The given equation is
4x + 8x² = 88
That is,
8x² + 4x - 88 = 0
or
2x² + x - 22 = 0
The x-axis intercepts are determined by the solution of the quadratic equation as
x = (1/4) [-1 +/- √(1+176)] = 3.076 or -3.376
Answer: 3.076 or -3.376
If the increase is x% per year, the multiplier each year is 1+x (expressed as a decimal).
Bozeman = 27,509·1.0196^t
Butte = 32,370·0.9971^t
where t is the number of years after 1990.
Answer:
-2.20 < z < 2.20
Step-by-step explanation:
You are saying the entire area = 0.9722
so 1 - 0.9722 = 0.0278
then we want it to fit in the middle of the normal curve with center 0
so...
0.0278/2 =0.0139 this corresponds to 2.20 on the z-score chart
Answer:
Percent form: 41.65%
Fraction form: 
Step-by-step explanation:
33% of men support John Smith.
67% of women support John Smith.
Lets say, for instance, that there are 20 polled individuals -- 10 women and 10 men.
However, since 1.5 times as many men voted as women, we have to apply our poll to 15 men and 5 women.
33% of the 15 men makes 5 men who voted for Smith and 10 who did not.
67% of the 5 women makes 3.33 women who voted for Smith and 1.67 who did not.
Add these numbers together.
8.33 total voters were cast for John Smith, while 11.67 were not.
Now, divide 8.33 by 20 and multiply by 100 to obtain a percentage.

41.65% of voters voted for John Smith according to the results of the poll.
The expression that represents the total volume of both cubes is

.
The volume of a cube is found by multiplying its length, width, and height; for the first cube, this is
V=(2f)(2f)(2f)=8f³.
For the second cube, this is
V=(3g²)(3g²)(3g²)=27g⁶.
The total area is their sum, so 8f³+27g⁶.