24x^2+32x is going to be when you distribute the 8x into the parentheses.
Answer:
a=4, b=5/2
Step-by-step explanation:
Assuming the given equation is
We expand the left hand side to get:
If this equation must have infinitely many solutions, then
Also we must have
Put a=4 to get:
Answer:
D. x < 3
Step-by-step explanation:
3x + 7 < 16
To solve, we have to isolate x.
3x + 7 < 16
Subtract 7 from both sides :
3x < 9
Divide 3 from both sides :
x < 3
Now in some cases, you could say that the inequality sign would switch, but this is only when you divide by a negative sign, so keep that in mind.
Answer:
A = 1/2 B H area = 1/2 base X height
B = 2 A / H = 2 * 99 / 12 = 16.5 cm
dA / d t = 1/2 * (B dH / dt + H dB / dt)
dB / dt = (2 dA / dt - B dH / dt) / H
dB / dt = (2 * 1.5 cm^2 / min - 16.5 cm * 2 cm / min) / 12 cm
dB / dt = (3 - 33) / 12 cm/min = -2.5 cm/min
Let x = your number.
6x = x^2 - 27. Subtract 6x from each side.
0 = x^2 - 6x - 27. Factor
0 = (x-9) (x+3). Set each term equal to zero
(x+3) = 0. Subtract 3 from each side.
x = -3. This is the negative solution.
(x-9) = 0. Add 9 to each side.
x = 9. This is the positive solution.
