Answer:
B. x(x) + (−6)(−3)
NOT equivalent to (x − 6)(x − 3)
Step-by-step explanation:
(x − 6)(x − 3)
= x^2 - 3x - 6x + 18
= x^2 - 9x + 18
A. (6 − x)(3 − x)
= 18 - 6x - 3x + x^2
= 18 - 9x + x^2
= x^2 - 9x + 18 ---->equivalent to (x − 6)(x − 3)
B. x(x) + (−6)(−3) = x^2 + 18 ----> NOT equivalent to (x − 6)(x − 3)
C. x2 − 3x − 6x + 18 = x^2 - 9x + 18 --> equivalent to (x − 6)(x − 3)
D. x(x − 6) − 3(x − 6)
= x^2 - 6x - 3x + 18
= x^2 - 9x + 18 ---->equivalent to (x − 6)(x − 3)
Answer:
8.5 for each student ticket
Step-by-step explanation:
Simply divide the total cost 42.5 by the amount of students 5 to get your answer.
42.5 / 5 = 8.5
Add up all the numbers & divide by the number of numbers. That should give you the mean.
Answer:
It is very likely that Rosa wins both prizes.
Step-by-step explanation:
The probability of winning a T‐shirt is 0.89 and the probability of winning a $20 gift certificate is 0.05. Which statement correctly describes the chances of Rosa winning a T‐shirt or a $20 gift certificate?
We have these three possibe outcomes.
Win t-shirt(0.89 probability) and lose the gift certiciate(1 - 0.05 = 0.95 probability)
Lose t-shirt(0.11 probability) and win the gift certiciate(0.05 probability).
Win both.
So

0.8955 = 89.55% probability of Rosa winning a T‐shirt or a $20 gift certificate, which is considered a very likely probability. So the answer is:
It is very likely that Rosa wins both prizes.