Answer:
Discriminant= b²-4ac
a = 9 b = -3 and c = -2
Discriminant = (-3)² - 4(9)(-2)
= 9+72
Discriminant = 81
Ans = 81
You could buy 276 single markers, you can buy 28 packs of markers, or 3 boxes of marker because 1pack = 10 markers, 10 markers multiplied by 10 packs equals 100. So 1 box would have 100 markers in it and if you took 2 boxes you would be missing 76 markers, so you're better off getting 3 boxes and having 300 markers than being less by 76.
Because if x is greater than y, then x-y wouldn’t be below 0 like it’s shown, so x must be less than y.
And if x is less than y, any negative y would mean x is negative as well since it’s always less than y. And as shown, x+y is positive so it’s impossible for y to be negative.
Answer:
-4x^3 + 7y^3 + 5
Step-by-step explanation:
7y^3 - 7x^3 + 4 - 5 + 6 - 3x^3 + 6x^3 Given
7y^3 - 7x^3 - 3x^3 + 6x^3 + 4 - 5 + 6 Rearrange
7y^3 - 4x^3 + 5 Combine the like terms
or
-4x^3 + 7y^3 + 5 Answer
Answer:
a. .92
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
The margin of error of the interval is:

The lower bound is the point estimate
subtracted by the margin of error.
The upper bound is the point estimate
added to the margin of error.
Point estimate:
The confidence interval is symmetric, so it is the mean between the two bounds.
In this problem:

Sample of 400, which means that 
Margin of error is the estimate subtracted by the lower bound. So 
We have to find z.




has a pvalue of 0.96.
This means that:




Confidence level:

So the correct answer is:
a. .92