Answer:
Option D.
Step-by-step explanation:
To find the inversion of a function follow the following procedure
1) Replace x with y in the function and clear y
------> 
2) Check. The range of f(x) is the domain of 
.
So if f(a) = b, this means that 
= a.
Is fulfilled. Therefore 
is the inverse of 
Answer: 30 pounds of coffee beans worth $10.50 per pound was used.
20 pounds of coffee beans worth $13.00 per pound was used.
Step-by-step explanation:
Let x represent the number of coffee beans worth $10.50 per pound that should be mixed.
Let y represent the number of coffee beans worth $13.00 per pound that should be mixed.
50 pounds of beans worth $11.50 per pound is to be made. The total cost of the mixture would be
50 × 11.5 = 575
This means that
10.5x + 13y = 575 - - - - - - - 1
The total number of pounds of each type of coffee used is 50. This means that
x + y = 50
Substituting x = 50 - y into equation 1, it becomes.
10.5(50 - y) + 13y = 575
525 - 10.5y + 13y = 575
- 10.5y + 13y = 575 - 525
2.5y = 50
y = 50/2.5 = 20
x = 50 - 20= 30
Answer:
x=8
Step-by-step explanation:
(X^2-8)=7x
Answer:
12
Step-by-step explanation:
2/3 x + x = 20
2/3 x + 3/3x = 20
5/3 x = 20 ... times 3/5 both sides
x = 12
check: 2/3 x 12 + 12 = 8 + 12 = 20
Answer: 106.76yards
Step-by-step explanation:
Circumference of a circle is given as:
= 2πr
where,
π = 3.14
r = 17 yards
Circumference = 2πr
= 2 × 3.14 × 17.
= 106.76yards
Therefore, the circumference of the circle will be 106.76yards
