Answer:
1) one solution
2) Infinitely many solution
3) no solution
Step-by-step explanation:
The first equation is -14-8x=-2(-3x+7)
Let us expand the right hand side to get:
-14-8x=-2*-3x+-2*7
We multiply -14-8x=6x-14
We group similar terms to get:
-8x-6x=-14+14
Combine similar terms to get:
-14x=0
Divide through by -14 to get:
x=0
2) The second equation is 3+5x=5(x+2)-7
We expand to obtain:
3+5x=5x+5*2-7
Multiply to get:
3+5x=5x+10-7
This gives us
3+5x=5x+3
5x=5x
1=1
There is infinitely many solutions
3) The third equation is: 36-7x=-7(x-5)
We expand to get:
36-7x=-7x+35
Group similar terms;
-7x+7x=35-36
0=-1
This statement is not true so there is no solution.
Answer:
They gained 4 1/2 yards
Step-by-step explanation:
It was a positive gain because they didn't go back.
Answer:
3
Step-by-step explanation:
Here we have the function

We want to find the following ratio:

Note that the limit of this for
is equivalent to the derivative of the function.
Here we have:

And

Therefore we have

And therefore,

15*0.07= 1.05 so 7% of 15 is 1.05. we add this to the total so 7% tax is going to be a price of $16.05
Answer:

Step-by-step explanation:
If I represent the worker's position relative to the surface of the earth then
if we let Δy = the change of position.
