X^2-12x+7=0 move constant to other side
x^2-12x=-7 add the square of half the linear coefficient to both sides...(12/2)^2=36
x^2-12x+36=29 now the left side is a perfect square...
(x-6)^2=29 so if
f(x)=(x-a)^2+b then
f(x)=(x-6)^2-29
So a=6
Answer:
No. The last ratio is not written with the values in the same position as the others. It should be 50
10
to be consistent. If the ratio were written this way, then the ratios would all be equivalent . The relationship is proportional.
Step-by-step explanation:
I just did this!
Answer:
Step-by-step explanation:
Given that:
- x represents the number of months of ownership; and
- y represents the total paid for the car after ‘x' months.
<u>First Option (Leasing)</u>
250x - y + 4000 = 0
Expressing the equation in the Slope-Intercept Form y=mx+b, we have:
y=250x+4000
<u>Second Option (Financing)</u>
$400 for 0 months of ownership, (0,400), and $4400 for 10 months of ownership, (10, 4400).
First, we determine the slope of the line joining (0,400) and (10,4400)

We have:
y=400x+b
When y=400, x=0
400=400(0)+b
b=400
Therefore, the Slope-Intercept Form of the second option is:
y=400x+400
<u>Significance</u>
- In the first option, there is a down payment of $4000 and a monthly payment of $250.
- In the second option, there is a down payment of $400 and a monthly payment of $400.
<u>Part B</u>
We notice from the graph that after 24 months, the cost for leasing and financing becomes the same ($10,000). Therefore, a consumer will be better off financing since the downpayment for leasing is higher.
<u>i.e </u>
- When x=0, y=$4000 for leasing
- When x=0, y=$400 for financing