Answer:
B) f(x) = 3x² - 2x + 5
Step-by-step explanation:
To find the correct quadratic function that represents the table, you must substitute [x] into the quadratic function.
A) f(x) = 3x² + 2x - 5
B) f(x) = 3x² - 2x + 5
C) f(x) = 2x² + 3x - 5
D) f(x) = 2x² - 2x + 5
A. 3(-2)² + 2(-2) - 5 =
3(4) - 4 - 5
12 - 4 - 5
12 - 9
= 3
B. 3(-2)² - 2(-2) + 5 =
3(4) + 4 + 5
12 + 9
= 21
C. 2(-2)² + 3(-2) -5 =
2(4) - 6 - 5
8 - 11
= - 3
D. 2(-2)² + 2(-2) + 5 =
2(4) - 4 + 5
8 - 4 + 5
8 + 1
= 9
Your correct answer is: B
Answer:
the median is 43
Step-by-step explanation:
Answer:
160:340
Step-by-step explanation:
The hours between 2:00pm and 4:00pm is 2 hours. If originally 350 freshman and 200 sophomores are at the carnival, and 20 freshman leave every hour, we can determine how many freshman left in 2 hours:

and if 35 sophomores arrive every half our, we know that for every two hours there is 4 half hours, therefore:

The amount of freshman at 4:00pm:

and the amount of sophomores:

the ratio is 160:340
Answer:
Points -2 and -6 on the number line are the two solutions.
Step-by-step explanation:
Use the definition of absolute value as a starting point

To solve the equation, you need to treat the two cases as above:

The solution x=-2 is consistent with the condition x>=-4, so it is the first and valid solution. Now the second case of the absolute value:

Again, the second solution -6 complies with the requirement that x<-4, so it is valid.