Answer: 112.50
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
In the composition of <em>f</em><em> </em>and <em>g</em>, the equation is telling us to place the function <em>f</em> inside <em>g</em>. Observing in B that <em>f</em> is (x + 4), then this can be put in place of the x in 3x^2, making it 3(x + 4)^2 and finally the minus 5.
Answer:
![\frac{1}{15} x](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B15%7D%20x)
Step-by-step explanation:
![\frac{7x}{20} - \frac{5x}{12}](https://tex.z-dn.net/?f=%20%5Cfrac%7B7x%7D%7B20%7D%20%20-%20%20%5Cfrac%7B5x%7D%7B12%7D%20)
![\frac{3 \times 7x}{3 \times 20} - \frac{5 \times 5x}{5 \times 12}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%20%5Ctimes%207x%7D%7B3%20%5Ctimes%2020%7D%20%20-%20%20%5Cfrac%7B5%20%5Ctimes%205x%7D%7B5%20%5Ctimes%2012%7D%20)
![\frac{21x}{60} - \frac{25x}{60}](https://tex.z-dn.net/?f=%20%5Cfrac%7B21x%7D%7B60%7D%20%20-%20%20%5Cfrac%7B25x%7D%7B60%7D%20)
![\frac{21x - 25x}{60} = (21 - 25)x = - 4x](https://tex.z-dn.net/?f=%20%5Cfrac%7B21x%20-%2025x%7D%7B60%7D%20%20%3D%20%2821%20-%2025%29x%20%3D%20%20-%204x)
![\frac{ - 4x}{60} = - \frac{ x}{15}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20-%204x%7D%7B60%7D%20%20%3D%20%20-%20%20%5Cfrac%7B%20x%7D%7B15%7D%20)
![\boxed{\green{= \frac{1}{15} x}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cgreen%7B%3D%20%20%5Cfrac%7B1%7D%7B15%7D%20x%7D%7D)
Answer:
4m3+18m2−34m+12
Step-by-step explanation:
=(4m+−2)(m2+5m+−6)
=(4m)(m2)+(4m)(5m)+(4m)(−6)+(−2)(m2)+(−2)(5m)+(−2)(−6)
=4m3+20m2−24m−2m2−10m+12
That fraction is fully simplified. :)