5x - 3y = 9
5x = 9 + 3y
5x - 9 = 3y
( 5x - 9 ) / 3 = y
y = ( 5 / 3x ) - ( 9 / 3 ) ( I just split the common denominator to individual parts )
y = 5 / 3x - 3
Answer:
y intercept = - 40
Step-by-step explanation:
x 24 36 48
y -8 1 10
y = ax + b
a is the gradient (or slope).
b = y intercept.
a = (48-36) / (10-1) = 12/9
Rewrite to solve for b, which means it starts with b = ...
b = y - 12/9 * x
Substitute one point ( 24 , -8 )
b = -8 - (12/9 * 24)
b = y intercept = - 40
Answer:
<h2>x = 12</h2><h2 />
Step-by-step explanation:
2x + 5 = 3x - 7
5 + 7 = 3x - 2x
12 = x
Answer:
"number line with open circles on negative 9 and 5, shading going in the opposite directions."
Step-by-step explanation:
Your inequality doesn't include an equal sign so there will be no closed holes. It will only be open holes.
|u|>14 means that the number u has to be greater than 14 or less than -14. These numbers I describe just now all have a distance greater than 14 from 0.
So |u|>14 implies u>14 or u<-14.
But we are solving |2x+4|>14 so this implies we have 2x+4>14 or 2x+4<-14.
2x+4>14
Subtract 4 on both sides:
2x >10
Divide both sides by 2:
x >5
2x+4<-14
Subtract 4 on both sides:
2x <-18
Divide both sides by 2:
x <-9
So our solution is x>5 or x<-9.
Graphing!
~~~~~~~O O~~~~~~~~
-----------(-9)---------------------------------(5)---------------
So we shaded to the right of 5 because our inequality says x is bigger than 5.
We shaded to the left of -9 because our inequality says x is less than -9.
Answer:
54 percent
Step-by-step explanation:
23 over 50 is .54