Stella invested $42,000 in an account paying an interest rate of 4 7/8% compounded quarterly. Chloe invested $42,000 in an accou
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The linear formula for the sequence whose terms represent the percentage of americans who smoke n years after 2014 is:
A linear function is modeled by:
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and for a time-dependent function, can also be interpreted as the initial value.
In this problem:
- The percentage of smokers in 2014 was 16.7%, hence the initial value is
- The percentage is decreasing by 5.6% each year, hence the slope is
.
Then, the <em>equation </em>is:
You can learn more about linear functions at brainly.com/question/24808124
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.