-1 < c + 2 < 3....subtract 2 from all sections
-1 - 2 < c + 2 - 2 < 3 - 2...simplify
-3 < c < 1
==============================
32 > 16 - 4g > 12....subtract 16 from all sections
32 - 16 > 16 - 16 - 4g > 12 - 16....simplify
16 > -4g > -4 ...now divide all sections by -4, and change inequality signs
16/-4 < (-4/-4)g < -4/-4...simplify
-4 < g < 1
============================
6y + 1 > = 10
6y > = 10 - 1
6y > = 9
y > = 9/6 which reduces to 3/2 or 1 1/2
-3/2y > = 9 ....multiply both sides by -2/3, cancelling the -3/2 on the left...and change the inequality sign
y < = 9 * -2/3
y < = -18/3 which reduces to - 6
so y > = 9/6(or 1 1/2) or y < = -6
Answer: OPTION D.
Step-by-step explanation:
The vertex form of a quadratic function is:
Where (h, k) is the vertex of the parabola and "a" is the coefficient of the squared in the parabola's equation.
We know that the vertex of this parabola is at (5,5) and we also know that when the x-value is 6, the y-value is -1.
Then we can substitute values into 
and solve for "a". This is:
9514 1404 393
Answer:
90 miles
Step-by-step explanation:
Let d represent the distance to Grandma's house.
The speed going was ...
speed = distance/time
speed = d/2
The speed coming home was ...
speed = d/2.25
The difference of these speeds is 5 miles per hour:
d/2 -d/2.25 = 5
2.25d -2d = 5(4.50) . . . . . multiply by 4.50
0.25d = 22.5 . . . . . . . . . . .simplify
d = 90 . . . . . . . . . . . . . . . . multiply by 4
Grandma's house is 90 miles away.
Answer:
18 1/8
Step-by-step explanation:
Just simple fraction addition.
17 1/4+ 7/8
Make common denominator
17 2/8+7/8
17 9/8 which is 18 1/8
