Revenue = price * quantity of backpacks
quantity of backpacks = -2p + 50
For p = 9: -2(9) + 50 = -18 + 50 = 32
thus, revenue = 9 * 32 = 288
For p = 12: -2(12) + 50 = -24 + 50 = 26
therefore, revenue = 12 * 26 = 312
For p = 12.50: -2(12.50) + 50 = -25 + 50 = 25
thus, revenue = 12.50 * 25 = 312.50 MAXIMIZES REVENUE
For p = 15: -2(15) + 50 = -30 + 50 = 20
so, revenue = 15 * 20 = 300
Answer: The coordinates of point T are (13, -6).
Step-by-step explanation: Given that point S is the midpoint of segment RT, with coordinates R(-9, 4) and S(2, -1),
we need to determine the coordinates of point T.
The midpoint formula states that the midpoint between points (a, b) and (c, d) is ((a + c)/2, (b + d)/2).
Let T be (h, k). According to the problem:


Solving these equations yields T at (13, -6).
So, the required coordinates for point T are (13, -6).
We recognize that two angles, ∠UVW and ∠XYZ, are complementary, which means their sum is 90°.
Their measures are given as:
∠UVW = x - 10
∠XYZ = 4x - 10
Adding these, we have:
(x - 10) + (4x - 10) = 90
Simplifying:
5x - 20 = 90
Adding 20 to both sides:
5x = 110
Dividing by 5:
x = 22
Substituting back:
∠UVW = 22 - 10 = 12°
∠XYZ = 4(22) - 10 = 78°
Therefore, the values are:
x = 22°
∠UVW = 12°
∠XYZ = 78°
Answer:
50
Step-by-step clarification:
The equation that represents the total cost is in the format of a linear equation y = mx + c
Here, m signifies the slope of the line
c indicates the y-intercept, showing where the line intersects the y-axis
When the equation y = 150x + 50 is plotted, it will form a linear graph where the y-intercept corresponds to 50, as observed in the standard form of a linear equation.