Answer: 1/2
Step-by-step explanation:
The question is for us to calculate the amount of juice that's left.
We are told that Luna mixes 3/4 of orange juice and 3/8 of cranberry juice. The amount of juice mixed will be:
= 3/4 + 3/8
= 6/8 + 3/8
= 9/8
= 1 1/8
We are then told that she gave Mags 5/8 cup of juice. The amount of juice that's then left will be:
= 1 1/8 - 5/8
= 4/8
= 1/2
1/2 cup of juice will be left
8.49 \2 = 4.245
So your answer would be 4.245
Function:
f(x) = 2 cos x +1
Note: The values of x should be given in radians.
Therefore;
Substituting for x = 1.5 radians
f(1.5) = 2 Cos 1.5 + 1 ≈ 1.1415
Answer:
Here we have two concepts.
First, when we have that something, let's call it A, is an x% of another thing, let's call it B.
We have that:
A = (x%/100%)*B
In this case g(x) is 60% of f(x), then:
g(x) = (60%/100%)*f(x) = 0.6*f(x)
And this is called a vertical dilation.
When we have a function f(x), a vertical dilation of scale factor A is written as:
g(x) = A*f(x)
So in this case we have A = 0.6
Then we can write this as:
"g(x) is a vertical dilation of scale factor 0.6 of the function f(x)"
And to solve completely, let's write g(x):
g(x) = 0.6*f(x) = 0.6*(9*x + 5) = 5.4*x + 3
g(x) = 5.4*x + 3
