Answer:
The linear relationship is represented by y = 2x + 3.
Step-by-step explanation:
We are given a y-intercept of an equation as well as a slope:
We can use this information and substitute it into the slope-intercept form equation to get our linear relationship:
In this formula, m is our slope and b is our y-intercept.
Therefore:
Finally, let us substitute these into the equation:
This is our final equation.
Answer:
36
Step-by-step explanation:
AOB + BOC = AOC
AOC = 90 since the lines are perpendicular
6x-12 + 3x+30 = 90
Combine like terms
9x + 18 = 90
Subtract 18 from each side
9x+18-18 = 90-18
9x = 72
divide by 9
9x/9 = 72/9
x = 8
AOB = 6x - 12
= 6*8 - 12
= 48 -12
= 36
Step-by-step explanation:
Given the following question:

First thing we need to keep in mind is the fact that this graph is indeed a circle. We know this because we are adding two cubic roots to each other which makes the graph a circle. We know the two separate functions are cubic roots because they each have an exponent of two. Not only is this function whose graph is a circle, but the midpoint of this circle is (2,2).
Hope this helps.
Answer:
Given that,
An amount of $23,000 is borrowed for 11 years at 6.75% interest, compounded annually.
To find the Amount paid back after 11 years.
Explanation:
we know that,
The formula to find the,
Amount after n years of interest rate r% compounded annually is,

where P is the initial amount.
Here, we have that,
P=$23,000
r=6.75
n=11
Substitute the values we get,

Solving this we get,




Round to the nearest dollar.

Answer is: Amount paid back is $47182 after 11 years