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patriot [66]
3 years ago
10

Which equations are equivalent to ? 3^3√x+4 =12 Check all that apply.

Mathematics
2 answers:
vova2212 [387]3 years ago
8 0

Answer:

The third and the fifth equations are equivalent.

Step-by-step explanation:

First of all, you must find x from 3\cdot \sqrt[3]{x+4}=12 and check during the procedure what expressions from the options are equivalent.

The process is shown below:

  1. 3\cdot \sqrt[3]{x+4}=12
  2. \sqrt[3]{x+4}=\frac{12}{3}
  3. \sqrt[3]{x+4}=4
  4. (\sqrt[3]{x+4})^3=(4)^3
  5. x+4=64
  6. x=64-4
  7. x=60

From step 3, it could be said that the first, the second and the fourth options ARE NOT equivalent equations because when the left side is \sqrt[3]{x+4}, the right side must be +4, and these three options don't meet the condition.

From step 5, it could be said that the third option IS an equivalent equation because it is the same expression.

From step 7, it could be said that the fifth option IS an equivalent equation because it is the same expression.

Thus, the third and the fifth equations are equivalent.

eimsori [14]3 years ago
4 0

Answer:

option c

x + 4 = 64

and

option e

x = 60  

Step-by-step explanation:

Given in the question an expression

3∛x+4 = 12

∛x + 4 = 12/3

∛x + 4 = 4

Take cube on both sides of the equation

∛(x + 4)³ = 4³

x + 4 = 64

x = 64 - 4

x = 60  

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Tomtit [17]
You can use variables to solve this problem. Lets say that m is men, w is women, and c is children. m+w+c=266
four times as many men as children in ‘math words’ would be 4c=m
twice as many women as children would be 2c=w
what we can do now is plug those in to make everything easier with one variable
4c+2c+c=266
7c=266
c=38 now we have how many children, and we need to plug it back into what we have for women and men.
4c=m 4(38)=m m=152
2c=w 2(38)=w w=76


152 men, 76 women, and 38 children
7 0
3 years ago
Find the compound amount of $5700.00 at 11.2% p.a. for seven years compounded
vitfil [10]

Answer:

11984.18 dollars

Step-by-step explanation:

Given that an amount of 5700 dollars is invested at 11.2% p.a. for seven years compounded.

We have compound interest formula for Principal P for n years at r% compounded annually is

Final amount = P(1+r)^n\\=5700(1+0.112)^7\\=11984.18

Final amount for 5700 dollars at 11.2% p.a. for 7 years would be

11984.18 dollars.

Answer is 11984.18 dollars

3 0
3 years ago
Albert $1000 earned 1.2% annual interest compounded monthly
mr Goodwill [35]

Answer:

  $2159.07

Step-by-step explanation:

The compound interest formula is used to find the balance for the $1000 investment:

  A = P(1 +r/n)^(nt)

  A = 1000(1 +.012/12)^(12·10) = 1000·1.001^120 ≈ 1127.43

__

For a 2% loss, the multiplier of the investment value is 1-.02 = 0.98. The value of the first $500 investment is ...

  A = 500(1 -.02) = 490.00

__

The continuous compounding formula is used for the second $500 investment.

  A = Pe^(rt)

  A = 500e^(.008·10) = 500e^.08 = 541.64

__

The total value of Albert's investments is ...

  $1127.43 +490 +541.64 = $2159.07

3 0
3 years ago
What is the equation of a parabola with its vertex at the origin and its focus at (–2, 0)?
user100 [1]

Step-by-step explanation:

this is the answerI hope it helps

7 0
3 years ago
During a sale, a store offered a 20% discount on a camera that was originally priced at $280. After the sale, the discounted pri
Alex_Xolod [135]

Answer:

280

Step-by-step explanation:

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8 0
3 years ago
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