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MakcuM [25]
3 years ago
6

Factor the four-term polynomial.

Mathematics
2 answers:
Morgarella [4.7K]3 years ago
8 0
<span>(n + 3) • (m - 5) is the correct answer and I hope this helped you out.  </span>
pshichka [43]3 years ago
4 0

Answer:

Option (c) is correct.

The factored form of four term polynomial  mn - 15 + 3m - 5n is  (m- 5)(n + 3)  

Step-by-step explanation:

Given  a four term polynomial as  mn - 15 + 3m - 5n

We have to factorize the given polynomial  mn - 15 + 3m - 5n.

Consider the given polynomial  mn - 15 + 3m - 5n

factorization is the process of writing an expression in  factors  such that when we multiply them we get back the same expression.

Consider  mn - 15 + 3m - 5n

We factorize it by grouping terms,

Grouping term is the rearrangement of term such that we can take some term common.

We will interchange - 15 and  3m , we get,

⇒  mn + 3m - 5n - 15

Taking m common from first two term and -5 common from last two term , we have

⇒  m(n + 3) - 5(n + 3)  

⇒  (m- 5)(n + 3)  

Thus the factored form of four term polynomial  mn - 15 + 3m - 5n is  (m- 5)(n + 3)  

Option (c) is correct.

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Salama makes fruit baskets with oranges and bananas.
vovangra [49]

<em><u>The ratio for problem is:</u></em>

oranges : bananas = 9 : 6 or oranges : bananas = 6 : 4

<em><u>Solution:</u></em>

Given that, Salama makes fruit baskets with oranges and bananas

She uses between 8 and 16 oranges and bananas in a ratio of 3 oranges to 2 bananas

Given ratio is:

Ratio of orange to bananas = 3 : 2

They add up to 5 fruits,  so some possible values are 5, 10, 15 , 20, 25, etc

But we need a value between 8 and 16 oranges and bananas

So we can choose 15 or 10

Now let us choose 15 and solve

Let the oranges be 3x

Let the bananas be 2x

Therefore,

3x + 2x = 15

5x = 15

x = 3

Thus oranges = 3x = 3(3) = 9

Bananas = 2x = 2(3) = 6

Thus the ratio for problem is:

oranges : bananas = 9 : 6

Similarly solve for 10

3x + 2x = 10

5x = 10

x = 2

Thus oranges = 3x = 3(2) = 6

Bananas = 2x = 2(2) = 4

Thus the ratio for problem is:

oranges : bananas = 6 : 4

8 0
3 years ago
A. Calculate the average yearly rate of change in home runs hit from 1990<br> to 1992.
kodGreya [7K]

Answer:

Step-by-step explanation:

Use the rise over run formula

y2-y1/x2-x1

1992-1990/3317-3038

2/-279

-139.5

5 0
3 years ago
Find the coordinates of the midpoint of the segment whose endpoints are R(9, 3) and S(-1, -9).
amm1812

Answer:

(4, -3 )

General Formulas and Concepts:

<u>Pre-Algebra I</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

  • Midpoint Formula: (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )

Step-by-step explanation:

<u>Step 1: Define</u>

R (9, 3)

S (-1, -9)

<u>Step 2: Find midpoint</u>

  1. Substitute:                    (\frac{9-1}{2}, \frac{3-9}{2} )
  2. Subtract:                       (\frac{8}{2}, \frac{-6}{2} )
  3. Divide:                          (4, -3 )
4 0
2 years ago
10 pts
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263.25 is the volume of the box in inches cubes you have to multiply 4.5 by 9 by 6.5
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Read 2 more answers
Please help I am really struggling:(
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The equation would be 4(-22)-5
7 0
2 years ago
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