The answer is: (z - 6)(z + 15)
z² + 9z - 90 = z*z + 15z - 6z - 6*15 =
= (z*z + 15z) - (6z + 6*15) =
= z(z + 15) - 6(z + 15) =
= (z - 6)(z + 15)
B. f(x)=5(6.86x) this the correct anwser
Answer:
-7
Step-by-step explanation:
f(3) = 2(3)+3 = 9
g(4) = 2^4 = 16
9 - 16 = -7
Answer:

Step-by-step explanation:
The equation of the curve is

To find the equation of tangent we need to differentiate this equation w.r.t x
So, differentiating we get

This would give the slope of the tangent line at any given point of which x coordinate is known. In the present case it is 
Then slope would accordingly be

= ∞
For,
, 
Equation of tangent line, in the point slope form, would be 
Answer:
The variance for the number of tasters is 4.2
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they are tasters, or they are not. The probability of a person being a taster is independent of any other person. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The variance of the binomial distribution is:

It is known that 70% of the American people are "tasters" with the rest are "non-tasters". Suppose a genetics class of size 20
This means that 
So

The variance for the number of tasters is 4.2