<u>Answer:</u>
An equation that relates the speeds of the two legs of the trip

<u>Explanation:</u>
Given, we have to use x to represent the speed on the second leg
Speed on first leg when increasing your speed by 40 mph will be (x-40)
Distance is given as 640 miles and time is calculated as

According to the question, increasing speed saved four hours
Therefore, the equation that relates the speeds of the two legs of the trip will be

Answer:
-21 =x
Step-by-step explanation:
3x – 10 = 5x + 32
Subtract 3x from each side
3x-3x – 10 = 5x-3x + 32
-10 =2x +32
Subtract 32 from each side
-10 -32 = 2x+32-32
-42 = 2x
Divide each side by 2
-42/2 = 2x/2
-21 =x
Answer:
Option B is right
Step-by-step explanation:
Given that in the graduating class of a certain college, 48 percent of the students are male and 52 percent are female. In this class 40 percent of the male and 20 percent of the female students are 25 years old or older.
Males Females
48% 52%
25 or more
age 40% 20%
One student in the class is randomly selected,
to find the probability that he or she will be less than 25 years old
= Prob (male and less than 25 years old)+Prob (female and less than 25 years old)
(since mutually exclusive and exhaustive)
= 
After rounding off to 1 one decimal
we get 0.7
Option B is right
Answer:
The answer would be D
Step-by-step explanation:
This is a piecewise function, meaning that it is split into two parts. The right side is an exponential and that part is greater than one, the left side is a line less than or equal to one. The only equation that matches the criteria for that is D.
First, replace f(x) with y.
So we have now:
y = 3x + 1
Next, switch the x and y.
We get:
x = 3y + 1
Finally, solve for y.
3y = x - 1
y = x/3 - 1/3
So, we have f(x) = 3x + 1, and the inverse of this function is: