Answer:
45 dollars
Step-by-step explanation:
Hello!
To write this equation we will use c to represent the total cost, and g to represent however many games you download.
c=12.49+0.99g
The constant rate is 12.49, that will never increase or change in our equation.
Depending on how many games you download, that will be the rate that affects our total cost.
If you only purchase one game, you only spend $13.48. Where as if you buy 10 games, you spend $22.39.
Answer:
s = 150f
Step-by-step explanation:
A tropical punch recipe calls for 300 ml of sugar for every 2 flavor packages. Write an equation that shows the relationship between s, the amount of sugar in milliliters, and f, the number of flavor packages for this recipe.
The amount of sugar in milliliters = s
The amount of flavor packages for these recipe = f
The relationship between 2 variables
= y ∝ x
y = kx
k = constant of proportionality
Hence:
s ∝ f
s = kf
Note ,
s = 300
f = 2
300 = 2k
k = 300/2
k = 150
Therefore, the equation that shows the relationship between s, the amount of sugar in milliliters, and f, the number of flavor packages for this recipe is:
s = kf
s = 150f
I think we can use the identity sin x/2 = sqrt [(1 - cos x) /2]
cos x - sqrt3 sqrt ( 1 - cos x) /sqrt2 = 1
cos x - sqrt(3/2) sqrt(1 - cos x) = 1
sqrt(3/2)(sqrt(1 - cos x) = cos x - 1 Squaring both sides:-
1.5 ( 1 - cos x) = cos^2 x - 2 cos x + 1
cos^2 x - 0.5 cos x - 0.5 = 0
cos x = 1 , -0.5
giving x = 0 , 2pi, 2pi/3, 4pi/3 ( for 0 =< x <= 2pi)
because of thw square roots some of these solutions may be extraneous so we should plug these into the original equations to see if they fit.
The last 2 results dont fit so the answer is x = 0 , 2pi Answer
