Answer:
D
Step-by-step explanation:
To find the discriminant you do b^2-4(a)(c), which in this case gives you -28. If your discriminant is less than zero, you will have no real roots.
Answer:
The average U.S. citizen throws away about 133.8 pounds of garbage a month.
Step-by-step explanation:
First take the total amount of trash thrown away in a year (1,606), and divide it by the number of months in a year (12).
1,606 / 12 = 133.833333
You would get 133.833333 and would round it to the nearest tenth and get 133.8.
Answer:
The passing score is 645.2
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
If the board wants to set the passing score so that only the best 10% of all applicants pass, what is the passing score?
This is the value of X when Z has a pvalue of 1-0.1 = 0.9. So it is X when Z = 1.28.
The passing score is 645.2
(f+g)(x)=f(x)+g(x)=(2x-6)+(4x+7)=6x+1
(f-g)(x)=f(x)-g(x)=(2x-6)-(4x+7)=-2x-13
(fg)(x)=f(x)×g(x)=(2x-6)(4x+7)=8x^2-10x-42
(f+g)(-2)=f(-2)+g(-2)=(2(-2)-6)+(4(-2)+7)=-11
Answer:
7 whole loaves of bread.
Step-by-step explanation:
Since there are total of 6 locations and each location needs to have the same number of whole loaves of bread we simply need to divide the number of mini-loaves of banana bread by the number of locations like so...
45 / 6 = 7.5
As we can see by the mathematical expression above 45 loaves of bread can be divided into 6, giving each location 7.5 loaves of bread but since each location needs only whole loaves then that would mean that each location would get 7 whole loaves of bread.
