Answer:
X^2+3X-10
Step-x^2by-step explanation:
4(x-2/3) = -18
4x - 8/3 = -18
4x = -54/3 + 8/3
4x = -46/3
x = -46/3 * 1/4
x = -46/12
x = -23/2
2x = -23/2 * 2
2x = -46/2
2x = -23
Answer:
We'll solve that in parts.
The upper part is a right triangle that is 4 by (2 + 2 +6)
Area = (4 * 10) /2 = 20
The bottom of that figure is made of 3 parts.
A) a 2 by 2 right triangle. area equals (2*2)/2 = 2
B) a 2 by 2 square whose area equals 2*2 = 4
C) a 6 by 2 right triangle whose area equals (6*2) / 2 = 6
Total Area = 20 + 2 + 4 + 6 = 32
Step-by-step explanation:
The sample size should be 250.
Our margin of error is 4%, or 0.04. We use the formula

To find the z-score:
Convert 98% to a decimal: 0.98
Subtract from 1: 1-0.98 = 0.02
Divide both sides by 2: 0.02/2 = 0.01
Subtract from 1: 1-0.01 = 0.99
Using a z-table (http://www.z-table.com) we see that this value has a z-score of approximately 2.33. Using this, our margin of error and our proportion, we have:

Divide both sides by 2.33:

Square both sides:

Multiply both sides by n:

Divide both sides to isolate n:
Step-by-step explanation: Remember that the parent graph f(x) = x², is a parabola that opens up and passes through the origin.
Notice that g(x) = x² + 2 has 2 added to the parent term.
This means that g(x) = x² + 2 is the graph of f(x) = x² translated two units up.