Answer:
60 mph
Step-by-step explanation:
Ms. Gayle drives 10 miles in just 10 minutes. To find out how fast she was going we need to turn the minutes into hours. There are 60 minutes in an hour, so we multiply the miles and minutes by 60.
Ms. Gayle drives 60 miles in an hour.
This means she is traveling at 60 mph.
I hope that this helps! :)
1.) 3p
2. -b+3
3. 6x
4. -3p
5. -4v
6. r
7. 9-4r
8. 4b+2
9. 14n
10. 4b+2
11. 35n+45
12. -82v
13. 38n
14. 38x
Answer:
Step-by-step explanation:
The first equation is 
The second equation is 
When we graph these two equations, <em>they will meet at a point which represent the solution of the two equations</em>.
We can solve the two equations simultaneously to determine their point of intersection.
Let us substitute the second equation into the first equation to get;
Multiply through by 2 to get;
Group similar terms to obtain;
Simplify;
Divide both sides by 3;
Put 
into the second equation;
Therefore the graphs of the two functions intersect at (2,3)
See graph in attachment.
Answer:
Here we have the function:
S(t) = 500 - 400*t^(-1)
Then the rate of change at the value t, will be:
S'(t) = dS(t)/dt
This differentiation will be:
S'(t) = -400/t^2
Then:
a) the rate of change at t = 1 is:
S'(1) = -400/1^2 = -400
The rate of change after one year is -400
b) t = 10
S'(10) = -400/10^2 = -400/100 = -4
The rate of change after 10 years is -4, it reduced as the years passed, as expected.
