Answer: OPTION C.
Step-by-step explanation:
1. The domain of the function given in the problem are all those values for which the function that is in the denomiantor is different from zero, because the division by 0 is not allowed.
2. You can make the denominator equal to zero and solve it, as you can see below:
3. Therefore, the domain is:
(-∞,0)U(0,1)U(1,∞)
The greatest area he can fence is 64 ft².
In order to maximize area and minimize perimeter, we use dimensions that are as close to equivalent as possible. 32 feet of fence for 4 sides gives us 8 feet of fence per side. We would have a square whose side length is 8; the area would be 8*8 = 64.
Answer:
x = 48
Step-by-step explanation:
If the two angles are supplementary then their sum must be 180 degrees
x + 34 + 2x + 2 = 180
3x + 36 = 180 subtract 36 from both sides
3x = 144 divide both sides by 3
x = 48
Answer:
p = 2 and q = 14
Step-by-step explanation:
Evaluate f(g(x)) by substituting x = g(x) into f(x), that is
f(px + 4)
= 3(px + 4) + p = 3px + 12 + p
f(g(x)) = 3px + 12 + p and f(g(x)) = 6x + q
Equating the 2 expressions gives
3px + 12 + p = 6x + q
Compare the coefficients of like terms and the constant term
For the 2 expressions to be equal then
3p = 6 ⇒ p = 2 , and
q = 12 + p = 12 + 2 = 14
