Answer:
x = 3/4 + (3 sqrt(5))/4 or x = 3/4 - (3 sqrt(5))/4
Step-by-step explanation:
Solve for x over the real numbers:
8 x^2 - 12 x - 23 = -5
Divide both sides by 8:
x^2 - (3 x)/2 - 23/8 = -5/8
Add 23/8 to both sides:
x^2 - (3 x)/2 = 9/4
Add 9/16 to both sides:
x^2 - (3 x)/2 + 9/16 = 45/16
Write the left hand side as a square:
(x - 3/4)^2 = 45/16
Take the square root of both sides:
x - 3/4 = (3 sqrt(5))/4 or x - 3/4 = -(3 sqrt(5))/4
Add 3/4 to both sides:
x = 3/4 + (3 sqrt(5))/4 or x - 3/4 = -(3 sqrt(5))/4
Add 3/4 to both sides:
Answer: x = 3/4 + (3 sqrt(5))/4 or x = 3/4 - (3 sqrt(5))/4
V = 576 pi cm^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h where r is the radius and h is the height
V = pi * (6)^2 * 16
V = pi *36*16
V = 576 pi cm^3
Answer: 2 years
Step-by-step explanation:
If Interest= Principal x rate x time/100; then time is (100 × Interest)/(Principal × Rate)
From the question, old Principal is 5600, new principal =6720, the difference is the interest accrued.
Interest = 6720 - 5600 = Rs 1120
Rate = 8% = 8 ÷ 100 = 0.08
Time = x
Then, slot the values into the formula
Time= 100 x 1120 / 6720 x 8
= 112000/53760
=2.08
Time= 2years
I hope this helps
Answer:
3?
Step-by-step explanation:
3 is the slope intercept I believe
