Answer:
6400
Step-by-step explanation:
Given the profit function ;
P(c) = –20c2 + 320c + 5,120
The maximum value is given by :
f(h) ; where, h = - b /2a
From P(C) ; a = - 20 ; b = 320
h = - b / 2a = - 320 / 2(-20) = - 320 / 40 = 8
c = h
P(8) = –20(8)² + 320(8) + 5,120
P(8) = - 1280 + 2560 + 5120
= 6400
Answer: (x+2)*(x-4)*(x+21) = 0 has "many" solutions
Step-by-step explanation: (x+2) = 0 only has one solution.
(x+2)*(x-4) = 0 has two solutions, -2 and 4
(x+2)*(x-4)*(x+21) = 0 has three solutions, -2, 4, and -21, etc
If "many" means more than three, then add another (x+XX) term. A quadratic equation generally has two solutions.
Answer:
x^3 + 1/x^3 = 488
Step-by-step explanation:
- x^2 + 1/x^2 = 62
- x^2 + 1/x^2 + 2 = 64
- ( adding 2 in both sides )
- (x + 1/x ) ^2 = 64
- x + 1/x = 8
now,
- ( x+ 1/x ) ^ 3 = 512
- x^3 + 1/x^3 + 3 × x × 1/x ( x + 1/x )
- x^3 + 1/x^3 + 3 ( 8 )
- ( since x + 1/x = 8 )
- x^3 + 1/x^3 + 24 = 512
- x^3 + 1/x^3 = 488
hence, we got x^3 + 1/x^3 = 488
Decide whether the two figures are similar. . Triangle A: (1,4), (3, 5), (4,2) Triangle B: (0, 5), (4,7), (6, 1)
puteri [66]
Answer:
Step-by-step explanation:
triangle A sides
√((5 - 4)² + (3 - 1)²) = √5
√((5 - 2)² + (3 - 4)²) = √10
√((4 - 1)² + (2 - 4)²) = √13
triangle B sides
√((7 - 5)² + (4 - 0)²) = √20 = 2√5
√((7 - 1)² + (4 - 6)²) = √40 = 2√10
√((6 - 0)² + (1 - 5)²) = √52 = 2√13
As each leg of B is twice a leg of A, they are similar
