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3 years ago

8(3x-6)=6(4x+8) help please with step by step thanks

Mathematics

1 answer:

Lubov Fominskaja [6]3 years ago

5 0

Answer:

Your answer is: No solution

Step-by-step explanation:

Hope this helped : )

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Y varies with square or x. x=3 y=16 find the equation of variation

Vladimir [108]

Y=16x²/9 ....................................

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4 years ago

When the sum of \, 528 \, and three times a positive number is subtracted from the square of the number, the result is \, 120. F

aleksandr82 [10.1K]

Let $x$ be the unknown number. So, three times that number means $3x$ , and the square of the number is $x^2$

We have to sum 528 and three times the number, so we have $528+3x$

Then, we have to subtract this number from $x^2$ , so we have

$x^2-(3x+528)$

The result is 120, so the equation is

$x^2 - 3x - 528 = 120 \iff x^2 - 3x - 648 = 0$

This is a quadratic equation, i.e. an equation like $ax^2+bx+c=0$ . These equation can be solved - assuming they have a solution - with the following formula

$x_{1,2} = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

If you plug the values from your equation, you have

$x_{1,2} = \dfrac{3\pm\sqrt{9-4\cdot(-648)}}{2} = \dfrac{3\pm\sqrt{9+2592}}{2} = \dfrac{3\pm\sqrt{2601}}{2} = \dfrac{3\pm51}{2}$

So, the two solutions would be

$x = \dfrac{3+51}{2} = \dfrac{54}{2} = 27$

$x = \dfrac{3-51}{2} = \dfrac{-48}{2} = -24$

But we know that x is positive, so we only accept the solution $x = 27$

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3 years ago

Which expression is equivalent -4×4×4×4×4×4×4×4?

WITCHER [35]

Answer:

$-\underbrace{4\times4\times4\times4\times4\times4\times4\times4}_{8}=-4^8$

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3 years ago

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What is the square root of 8 and why?

kicyunya [14]

Rewrite 88 as 22⋅222⋅2.Factor 44 out of 88.√4(2)4⁢2Rewrite 44 as 2222.√22⋅222⋅2Pull terms out from under the radical.2√22⁢2The result can be shown in both exact and decimal forms.Exact Form:2√22⁢2Decimal Form:2.82842712…

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3 years ago

8.33 Suppose Paul receives a 6% raise every year. After four such raises, what is the total percentage increase to the nearest w

Oksana_A [137]

Answer:

Given:

Suppose Paul receives a 6% raise every year.

To find:

After four such raises, the total percentage increase to the nearest whole percent.

The formula used to calculate percentage is: (value/total value)*100%.

Step-by-step explanation:

Step 1 of 1

Assume his salary is originally 100 dollars.

Then, in the next year, he would have 106 dollars, and in the next, he would have 112.36 dollars.

The next year he would have 119.1016 dollars and in the final year, he would have 126.247.

As the total increase is,

((126.247 -100)/100) *100

= 26.247%

the answer is 26%.

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2 years ago

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