Answer:
Jackson ran 5/24 miles further than him
Step-by-step explanation:
7/8-2/3 = 21/24 - 16/24 = 5/24 miles or approx. 0.208 miles further than him
I can't figure out a factor for this but graphing it shows x = -2 and +1 as real roots.
Answer:
The correct option is 4
Step-by-step explanation:
The solution is given as
![y(x)=\frac{1}{\sqrt{C+4x^2}}](https://tex.z-dn.net/?f=y%28x%29%3D%5Cfrac%7B1%7D%7B%5Csqrt%7BC%2B4x%5E2%7D%7D)
Now for the initial condition the value of C is calculated as
![y(x)=\frac{1}{\sqrt{C+4x^2}}\\y(-2)=\frac{1}{\sqrt{C+4(-2)^2}}\\4=\frac{1}{\sqrt{C+4(4)}}\\4=\frac{1}{\sqrt{C+16}}\\16=\frac{1}{C+16}\\C+16=\frac{1}{16}\\C=\frac{1}{16}-16](https://tex.z-dn.net/?f=y%28x%29%3D%5Cfrac%7B1%7D%7B%5Csqrt%7BC%2B4x%5E2%7D%7D%5C%5Cy%28-2%29%3D%5Cfrac%7B1%7D%7B%5Csqrt%7BC%2B4%28-2%29%5E2%7D%7D%5C%5C4%3D%5Cfrac%7B1%7D%7B%5Csqrt%7BC%2B4%284%29%7D%7D%5C%5C4%3D%5Cfrac%7B1%7D%7B%5Csqrt%7BC%2B16%7D%7D%5C%5C16%3D%5Cfrac%7B1%7D%7BC%2B16%7D%5C%5CC%2B16%3D%5Cfrac%7B1%7D%7B16%7D%5C%5CC%3D%5Cfrac%7B1%7D%7B16%7D-16)
So the solution is given as
![y(x)=\frac{1}{\sqrt{C+4x^2}}\\y(x)=\frac{1}{\sqrt{\frac{1}{16}-16+4x^2}}](https://tex.z-dn.net/?f=y%28x%29%3D%5Cfrac%7B1%7D%7B%5Csqrt%7BC%2B4x%5E2%7D%7D%5C%5Cy%28x%29%3D%5Cfrac%7B1%7D%7B%5Csqrt%7B%5Cfrac%7B1%7D%7B16%7D-16%2B4x%5E2%7D%7D)
Simplifying the equation as
![y(x)=\frac{1}{\sqrt{\frac{1}{16}-16+4x^2}}\\y(x)=\frac{1}{\sqrt{\frac{1-256+64x^2}{16}}}\\y(x)=\frac{\sqrt{16}}{\sqrt{{1-256+64x^2}}}\\y(x)=\frac{4}{\sqrt{{1+64(x^2-4)}}}](https://tex.z-dn.net/?f=y%28x%29%3D%5Cfrac%7B1%7D%7B%5Csqrt%7B%5Cfrac%7B1%7D%7B16%7D-16%2B4x%5E2%7D%7D%5C%5Cy%28x%29%3D%5Cfrac%7B1%7D%7B%5Csqrt%7B%5Cfrac%7B1-256%2B64x%5E2%7D%7B16%7D%7D%7D%5C%5Cy%28x%29%3D%5Cfrac%7B%5Csqrt%7B16%7D%7D%7B%5Csqrt%7B%7B1-256%2B64x%5E2%7D%7D%7D%5C%5Cy%28x%29%3D%5Cfrac%7B4%7D%7B%5Csqrt%7B%7B1%2B64%28x%5E2-4%29%7D%7D%7D)
So the correct option is 4
Answer:
y = -3.84.
Step-by-step explanation:
(0.4y - 3)/(1.5y + 9) = -7/5
Cross multiply:
2y - 15 = -10.5y - 63
12.5y = -48
y = -3.84