Answer:
x-5=-3
Step-by-step explanation:
|x-5|+2=5
|x-5|=5-2
|x-5|=3
x-5=±3
so x-5=-3 is a correct step.
Answer:
x = 3
Step-by-step explanation:
Given the linear equation :
1/4(x-5)+4=1/3(2x+7)-5/6
(x-5)/4 + 4 = (2x+7)/3 - 5/6
Take the lcm and sum
(x-5+16)/4 = (4x+14-5)/6
(x+11)/4 = (4x+9)/6
Cross multiply
6(x+11) = 4(4x+9)
6x + 66 = 16x + 36
Collect like terms
6x - 16x = 36 - 66
-10x = - 30
x = 30/10
x = 3
Answer:
y- intercept = - 2.5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (1, - 7) and (x₂, y₂ ) = (5, - 25)
m =
=
= - 4.5 , then
y = - 4.5x + c
To find c substitute either of the 2 points into the equation
Using (1, - 7), then
- 7 = - 4.5 + c ⇒ c = - 7 + 4.5 = - 2.5
y- intercept c = - 2.5
Answer:
16
Step-by-step explanation:
Answer:
Step-by-step explanation:
P = $ 500 ;r =8% ; n= 8
A = P* (1+r/100)^n
A= 500 * ( 1 + 8/100)⁸
= 500 * ( 1 + 0.08)⁸ = 500 * 1.08⁸
=500*1.85
= $ 925.45