SOLUTION: 1. What is the value of x in the equation 3(2x+1)=-15(5x+6)? 2. What is the slope and y-intercept of the equation -2x+3y=-3? 3. What is the constant rate of change for the two qu

Algebra ->  Linear-equations -> SOLUTION: 1. What is the value of x in the equation 3(2x+1)=-15(5x+6)? 2. What is the slope and y-intercept of the equation -2x+3y=-3? 3. What is the constant rate of change for the two qu      Log On


   

Question 949421: 1. What is the value of x in the equation 3(2x+1)=-15(5x+6)?
2. What is the slope and y-intercept of the equation -2x+3y=-3?
3. What is the constant rate of change for the two quantities of 10 pages read in 15 minutes?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
note:
A‭ ‬linear function is a function whose graph produces a line.‭ ‬
Linear functions can always be written in the form
y=mx%2Bb called slope-intercept form
where b%26%238237%3B+‬is the initial or starting value of the function‭ (‬when input,‭x=+%26%238236%3B0‭) or y-intercept‬,‭ ‬
and m+is the constant rate of change of the function or a slope.‭

1. What is the value of x in the equation 3%282x%2B1%29=-15%285x%2B6%29?
3%282x%2B1%29=-15%285x%2B6%29...first reduce, divide both sides by 3
%282x%2B1%29=-5%285x%2B6%29....now multiply
2x%2B1=-25x-30......add 25x to the both sides
2x%2B25x%2B1=-25x%2B25x-30
27x%2B1=-30
27x%2B1-1=-30-1
27x+=-31
highlight%28x+=-31%2F27%29

2. What is the slope and y-intercept of the equation -2x%2B3y=-3?
-2x%2B3y=-3...first write it in slope-intercept form y=mx%2Bb
3y=2x-3
y=2x%2F3-3%2F3
y=%282%2F3%29x-1
so, b=-1%26%238237%3B+=> if x=0 then y=-1 and y-intercept is at the point (0,-1)
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+%282%2F3%29x-1%29+

3. What is the constant rate of change for the two quantities of 10 pages read in 15 minutes?
the two quantities of 10 pages is 20 pages
if read in 15 minutes, then the constant rate of change is
20pg%2F15min=4pg%2F3min=%284%2F3%29%28pg%2Fmin%29=1.333%28pg%2Fmin%29 or 11%2F3%28pg%2Fmin%29