Answer:
The answer for this question is (-infinity,1.5)
Step-by-step explanation:
because when f(x) is increasing f'(x) > 0
-2x + 3 > 0
-2x > -3
x< 3/2 or 1.5
F(x) is original function and g(x) is second function
there is 4 spaces between two function
so k=4
Answer:
x = (-5+-sqrt(53))/2
Step-by-step explanation:
Apply the quadratic formula to this equation with a = 1, b = 5, and c = -7.
Plug it in then simplify.
Quadratic formula is x = (-b+-sqrt(b^2-4ac))/2a
Infinitely many solutions.
Answer:
x = 3/2 or x = -5/4
Step-by-step explanation:
Solve for x over the real numbers:
8 x^2 - 2 x - 15 = 0
Using the quadratic formula, solve for x.
x = (2 ± sqrt((-2)^2 - 4×8 (-15)))/(2×8) = (2 ± sqrt(4 + 480))/16 = (2 ± sqrt(484))/16:
x = (2 + sqrt(484))/16 or x = (2 - sqrt(484))/16
Simplify radicals.
sqrt(484) = sqrt(4×121) = sqrt(2^2×11^2) = 2×11 = 22:
x = (2 + 22)/16 or x = (2 - 22)/16
Evaluate (2 + 22)/16.
(2 + 22)/16 = 24/16 = 3/2:
x = 3/2 or x = (2 - 22)/16
Evaluate (2 - 22)/16.
(2 - 22)/16 = -20/16 = -5/4:
Answer: x = 3/2 or x = -5/4