Answer:
y = 3x-2
Step-by-step explanation:
We can find the slope using the formula
m = (y2-y1)/(x2-x1)
= (16-4)/(6-2)
=12/4
=3
We then use the point slope form of a line
y-y1= m(x-x1)
y-4 = 3(x-2)
Distribute the 3
y-4= 3x-6
Add 4 to each side
y-4+4 = 3x-6+4
y = 3x-2
This is in slope intercept form
Answer:
If the absolute value expression is not equal to zero, the expression inside an absolute value can be either positive or negative. So, there can be at most two solutions. Looking at this graphically, an absolute value graph can intersect a horizontal line at most two times.
Answer:
b. When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.
Step-by-step explanation:
The solution is correct up to the step 2x = 6x
2x = 6x
Subtract 2x from both sides.
0 = 4x
Divide both sides by 4.
x = 0
You cannot divide both sides by x since x could be zero, and in fact, it is.
Answer: b. When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.
Answer:
FV= $3,725.07
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $3,294
Number of periods (n)= 5 years
Interest rate (i)= 2.6% = 0.026
<u>To calculate the future value (FV), we need to use the following formula:</u>
FV= PV*(1+i)^n
FV= 3,294*(1.026^5)
FV= $3,725.07
Answer:
y=20
x=4
Step-by-step explanation:
Since you can plug the first 2 coordinates into the slope equation (
) you will get 4 for the slope so for the equation for the parallel line you would get y=4x+4 and since the x=4 you could plug that in and you would get y=20 and x=4