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QveST [7]
3 years ago
7

Factor the polynomial: – x3 - 4x2 - 5x

Mathematics
1 answer:
Alinara [238K]3 years ago
3 0

Answer:

-x3-4x2-5x=-x(x^2+4x+5)

Step-by-step explanation:

we are given the polynomial as

-x3-4x2-5x

here we can see that the GCF of -x^3 , -4x^2 and -5x is

-x

Hence we take it outside the bracket

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

The polynomial within the bracket x^2+4x+5 can not be factorized further , hence this would be our final answer.

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Mr. Nordman gets a commission of $2.30 on each pair of women's shoes he sells, and a commission of $3 on each pair of men's shoe
Alina [70]

Answer:

x ≥ 5

y ≥ 10

3x + 2.3y ≥ 60

Step-by-step explanation:

Lets the number of men's shoes he sells be x and women's shoes be y.

For each men's shoes , he gets a commission of $3 and for each women's shoe, he gets a commission of $2.30 .

He needs to sell atleast 10 women's shoes and 5 men's shoes.

Also he needs to make atleast $60 per week.

x ≥ 5

y ≥ 10

3x + 2.3y ≥ 60

These are are the 3 required inequalities.

Now we will see an example.

If he sells 20 womens shoes and 10 mens shoes , he will meet the requirements.

He will make a total profit = 2.3\times 20 + 3\times 10 =$76

8 0
3 years ago
A package of 12 pencils cost $0.96. At this rate, how much would 100 pencils cost?
Alexandra [31]

Answer:$8

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
80 is 25% of what number
serious [3.7K]
<span>The number 80 is <span>25%</span> of <span>320</span></span>
6 0
4 years ago
1. r-8/5=-4/11<br> 2. 9a/a+4= 3/5
BigorU [14]

Answer:

1 r= 68/55

2 no solution

Step-by-step explanation:

3 0
3 years ago
B Christian installed an electric pump to pump water from a borehole into a 30 000 litre cement dam. If the water is pumped at a
skelet666 [1.2K]

Given the amount of water needed to fill the cement dam and the water pump rate, the time needed to fill the dam is 400 minutes or 6hours 40minutes.

Option B)6h 40min is the correct answer.

<h3>How long does it take to fill the dam?</h3>

Given that;

  • Amount of water needed to fill the dam A = 30000 litres
  • Pump rate r = 75 litres per minute
  • Time needed to fill the dam T = ?

To determine how long it take to fill the dam, we say;

Time need = Amount of water needed ÷ Pump rate

T = A ÷ r

T = 30000 litres ÷ 75 litres/minute

T = 400 minutes

Note that; 60min = 1hrs

Hence,

T = 6hours 40minutes

Given the amount of water needed to fill the cement dam and the water pump rate, the time needed to fill the dam is 400 minutes or 6hours 40minutes.

Option B)6h 40min is the correct answer.

Learn more word problems here: brainly.com/question/2610134

#SPJ1

8 0
2 years ago
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