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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">

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