Answer:
The prime factors are: 2 x 2 x 59
or Written in exponential form: 2^2 x 59^1
Step-by-step explanation:
236 ÷ 2 = 118 - No remainder! 2 is one of the factors
118 ÷ 2 = 59 - No remainder! 2 is one of the factors
59 ÷ 59 = 1 - No remainder! 59 is one of the factors
together we have the factors 2 x 2 x 59 = 236
R(x) = 60x - 0.2x^2
The revenue is maximum when the derivative of R(x) = 0.
dR(x)/dx = 60 - 0.4x = 0
0.4x = 60
x = 60/0.4 = 150
Therefore, maximum revenue is 60(150) - 0.2(150)^2 = 9000 - 4500 = $4,500
Maximum revenue is $4,500 and the number of units is 150 units
3x - 10 + x = 90
4x = 100
x = 25 degrees
Answer:
The answer is C=6p3 + 29p2 + 22p – 21
Step-by-step explanation:
To calculate the product, we need to multiply each member of each multiplier:
(2p + 7)(3p2 + 4p – 3) = 2p · 3p² + 2p · 4p + 2p · -3 + 7 ·3p² + 7 · 4p + 7 · -3
= 6p³ + 8p² - 6p + 21p² + 28p - 21
= 6p³ + 8p² + 21p² + 28p - 6p -21
= 6p³ + 29p² + 22p - 21
Therefore, the product of (2p + 7)(3p2 + 4p – 3) is 6p³ + 29p² + 22p -21
Answer:
UV = 14 ft and m∠TUV = 45°
ST = 20 ft, UV = 14 ft, and m∠UST = 98°
Step-by-step explanation:
