Answer:
-x-3, 7x-3, -15
Step-by-step explanation:
For first 2 just add/subtract their equations. For the last one (r.s)(-1) is the same as r(s(-1)) so s(-1)=4(-1)=-4 and r(-4)=3(-4)-3=-12-3=-15
Answer:
The average rate of change is -3.
Step-by-step explanation:
We are given the function:
And we want to find the average rate of change from <em>x </em>= 0 to <em>x </em>= 3.
In other words, we will compute the function at the two endpoints, and then find the slope of the line that crosses the two points.
For our first endpoint at <em>x</em> = 0, our function evaluates to:
So, our first point is (0, 9).
For our second endpoint at <em>x</em> = 3, our function evaluates to :
So, our second point is (3, 0).
Then by the slope formula, our average rate of change will be:
Answer:
Step-by-step explanation:
let 4th fourth vertex be D (x,y)
A(2 1/3,7 1/2),B(12, 7 1/2),C(12,1)
or A(7/3,15/2),B(12,15/2),C(12,1)
Mid-point of diagonal AC is P((7/3+12)/2,(15/2+1))
Mid -point of diagonal BD is P((12+x)/2,(15/2+y)/2)
(Because mid -point of diagonal is same.)
(12+x)/2=(7/3+12)/2
12+x=7/3+12
x=7/3
(15/2+1)/2=(15/2+y)/2
15/2+1=15/2+y
y=1
so fourth vertex is (7/3,1)
Answer: 36 cars and 9 motorcycles
Step-by-step explanation:
- It's given that he has x motorcycles to 4x cars
- After he bought the cars and sold the motorcycles, he had 4x+4 cars to x-4 motorcycles
- Since after this selling/buying, he has 8 times more cars than motorcycles, you can write the equation 4x+4=8(x-4)
- Once you solve you get 36 cars and 9 motorcycles
70 people are in the band
10 flute players
20 trombone players
10 drummers
30 trumpet players
