Answer:
49
Step-by-step explanation:
The cost function is the sum of the costs as a function of the number of bins made.
C(x) = 4x + 18424
The profit function is the difference between the revenue and the cost functions.
P(x) = R(x) - C(x)
P(x) = -2x^2 + 478x - (4x + 18424)
P(x) = -2x^2 + 474x - 18424
The smallest break-even point is the smallest value of x at which profit is zero. Zero profit means there is no gain and no loss.
P(x) = -2x^2 + 474x - 18424 = 0
x^2 - 237x + 9212 = 0
9212 = 2^2 * 7^2 * 47
(x - 188)(x - 49) = 0
x - 188 = 0 or x - 49 = 0
x = 188 or x = 49
Answer: 49
Answer:
Yes it is
Step-by-step explanation:
When we simplify 15:12, we receive 5:3
Therefore, 5:3 is equvilaent to 15:12
Using this unit ratio, we can solve for other rations
For example, 5:3, the unit ratio, times 2 is 10:6
5 * 2 = 10
3*2 = 6
10, 6 = 10:6
The triangle QPR having inscribed triangle STU will allow the artisan to divided his glass piece into four equal triangular pieces.
In order to divide an equilateral triangle into four equal triangular glass pieces, the artisan must;
- Take S as the mid-point on PA, T as the mid-point on PR, and U as the mid-point on QR. Thus, S, T, and U are the three mid-points on each side of the equilateral triangle QPR.
- Now, by joining these mid-points S, T, and U, four equal triangles are made(as shown in the figure).
Since the triangle is equilateral,
PQ = QR = RP
Mid-point divides the lines into equal parts. So,
PS = SQ = QU = UR = RT = TP
Thus, it is proved that
ΔPST = ΔSTU = ΔTUR = ΔQSU
Learn more about 'Equilateral Triangle' here:
brainly.com/question/2855144
Answer:
56
Step-by-step explanation:
Just substitute 7 for p in the expression 9p - 7: 9(7) - 7 = 56
