Answer:
D h(x) = f(x)×g(x)
Step-by-step explanation:
h(x) has a wave with 2 changes in direction.
so, this needs to be an expression of the third degree (there must be a term with x³ as the highest power of x).
and that is only possible when multiplying both basic functions. all the other options would keep it at second degree (x²) or render it even to a first degree (linear).
Graphing by hand isn’t always accurate and can be stressful when using a graphing calculator it gives you the correct answers and is more reliable
Answer:
Although the notation is sloppy, I will assume based on former questions of the same that "∑n=15[5(−2)^n−1]" translates mathematically to . Please correct me, though, if this in incorrect.
Anyway, there is neat formula that will deal with question very quickly. It is the following:
Sn is the sum of the geometric series
a1 is the first term in the series
r is the common ratio
n is the number of terms in the finite geometric series
Let's use this formula to our advantage! However, there are two variables that we do not know: a1 and n. Let's start with a1.The first term in the series is when n=1, so let's determine what that is.
Answer:
480 people
Step-by-step explanation:
Set up an equation where x is the number of people surveyed:
180 = (x)(0.375)
Solve for x:
180 = (x)(0.375)
480 = x
So, Annette surveyed 480 people
60 * 3 = 180 and 90 * 2 = 180
if they are supplementary angles than they equal 180 together.
angle p is three times less than twice the measure of angle q so that means 180/3 = angle p and 180/2 = angle q.
Angle q is 90 and twice that is 180 and Angle p is 60 and three times that is 180
so 60 is three times less than twice the measure of 90.
60 three times is 180 and 90 twice is 180 which means 3p = 2q and you have 180 because they are supplementary angles so you have really 180/3 = p and 180/2 = q
The answer is p = 60 and q = 90
