Answer:

Step-by-step explanation:

- First, lets get rid of the fraction. I did this by multiplying both sides by
.

- We want to isolate
on one side of this equation. Let's put any values with
on one side of the equation, and normal integers on the other.

- Divide both sides by
.

- If your teacher wants you to leave your final answer as an improper fraction, your final answer is this. If they want it to be a mixed number or decimal, your final answer will be:

7y-2=5y+4
+2 +2
__________
7y= 5y + 6
-5y -5y
__________
2y= 6
Y=3
3x+2=23
3x =21
x= 7
7(3) -2= 5(3)+4
19=19
x=19
3(7)+2=23
23= 23
Y=23
Adding and subtracting property
Answer:
C
Step-by-step explanation:
5 more than twice a number
(A number)=variable=x
2x+5<20
Subtract 5 from both sides
2x<15
Divide by 2
x<7.5
Any number below 7.5 (can't be 7.5 though)
Answer:
a
Step-by-step explanation:
just needed the points, sorry
Answer:
(4,1)
Step-by-step explanation:
The vertex of the quadratic can be found using -b/2a. The vertex is the point (-b/2a, f(-b/2a)).
To find the x coordinate of the quadratic, define its a,b, and c. The quadratic has a = 2, b=-16, and c=31. Then -b/2a is -(-16)/2(2) = 16/4 = 4.
To find the y-coordinate, input the x=4 and solve for y.

The vertex is (4,1).