Answer:
p= 2.5
q= 7
Step-by-step explanation:
The lines should overlap to have infinite solutions, slopes should be same and y-intercepts should be same.
Equations in slope- intercept form:
6x-(2p-3)y-2q-3=0 ⇒ (2p-3)y= 6x -2q-3 ⇒ y= 6/(2p-3)x -(2q+3)/(2p-3)
12x-( 2p-1)y-5q+1=0 ⇒ (2p-1)y= 12x - 5q+1 ⇒ y=12/(2p-1)x - (5q-1)/(2p-1)
Slopes equal:
6/(2p-3)= 12/(2p-1)
6(2p-1)= 12(2p-3)
12p- 6= 24p - 36
12p= 30
p= 30/12
p= 2.5
y-intercepts equal:
(2q+3)/(2p-3)= (5q-1)/(2p-1)
(2q+3)/(2*2.5-3)= (5q-1)/(2*2.5-1)
(2q+3)/2= (5q-1)/4
4(2q+3)= 2(5q-1)
8q+12= 10q- 2
2q= 14
q= 7
Y = -x - 3 bc the y intercept is -3 and the graph goes down by negative one
We start with the sale at $5,000. The growth is: p = 10% = 0.1; r = 1 + 0.1 = 1.1
The equation is:
f ( t ) = 5,000 * ( 1.1 )^t
where t it the time in months.
f ( 6 ) = 5,000 * ( 1.1 )^6 =
= 5,000 * 1.77156 = $8,857.80
Answer: The sale 6 months from now will be $8,857.80.
Hdjdjfhonrfn. The answer is c: -4
Carol ate 2/5 of the cake, leaving 3/5 of the cake for others ( ! ) Note that 2/5 = 10/25, and that 3/5 = 15/25.
dima at 3/5 of this 3/5, or 9/25 of the cake.
Subtract 9/25 from 10/25: The difference is 1/25.
Carol ate a share that was 1/25 larger than Dima's share.