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
Aliun [14]
3 years ago
8

Simply 2p(p+2)-3p(2p-3) =

Mathematics
1 answer:
nadezda [96]3 years ago
4 0

Answer:

p (13 - 4 p)

Step-by-step explanation:

Simplify the following:

2 p (p + 2) - 3 p (2 p - 3)

Hint: | Pull a common factor out of 2 p (p + 2) - 3 p (2 p - 3).

Factor p out of 2 p (p + 2) - 3 p (2 p - 3), resulting in p (2 (p + 2) - 3 (2 p - 3)):

p (2 (p + 2) - 3 (2 p - 3))

Hint: | Distribute 2 over p + 2.

2 (p + 2) = 2 p + 4:

p (2 p + 4 - 3 (2 p - 3))

Hint: | Distribute -3 over 2 p - 3.

-3 (2 p - 3) = 9 - 6 p:

p (2 p + 9 - 6 p + 4)

Hint: | Group like terms in 2 p - 6 p + 4 + 9.

Grouping like terms, 2 p - 6 p + 4 + 9 = (4 + 9) + (2 p - 6 p):

p (4 + 9) + (2 p - 6 p)

Hint: | Combine like terms in 2 p - 6 p.

2 p - 6 p = -4 p:

p (-4 p + (4 + 9))

Hint: | Evaluate 4 + 9.

4 + 9 = 13:

Answer: p (13 - 4 p)

You might be interested in
You would like to make a nutritious meal of eggs, edamame, and elbow macaroni. The meal should provide at least 40 g of carbohyd
arsen [322]

Answer:

2x + 12y + 43 ≥ 40

17x + 12y + 8z ≥ 20

14x + 6y + z ≤ 50

x ≥ 0

y ≥ 0

z ≥ 0

Step-by-step explanation:

given:

Cost Eggs = $2

Cost of edema = $5

cost of  elbow Macaroni = $3

Lets eggs = x,

edamame = y

elbow macaroni = z

TC = 2x+5y+3z

Therefore;

2x + 12y + 43 ≥ 40

17x + 12y + 8z ≥ 20

14x + 6y + z ≤ 50

x ≥ 0

y ≥ 0

z ≥ 0

the first objective is to make sure the total cost is subject to the required nutritional requirements.

So the total cost function (TC) is denoted by the number of servings multiplied for each costs. Eggs cost $2, edamame $5, and macaroni $3.

The problem subjects that each meal contains at least 40g of carbohydrates (this is the condition).

to get this we need to add what each meal component adds to the total, eggs add 2g of carbs, edamame 12g, and macaroni 43g.

Same should be done for protein, we require at least 20 grams of protein,  Eggs add 17g, edamame adds 12g, and macaroni adds 8g.

and lastly we don't want more than 50 grams of fat,  Eggs add 14g, edamame add 6g and macaroni 1g.

4 0
3 years ago
If copies of all your computer data are stored on four independent hard disk​ drives, what is the probability that during a​ yea
Natasha2012 [34]

Answer:

P(Atleast\ 1) = 0.9999992

Step-by-step explanation:

Given

p = 3\% --- rate of hard disk drives failure

n = 4 --- number of hard disk drives

<em>See comment for complete question</em>

Required

P(Atleast\ 1)

First, calculate the probability that the none of the 4 selected is working;

P(none) = p^4

P(none) = (3\%)^4

P(none) = (0.03)^4

Using the complement rule, the probability that at least 1 is working is:

P(Atleast\ 1) = 1 - P(none)

This gives:

P(Atleast\ 1) = 1 - 0.03^4

P(Atleast\ 1) = 0.9999992

5 0
3 years ago
What is the answer to 5^3 × 25 = ?
Zolol [24]

Hey there!

Answer:\boxed{3125}

Explanation:

5^3*25

5^3=125

125*25=3125

\boxed{3125}\text{ is the answer.}

Hope this helps!

\text{-TestedHyperr}

5 0
3 years ago
Help me please !!!! Thank you
denis23 [38]
Niiether do iiiiii. djd
5 0
3 years ago
What’s the difference between a factor and a multiple
olga nikolaevna [1]

Difference Between Factors and Multiples. A factor is a number that leaves no remainder behind after it divides the specific number.

6 0
3 years ago
Read 2 more answers
Other questions:
  • A rectangle is sometimes a quadrilateral
    5·1 answer
  • What is the correct answer ? Explain please !!
    10·1 answer
  • Find the factor pairs of 46 and 76
    12·1 answer
  • PLEASE HELP!! Anyone??
    14·1 answer
  • Circle the two equations that represent the linear function graphed below.
    10·1 answer
  • Shannon drank 1/5 cup of milk<br> and 3/4 cup of water. How much<br> did she drink altogether?
    5·1 answer
  • Which of the following inequalities matches the graph? ​
    5·1 answer
  • PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU B
    5·1 answer
  • What Ordered pairs would you proud to show the puppies weigh on a coordinate grid? How do you think the ordered pairs would be d
    13·2 answers
  • △ABC has vertices A(-2, 0), B(0,8), and C(4,2) Find the equations of the three altitudes of △ABC
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!