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3 years ago

Factor:(m+2)^2−(m+2)+mn·(n+2)+2n(n+2)

1 answer:

5 0

ANSWER
${(m + 2)}( {n}^{2} + 2n + m + 1)$

EXPLANATION

The given expression is

${(m + 2)}^{2} - (m + 2) + mn(n + 2) + 2n(n + 2)$

We factor to get,

$= {(m + 2)}(m + 2 - 1) +n (n + 2) (m+ 2)$

This implies that,

$= {(m + 2)}(m + 1) +n (n + 2) (m+ 2)$

We factor further to obtain,

$= {(m + 2)}((m + 1) +n (n + 2))$

or

$= {(m + 2)}( {n}^{2} + 2n + m + 1)$

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Help! I have no idea!

qwelly [4]

I believe is C and D because

C. The original rectangle width is 2m and the length is 4m. And to make the other rectangle they are adding .5 m to both the width and length

D. The original rectangle has a width of 2m and length of 4m. To make the other rectangle they are substracting 1 m from the width and length

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3 years ago

Combine any like terms in the expression. If there are no like terms, rewrite the expression.

stich3 [128]

Answer:

40w^3

Step-by-step explanation:

I'm assuming you meant w^3 (w to the third power). In that case, you would just add 34 + 13 + 11 - 18 because they are all like terms (coefficients of w^3).

5 0

2 years ago

If tile costs $8.50 per square foot, how much does it cost per inch?

Sphinxa [80]

Answer:

$0.06 per square inch

Step-by-step explanation:

The question should be:

<em>"If tile costs $8.50 per square foot, how much does it cost per square inch?"</em>

<em />

To solve this, we basically need a conversion from feet to inches. BUT 2 times, since we are talking about "square feet" and "square inches".

We know 1 feet = 12 inches

Also, since we are going from square feet to square inches [big to small], we have to divide TWICE.

Thus, we will have:

$\frac{8.5}{12*12}$

We are dividing 8.5 (the cost) by 12, 2 times since we want square feet in square inches. The answer is:

$\frac{8.5}{12*12}=0.06$

So, tile costs $0.06 per square inch

6 0

3 years ago

You and three friends are eating a pizza with 12 pieces. Each person eats the same number of pieces. Let x represent the number

Setler [38]

Answer:

C. 4x = 12

Step-by-step explanation:

You and three friends= you + 3 friends=4 people

Pizza= 12 pieces

Each person eats equal pieces of pizza

x= number of pieces each person ate

Equation

4x=12

Divide both sides by 4

x=12/4

x=3

Therefore, each person ate 3 pieces of pizza each

Check:

4x=12

4(3)=12

12=12

6 0

2 years ago

PLEASE HELP I REALLY DONT UNDERSTAND HOW TO DO THESE QUESTIONS!!!!! THANK YOU I APPRECIATE YOU!!!!

liraira [26]

Answer:

a) $42,580

b) $43,900

Step-by-step explanation:

Recall, "mode" refers to the value which occurs most frequently.

In this case, the question says that there are 2 modes,

this means $34,000 and $50,500 both share the spot for the most frequently appearing salary.

because there are only 5 employees (and hence 5 salaries), the only possible way that there are two modes is if there are two of each mode, leaving only the last salary unknown.

i.e if we list the 5 salaries (in no particular order)

$34,000 $34,000 $50,500 $50,500 $ x

where x is the 5th unknown salary.

Given that the mean is $42,100

Then (34,000 + 34,000 + 50,500 + 50,500 + x) / 5 = 42,100

solving for x gives x = $41,500

Now we know all the values, we can rearrange them in increasing value:

$34,000 $34,000 $41,500 $50,500 $50,500

from this, we can see that the median salary is $41,500

Given that the median salary gets a $2400 raise,

the new median salary = $41,500 + $2400 = $43,900 (Ans for part b)

new mean salary,

= ($34,000 + $34,000 + $43,900 + $50,500 + $50,500 ) / 5

= $42,580 (answer for part a)

4 0

3 years ago