Answer:12
for every 2 boys that is 3 girls
there are 4 sets of two boys so you would have 4 sets of 3 girls
4×3=12
I hope this is good enough:
Answer:
32.25
Step-by-step explanation:
For 40 gallons of gas = $86
For 1 gallon of gas = 86/40 = $2.15
For 15 gallons of gas = 15 x 2.15 = 32.25
Unless K is defined, this problem doesn’t make sense...even if we divide over k then k would eventually equal nothing (not zero)
The exponent tells you if the term is a large number or small number
To write a small number (between 0 and 1) in scientific notation, you move the decimal to the right and the exponent will have to be negative, as in the following example. You may notice that the decimal point was moved five places to the right until you got to the number 4, which is between 1 and 10
The rational root theorem is used to determine the possible roots of a polynomial
The possible roots of g(x) are: ![\pm 1, \pm \frac 12, \pm \frac 14, \pm \frac 18, \pm 3, \pm \frac 32, \pm \frac 34, \pm \frac 38](https://tex.z-dn.net/?f=%5Cpm%201%2C%20%5Cpm%20%5Cfrac%2012%2C%20%5Cpm%20%5Cfrac%2014%2C%20%5Cpm%20%5Cfrac%2018%2C%20%5Cpm%203%2C%20%5Cpm%20%5Cfrac%2032%2C%20%5Cpm%20%5Cfrac%2034%2C%20%5Cpm%20%5Cfrac%2038)
The leading coefficient (p) is given as:
![p = -8](https://tex.z-dn.net/?f=p%20%3D%20%20-8)
The constant term (q) is given as:
![q= -3](https://tex.z-dn.net/?f=q%3D%20-3)
Using rational root theorem, the possible roots are:
![Roots = \pm\frac{Factors\ of\ q}{Factors\ of\ p}](https://tex.z-dn.net/?f=Roots%20%3D%20%5Cpm%5Cfrac%7BFactors%5C%20of%5C%20q%7D%7BFactors%5C%20of%5C%20p%7D)
The roots of p and q are:
![-8 = \pm 1, \pm 2, \pm 4, \pm 8](https://tex.z-dn.net/?f=-8%20%3D%20%5Cpm%201%2C%20%5Cpm%202%2C%20%5Cpm%204%2C%20%5Cpm%208)
![-3 = \pm 1, \pm 3](https://tex.z-dn.net/?f=-3%20%3D%20%5Cpm%201%2C%20%5Cpm%203)
So, we have:
![Roots = \pm\frac{Factors\ of\ q}{Factors\ of\ p}](https://tex.z-dn.net/?f=Roots%20%3D%20%5Cpm%5Cfrac%7BFactors%5C%20of%5C%20q%7D%7BFactors%5C%20of%5C%20p%7D)
Substitute known values
![Roots = \pm\frac{1,3}{1,2,4,8}](https://tex.z-dn.net/?f=Roots%20%3D%20%5Cpm%5Cfrac%7B1%2C3%7D%7B1%2C2%2C4%2C8%7D)
Divide
![Roots = \pm 1, \pm \frac 12, \pm \frac 14, \pm \frac 18, \pm 3, \pm \frac 32, \pm \frac 34, \pm \frac 38](https://tex.z-dn.net/?f=Roots%20%3D%20%5Cpm%201%2C%20%5Cpm%20%5Cfrac%2012%2C%20%5Cpm%20%5Cfrac%2014%2C%20%5Cpm%20%5Cfrac%2018%2C%20%5Cpm%203%2C%20%5Cpm%20%5Cfrac%2032%2C%20%5Cpm%20%5Cfrac%2034%2C%20%5Cpm%20%5Cfrac%2038)
Hence, the possible roots of g(x) are: ![\pm 1, \pm \frac 12, \pm \frac 14, \pm \frac 18, \pm 3, \pm \frac 32, \pm \frac 34, \pm \frac 38](https://tex.z-dn.net/?f=%5Cpm%201%2C%20%5Cpm%20%5Cfrac%2012%2C%20%5Cpm%20%5Cfrac%2014%2C%20%5Cpm%20%5Cfrac%2018%2C%20%5Cpm%203%2C%20%5Cpm%20%5Cfrac%2032%2C%20%5Cpm%20%5Cfrac%2034%2C%20%5Cpm%20%5Cfrac%2038)
Read more about rational root theorem at:
brainly.com/question/10937559