Answer:
(4x + 7) or
(16x^2 - 28x + 49)
Step-by-step explanation:
This is the sum of cubes. If you have choices you really should list them because often the way we write answers is not in agreement with what you are given.
Step One
Factor 64x^3 and 343 into prime factors.
64x^3: 4*4*4*x * x *x
343: 7 * 7 * 7
Step Two
Factor using the sum of cubes.
(4x + 7)([4x]^2 - 7*4x + 7^2)
(4x + 7)(16x^2 - 28x + 49)
<span>(1 + cos² 3θ) / (sin² 3θ) = 2 csc² 3θ - 1
Starting with the left: Note that cos²θ + </span><span>sin²θ = 1.
In the same way: </span><span>cos²3θ + <span>sin²3θ = 1
</span></span>Therefore cos²3θ = 1 - <span>sin²3θ
</span> From the top: (1 + cos² 3θ) = 1 + 1 - sin²3θ = 2 - <span>sin²3θ
</span>
(1 + cos² 3θ) / (sin² 3θ) = (<span>2 - sin²3θ) / (sin² 3θ) = 2/</span><span>sin² 3θ - </span><span>sin²3θ/</span>sin²3θ
= 2/<span>sin² 3θ - 1; But 1/</span><span>sinθ = csc</span><span>θ, Similarly </span>1/sin3θ = csc3θ
= 2 *(1/sin<span>3θ)² - 1</span>
= 2csc²3θ - 1. Therefore LHS = RHS. QED.
Answer:
Step-by-step explanation:
The number of sandwiches sold: 73
The cost to make one sandwich: S
The profit the band earns from one sandwich: 0.2S
The amount of money that the band recieves for selling one sandwich:
S + 0.2S
1) 400+40+3
2) 90+2
3) 100+1
