Answer:
1.5 feet
Step-by-step explanation:
V = base area x height
divide the two members by the base area
height = V/ base area
height = 13.5 / 9 = 1.5 feet
the answer is C. 60 degrees. The problem says that all three angles equal each other. Since all three angles in a triangle always equals 180 degrees. divide 180 by 3 and you get your answer.
...$20 each, if youre asking how much each friend should pay. 100/5 =20
Answer:
-10x⁶+20x⁵+4x⁴-46x³+16x²+12x-24
Step-by-step explanation:
(-5x³ + 2x - 4)(2x³ - 4x² + 6)
= -10x⁶ + 4x⁴ - 8x³ + 20x⁵ - 8x³ + 16x² - 30x³ + 12x - 24
= -10x⁶+20x⁵+4x⁴-46x³+16x²+12x-24
(-5x³ + 2x - 4)(2x³ - 4x² + 6)
Is same as
(2x³ - 4x² + 6)(-5x³ + 2x - 4)
Because multiplication is commutative.
a×b = b×a
Answer:
Ticket price = $170
Number of tickets sold = 850
Step-by-step explanation:
Let X= the number of $10 price reduction and the number of 50 tickets increase
Let p= price per ticket
Let q= number of tickets sold
Let R= revenue
Let p(x) = price of ticket now sold
Let q(x) = number of tickets now sold
R(x) = p(x) * q(x)
P(x) = 300 - 10x
q(x)= 200 + 50x
R(x) = (300 -10x) (200 - 50x)
= 60000 + 15000x - 2000x - 500x^2
= 60000 + 13000x - 500x^2
Differentiate with respect to x
dR(x)/dx = 13000-1000x
Put dR(x)/dx = 0
0= 13000 - 1000x
1000x = 13000
Divide through by 1000
1000x/1000 = 13000/1000
x = 13
Therefore x = 13 for $10 price reduction and 50 tickets increase
p(x) = 300 - 10x
= 300 - 10*13
= 300 - 130
= $170
q(x) = 200 + 50x
= 200 + 50*13
= 200 + 650
= 650
Maximum Revenue = p(x) * q(x)
= 170 * 850
= $144,500
For 13 reductions, we have $170 price reduction and 850 ticket sales