In the first step when the student did -2x-3 they didn’t make the sign positive. It should be 4=-2+6, not 4=-2-6
Answer:
m < 
Rearrange:
Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
-7+5*(9*m-7)-(9*m-2-9)<0
Step by step solution :
STEP 1
:
Equation at the end of step 1
(-7 + 5 • (9m - 7)) - (9m - 11) < 0
STEP 2
:
Equation at the end of step 2
36m - 31 < 0
STEP 3:
3.1 Divide both sides by 36
m-(31/36) < 0
Solve Basic Inequality :
3.2 Add 31/36 to both sides
m < 
Answer:
1 1/2 quarts per hour
Step-by-step explanation:
To do this you would divide 3/4 by 1/2 to do divide you flip 1/2 to 2/1 then multiply.
3/4*2/1=6/4 which is also equal to 1.5 quarts of paint per hour.
To find the y intercept of AB, first find the slope of AB: m=(1-(-1))/(2-14)=-1/6
the equation of line AB is y=-(1/6)x+b
use either of the given two points to find out b: 1=(-1/6)*2+b => b=4/3
BC is perpendicular to AB, so the slope of BC is the negative reciprocal of the slope of AB, therefore, the slope of BC is 6
Equation of BC is y=6x+b
find out b by using the coordinates of point B: 1=6*2+b => b=-11
the equation of BC is: y=6x-11
the x coordinate of point C: 13=6*x -11 =>x=4
Please double check my calculation.
