Answer:
(x) = 
Step-by-step explanation:
f(x) = 9x - 8 , to find the inverse of f(x) , replace f(x) with y , then the equation becomes
y = 9x - 8 , then make x , the subject of the formula ,
9x = y + 8
x = 
Finally , replace x , with
(x) and y with x , so we have
(x) = 
Answer:
13. A
14. C.
Step-by-step explanation:
A relation is a function if there is only one y assigned to each x.
That is if you have a set of points, there should be no repeated x value.
So looking at {(0,0),(-2,4),(-2,-4),(-3,7)} this is not a function because you have two x's that are the same. A.
The slope-intercept form of a linear equation is y=mx+b where m is the slope and b is the y-intercept.
The y-intercept is where the graph goes through the y-axis at. It goes through at -1 so b=-1.
The slope is rise/run. So starting from the y-intercept (0,-1) we need to find another point to count the rise & run to... How about (3,1)? That works. You can do the counting if you want. You could also use the slope formula.
To use the slope formula, I just like to line the points up vertically and subtract vertically then put 2nd difference over the 1st difference.
(0,-1)
-(3,1)
--------
-3 -2
So the slope is -2/-3 or just 2/3.
So the equation is y=2/3 x-1
C.
Answer:
<u>V (t) = 28,900 - 4,335t</u>
<u>The function clearly represent a decay</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Value of the car = $ 28,900
Annual depreciation = 15% = 0.15
2. Identify the function for the value of the car. Does the function represent growth or decay?
Let y represent the value of the car after t years of utilization, let p the price of the car and d, the annual depreciation, therefore:
V (t) = p - (d * t * p)
Replacing with the values we know:
V (t) = 28,900 - (0.15 * t * 28.900)
V (t) = 28,900 - (0.15 * t * 28.900)
<u>V (t) = 28,900 - 4,335t</u>
<u>The function clearly represent a decay.</u>
Three loaves since that’s what’s available to the family