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3 years ago

Choose the correct simplification of the expression (2x7y)2(y5)3.

Mathematics

2 answers:

adoni [48]3 years ago

8 0

Im taking this to mean (2 x^7 y)^2 (y^5)^3

= 4x^14 y^2 * y^15

= 4x^14 y^17 which is option 4

olga55 [171]3 years ago

3 0

4x^14 y^17 which is option 4

I took the test

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Which value is NOT a solution of 8x3 – 1 = 0?

Tpy6a [65]

Note: As you may have unintentionally missed to add the value choices. But, I would make sure to explain the concept so that you may improve your understanding in terms of solving these type of questions.

Answer:

Any value other than the values $x=\frac{1}{2},\:x=-\frac{1}{4}+i\frac{\sqrt{3}}{4},\:x=-\frac{1}{4}-i\frac{\sqrt{3}}{4}$ will not be a solution of $8x^3\:-\:1\:=\:0$ .

Step-by-step explanation:

Considering the equation

$8x^3\:-\:1\:=\:0$

Steps to solve the equation

$8x^3-1=0$

$\mathrm{Add\:}1\mathrm{\:to\:both\:sides}$

$8x^3-1+1=0+1$

$\mathrm{Simplify}$

$x^3=\frac{1}{8}$

$\mathrm{Divide\:both\:sides\:by\:}8$

$\frac{8x^3}{8}=\frac{1}{8}$

$\mathrm{Simplify}$

$x^3=\frac{1}{8}$

$\mathrm{For\:}x^3=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt[3]{f\left(a\right)},\:\sqrt[3]{f\left(a\right)}\frac{-1-\sqrt{3}i}{2},\:\sqrt[3]{f\left(a\right)}\frac{-1+\sqrt{3}i}{2}$

$x=\sqrt[3]{\frac{1}{8}},\:x=\sqrt[3]{\frac{1}{8}}\frac{-1+\sqrt{3}i}{2},\:x=\sqrt[3]{\frac{1}{8}}\frac{-1-\sqrt{3}i}{2}$

So,

$x=\frac{1}{2},\:x=-\frac{1}{4}+i\frac{\sqrt{3}}{4},\:x=-\frac{1}{4}-i\frac{\sqrt{3}}{4}$

Therefore,

Any value other than the values $x=\frac{1}{2},\:x=-\frac{1}{4}+i\frac{\sqrt{3}}{4},\:x=-\frac{1}{4}-i\frac{\sqrt{3}}{4}$ will not be a solution of $8x^3\:-\:1\:=\:0$ .

Keywords: solution, value

Learn more about equation solution from brainly.com/question/1679491

#learnwithBrainly

7 0

3 years ago

Joelle is working on a school report in a word processor. She wants to place a figure which is 13.09 \text{ cm}13.09 cm13, point

dimulka [17.4K]

Subtract 13.09 from 21.59 giving you 8.5. Since the amount of space on both the left and right margin have to be equal you would divide by 2 to get 4.25 on the left margin as well as the right.

3 0

3 years ago

Read 2 more answers

5.06,5.14,5.1,5.01 smallest to largest

beks73 [17]

5.01, 5.06, 5.14, 5.1

3 0

3 years ago

Which of the following are solutions to the quadratic equation? Check all that

xenn [34]

Step-by-step explanation:

I don't see options but here's the solution

2x²+9x-3=-x²+x

2x²+x²+9x-x-3=0

3x²+8x-3=0

(3x-1)(x+3)=0

Therefore x=⅓ or-3

6 0

2 years ago

Find the quotient of 4.13 x 10^-8 and 0.04 x 10^5. In two or more complete sentences, explain each step in your calculations.Inc

poizon [28]

we know that

Quotient is the number resulting from the division of one quantity by another

Let

x--------> the first quantity

y------> the second quantity

q------> the quotient

$q=\frac{x}{y}$ -------> equation 1

in this problem

$x=4.13*10^{-8} \\ y= 0.04*10^{5}$

Substitute the values in the equation 1

$q=\frac{4.13*10^{-8}}{0.04*10^{5}}$

Simplify

$q=\frac{4.13*10^{-8}}{0.04*10^{5}}=\frac{4.13}{0.04}*10^{-8}*10^{-5}=\frac{4.13}{0.04}*10^{-13}\\ \\q=103.25*10^{-13}\\ \\q= (1.0325*10^{2})*10^{-13}\\ \\q= 1.0325*10^{-11}$

therefore

the answer is

The quotient is equal to $1.0325*10^{-11}$

6 0

3 years ago