Answer:
the first question: y = x -10
the second question: y = 1/2 x - 3/2
Step-by-step explanation:
for the second equation:
1. x = 2y + 3
2. x - 3 = 2y
3. divide 2 on the whole equation
4. 1/2x - 3/2 = y
4. put it in slope-intercept form: y = 1/2x - 3/2
Answer:
The Answer Is On The Image
Step-by-step explanation:
Thanks.............
Starting salary offered by Company A = $28000
Amount of raise per year given by Company A per year = $3000
Starting salary offered by Company B =$36000
Amount of raise per year given by Company B = $2000
Let us assume the number of years after which the salary offered by Company A will be the same as Company B = x
Then
28000 + 3000x = 36000 + 2000x
3000x - 2000x = 36000 - 28000
1000x = 8000
x = 8000/1000
= 8 years
So from the above deduction we can conclude that after 8 years the salary of Company A and Company B will become equal.
More information's are also provided for the second part of the question.
Starting salary offered by Company C = $18000
Let us assume the amount of raise per year given by Company C = z dollars
Number of years in which the salaries of Company C will become equal to the salaries of Company A and B = 8 years
Then
18000 + 8z = 28000 + (3000 * 8)
18000 + 8z = 28000 + 24000
18000 + 8z = 52000
8z = 52000 - 18000
8z = 34000
z = 34000/8
= 4250 dollars
From the above deduction we can conclude that the raise given by Company C should be $4250.
Answer:
Length and Width = 10ft
Height = 5ft
Surface Area = 300 square feet
Step-by-step explanation:
Given
-- Volume
Let:
Volume (V) is calculated as:
Substitute 500 for V
Make H the subject
The tank has no top. So, the surface area (S) is:
Substitute 500/LW for H
Differentiate with respect to L and to W
and
Equate both to get the critical value
and
and
and
and
Make L the subject in
Substitute for L in
Cross Multiply
Divide both sides by 1000
Take cube roots of both sides
Substitute 10 for W in
Recall that:
So, the dimensions are:
and
The surface area is: