Step-by-step explanation:
Case 1 : |x| > a, => x > a or x < -a
Case 2 : |x| < a, => -a < x < a
Since this question follows Case 1, we will have an "or" inequality.
Answer:
-3x + 3
OR
-3(x-1)
if you want it factored
Step-by-step explanation:
transition up is just adding the desired amount to the equation so
f(x) transitioned up 1 = -3x+3
Answer:
(E) 0.83
Step-by-step explanation:
We will solve it using conditional probability.
Let A be the event that a TV show is successful.
P(A) = 0.5
A' be event that the show is unsuccessful
P(A') =0.5
Let B be the event that the response was favorable
P(B) = 0.6
Let B' be the event that the response was unfavorable/
P(B') = 0.4
P(A∩B) = 0.5 and P(A∩B') = 0.3
We need to find new show will be successful if it receives a favorable response.
P(A/B) =
= 0.5/0.6
= 0.833
Answer:
The value of x = 9
Step-by-step explanation:
Angle Bisector Theorem
An angle bisector of a triangle would cut the opposite side into two segments that are proportional to the other two sides of the triangle.
Thus,
Cross Multiply the expression
Divide both sides by 20
Therefore, the value of x = 9
If it is on sane for 25% off, that's the same as being on sale for 75% of the original price.
Multiply the original cost by 75% in decimal form.
30*.75=22.5
Final answer: $22.50