Answer:
73.25
Step-by-step explanation:
Add all numbers and divide by 4 to get the average grade.
Let the price of coffee be x and the price of latte be y.
Thus forming the equations given the information we shall have:
2x+y=10.50
y=10.50-2x.......i
3x+2y=17......ii
plugging i in ii we get:
3x+2(10.50-2x)=17
3x+21-4x=17
3x-4x=17-21
-x=-4
thus
x=4
Thus the cost of coffee is $4
thus the cost of latte will be:
y=10.50-2(4)
y=10.50-8
y=2.5
Price of latte is $2.5
No, the correct answer is A) x=2y
Answer:
Not inverse between each other
Step-by-step explanation:
To determine if two mathematical functions are inverse between each other, you should verify that: for function f(x) and h(x)
- f(h(x)) = x for all and each x within h domain
- h(f(x)) = x for all and each x within f domain
So we should verify that we will obtain the same result when doing f(h(x)) and h(f(x)), if so, then both function are inverse between each other
f(x) = (2-1)/2x h(x) = -2x + 4
f(h(x)) = (2-1)/2(-2x+4) h(f(x)) = -2[(2-1)/2x] + 4
f(h(x)) = (2-1)/-4x+8 h(f(x)) = [(-4+2)/2x] + 4
f(h(x)) = (2-1)/8-4x h(f(x)) = (-4+2+8x)/2x
h(f(x)) = (8x-2)/2x
As we finally found that f(h(x)) ≠ h(f(x)), so both functions are not inverse between each other
The factors of 40 from that list are 4, 8. and 80. A factor needs to be able to be divided by 40.