Find the real or imaginary solutions of the equation by factoring. x^4-8x^2=-16

Answers

Answer 1

Answer: ANSWER
$x=2$ or $x=-2$
EXPLANATION

The given equation is
${x}^(4) - 8 {x}^(2) = - 16.$

We set everything equal to zero to obtain,

${x}^(4) - 8 {x}^(2) + 16 = 0$

We rewrite the leading term to obtain,

${( {x}^(2) )}^(2) - 8( {x}^(2)) + 16 = 0$

This has now become a quadratic equation in
${x}^(2)$

We split the middle term to get,

${( {x}^(2) )}^(2) - 4 {x}^(2)- 4x^2+ 16 = 0$

We factor to get,

${x}^(2) (x^2-4)-4( {x}^(2)-4) = 0$

We factor further to get,

$( {x}^(2) -4)(x^2-4)= 0$

This gives

$( x-2)(x+2)(x-2)(x+2)= 0$

$( x-2)^2(x+2)^2= 0$

$x=2$ or $x=-2$

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I have a homework problem on functions, its a expondental problem how do i right a equation for it

Answers

if the teacher said to yes but if she didnt no but just incase show your proof so that the teacher knows your follopwing in class

Write 1 2568/10,000 in a decimal notation

Answers

12568/10000

The 10000 has four zeros, write 12568 as 12568.0, simply move the decimal point four places to the left, since 10000 has four zeros.

You have 1.2568 as the answer.

1.2568
It's simple....just follow these steps;
1. See the denominator(the number you are dividing with) which in this case is 10,000.
2. Now, since the denominator is a number that has "1" on the unit place (more examples of such numbers are 10, 100, 1000, 10000 etc.), follow the followig steps.
NOTE:- Do not follow these steps if such is not the case.
3. Count the number of zeros in the denominator.
4. Now, in this case we have 4 zeros, so start counting the digits in the numerator form right.
5. Put the decimal after number of digits equal to the counted zeros.
hope it helps... =)

A cell phone manufacturer chose 200 people at random and asked them whether they would purchase the newest model for $300. The manufacturer repeated this survey using the same method three more times.Do any of the surveys appear to be biased?

Would purchase new model for $300? Survey
1 2 3 4
Yes 127 131 128 133
No 73 69 72 66

A.
Yes, because the results from Survey 1 differ the most from the other surveys’ results.

B.
Yes, because the results from Survey 4 differ the most from the other surveys’ results.

C.
No, because the sampling methods are all different but have about the same results.

D.
No, because all four surveys have about the same number of people saying “yes” and about the same number of people saying “no.”

Answers

Yes, because the results from Survey 4 differ the most from the other surveys’ results.

A circular piece of metal has a radius of 3.5 meters. The metal sells for $3.25 per square meter.

What is the total cost of the circular piece of metal?

A.
$11.38

B.
$38.47

C.
$71.44

D.
$125.01

Answers

Use the formula for finding the area of a circle, then multiply it by each square meter.

A = π r²
A = π (3.5)²
A = 12.25π
A = 38.485

C = 3.25(38.485)
C = 125.01

Answer = $125.01

Area of circle = πr²

Radius, r = 3.5m,

Area = πr² = π*3.5*3.5 = 12.25π m²

Area ≈ 12.25 *3.141 ≈ 38.477 m²

Since the metal sells for $3.25 per square meter.

Total cost for 38.477 m² = 38.477 * 3.25 = 125.05

Answer is = $125.05

The answer is not really there, but let's say we can manage option D which is $125.01.

Estimate then find the sum or difference 8.5+1.8

Answers

Estimating usually means rounding to the nearest whole number to make it so that you can do the math in your head.
So, 8.5 becomes 9, and 1.8 becomes 2.
The sum would then be 11
And the difference is 7

I need help it is at 16 points I really do not get this can someone help (picture included)

Answers

hi dear i will tell the first question is b but i did not know it will be correct or no .

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