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Nady [450]
3 years ago
9

What is one half to the fifth power?

Mathematics
1 answer:
bagirrra123 [75]3 years ago
3 0
16.181818911918626382829229228282882828282.6272882
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Please show the steps​
notka56 [123]

Answer:

  x = -3, 0, or 7

Step-by-step explanation:

After removing common factors, the remaining quadratic can be factored by comparison to the factored form of a quadratic.

__

<h3>Step 1</h3>

Write the equation in standard form.

  4x³ -16x² -84x = 0

<h3>Step 2</h3>

Factor out the common factor from all terms.

  = 4x(x² -4x -21) = 0

<h3>Step 3</h3>

Compare to the factored form of a quadratic:

  (x +a)(x +b) = x² +(a+b)x +ab

This tells you the constants 'a' and 'b' in the factors can be found by considering ...

  (a+b) = -4 . . . . the coefficient of the x term of the quadratic

  ab = -21 . . . . . the constant term of the quadratic

It is often helpful to list factor pairs of the constant:

  -21 = (-21)(1) = (-7)(3) . . . . integer pairs that have a negative sum

The sums of these pairs are -20 and -4. We are interested in the latter. We can choose ...

  a = -7, b = 3

<h3>Step 4</h3>

Put it all together.

  4x³ -16x² -84 = (4x)(x -7)(x +3) = 0 . . . . . factored form of the equation

<h3>Step 5</h3>

Apply the zero product rule. This rule tells you the product of factors will be zero when one or more of the factors is zero:

  4x = 0   ⇒   x = 0

  x -7 = 0   ⇒   x = 7

  x +3 = 0   ⇒   x = -3

Solutions to the equation are x ∈ {-3, 0, 7}.

_____

<em>Additional comment</em>

What we did in Step 3 is sometimes referred to as the X-method of factoring a quadratic. The constant (ab product) is put at the top of the X, and the sum (a+b) is put at the bottom. The sides of the X are filled in with values that match the product and sum: -7 and 3. The method is modified slightly if the coefficient of x² is not 1.

A graphing calculator often provides a quick and easy method of finding the real zeros of a polynomial.

3 0
2 years ago
The odds of winning a teddy bear are 5:8. The probability of winning a framed picture is 43%. For which do you have a better cha
Serhud [2]

Answer:

I'd say you had a better chance going 5:8

4 0
3 years ago
Vivi is a drummer for a band. She burns 756756756 calories while drumming for 333 hours. She burns the same number of calories e
alexandr1967 [171]

<u>burned: </u>756 calories

<u>hours:</u> 3

same number of calories each hour

-> to find this, we must split the number of calories evenly among the hours

<u>steps</u>

756/3

= 252 calories per hour

6 0
3 years ago
Read 2 more answers
In the figure, the slope of mid-segment DE is -0.4. The slope of segment AC is?
chubhunter [2.5K]

Answer:

\pink{\boxed{{\colorbox{white}{Answer}}}}

\purple {\overline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}

In the figure, the slope of mid-segment DE is -0.4. The slope of segment AC is?

A.) 0.4

B.) -0.4

C.) 2

D.) -2

\purple {\overline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}

Step-by-step explanation:

\pink{\boxed{{\colorbox{white}{- MsTiyana}}}}

# i hope it helps you

# mark me brainliest thank you

8 0
2 years ago
10 tan = ___pounds?
tensa zangetsu [6.8K]
(I'm guessing you mean ton)
10 ton = 20,000 pounds
8 0
3 years ago
Read 2 more answers
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