Answer:
x ∈ (-oo ; 3)
Step-by-step explanation:
4x - 7 < 5
4x < 5 + 7
4x < 12
x < 12 : 4
x < 3
x ∈ (-oo ; 3)
The current area is 15 x 9 = 135 square feet.
He wants to increase both the length and width by X:
Set up an equation:
(15 +x) * (9 +x) = 135 * 2
Simplify :
x^2 + 24x + 135 = 270
Subtract 270 from both sides:
x^2 + 24x - 135 = 0
Use the quadratic formula to solve for x:
-24 +/- √(24^2 - 4(1*-135) / 2*1
x = 4.7 or -28.7
The answer has to be a positive value, so x = 4.7 feet.
Answer:
both of the questions are examples of convenience samples
Step-by-step explanation:
A voluntary response would be where the people get to choose to respond to the survey. In both of these cases, teachers are specifically asking for their students opinions.
The answer would be -12+8i
The given function is:

The parents functions of g(x) will be:

The domain of g(x) and its parent function is the same i.e. Set of all Real numbers except 0.
The range of g(x) and its parent function is the same i.e. set of all real numbers except 0.
g(x) and its parent function only decrease. They do not increase over any interval. However, the interval in which they decrease is the same for both.
So, the correct answers are:The domain of g(x) is the same as the domain of the parent function.
<span>The range is the same as the range of the parent function.
</span><span>The function g(x) decreases over the same x-values as the parent function.</span>