The graph that best represent the relationship between time and cost is option A as it is a proportional graph
<h3>How to know the graph that represent the relationship between time and number of team?</h3>
Each week 6 teams register to participate.
Therefore, for every week 6 team register to participate in the competition.
This simply implies as time increases , the number of participant in the competition also increase.
Therefore, the equation that can be use to represent this situation is as follows:
y = 6x
where
- y = number of team registered
- x = time in weeks.
Hence, the graph that best represent the relationship between time and cost is option A as it is a proportional graph. The registered team increases as the time in weeks increase.
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Answer:
-3
Step-by-step explanation:
-20-15+30+2
-35+32
-3
Answer:4
Step-by-step explanation:
Solve for x, which can be done by moving x to the other side.
2(x-5)^2+8
So, x = 5
The y value is the number at the end and we can see that it is positive 8.
y = 8
Write it out as a coordinate pair and you would get (5,8) or answer choice D
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.
