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zavuch27 [327]
4 years ago
14

Which method represents a correct way to solve the equation?

Mathematics
1 answer:
AlladinOne [14]4 years ago
7 0

Answer:

Multiply -3 by 2.

Multiply x by 2.

Combine like terms.

Subtract 6 from both sides.

Use the quadratic formula to solve for x.

Step-by-step explanation:

Given:

-x (-3 + x )2 = 6

-x (-3 + x )2 = 6

-x (-6 + 2x) = 6

-6x + 2x^2 = 6

2x^2 - 6x - 6 = 6 - 6

2x^2 - 6x - 6 = 0

Multiply -3 by 2.

Multiply x by 2.

Combine like terms.

Subtract 6 from both sides.

Use the quadratic formula to solve for x.

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Carlos is 33 years younger than Kristen. 2 years ago, Kristen's age was 2 times Carlos's age. How old is Carlos now?
ale4655 [162]

Answer:

Carlos is 35 years old now

Step-by-step explanation:

Assume that Carlos is x years old now

∵ Carlos is x years old now

∵ Carlos is 33 years younger than Kristen

- Kirsten's age is the sum of x and 33

∴ Kirsten is x + 33 years old now

2 years ago

∵ Carlos's age = x - 2

∵ Kristen's age = x + 33 - 2 = x + 31

∵ Kristen's age was 2 times Carlos's age

- Equate Kristen's age by 2 times Carlos's age

∴ x + 31 = 2(x - 2)

- Simplify the right hand side

∴ x + 31 = 2x - 4

- Subtract x from both sides

∴ 31 = x - 4

- Add 4 to both sides

∴ 35 = x

∵ x represents Carlos's age now

∴ Carlos is 35 years old now

6 0
4 years ago
Solve 1/2(24) + 1/3(9)
lara31 [8.8K]

Answer:

=15

Step-by-step explanation:

1/2(24)+1/3(9)

=12+1/3(9)

=12+3

=15

6 0
3 years ago
Read 2 more answers
an initial deposit of $200 is made into an account that pays 4.2% annual interest. What is a model to represent the balance in t
Sholpan [36]
You would use the equation y = A(1+r)^t 

A = Original amount = 200
r = interest rate = 0.042 (when converted from percent to decimal)
t = time = x 

Plug them in and you get the model: y = 200(1+0.042)^x 

or just simplify the parentheses to (1.042)
5 0
3 years ago
A credit card had an APR of 18.78% all of last year and compounded interest daily. What was the credit card's effective interest
MAVERICK [17]
Effective interest rate
R=(1+0.1878÷360)^(360))−1)*100
R=20.65%
5 0
3 years ago
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Suppose the population of a certain city is 3987 thousand. It is expected to decrease to 3157 thousand in 50 years. Find the per
Natalija [7]
Oh you just gotta like multipley and then subtracted it
7 0
3 years ago
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