I'm having trouble finding the missing measures. Any help? (20 POINTS!)

Find one value of x that is a solution to the equation: (x^2– 8)^2 + x^2 – 8 = 20 x=

Kipish [7]

Answer:

x = 2 sqrt(3) or x = -2 sqrt(3) or x = sqrt(3) or x = -sqrt(3)

Step-by-step explanation:

Solve for x:

-8 + x^2 + (x^2 - 8)^2 = 20

Expand out terms of the left hand side:

x^4 - 15 x^2 + 56 = 20

Subtract 20 from both sides:

x^4 - 15 x^2 + 36 = 0

Substitute y = x^2:

y^2 - 15 y + 36 = 0

The left hand side factors into a product with two terms:

(y - 12) (y - 3) = 0

Split into two equations:

y - 12 = 0 or y - 3 = 0

Add 12 to both sides:

y = 12 or y - 3 = 0

Substitute back for y = x^2:

x^2 = 12 or y - 3 = 0

Take the square root of both sides:

x = 2 sqrt(3) or x = -2 sqrt(3) or y - 3 = 0

Add 3 to both sides:

x = 2 sqrt(3) or x = -2 sqrt(3) or y = 3

Substitute back for y = x^2:

x = 2 sqrt(3) or x = -2 sqrt(3) or x^2 = 3

Take the square root of both sides:

Answer: x = 2 sqrt(3) or x = -2 sqrt(3) or x = sqrt(3) or x = -sqrt(3)

8 0

2 years ago

out of 125 children at summer camp 45 signed up for swimming 38 for arts and crafts if a child is randomly selected what is the

anzhelika [568]

P(s) = 45/125 = 0.360
P(A&C) = 38/125 = 0.304
Probability that one is not in Arts and Crafts = 1- P(A&C) = 1-0.304 = 0.696

Therefore,
Probability that the child selected is in swimming when its known they didn't sign for Arts and craft = Probability they signed for swimming * Probability that they didn't sign for Arts and Crafts = 0.360*0.696 = 0.25056

3 0

3 years ago

Read 2 more answers

What is greater than 1/2 what fractions are greater than 1/2

Lelu [443]

Answer:

3/4

Step-by-step explanation:

3/4 is one example of a fraction that is greater than 1/2. If 1/2 become 2/4, therefore 3/4 is a fraction which is greater than 1/2.

5 0

2 years ago

Write the equations in graphing form, then state the vertex of the parabola or the center and radius of the circle.

Sati [7]

All we need is to put this form in the vertex form f(x) = (ax+b)^2 + c

So we have f (x)= 3x^2+12x+11 ....

Let's complete the square (if you aware of it)

f(x)= 3x^2+12x+11 = 3(x^2+4x)+11 = 3(x^2+4x+4-4)+11
= 3([x^2+4x+4]-4)+11 = 3[(x+2)^2-4]+11 =3(x+2)^2 - 12 +11 = 3(x+2)^2 -1

so our form would be:

$f(x)=3(x+2)^2-1$

Here is a parabola with vertex of (-2,-1) and with positive slope (concave up)

I hope that helps!

6 0

3 years ago

Emergency help will mark brainliest answer

I am Lyosha [343]

Answer:

Step-by-step explanation:

Use the formula

$A(t)=P(1+r)^t$ where P is the initial investment, r is the interest rate in decimal form, and t is the time in years. Filling in what we are given: