45 is the answerrrrrrrrrrrrrr!!!!
<em>The function uses W as the variable but the options show only x's as the variable, so I'm asumming W in the answer</em>
Answer:
0 < W < 50
Correct option: A
Step-by-step explanation:
<u>Domain of functions</u>
Some functions have restricted values of the independent variable x. It can be due to mathematical restrictions, like dividing by 0 or taking the square root of a negative number, of it can be due to practical conditions of the situation being modeled.
In this case, the area of a rectangle is given by the quadratic function.

Since the area of a rectangle cannot be negative (and should be positive, though it could be zero), the practical domain of A is determined when

Taking common factor W

Since W must be positive W>0

Or equivalently


The total interval is

Correct option: A
Please note: The real restriction should be

if we allowed the area to be positive, but I'm providing the most possible correct available option
Answer:
299.99 miles
Step-by-step explanation:
Since the plane traveled due west,
The total angle is 49.17 + 90
Represent that with θ
θ = 49.17 + 90
θ = 139.17.
Represent the sides as
A = 170
B = 150
C = unknown
Since, θ is opposite side C, side C can be calculated using cosine formula as;
C² = A² + B² - 2ABCosθ
Substitute values for A, B and θ
C² = 150² + 170² - 2 * 150 * 170 * Cos 139.17
C² = 22500 + 28900 - 51000 * Cos 139.17
C² = 51400 - 51000 (−0.7567)
C² = 51400 + 38,591.7
C² = 89,991.7
Take Square Root of both sides
C = 299.9861663477167
C = 299.99 miles (Approximated)
Hence, the distance between the plane and the airport is 299.99 miles
Answer:
D. Their intersection point is the only point where the same input into both functions yields the same output.
Step-by-step explanation:
The intersection point of 2 graphed lines represents the solution.
At this point, for both lines, there is the same x value (input) and the same y value (output) because both of the lines have that point in common.
So, if those 2 lines were to be graphed, the intersection point would represent the only point with the same input and output for both functions.
D is the correct answer.