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Ghella [55]
3 years ago
14

Rewrite the equation using the properties of exponents.

id="TexFormula1" title="\sqrt[3]{81y^7}" alt="\sqrt[3]{81y^7}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
nekit [7.7K]3 years ago
3 0

Answer:

3y^2 3√3y(end route) if you are simplifying, and (81y^7)^1/3 if you are rewriting it.

Step-by-step:

I know this!

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Which of the following is a binomial? <br>A) 8x^5<br>B) 11x+18 <br>C) 14x^2+5x+12 <br>D) 4/x
Citrus2011 [14]

A Binomial is a Polynomial with two terms:

8 0
1 year ago
Find all the zeroes of the equation(with simple steps).
uysha [10]

<u>Answer-</u>

<em>The zeros are, 5,\ -5,\ 4i,\ -4i</em>

<u>Solution-</u>

\Rightarrow -3x^4+27x^2+1200=0

\Rightarrow -3(x^2)^2+27(x^2)+1200=0

Here,

a = -3, b = 27, c = 1200

So,

x^2=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}

=\dfrac{-27\pm \sqrt{-27^2-4\cdot (-3)\cdot 1200}}{2\cdot (-3)}

=\dfrac{-27\pm \sqrt{729+14400}}{-6}

=\dfrac{-27\pm 123}{-6}

=\dfrac{-27+123}{-6},\ \dfrac{-27- 123}{-6}

=\dfrac{96}{-6},\ \dfrac{-150}{-6}

=-16,\ 25

So,

\Rightarrow x^2=25,\ -16

\Rightarrow x=\sqrt{25},\ \sqrt{-16}

\Rightarrow x=5,\ -5,\ 4i,\ -4i

8 0
3 years ago
Solve the equation for exact solutions over the interval​ [0, 2π​).
quester [9]

Answer:

\displaystyle x=\left\{0, \frac{2\pi}{3}, \frac{4\pi}{3}\right\}

Step-by-step explanation:

We want to solve the equation:

-2\cos^2(x)=-\cos(x)-1

Over the interval [0, 2π).

First, notice that this is in quadratic form. So, to make things simpler, we can let <em>u</em> = cos(x). Substitute:

-2u^2=-u-1

Rearrange:

2u^2-u-1=0

Factor:

(2u+1)(u-1)=0

Zero Product Property:

2u+1=0\text{ or } u-1=0

Solve for each case:

\displaystyle u=-\frac{1}{2}\text{ or } u=1

Back-substitute:

\displaystyle \cos(x)=-\frac{1}{2}\text{ or } \cos(x)=1

Using the unit circle:

\displaystyle x=\left\{0, \frac{2\pi}{3}, \frac{4\pi}{3}\right\}

7 0
3 years ago
Which fraction has a value that's equal to 7/8?
mr Goodwill [35]
Four options are given for this question, which are: 15/8, 49/64, 56/8 and 21/24.
7/8 = 0.875
15/8 = 1.875
49/64 = 0.7656
56/8 = 7
21/24 = 0.875.
The fraction that has a value that corresponds with that of 7/8 is 21/24, therefore, 21/24 is the correct option.

8 0
3 years ago
Read 2 more answers
An average drop of blood contains about 1.6×104 white blood cells. A rare drop of blood contains about 5×104 white blood cells.
Bas_tet [7]

Answer:

353.6

Step-by-step explanation:

White blood cells in average drop of blood = 1.6 * 104 = 166.4

White blood cels in rare drop of blood = 5 * 104 = 520

Difference between the number of white blood cells in a rare drop of blood and the number of white blood cells in an average drop of blood

= 520 - 166.4 = 353.6

7 0
3 years ago
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