A'(3, 2 ), B'(6, 6 ),C'(6, - 3 )
A translation of 2 units right is equivalent to adding 2 to the x- coordinate with no change to the y- coordinate.
A(1, 2 ) → A'(1 + 2, 2 ) → A'(3, 2 )
B(4, 6 ) → B'( 4 + 2, 6 ) → B'(6, 6 )
C(4, - 3 ) → B'(4 + 2, - 3 ) → B'(6, - 3 )
Answer to the 1st question: 8 years
Answer to the 2nd question: The year 2022
=======================================================
Further explanation:
x = number of years after 2008
y = average price of a new car
The prices are going up by $1250 per year on average. This is the slope because the slope is the rate of change. So m = 1250.
The y intercept is b = 30100 as this is the price in 2008.
This leads us to go from y = mx+b to y = 1250x+30100
Plug in x = 0 and you should get y = 30100.
Also, plugging x = 6 into the equation leads to y = 37600 to help confirm things.
-----------------
Next, we plug in y = 47600 and solve for x.
y = 1250x+30100
47600 = 1250x+30100
47600-30100 = 1250x
17500 = 1250x
1250x = 17500
x = 17500/1250
x = 14
This means 14 years after the year 2008 is when the average new car price will be $47,600.
2008+14 = 2022
2022-2014 = 8
Therefore, <u>8 years</u> after 2014 (aka the <u>the year 2022</u>) is when the new car average price will be $47,600.
Answer:
-6
Step-by-step explanation:
x-intercept is y = 0, so the point is (-6, 0), answer is -6
Hello,
if n=15: (4,1),(31,8),(244,63)
if n=7: (8,3),(127,48),(2024,765)
if n=99: (10,1),(199,20),(3970,399)
(Pell 's equation)
We need to find the linear function represents the line given by the point-slope equation.
Given options:
y + 7 = –(x + 6).
f(x) = –2/3x – 11.
f(x) = –2/3x – 1.
f(x) = –2/3x + 3.
f(x) = –2/3x + 13.
Point -slope form of the linear equation is in the form y-y1 = m(x - x1).
Where (x1, y1) is given point and m is the slope.
In the given options we have first option y + 7 = –(x + 6).
And it could be written as y-(-7) = -1(x-(-6))
We can see point (x1,y1) = (-7,-6) and slope m= -1.
<h3>Therefore, first option y + 7 = –(x + 6) is correct option.</h3>
