Answer:
Step-by-step explanation:
(a) Rename h(x) as y
(b) Solve for x :
(d) Switch x and y
(e) Rename y as the inverse function
The graphs of inverse functions are reflections of each other across the line y = x.
In the diagram, the graph of h⁻¹(x) is the reflection of h(x) about the line y = x.
Step-by-step explanation:
We will learn how to solve proportion problems. We know, the first term (1st) and the fourth term (4th) of a proportion are called extreme terms or extremes, and the second term (2nd) and the third term (3rd) are called middle terms or means.
Therefore, in a proportion, product of extremes = product of middle terms
example
1. Check whether the two ratios form a proportion or not:
(i) 6 : 8 and 12 : 16; (ii) 24 : 28 and 36 : 48
Solution:
(i) 6 : 8 and 12 : 16
6 : 8 = 6/8 = 3/4
12 : 16 = 12/16 = 3/4
Thus, the ratios 6 : 8 and 12 : 16 are equal.
Therefore, they form a proportion.
Answer:
0.20 or 20%
Step-by-step explanation:
Brown shoes = 3
Black shoes = 2
Total shoes = 5
Brown pants = 1
Black shoes = 3
Total pants = 4
Brown socks =4
Black socks = 6
Red socks = 2
Total socks = 12
In order to choose shoes, pants and socks of the same color, Teddy can go either all black or all brown. For all black, there is a 2 in 5 chance he gets the right shoes, 3 in 4 chance for pants and 6 in 12 for socks. For all brown, there is a 3 in 5 chance he gets the right shoes, 1 in 4 chance for pants and 4 in 12 for socks.
The probability that he chooses shoes, pants, and socks of the same color is 0.20 or 20%.
Answer:
The answer to your question is the last option
Step-by-step explanation:
Process
1.- To calculate the rate of change, calculate slope
Formula
m = (y2 - y1) / (x2 - x1)
x1 = 1 y1 = 1200
x2 = 2 y2 = 2400
2.- Substitution
m = (2400 - 1200) / (2 - 1)
3.- Simplification
m = 1200 / 1
4.- Result
m = 1200 meters / minute
Actually, 40 is divisible by 7. Any number is divisible by 7. However, 7 does not go into forty evenly. Your quotient would have a remainder since 7 cannot go into 40 an even number of times.
7 goes into 40 5 times evenly (7x5=35) 40-35 is five, so 40 divided by 7 is 5 (remainder 5)
~theLocoCoco
