Answer:
its: 583.875
Step-by-step explanation:
Please give me brainlist
Answer:
The zeros of f(x) are: (x - 1), (x - 3) and (x - 8)
<em></em>
Step-by-step explanation:
Given
![f(x)=x^3-12x^2+35x-24](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E3-12x%5E2%2B35x-24)
![f(8) = 0](https://tex.z-dn.net/?f=f%288%29%20%3D%200)
Required
Find all zeros of the f(x)
If
then:
![x = 8](https://tex.z-dn.net/?f=x%20%3D%208)
And
is a factor
Divide f(x) by x - 8
![\frac{f(x)}{x - 8} = \frac{x^3-12x^2+35x-24}{x - 8}](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28x%29%7D%7Bx%20-%208%7D%20%3D%20%5Cfrac%7Bx%5E3-12x%5E2%2B35x-24%7D%7Bx%20-%208%7D)
Expand the numerator
![\frac{f(x)}{x - 8} = \frac{x^3 - 4x^2 -8x^2 + 3x + 32x - 24}{x - 8}](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28x%29%7D%7Bx%20-%208%7D%20%3D%20%5Cfrac%7Bx%5E3%20-%204x%5E2%20-8x%5E2%20%2B%203x%20%2B%2032x%20-%2024%7D%7Bx%20-%208%7D)
Rewrite as:
![\frac{f(x)}{x - 8} = \frac{x^3 - 4x^2 + 3x - 8x^2 +32x - 24}{x - 8}](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28x%29%7D%7Bx%20-%208%7D%20%3D%20%5Cfrac%7Bx%5E3%20-%204x%5E2%20%2B%203x%20-%208x%5E2%20%2B32x%20-%2024%7D%7Bx%20-%208%7D)
Factorize
![\frac{f(x)}{x - 8} = \frac{(x^2 - 4x + 3)(x - 8)}{x - 8}](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28x%29%7D%7Bx%20-%208%7D%20%3D%20%5Cfrac%7B%28x%5E2%20-%204x%20%2B%203%29%28x%20-%208%29%7D%7Bx%20-%208%7D)
Expand
![\frac{f(x)}{x - 8} = \frac{(x^2 -x - 3x + 3)(x - 8)}{x - 8}](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28x%29%7D%7Bx%20-%208%7D%20%3D%20%5Cfrac%7B%28x%5E2%20-x%20-%203x%20%2B%203%29%28x%20-%208%29%7D%7Bx%20-%208%7D)
Factorize
![\frac{f(x)}{x - 8} = \frac{(x - 1)(x - 3)(x - 8)}{x - 8}](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28x%29%7D%7Bx%20-%208%7D%20%3D%20%5Cfrac%7B%28x%20-%201%29%28x%20-%203%29%28x%20-%208%29%7D%7Bx%20-%208%7D)
![\frac{f(x)}{x - 8} = (x - 1)(x - 3)](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28x%29%7D%7Bx%20-%208%7D%20%3D%20%28x%20-%201%29%28x%20-%203%29)
Multiply both sides by x - 8
![f(x) = (x - 1)(x - 3)(x - 8)](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%28x%20-%201%29%28x%20-%203%29%28x%20-%208%29)
<em>Hence, the zeros of f(x) are: (x - 1), (x - 3) and (x - 8)</em>
Hi!
Let's find out how much he has to pay for each of the deals.
Deal 1
£1.75 per mile.
192 x 1.75 = 336
£336
Deal 2
15% off of £680
![\frac{x}{680} \frac{15}{100}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B680%7D%20%5Cfrac%7B15%7D%7B100%7D%20%20)
680 x 15 = 10200
10200/100 = 102
680 - 102 = 578
£578
Deal 3
£90 per day - 1/10
90 x 7 = 630
1/10 of 630 = 63
630 - 63 = 567
£567
The cheapest deal would be Deal 1
Hope this helps! :)
-Peredhel
Hello!
1.
find circumferece
c=2pir
c=2*6*pi=12pi
intercept is 5.4
2pi radians=all
part/whole=part/whole
5.4/12pi=x/2pi
times both sides by 12pi
5.4=6x
divide both sides by 6
0.9=x
answer is 0.9 radians
2.
assuming 9pi/5 radians
find circumference
c=2pir
c=2*26.9*pi
c=53.8pi
arc/circumference=(9pi/5)/2pi
x/(53.8pi)=(9pi/5)/(2pi)
x/(53.8pi)=18/5
times both sides by 53.8pi
x=608.46266 m
about x=608.46 m
Hope this Helps! Have A Wonderful Day! :)
Answer:
90
Step-by-step explanation:
no of total groups = 2+6+4=12
so in total there are 12 groups
each have equal number of members
so the answer is the number that is not a factor of 12
i hope this help you
this is quite high order thinking question
so don't know about the steps
if you understood then you may write the steps yourself