p(p + 2)^{\frac{2}{3} }  + 4(p + 2)^{\frac{1}{3} } is(p + 2)^{\frac{2}{3} } (5p^{3}  + 10p^{2}  + 20p + 4)

To answer the question, we need to know what factorization is

<h3>What is factorization?</h3>

Factorization is the process of breaking down an expressing into a simpler form containing its factors.

Since

5p(p + 2)^{\frac{2}{3} }  + 4(p + 2)^{\frac{1}{3} }

Since (p + 2)^{\frac{1}{3} } is common, we factor it out. So, we have

(p + 2)^{\frac{2}{3} } (5p(p + 2)^{2}  + 4)

Expanding the bracket, we have

(p + 2)^{\frac{2}{3} } (5p(p^{2}  + 2p + 4) + 4) = (p + 2)^{\frac{2}{3} } (5p^{3}  + 10p^{2}  + 20p + 4)

So, the factor of the expression 5p(p + 2)^{\frac{2}{3} }  + 4(p + 2)^{\frac{1}{3} } is(p + 2)^{\frac{2}{3} } (5p^{3}  + 10p^{2}  + 20p + 4)

Learn more about factorization here:

brainly.com/question/11579257

#SPJ1

You might be interested in
3 more than the quotient of a number and 8 is 27.
worty [1.4K]
(x/8) + 3 = 27 <===ur equation
6 0
3 years ago
A spirit shop outside the hockey stadium sells merchandise representing the three school districts that built the arena. The ent
Leokris [45]

The statue should be located at point E. Point E is the center of the circumscribed circle of the triangle created by the entrances to the arena, the spirit shop, and the parking lot. The distance from the statue to each vertex will then be equal to the radius of the circumscribed circle, so the statue will be at the same distance from all three landmarks.

5 0
3 years ago
Samuel bought a cement mixer for $54,205. The value of the cement mixer depreciated at a constant rate per year. The table shows
Paul [167]

The value of cement mixer after t year is f(t) = 54,205(0. 87)^{t}

Given to us

The value of cement mixer when bought, P= $ 54,205

the value of cement mixer after 1 year, P_1=   $ 47,158. 35

the value of cement mixer after 2 year,P_2=  $ 41,027. 76

To find out depreciation we can use the formula for depreciation,

P_n= P(1-r)^n\\where,\\P_n= Value\ of\ asset\ after\ n\ year\\P= Value\ of\ asset\ when\ bought\\r= rate\ of\ depreciation\\n= number\ of\ years

By putting the value, in the formula we get,

P_1= P(1-r)^n\\\\47,158.35= 54,205\times (1-r)^1\\\\\dfrac{47,158.35}{54,205} = (1-r)\\\\0.87=1-r\\\\r=0.13

Therefore, putting the value of r and P in depreciation formula for t years we get,

P_n= P(1-r)^n

f(t) = 54,205(0. 87)^{t}

Hence, the value of cement mixer after t year is f(t) = 54,205(0. 87)^{t}.

To know more visit:

brainly.com/question/3023490

8 0
2 years ago
Solve it PLEASE c − 9.5 ≤ 9.5
vodka [1.7K]
C - 9.5 ≤ 9.5 + 9.5 ≤ + 9.5 C ≤ 19.0
8 0
3 years ago
Caroline's hair is
Ipatiy [6.2K]

The inequality can be used to determine how many months will it take for Caroline's hair to be at least as long as Trinity's hair is (1/5)x + 7 ≥ (1/10)x + 10

<h3>What is an equation? </h3>

An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.

Let x represent the number of months.

For Caroline's hair:

Length = (1/5)x + 7

For Trinity's hair:

Length = (1/10)x + 10

For Caroline's hair to be at least as long as Trinity's hair, hence:

(1/5)x + 7 ≥ (1/10)x + 10

The inequality can be used to determine how many months will it take for Caroline's hair to be at least as long as Trinity's hair is (1/5)x + 7 ≥ (1/10)x + 10

Find out more on equation at: brainly.com/question/2972832

#SPJ1

8 0
1 year ago
Other questions:
  • Starting with the formula for the difference of cubes, which pair of steps can be used to show that the expressions are
    9·1 answer
  • Assemble the proof by dragging tiles to the statements and reasons columns
    8·2 answers
  • How do you know if a quadrilateral is a parallelogram?
    12·2 answers
  • He access code for a​ car's security system consists of four digits. the first digit cannot be 8 and the last digit must be even
    5·1 answer
  • What are three sets of relatively prime numbers
    13·2 answers
  • A city has two water towers. One tower holds 7.35 x 10 with an exponent of 5, gallons of water and the other tower holds 9.78x 1
    5·2 answers
  • Where does the graph of the linear equation, y = x - 3, cross the y-axis
    9·2 answers
  • What is the value of b
    5·1 answer
  • 50 points
    12·1 answer
  • Which of the following best describes the slope of the line below?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!