Answer:
Part 41) The solutions are 3 and 1
Part 42) The solution is 2 only
Step-by-step explanation:
Part 41) we have

step 1
Find the first solution (case positive)




step 2
Find the second solution (case negative)





therefore
The negative case was resolved incorrectly
The solutions are 3 and 1
Part 42) we have
step 1
Find the first solution (case positive)



<em>Verify</em>
For n=-3
substitute
------> is not true
therefore
-------> is not a solution
step 2
Find the second solution (case negative)





therefore
The solution is 2
Let
x---------> represent the number of miles Troy's has driven
y--------> represent the amount of gas in Troy's truck
we know that
the equation that represents the amount of gas, y, in troy' s truck after driving a certain number of miles, x is

where
m is the slope---------> 
in this problem the slope is equal to 
it's negative because the tank is going to be consumed
assuming he starts with a full tank

substitute in the formula above

therefore
the answer is
the equation 
If you put <em>x</em> for "a number,"
2/3(x) + 4 = 7
2x/3 = 7-4
2x/3 = 3
x = 2
Answer:
3x+5y+12=0
Step-by-step explanation:
This information is given in the question:
m=-3/5
x1=-4
y1=0
The formula for the equation of a line is:
y-y1=m (x-x1)
From this we can make a substitution
y-0=-3/5 (x--4)
Next simplify
y=-3/5 (x+4)
Multiply both sides of the equation by 5
5y=-3x-12
Make the right side of the equation equal to zero
3x+5y+12=0
This is the equation of the line in general form.
Answer:
what grade
Step-by-step explanation: