Answer:
Step-by-step explanation:
This is a third degree polynomial since we have 3 zeros. We find these zeros by factoring the given polynomial. The zeros of a polynomial are where the graph of the function goes through the x-axis (where y = 0). If x = -4, the factor that gives us this value is (x + 4) = 0 and solving that for x, we get x = -4. If x = -2, the factor that gives us that value is (x + 2) = 0 and solving that for x, we get x = -2. Same for the 5. The way we find the polynomial that gave us these zeros is to go backwards from the factors and FOIL them out. That means that we need to find the product of
(x + 4)(x + 2)(x - 5). Do the first 2 terms, then multiply in the third.
, which simplifies to

No we multiply in the final factor of (x - 5):
which simplifies to

If you are aware of the method for factoring higher degree polymomials, which is to use the Rational Root Theorem and synthetic division, you will see that this factors to x = -4, -2, 5. If you know how to use your calculator, you will find the same zeros in your solving polynomials function in your apps.
Answer:
Step-by-step explanation:
Given is a steam and leaf plot.
This shows the age of customers who were interviewed in a survey by a store.
From the plot we can say that 10th digit is represented by the stem
For greater than 32, obviously 1,2 stem valus will not work.
For stem 3, we can leave 30 and 31 start with 2 in leaf and 3 n stem
We have 32, onwards 7 persons
Similarly for 4, we have 6, for 5 we have 5, for 6 we have 4 and for 7 we have 1
Total number of customers who have ages more than 32 years = 21
Answer:
Step-by-step explanation:
∠2, ∠3, and ∠4
Answer:
Option C is the answer.
Step-by-step explanation:
Given diameter is = 2 miles
So, radius will be = 1 mile
Let t represents the number of hours it took Johanna to walk completely around the lake.
Now, the circumference is given as: 
So, circumference =
= 6.28 miles
Johanna's speed = 3 miles/ hour
We know the formula 
t = 
t = 2.09 hours
This is greater than 2, but less than 2.5, therefore, 2.0 < t < 2.5 is the answer.