Answer:
x=3
Step-by-step explanation:
Simplifying
4(4x + -3) = 36
Reorder the terms:
4(-3 + 4x) = 36
(-3 * 4 + 4x * 4) = 36
(-12 + 16x) = 36
Solving
-12 + 16x = 36
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '12' to each side of the equation.
-12 + 12 + 16x = 36 + 12
Combine like terms: -12 + 12 = 0
0 + 16x = 36 + 12
16x = 36 + 12
Combine like terms: 36 + 12 = 48
16x = 48
Divide each side by '16'.
x = 3
Simplifying
x = 3
answer:
a. scarf costs today = $6
b. scarf costs 3 days from now = $3
step-by-step explanation:
- 1/2 off means you would multiply the amount by 1/2 then subtract
a. original price of scarf: $12
12 X 1/2 = 6
12 - 6 = 6
— scarf costs today = $6
- do the same thing but this time it is a different number
b. 12 X 3/4 = 9
12 - 9 = 3
— scarf costs 3 days from now = $3
Answer:
b = (T - a - c - d) / 3
Step-by-step explanation:
Let T be the total number of points required to advance.
a, c and d are points scored in the local matches, and b is the number of points scored in the district match. If b is worth 3 times as much as the other matches, the total number of points is given by:
Isolate b in order to find out how many points they need in the district match:
They need to score (T - a - c - d)/3, in the district match in order to win.
Answer:
Step-by-step explanation:
Let the equation of the perpendicular line is,
y = mx + b
where m = slope of the line
b = y-intercept
From the graph, slope of the line passing through (0, -1) and (3, 1),
m' =
m' =
m' =
To get the slope (m) of this line we will use the property of perpendicular lines,
m × m' = (-1)
m × = -1
m =
Equation of the perpendicular line will be,
x-intercept of the line is (-3) therefore, point on the line is (-3, 0)
0 =
b =
Equation of the line will be,
Answer:
(4x+3) (4x-3)
Step-by-step explanation: