Equation #1:
|2x - 3| = 17
The first solution is
2x - 3 = 17
2x = 17 + 3 = 20
x = 10
The second solution is
3 - 2x = 17
-2x = 17 - 3 = 14
x = -7
The solutions are x = 10 or x = -7.
Equation #2:
|5x + 3| = 12
The only solution is
5x + 3 = 12
5x = 12 - 3 = 9
x = 9/5
Let us examine the given answers.
a. Equation #1 and #2 have the same number of solutions.
FALSE
b. Equation @1 has more solutions than Equation #2.
TRUE
c. Equation #1 has fewer solutions than equation #2.
FALSE
d. None of the statements a,b, or c apply.
FALSE
Answer: b.
The expression (-4x + 9)^2 cannot be equal to (-4x)^2 + 9^2 because it is actually equal to the product of two factors (3 + 2sqrt x) (3- 2 sqrt x). One cannot use obviously distributive property. Hence the answer to this problem should be C. as she did not understand both perfect square trinomial and did not determine the product
Answer:
y = 9x + 50
Step-by-step explanation:
No choices but an equation would be:
y = 9x + 50
Hi, I was able to find the full context for this one from another source:
<span>"Juanita has a storage closet at her shop with extra bottles of lotion and shower gel. Some are scented and some are unscented. If she reaches into the closet and grabs a bottle without looking, she has a 42% chance of grabbing a bottle of shower gel."
For the "shower gel" and "scented" to be independent given the situation above, we need to show that P(A | B) = P(A). You can get this equation from the definition of "independence" where P(A </span>∩ B) = P(A)*P(B) and the formula for conditional probability P(A | B).
We only have the given P(shower gel) = 42% therefore the event "shower gel" must be the variable A.
ANSWER: To show independence of the two events, P(shower gel | scented) = 42% must be true.
