Therefore, ' 19 ' smaller lawn mover and '11' larger lawn mover were sold.
Step-by-step explanation:
Given:
let the smaller lawn mover be 'x'
let the larger lawn mower be 'y'
According to condition total mover will be
................( 1 )
and total cost will be given as
................( 2 )
To Find:
x =? and y =?
Solution:
Substituting equation 1 in equation 2 we get
Substituting ' y 'in ( 1 ) we get
1. Slope intercept form. First find two points to get slope: (0,-3) and (-3,-4). Slope is
(-4 - -3)/(-3 - 0)= 1/3
Use one of the points of (x,y) to solve for b
Y=1/3x + b
-3 = 1/3(0) + b
-3 = b so your slope intercept equation is
Y = 1/3x - 3
2. Rate of Change is slope. Your points are (0,10) and (24,6) so slope is (6-10)/(24-0)
= - 1/6 which means that for each 1 unit increase in x, y decreases by 1/6.
3. Standard form is ax + by =c
Notice it is the same line as in the first graph so it's the same equation
y = 1/3x - 3
First, you cannot have fractions, so you have to multiply the equation by 3 to get rid of the 1/3.
3y= x - 9. Now move the x over:
-x + 3y = - 9. Now get rid of the negative value on x by multiplying the entire equation by -1:
x - 3y = 9
earnings * 20 percent = 17
earnings * .2 = 17
divide by .2 on each side
earnings = 17/.2
earnings = $85.00
Answer:
Step-by-step explanation:
because it's an absolute value inequality, there are two inequalities to solve
3x+3 ≤ 9 and 3x+3 ≥ -9, now we solve them separately
x ≤ 3 and x ≥ -4, which is -4 ≤ x ≤ 3
