Answer:
6:8 x2
9:12 x3
12:16 x4
15:20 x5
Step-by-step explanation:
Just multiply both of the number by the same number and you will find an equavilant ratio.
Hope this helps!
*I also added a few different answers so it can give you a clear idea.
Compound interest:
where
is the amount you start with,
is the interest rate,
is the number of times interest is compounded per year, and
is amount of time that passes.
Answer:
Cubic equations and the nature of their roots
Just as a quadratic equation may have two real roots, so a cubic equation has possibly three. But unlike a quadratic equation which may have no real solution, a cubic equation always has at least one real root.
10.
Factor the following:
8 x^2 - 2 x - 10
Factor 2 out of 8 x^2 - 2 x - 10:
2 (4 x^2 - x - 5)
Factor the quadratic 4 x^2 - x - 5. The coefficient of x^2 is 4 and the constant term is -5. The product of 4 and -5 is -20. The factors of -20 which sum to -1 are 4 and -5. So 4 x^2 - x - 5 = 4 x^2 - 5 x + 4 x - 5 = 4 x (x + 1) - 5 (x + 1):
2 4 x (x + 1) - 5 (x + 1)
Factor x + 1 from 4 x (x + 1) - 5 (x + 1):
Answer: 2 (x + 1) (4 x - 5)
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13.
Factor the following:
16 x^2 - 24 x + 8
Factor 8 out of 16 x^2 - 24 x + 8:
8 (2 x^2 - 3 x + 1)
Factor the quadratic 2 x^2 - 3 x + 1. The coefficient of x^2 is 2 and the constant term is 1. The product of 2 and 1 is 2. The factors of 2 which sum to -3 are -1 and -2. So 2 x^2 - 3 x + 1 = 2 x^2 - 2 x - x + 1 = -(2 x - 1) + x (2 x - 1):
8 x (2 x - 1) - (2 x - 1)
Factor 2 x - 1 from x (2 x - 1) - (2 x - 1):
Answer: 8 (2 x - 1) (x - 1)
Answer:
b). Examine relationships between two categorical variables
Step-by-step explanation:
- The chi-square test of independence is used to determine if there is a significant relationship between 2 Categorical variables.
- In the data set-up for the Chi-Square Test of Independence, at minimum, your data should include two categorical variables and each categorical variable must include at least two groups.
