Answer:
See below.
Step-by-step explanation:
Values are excluded if they make the denominator zero, so one rational expression could be:
(x^2 - 9) / (x + 4)(x + 7)
- when x = -4 or -7 then the denominator is zero so the values of the function is undefined for these values.
Start with an equation.
Nine less... so -9
3 times a number = 3x
Greater than 40 is >40
So put together is 3x-9>40
When solving I imaging the greater than sign as an equal sign. Less confusing.
3x-9=40
3x=49
x>49/3
Answer:
10 miles per hour.
Step-by-step explanation:
Let x represent athlete's walking speed.
We have been given that her jogging rate is 5 mph faster than her walking rate, so athlete's jogging speed would be
miles per hour.

10 minutes = 1/6 hour.
20 minutes = 1/3 hour
While walking, we will get 

While jogging, we will get 

Since athlete is covering same distance while walking and jogging, so we can equate both expressions as:

Cross multiply:




Therefore, athlete's walking speed is 5 miles per hour.
Jogging speed: 
Therefore, athlete's jogging speed is 10 miles per hour.
Answer:
13
Step-by-step explanation:
17 - 2/3(6)
17 - 4
13
sub in 6 for x to find g(6) instead of g(x)
-6, all of them are the absolute value of 6 or just 6, -6 isn't equivalent to 6.