Answer:
$40,000
Step-by-step explanation:
this the workings above
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hope it helps
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0.50x+25 would be the expression form of the situation
3 + -4x = 5(x +6)
Re-order the terms:
3 + -4x = 5(6 + x)
3 + -4x = (6 . 5 + x . 5)
3 + -4x = (30 + 5x)
Solving:
3 + -4x = 30 + 5x
Solving for variable "x"
Move all terms containing "x" to the left, all the other terms to the right.
Add "-5x" to each side of the equation.
3 + -4x + -5x = 30 + 5x + -5x
Combine like terms: -4x + -5x = -9x
3 + -9x = 30 +5x + -5x
Combine like terms: 5x + -5x = 0
0 + -9x = 30 +0
3 + -9x = 30
Add "-3" to each side of the equation.
3 + -3 + -9x = 30 + 3
Combine like terms: 3 + -3 = 0
0 + -9x = 30 + -3
-9x = 30 + -3
Combine like terms: 30 + -3 = 27
-9x = 27
Divide each side by "-9".
x = -3
Simplifying:
x = -3
d. y = 3/4x + 17/4.
To write the slope-intercept form y = mx + b of a line passing through (-3, 2) and (1,5).
First, we have to calculate the slope m.
m = (y₂-y₁)/(x₂-x₁), with (x₁, y₁) = (-3, 2) and (x₂, y₂) = (1, 5)
m = (5 - 2)/(1 - (-3))
m = 3/4
Second, we have to find the y-intercept.
y = mx + b, where m is the slope and b is the y-intercept.
Using one of the two ordered pair and plug it in for x and y in the equation y = mx + b.
Taking the ordered pair (1, 5):
5 = 3/4 (1) + b
5 = 3/4 + b
Solving for b
b = 5 - 3/4
b = [5(4) - 3(1)]/4
b = (20 - 3)/4
b = 17/4
Finally, write down the slope-intercept equation of the form y = mx + b, with m = 3/4 and b = 17/4:
y = mx + b
y = 3/4x + 17/4
