Answer:
(x-9)(x-3)
Step-by-step explanation:
Look to the number on the right, 27, and list out the factors. (1 and 27, 3 and 9, -1 and -27, -3 and -9)
Next, find the factors that would equal the middle number, -12, when added. -3 and -9 add to -12. Therefore, choose these numbers and put them in the form (x-9)(x-3).
Answer:
See below
Step-by-step explanation:
If an expression is not dependent on x, it simplified form must not contain x. To show that this is the case for (a) and (b) we need to simplify them and assess:
(a)
Indeed, does not depend on x!
And (b)
Again, does not depend on x.
Answer:
A zero function is a function that is almost everywhere zero.
Step-by-step explanation:
Answer:
x=60
Step-by-step explanation:
Simplifying
0.79x + 24 = 1.19x
Reorder the terms:
24 + 0.79x = 1.19x
Solving
24 + 0.79x = 1.19x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1.19x' to each side of the equation.
24 + 0.79x + -1.19x = 1.19x + -1.19x
Combine like terms: 0.79x + -1.19x = -0.4x
24 + -0.4x = 1.19x + -1.19x
Combine like terms: 1.19x + -1.19x = 0.00
24 + -0.4x = 0.00
Add '-24' to each side of the equation.
24 + -24 + -0.4x = 0.00 + -24
Combine like terms: 24 + -24 = 0
0 + -0.4x = 0.00 + -24
-0.4x = 0.00 + -24
Combine like terms: 0.00 + -24 = -24
-0.4x = -24
Divide each side by '-0.4'.
x = 60
Simplifying
x = 60
Answer:
Alpha (α) is used to measure the error for decisions concerning true null hypotheses, while beta (ß) is used to measure error for decisions concerning false null hypotheses.
Step-by-step explanation:
Suppose we have events X and Y.
1. If it is said that X equals Y, when X is actually not equal to Y, α is used in this case, the null hypotheses.
2. If X is said to not be equal to Y, when X is actually equal to Y, β is used in this case, the false null hypotheses.
