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mihalych1998 [28]
4 years ago
15

Find the smallest solution to the equation 2/3 X² equals 24

Mathematics
1 answer:
iren [92.7K]4 years ago
4 0

Answer:

The smallest solution is -6

Step-by-step explanation:

2/3 x^2 = 24

Multiply each side by 3/2

3/2 *2/3 x^2 = 24*3/2

x^2 = 36

Take the square root of each side

sqrt(x^2) = sqrt(36)

x = ±6

The smallest solution is -6

The largest solution is 6

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Anita's sister had $6000 to invest. She invested part of this sum at 4% and the other part at 6%. If the annual return on the 6%
Maru [420]

Answer:

2550

Step-by-step explanation:

I'm assuming the interest is annual.

so this is breaking the 6000 into two parts, I am going to call them A and B.  i will say A is invsted at 4% and B is invested at 6%

It then tells us the amount of interest gaied from B is $15 more than the interest gained from A.  We basically use a system of equations.

A + B = 6000

.06B - .04A = 15

Let me know if you don't see how I got these equations.  I will go ahead and solve.

A + B = 6000

Gonna solve for A so I can plug it into the other eqaution and solve for B, which is what the question is asking for.  You can get both either way though.

A = 6000 - B

Plug this into the other equation.

.06B - .04A = 15

.06B - .04(6000 - B) = 15

.06B - 240 + .04B = 15

.1B = 255

B = 2550

this means A is 3450.  You can check by seeing what theinterest is for each.  

2550*.06 = 153

3450*.04 = 138

153 is 15 more than 138 so everything checks out.  

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3 years ago
15 points! Will mark brainliest for smartest answer.
goblinko [34]

Answer:

4.75b+3.50=15.00

Step-by-step explanation:

4.75b+3.50=15.00

4.75b=11.50

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Answer:

-10

Step-by-step explanation:

Substitute 5 into the equation

(-5)2

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