Answer:
3rd option
Step-by-step explanation:
(
)(x)
= ![\frac{f(x)}{g(x)}](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28x%29%7D%7Bg%28x%29%7D)
=
← factorise numerator and denominator
=
← cancel (2x + 1) on numerator/ denominator
= ![\frac{x-3}{x+2}](https://tex.z-dn.net/?f=%5Cfrac%7Bx-3%7D%7Bx%2B2%7D)
Answer:
B
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
![\frac{f(b)-f(a)}{b-a}](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28b%29-f%28a%29%7D%7Bb-a%7D)
Here [ a, b ] = [ 3, 5 ]
From the table of values
f(b) = f(5) = 32
f(a) = f(3) = 8
Hence
average rate of change =
=
= 12
X = y + 5
-y + x - x = y - y + x + 5
-y = x + 5
y = x - 5
Answer:
Step-by-step explanation:
times the number so 18 times 30
Answer:
![( 4.8 ,7.6)](https://tex.z-dn.net/?f=%28%204.8%20%2C7.6%29)
Step-by-step explanation:
We want to find the point, B(x,y) that divides the directed line segment from Messi, M(3,4) to S(6,10) in the ratio m:n=3:2
We use the section formula:
![( \frac{mx_2+nx_1}{m + n} ,\frac{my_2+ny_1}{m + n})](https://tex.z-dn.net/?f=%28%20%5Cfrac%7Bmx_2%2Bnx_1%7D%7Bm%20%2B%20n%7D%20%2C%5Cfrac%7Bmy_2%2Bny_1%7D%7Bm%20%2B%20n%7D%29)
We substitute the coordinates and the ratio into the section formula to get:
![( \frac{3 \times 6+2 \times 3}{3 + 2} ,\frac{3 \times 10+2 \times 4}{3+ 2})](https://tex.z-dn.net/?f=%28%20%5Cfrac%7B3%20%5Ctimes%206%2B2%20%5Ctimes%203%7D%7B3%20%2B%202%7D%20%2C%5Cfrac%7B3%20%5Ctimes%2010%2B2%20%5Ctimes%204%7D%7B3%2B%202%7D%29)
We simplify to get:
![( \frac{18+6}{5} ,\frac{30+8}{5})](https://tex.z-dn.net/?f=%28%20%5Cfrac%7B18%2B6%7D%7B5%7D%20%2C%5Cfrac%7B30%2B8%7D%7B5%7D%29)
This gives us:
![( \frac{24}{5} ,\frac{38}{5})](https://tex.z-dn.net/?f=%28%20%5Cfrac%7B24%7D%7B5%7D%20%2C%5Cfrac%7B38%7D%7B5%7D%29)
![( 4.8 ,7.6)](https://tex.z-dn.net/?f=%28%204.8%20%2C7.6%29)