Answer: 2
Steps:
f(-2) = 1/2x^2
f(-2) = 1/2(-2)^2
f(-2) = 1/2(4)
f(-2) = 2
Slope is 12/6=2
y+6=2(x+4)
y=2x-2
Answer:
10 SENIORS
Step-by-step explanation:
x=# of seniors
y=# of juniors
x+y=23, x=2y-7
- plug the value of x in the second equation into the first
- (2y-7)+y=23
- Remove parentheses
- 2y-7+y=23
- Combine like terms
- 3y-7=23
- Add 7 to BOTH sides
- 3y=30
- divide BOTH sides by 3
- 3y/3=30/3
- y=10
- There are 10 juniors in the class
- FINAL STEPS
- Plug y (which is 10) into the first equation
- x+y=23
- x+10=23
- subtract 10 from BOTH sides
- x=13
- Since X equals the number of seniors, there are 10 seniors in the class
Answer:
x ≥ 15
Step-by-step explanation:
200 + 20x ≥ 500
To solve this inequality, you must first subtract 200 from 500.
500 - 200 = 300.
Lastly, divide 300 by 20.
20x = 300
300 ÷ 20 = 15
Therefore, the value of x is 15.
Answer:
Correct choice is A
Step-by-step explanation:
The range of the function are all possible values which variable y can take.
From the given diagram you can see that the variable x changes from -4 to the 9. So the domain of the function is 
Also the variable y takes its values from -4 to 8. Thus, the range is 
