The average rate of change is just change in y divided by change in x.
(f(4)-f(-1))/(4--1)
(16-8-4-1-2+4)/5
5/5
1
So the average rate of change is just 1.
Answer:
Answer is below
Step-by-step explanation:
Factor 12x+18
![12x+18\\=6(2x+3)](https://tex.z-dn.net/?f=12x%2B18%5C%5C%3D6%282x%2B3%29)
Answer:
16
Step-by-step explanation:
200÷25=8×2 (cups of flour) =16
Answer:
4500 millimeters
Step-by-step explanation:
The deck consists of 4 jacks, 26 black cards, and 13 hearts.
There is only 1 way of drawing all 4 jacks:
.
There are
ways of drawing 4 black cards.
There are
ways of drawing 4 hearts.
There are
ways of drawing any 4 cards.
The probabilities are then
a.
![\dfrac{\binom44}{\binom{52}4}=\dfrac1{207,725}\approx0.00000369](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cbinom44%7D%7B%5Cbinom%7B52%7D4%7D%3D%5Cdfrac1%7B207%2C725%7D%5Capprox0.00000369)
b.
![\dfrac{\binom{26}4}{\binom{52}4}=\dfrac{46}{833}\approx0.0552](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cbinom%7B26%7D4%7D%7B%5Cbinom%7B52%7D4%7D%3D%5Cdfrac%7B46%7D%7B833%7D%5Capprox0.0552)
c.
![\dfrac{\binom{13}4}{\binom{52}4}=\dfrac{11}{4165}\approx0.00264](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cbinom%7B13%7D4%7D%7B%5Cbinom%7B52%7D4%7D%3D%5Cdfrac%7B11%7D%7B4165%7D%5Capprox0.00264)