If you know that -2 is a zero of f(x) = x^3 + 7x^2 + 4x - 12, explain how to solve the equation.
First you have to figure out what could make f(x) = 0 to get rid of the cube. I'm going to test the array of data, x = -2, x = -3, and x = -4 because this type of equation probably has more negative values given that if you plug in some values the cubed-values and squared-values will surpass the "-12". Plug this into a calculator.
x^3 + 7x^2 + 4x - 12
f(-2) = -8 + 28 - 8 - 12 = 0
So you know that when x = -2, f(x) = 0. Divide "(x + 2)" from the equation and you will get... x^2 + 5x - 6. Now this is a simple polynomial one that you can figure to be (x + 6) (x - 1) just by looking at it because -6 multiplied by 1 is negative 6 and you see 5 and know that 6 - 1 = 5.
The solution is (x + 6) (x - 1) (x + 2) meaning that when x = -6, 1, or -2, f(x) is 0.
Rounding to the nearest hundredth would equal a more accurate and precise answer since more decimals are present. Your answer would be even more accurate if you rounded to the nearest thousandth.
Answer:
The answer is, " About 56% of those who prefer baseball are eight graders"
Step by Step Explanation:
Step 1: Turn 56% to a decimal, you get 0.56
Step 2: Multiply 0.56 by 68, the total amount of people who like baseball
Step 3 : you get 38.08 ( Don't mind the extra .08, just round )
Step 4 : You celebrate with a little victory dance!!!!!
Answer:
the probability that the mean student loan debt for these people is between $31000 and $33000 is 0.1331
Step-by-step explanation:
Given that:
Mean = 30000
Standard deviation = 9000
sample size = 100
The probability that the mean student loan debt for these people is between $31000 and $33000 can be computed as:
From Z tables:
Therefore; the probability that the mean student loan debt for these people is between $31000 and $33000 is 0.1331
Answer:
I believe the answer is 83.17
I hope this helps! ^.^
