Answer:
4/11
Step-by-step explanation:
Add them together
Answer:
49
Step-by-step explanation:
There is no answer choices so I can't really select an answer so I just provided my own. If you do provide the answer choices and my answer is wrong tell me and I will gladly change it. Anyways my explanation is since there are 7 days in a week and she collected 7 leaves for a week you would find this answer out by multiplying 7 by 7. 7x7=49
Answer:
45.625
Step-by-step explanation:
24.5+14.25+6.875= 45.625
Answer:
![\large\boxed{\dfrac{f(x+h)-f(x)}{h}=4x+2h}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%5Cdfrac%7Bf%28x%2Bh%29-f%28x%29%7D%7Bh%7D%3D4x%2B2h%7D)
Step-by-step explanation:
![f(x)=2x^2+4\\\\f(x+h)=2(x+h)^2+4\qquad\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\f(x+h)=2(x^2+2xh+h^2)+4\qquad\text{use the distributive property}\\\\f(x+h)=2x^2+4xh+2h^2+4\\\\\text{Substitute to}\ \dfrac{f(x+h)-f(x)}{h}\\\\\dfrac{f(x+h)-f(x)}{h}=\dfrac{2x^2+4xh+2h^2+4-(2x^2+4)}{h}\\\\\dfrac{f(x+h)-f(x)}{h}=\dfrac{2x^2+4xh+2h^2+4-2x^2-4}{h}\\\\\text{combine like terms}\\\\\dfrac{f(x+h)-f(x)}{h}=\dfrac{4xh+2h^2}{h}\qquad\text{distribute}\\\\\dfrac{f(x+h)-f(x)}{h}=\dfrac{h(4x+2h)}{h}\qquad\text{cancel}\ h](https://tex.z-dn.net/?f=f%28x%29%3D2x%5E2%2B4%5C%5C%5C%5Cf%28x%2Bh%29%3D2%28x%2Bh%29%5E2%2B4%5Cqquad%5Ctext%7Buse%7D%5C%20%28a%2Bb%29%5E2%3Da%5E2%2B2ab%2Bb%5E2%5C%5C%5C%5Cf%28x%2Bh%29%3D2%28x%5E2%2B2xh%2Bh%5E2%29%2B4%5Cqquad%5Ctext%7Buse%20the%20distributive%20property%7D%5C%5C%5C%5Cf%28x%2Bh%29%3D2x%5E2%2B4xh%2B2h%5E2%2B4%5C%5C%5C%5C%5Ctext%7BSubstitute%20to%7D%5C%20%5Cdfrac%7Bf%28x%2Bh%29-f%28x%29%7D%7Bh%7D%5C%5C%5C%5C%5Cdfrac%7Bf%28x%2Bh%29-f%28x%29%7D%7Bh%7D%3D%5Cdfrac%7B2x%5E2%2B4xh%2B2h%5E2%2B4-%282x%5E2%2B4%29%7D%7Bh%7D%5C%5C%5C%5C%5Cdfrac%7Bf%28x%2Bh%29-f%28x%29%7D%7Bh%7D%3D%5Cdfrac%7B2x%5E2%2B4xh%2B2h%5E2%2B4-2x%5E2-4%7D%7Bh%7D%5C%5C%5C%5C%5Ctext%7Bcombine%20like%20terms%7D%5C%5C%5C%5C%5Cdfrac%7Bf%28x%2Bh%29-f%28x%29%7D%7Bh%7D%3D%5Cdfrac%7B4xh%2B2h%5E2%7D%7Bh%7D%5Cqquad%5Ctext%7Bdistribute%7D%5C%5C%5C%5C%5Cdfrac%7Bf%28x%2Bh%29-f%28x%29%7D%7Bh%7D%3D%5Cdfrac%7Bh%284x%2B2h%29%7D%7Bh%7D%5Cqquad%5Ctext%7Bcancel%7D%5C%20h)
![\dfrac{f(x+h)-f(x)}{h}=4x+2h](https://tex.z-dn.net/?f=%5Cdfrac%7Bf%28x%2Bh%29-f%28x%29%7D%7Bh%7D%3D4x%2B2h)