Which step can you use to solve the equation

You can either use the Pythagorean theorem right away (a = -3, b = 27, c = 1200) or Try factoring the polynomial to find the zeros.

I would factor and start by dividing everything by -3.

<span>-3x^4 + 27x^2 + 1200 = 0
-3(x^4 - 9x^2 - 400) = 0

If you divide by -3 on both sides you see that the -3 is now gone. 0/-3 = 0

x^4 - 9x^2 - 400 = 0
factor further or use Pythagorean theorem.

(x² - 25)(x² + 16) = 0

Solve for the x-values by setting each one equal to zero.

x² - 25 = 0
x² = 25
x is +5 or -5

x² + 16 = 0
x² = -16
x = √(-16)
Two non-real solutions
x is +4i or -4i

</span>

E^2x -2e^x -8=0   =>    e<span>^(2x)  -2e^x -8=0

Temporarily replace e^x with y.

Then (y)^2 - 2y - 8 = 0.  Factors are (y-4) and (y+2).

Roots are y = 4 and y= -2.

Now remembering that we temporarily replaced e^x with y, we let 
y=4 = e^x.  We need to solve for x.  Taking the natural log of both sides, we get:

ln 4 = x (answer)

We have to discard the other root (y= -2), because we cannot take the ln of a negative number.


</span>

Answer:

150 inches.

Step-by-step explanation:

There are 2 cubes in this image.

1 - 7 * 3 * 5       = 105

2 - 3 * 5 * 3      = 45

105 + 45

= 150

Answer:

Step-by-step explanation:

Rearranging the weights in ascending order, it becomes

5.4, 5.7, 5.7, 5.8, 6.0, 6.6, 7.1, 7.1, 7.5, 7.5, 8.1, 8.7, 9.3, 9.4, 9.4

The formula for determining the percentile is expressed as

n = (P/100)N

Where

n represents the value of the given percentile

P represents the given percentile

N represents the number of items(weights)

From the information given, the number of items, n is 15

P = 53

Therefore,

n = (53/100) × 15

n = 7.95

n = 8

Therefore, the weight that represents the 53rd percentile is the 8th value. It becomes 7.1

53rd percentile is 7.1

The second choice is the right anwser