Answer:
I believe it's the one on the bottom left
Step-by-step explanation:
I'm still taking my test so I'll come back later to tell you if it's correct.
Answer:
Step-by-step explanation:
The number of children who contribute toward the present is represented as
The cost of the present is 120 and the children split the cost evenly between them. The expression for this is
Liam has to give towards the present
Liam has 250 with him
If he gives away, then the money he has left is:
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Answer:
f(x) = 8x⁴-8x²+1
Step-by-step explanation:
I will assume that f(cos θ) = cos(4θ). Otherwise, f would not be a polynomial. lets divide cos(4θ) in an expression depending on cos(θ). We use this properties
- cos(2a) = cos²(a) - sin²(b)
- sin(2a) = 2sin(a)cos(a)
- sin²(a) = 1-cos²(a)
cos(4θ) = cos(2 * (2θ) ) = cos²(2θ) - sin²(2θ) = [ cos²(θ)-sin²(θ) ]² - [2cos(θ)sin(θ)]² = [cos²(θ) - ( 1 - cos²(θ) ) ]² - 4cos²(θ)sin²(θ) = [2cos²(θ)-1]² - 4cos²(θ) (1 - cos²(θ) ) = 4 cos⁴(θ) - 4 cos²(θ) + 1 - 4 cos²(θ) + 4 cos⁴(θ) = 8cos⁴(θ) - 8 cos²(θ) + 1
Thus f(cos(θ)) = 8 cos⁴(θ) - 8 cos²(θ) + 1, and, as a result
f(x) = 8x⁴-8x²+1.
Answer:
.15
Step-by-step explanation:
Answer:
72 guests
Step-by-step explanation:
We can add up the numbers of bottles per guest, then use that total to find the number of guests from the number of bottles.
<h3>Setup</h3>
Let g represent the number of guests at the party. Then there are ...
- g/3 bottles of coke
- g/6 bottles of sprite
- g/4 bottles of lift
The total number of bottles is ...
g(1/3 +1/6 +1/4) = 54
<h3>Solution</h3>
Multiplying by the inverse of the coefficient of g, we find its value to be ...
g(4/12 +2/12 +3/12) = g(9/12) = 54
g = 54(12/9) = 72
There are 72 guests at the party.
