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Schach [20]
3 years ago
8

(5x^2+2)-(-4x^2+7)+(-3x^2-5)

Mathematics
1 answer:
Kryger [21]3 years ago
8 0

Answer:

9 {x}^{2}  -  3x

Step-by-step explanation:

We want to simplify

(5 {x}^{2}  + 2) - ( - 4 {x}^{2}  + 7) + ( - 3x - 5)

We expand the parenthesis to get;

5 {x}^{2}  + 2  + 4 {x}^{2}    -  7- 3x - 5

We group similar terms to get:

5 {x}^{2}  + 4 {x}^{2}- 3x - 5 + 2 - 7

Combine the terms;

9 {x}^{2}- 3x  + 0

Therefore the simplified expression in standard form is:

9 {x}^{2}  - 3x

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Rooter Plus charges a $25 service fee plus $40 per hour of work done. Is this a proportional or non-proportional relationship?
Dominik [7]

Answer:

Non-proportional; the rate of change is $40/hour

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line <u>and the line passes through the origin</u>

Let

x -----> the number of hours

y ----> The total charge in dollars

The equation of the line in slope intercept form is equal to

y=mx+b

where

m is the slope

b is the y-intercept

we have

m=40\ \$/h\\b=\$25

substitute

y=40x+25

This relationship is not proportional, because the line not passes through the origin

therefore

Non-proportional; the rate of change is $40/hour

5 0
3 years ago
The sevth term of a geometric sequence is 108 the eight term is 36 find the common ratio
ValentinkaMS [17]

Answer:

<h3><u>Required Answer</u><u>:</u><u>-</u></h3>

\sf t_8=108 \\ \sf t_7=36

  • Common difference=d

{:}\longrightarrow\sf d=t_8-t_7

{:}\longrightarrow\sf d=108-36

{:}\longrightarrow\sf d=72

7 0
3 years ago
Manuel created a factor tree and wrote the prime factorization of 60 shown below.
nata0808 [166]
"Manuel" here put the arrow in the wrong place. Should be under 15, not 4. PLUS, 4 is not prime, cuz 2 goes into it...
3 0
3 years ago
Read 2 more answers
Please help ASAP <br> I really need help please will name you the brain
MAXImum [283]

Answer:

I believe answer B

Step-by-step explanation:

It says shifted UP 3 units and 2+3=5 so that is my answer. Feel free to yell at me if I am wrong.

8 0
3 years ago
A rectangle that is 2 inches by 3 inches has been scaled by a factor of 7. What are the side lengths of the scaled copy? *
icang [17]

Answer:

The sides are now 14 Inches and 21 Inches

Step-by-step explanation:

I don't know if I am missing a step here, but according to what you explained, 2x7=14, and 3x7=21.

3 0
3 years ago
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