Answer:
f-1 (x) = 2x + 2
Step-by-step explanation:
f(x) = x/2 -1
y = x/2 -1
interchanging the position of x and y
x= (y-2)/2
2x =y - 2
y = 2x + 2
f^-1 (x) = 2x + 2
To solve this problem, we are going to use the percent proportion, a/b = p/100, where a is the part of a number b, the whole, and p is the percentage out of 100.
When we fill in our known integers into this equation, we get
21.12 / b = 25.6 / 100
Next, to simplify this equation, we should use cross products (means - extremes products theorem). This means multiplying the numerator of one fraction and the denominator of the other fraction and setting them equal to one another.
21.12(100)=25.6(b)
When we multiply, you get
2112 = 25.6b
Finally, we divide both sides by 25.6, to get our variable b, alone, and without a coefficient.
82.5 = b
Therefore, 25.6% of the number 82.5 is 21.12.
Answer:
6 miles.
Step-by-step explanation:
Let x be the total distance hoped by Kangaroo to the lake.
We have been given that a kangaroo hopped 1/3 of the distance to the lake with her baby in her pouch.
She hopped the remaining 7040 yards without her baby in her pouch. This means that 2/3 of total distance (x) is 7040. We can represent this information in an equation as:

Let us solve for x by multiplying both sides of our equation by 3/2.



Therefore, the total distance hoped by the kangaroo is 10560 yards.
1 mile = 1760 yards
Let us convert this distance in miles by dividing 10560 yards by 1760.




Therefore, the kangaroo hoped 6 miles to the lake.
Step-by-step explanation:
Principal loan amount x Interest rate x Time (aka Number of years in term) = Interest.
8% = 0.08
3200 × 0.08 × 7 = 1,792 £
The domain, or the distance traveled, is all real numbers from 10 to 30, inclusive. the answer is A