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Dahasolnce [82]
2 years ago
9

Simplify 9y+2y-5y please answer

Mathematics
2 answers:
Brums [2.3K]2 years ago
7 0

Answer:

9y+2y-5y=6y

Step-by-step explanation:

So we have the expression:

9y+2y-5y

To simplify, simply combine the like terms. Therefore:

9y+2y-5y\\=11y-5y\\=6y

Further notes:

To understand why we can combine like terms in the first place, we just need to use the distributive property. So we have the expression:

9y+2y-5y

Now, factor out a y from the three terms:

=y(9+2-5)

Do all the operations inside the parenthesis:

y(9+2-5)\\=y(11-5)\\=y(6)=6y

And we moved the y back to the front!

This is the same result as before. When combining like terms, this is what we're essentially doing but without doing the distributive property manually. I hope you understand a bit better on how and why we can combine like terms!

Daniel [21]2 years ago
7 0

Answer:

6y

Step-by-step explanation:

We are given the expression:

9y+2y-5y

and asked to simplify.

Each term in the expression has the same variable, a "y". Therefore, all three terms are like terms. We can combine the like terms in the expression.

First, factor out a y from each term.

9y+2y-5y

(9+2-5)*y

Solve inside the parentheses first. Add 9 and 2.

(11-5)*y

Subtract 5 from 11.

(6)*y

6y

The expression 9y+2y-5y simplified is 6y.

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I need the reasons for this
rusak2 [61]

Answer:

Reflexive Property

ASA

CPCTC

Step-by-step explanation:

4 0
2 years ago
Solve the following equation:<br> 9n² - n - 2/3 = 0
KIM [24]

Answer:

see explanation

Step-by-step explanation:

Given

9n² - n - \frac{2}{3} = 0 ← multiply through by 3 to clear the fraction

27n² - 3n - 2 = 0 ← factoring

Consider the factors of the product of the n² term and the constant term which sum to give the coefficient of the n- term

product = 27 × - 2 = - 54 and sum = - 3

The factors are - 9 and + 6

Use these factors to split the n- term

27n² - 9n + 6n - 2 = 0 ( factor the first/second and third/fourth terms )

9n(3n - 1) + 2(3n - 1) = 0 ← factor out (3n - 1) from each term

(3n - 1)(9n + 2) = 0

Equate each factor to zero and solve for n

3n - 1 = 0 ⇒ 3n = 1 ⇒ n = \frac{1}{3}

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3 0
3 years ago
Help on number 12 please?​
zloy xaker [14]

Answer:

f(n)= 5 · 4

f(n) = 5 \times 4 ^{n - 1}

Step-by-step explanation:

You use the explicit formula for geometric sequence. The five is the firat term and is placed correctly. The 4 is the rate of change, because if you multiply 5 by 4 you get 20 and so on.

7 0
3 years ago
PLEASE HELP! 40 POINTS! All the problems are in the screenshot!
alisha [4.7K]
1.
Domain: {-1, 0, 2, 3}
Range: {2, 4, 6}

2.
Ax+By=C: linear equation standard form
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2 years ago
[(b+3)÷(a–2)](−4) if a=−5, b=6.
finlep [7]
9/-7 x -4=

36/7

Hope it helps
6 0
3 years ago
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