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BARSIC [14]
3 years ago
15

“Determine whether 3x+12+x is equivalent to 4(3+x). Use properties of operations to justify your answer” PLEASE HELP

Mathematics
1 answer:
Firdavs [7]3 years ago
6 0

Answer:

It’s equivalent.

Step-by-step explanation:

Collect like terms: 4x+12 = 4(3+x)

Expand brackets: 4x+12 = 12+4x

Rearrange: 4x+12 = 4x+12

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Simplify the expression 3x(x – 12x) + 3x2 – 2(x – 2)2. Which statements are true about the process and simplified product? Selec
Ann [662]

To solve the problem we must know about the Like terms and expressions.

<h3>What is an Expression?</h3>

In mathematics, an expression is a set of numbers, variables, and mathematical operations formed according to rules.

Given ;

3x(x - 12x) + 3x^2 - 2(x - 2)^2

To  solve the algebraic expression,

3x(x - 12x) + 3x^2 - 2(x - 2)^2\\\\3x(x - 12x) + 3x^2 - 2(x^2 - 4x + 4)\\\\3x(x - 12x) + 3x^2 - 2x^2 + 8x - 8\\\\3x^2 - 36x^2 + 3x^2 - 2x^2 + 8x - 8\\\\-33x^2 + x^2 + 8x - 8\\\\\\-32x^2  + 8x - 8\\

To solve the problem we must know about the Like terms and expressions.

Learn more about Expression:

brainly.com/question/13947055

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7 0
2 years ago
To offset college expenses, at the beginning of your freshman year you obtain a nonsubsidized student loan for $15,000. Interest
soldier1979 [14.2K]

Answer:

15000(1.003425)^12t ;

4.11%

4.188%

Step-by-step explanation:

Given that:

Loan amount = principal = $15000

Interest rate, r = 4.11% = 0.0411

n = number of times compounded per period, monthly = 12 (number of months in a year)

Total amount, F owed, after t years in college ;

F(t) = P(1 + r/n)^nt

F(t) = 15000(1 + 0.0411/12)^12t

F(t) = 15000(1.003425)^12t

2.) The annual percentage rate is the interest rate without compounding = 4.11%

3.)

The APY

APY = (1 + APR/n)^n - 1

APY = (1 + 0.0411/12)^12 - 1

APY = (1.003425)^12 - 1

APY = 1.04188 - 1

APY = 0.04188

APY = 0.04188 * 100% = 4.188%

7 0
3 years ago
I will give brainliest <br> show work please
Neko [114]

Answer:

B

Step-by-step explanation:

B

7 0
3 years ago
Which expression is a perfect cube?
maks197457 [2]

-216x^9 y^18 is a perfect cube

3 0
3 years ago
Read 2 more answers
What is the diameter of a cone with height 8 m and volume 150 m3 ? (1 point 7.5 m 15 m?
Hitman42 [59]
This is the concept of volume of solid materials, we are required to find the diameter of cone with height 8 and volume 150 m^3.
volume of cone is given by;V=1/3 (pi*r^2*h)
making r^2 the subject we get;
V/(pi*h)=r^2
inserting the values in our formula we get:
150/(pi*8)=r^2
r^2=5.97
thus;
r=sqrt(5.97)=2.44
But ;
diameter=2*radius
thus
diameter=2.44*2
=4.88 m
3 0
3 years ago
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