Answer:
<h2>(k ∘ p)(x) = 2x² - 16x + 25</h2>
Step-by-step explanation:
k(x) = 2x² - 7
p(x) = x - 4
To find (k ∘ p)(x) substitute p(x) into k(x),
that's replace any x in k(x) by p(x)
We have
(k ∘ p)(x) = 2(x - 4)² - 7
Expand
(k ∘ p)(x) = 2( x² - 8x + 16) - 7
= 2x² - 16x + 32 - 7
Simplify
We have the final answer as
<h3>(k ∘ p)(x) = 2x² - 16x + 25</h3>
Hope this helps you
For this case we must propose a rule of three:
20 people ----------------> 24 days
32 people ----------------> x
Where the variable "x" represents the number of days it takes 32 people to build the barn.
![x = \frac {32 * 24} {20}\\x = \frac {768} {20}\\x = 38.4](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%20%7B32%20%2A%2024%7D%20%7B20%7D%5C%5Cx%20%3D%20%5Cfrac%20%7B768%7D%20%7B20%7D%5C%5Cx%20%3D%2038.4)
Thus, it takes 32 people approximately 39 days to build the barn.
Answer:
It takes 32 people about 39 days to build the barn.
Answer:
Im sorry Im not sure
Step-by-step explanation:
Answer: ![\bold{\pm \{1, 2, 3, 4, 6, 12, \dfrac{1}{2}, \dfrac{3}{2}\}}](https://tex.z-dn.net/?f=%5Cbold%7B%5Cpm%20%5C%7B1%2C%202%2C%203%2C%204%2C%206%2C%2012%2C%20%5Cdfrac%7B1%7D%7B2%7D%2C%20%5Cdfrac%7B3%7D%7B2%7D%5C%7D%7D)
<u>Step-by-step explanation:</u>
Q P
f(x) = 2x³ - bx² + cx + 12
Possible rational roots are all of the factors of P divided by all of the factors of Q, including both positive and negative signs.
![\quad \pm \dfrac{\text{factors of P}}{\text{factors of Q}}\\\\=\pm \dfrac{\text{factors of 12}}{\text{factors of 2}}\\\\=\pm \dfrac{1,2,3,4,6,12}{1,2}\\\\=\pm 1, \pm 2, \pm 3, \pm 4, \pm 6, \pm \dfrac{1}{2}, \pm \dfrac{3}{2}\\](https://tex.z-dn.net/?f=%5Cquad%20%5Cpm%20%5Cdfrac%7B%5Ctext%7Bfactors%20of%20P%7D%7D%7B%5Ctext%7Bfactors%20of%20Q%7D%7D%5C%5C%5C%5C%3D%5Cpm%20%5Cdfrac%7B%5Ctext%7Bfactors%20of%2012%7D%7D%7B%5Ctext%7Bfactors%20of%202%7D%7D%5C%5C%5C%5C%3D%5Cpm%20%5Cdfrac%7B1%2C2%2C3%2C4%2C6%2C12%7D%7B1%2C2%7D%5C%5C%5C%5C%3D%5Cpm%201%2C%20%5Cpm%202%2C%20%5Cpm%203%2C%20%5Cpm%204%2C%20%5Cpm%206%2C%20%5Cpm%20%5Cdfrac%7B1%7D%7B2%7D%2C%20%5Cpm%20%5Cdfrac%7B3%7D%7B2%7D%5C%5C)
Answer: 20 meters
Step-by-step explanation: