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liraira [26]
3 years ago
10

3х2 = 147 Solve by undoing

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
3 0

Answer: +/- 7

Step-by-step explanation:

3x² = 147

To solve for x divide through by three first.

3x² = 147

x² = 49, now we take the square root of both side by trying to apply laws of indices.

√x² = √49

The square root will neutralize the effect of the square because

√a = a¹/² so (x²)¹/², and (x²)¹/² =

x²×¹/² = x, therefore the solution is

x = +/- 7.

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Answer:

The answer is option 4.

Step-by-step explanation:

You have to use Indices Law,

{a}^{m}  \times  {a}^{n}  =  {a}^{m + n}

{a}^{ - n}  =  \frac{1}{ {a}^{n} }

So for this question :

{2}^{ - 4}  \times  {2}^{2}

=  {2}^{ - 4 + 2}

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2 years ago
Marisol is being paid $792 to provide nutrition counseling, It took her 8 hours more than she expected, so
olchik [2.2K]

Answer: 44 hours.

Step-by-step explanation:

Marisol is being paid $792.

We know that the job took her 8 hours more than she expected, so if we define T as the time she expected, this job took her:

T + 8 hours.

The amount of money per hour that she expected is calculated as:

$792/T = X

And for those 8 extra hours, she won $4 less per hour, then we have:

$792/(T + 8hs) = X - $4

Then we have a system of equations:

$792/T = X

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To solve this, we can notice that in the first equation X is isolated, then we could replace that in the second equation to get:

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Now we can solve this for T.

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0*T = ($792*(8hs/T) - $4*T + $32*hs)*T

0 = $792*8hs - $4*T^2 +$32*T*hs

This is a quadratic equation, where i will write this witout units so it is easier to read and follow:

0 = -4*T^2 + 32*T + 792*8

The solutions cab be found by using the Bhaskara´s formula, these are:

T = \frac{-32 +- \sqrt[2]{(32^2 - 4*(-4)*(792*8)} }{2*-4}  = \frac{-32 +-320}{-8}

Then the solutions are:

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The other solution is:

T = (-32 - 320)/-8 = 44 hours.

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