Tip: whenever y equals a number, the line is horizontal and the slope is 0. if the number equals x, the line will be vertical and there is no slope.
Answer:
x-3
Step-by-step explanation:
f(x) = 3x-2
g(x) = 2x + 1
(f-g)(x) = 3x-2 - (2x+1)
Distribute the minus sign
=3x-2-2x-1
Combine like terms
= 3x-2x-2-1
=x-3
Answer:
24
Step-by-step explanation:
base (b) = 8
height (h) = 6
A = bh/2
= 8x6/2
= 48/2
= 24
Therefore the area is 24 square units
Answer:
Cups of water she needs to make the punch is 12.
Step-by-step explanation:
Amount of water Carson need to make fruit punch = 3 quarts
2 cups is 1 pint
2 pints is 1 quart
1 pint = 1/2 quarts
2 cups is 1 pint which is 1/2 quarts
So, 1 cup:
1 cup is 1/2 times 2 quarts
1 quart is 1 times 2 times 2 cups equals 4 cups
So, 3 quarts equals 3 times 4 cups which equals 12 cups.
So it is 12 cups.
Distribute 1/4 to all terms within the parenthesis
9 - 5 = 4
1/4(16x + 60) = (16x + 60)/4 = 4x + 15
4 = 4x + 15
Isolate the x. Note the equal sign. What you do to one side, you do to the other.
Subtract 15 from both sides
4 = 4x + 15
4 (-15) = 4x + 15 (-15)
4 - 15 = 4x
-11 = 4x
Isolate the x. Divide 4 from both sides
(-11)/4 = (4x)/4
x = -11/4
hope this helps
