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stiv31 [10]
1 year ago
8

Which of the following represents the sum of the polynomials below?

Mathematics
1 answer:
zysi [14]1 year ago
3 0

Answer:

A

Step-by-step explanation:

First, you have to align the like terms next to each other so that it will be easier to combine like terms. (Like terms have the same variables and powers)

6x^3+(-2x^3)+2x^2+5x^2+9x+3x

Combine like terms:

(When combining like terms all you have to do is add/subtract the coefficients, number in front of variables, and leave the variable and exponents)

6x^3+(-2x^3)= > 6x^3-2x^3=4x^3

2x^2+5x^2=7x^2

9x+3x=12x

So, we get 4x^3+7x^2+12x

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Part A
labwork [276]

An <em>algebraic expression</em> is one that consists of both <u>number(s)</u> and an <u>alphabet(s)</u>. The <em>required</em> answers are:

i. Distance from Chenoa's <u>house</u> to the <em>coffee shop</em> = 6.0 miles

ii. D<u>istance</u> from <em>coffee shop</em> to Chenoa's <u>school</u> = 1.5 miles

iii. <em>Distance</em> from Chenoa's <u>house</u> to her <u>school</u> = 7.5 miles

An <em>algebraic expression</em> is one that consists of both <u>number(s)</u> and an <u>alphabet(s)</u>. The <em>alphabet</em> is referred to as the <u>unknown</u> whose <u>value</u> has to be <em>determined</em>.

In the given question, let the <u>distance</u> from the <em>coffee shop</em> to Chenoa's <u>school</u> be represented by y.

So that;

The <u>distance</u> from Chenoa's house to the <em>coffee shop</em> = (2y + 3) miles.

The <em>total distance</em> from Chenoa's <u>house</u> to her <u>school </u>= 5y.

This implies that:

(2y + 3) + y = 5y

3y + 3 = 5y

3 = 5y - 3y

2y = 3

y = \frac{3}{2}

  = 1.5

The <em>distance</em> from the <em>coffee shop</em> to Chenoa's <u>school</u> is 1.5 miles.

Thus;

(2y + 3) = ( 2(1.5) + 3)

            = 6

The <u>distance</u> from Chenoa's <u>house</u> to the <em>coffee shop</em> is 6 miles.

And,

5y = 5(1.5)

    = 7.5

The <em>total distance</em> from Chenoa's <u>house</u> to her <u>school</u> is 7.5 miles.

For more clarifications on algebraic expressions, visit: brainly.com/question/12792264

#SPJ1

5 0
2 years ago
How old am I if 400 reduced by 3 times my age is 241
fenix001 [56]

Answer:

Step-by-step explanation:

5

5 0
3 years ago
Read 2 more answers
Marco does 14 extra math problems each school night how many extra problems does he do each week. there are 5 school nights in a
Alexus [3.1K]
Marco does 70 extra math problems each week. 14(5)=70 
4 0
3 years ago
Read 2 more answers
I need help assap
Bad White [126]
It’s 2=x because you have start with 2 then 5
5 0
2 years ago
Plz help <br>2×3+6×9×2×1×4-68-1+86=<br><br>plz help​
nordsb [41]
The final answer would be 455
5 0
3 years ago
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