Answer:
Step-by-step explanation:
12=3x-2y
2y+12=3x
2y=3x-12
y=(3x-12)/2
y=mx+b
To be parallel to the line above our line must have the same slope or m. The above line has a slope of 3/2 or 1.5 so the parallel line will be
y=1.5x+b, using point (7,10) we can solve for the y intercept or b
10=1.5(7)+b
10=10.5+b
b=-0.5 so our line is
y=1.5x-0.5
9514 1404 393
Answer:
$1904.76
Step-by-step explanation:
The interest formula is ...
I = Prt . . . . interest on principal P at rate r for t years
Solving for P, we find ...
P = I/(rt) = 200/(0.07·1.5) = 200/0.105 ≈ 1904.76
The principal amount was $1904.76.
Answer:
Step-by-step explanation:
Given
Let the roots be and
So:
Required
Determine the relationship between d, c and p
Divide through by d
A quadratic equation has the form:
So:
So, we have:
-- (1)
and
-- (2)
Make the subject in (1)
Substitute in (2)
Multiply both sides by d
Cross Multiply
or
Hence, the relationship between d, c and p is:
Direct variation mean x =ky so y = x/k
(2,14) mean y = kx so 14 = k*2 so 14 = 7*2 so 14 = 14
(4,28) mean y = kx so 28 = k*4 so 28 = 7*4 so 28 = 28
from these result that the 3rd choice is right sure