Answer: y=6x+7
Step-by-step explanation:
To find the equation of the line, we want to find the slope with the formula
.

Now that we know th eslope, we can start to fill out the equation. To find the y-intercept, we can plug in a given point and solve.
y=6x+b
1=6(-1)+b [multiply]
1=-6+b [add both sides by 6]
b=7
Now, we know the equation is y=6x+7.
Answer:

Step-by-step explanation:
Let's start by using change of base property:

So, for 

Now, using change of base for 

You can express
as:

Using reduction of power property:


Therefore:

As you can see the only difference between (1) and (2) is the coefficient
:
So:


Answer:
200+25w
Step-by-step explanation:
200=starting amount
25=every week gaining
w=weeks
Answer= 14.5 weeks
Hope it helps!
Answer:
|x - 5| = 2
Step-by-step explanation:
Since we are not given a zero on the number line, we do the following:
Average = midpoint between two numbers on the number line
For this number line,
Average = 3 + 7 ÷ 2
Average = 5
Next we find how many units away are each number from the middle:
3 is 2 units away from 5
7 is 2 units away from 5
Units away = 2
Let's use the formula:
|x - average| = Units away
Substitute values into equation
|x - 5| = 2
Now we solve
Solve for x over the integers:
|x - 5| = 2
Split the equation into two possible equations:
x - 5 = 2 or x - 5 = -2
Add 5 to both sides:
x = -5 + 5 = 2 + 5 or x - 5 + 5 = -2 + 5
Answer:
x = 7 or x = 3
LOOK AT THE GRAPH AND NUMBER LINE