She would need to ride her bike more than 10.33 miles per day: x > 10.33
She has 62 miles left to ride for the week. To find the average per day, we just need to divide that amount by 6.
Dividing will give us 10 and one-third, or about 10.33.
To solve for a variable, you need to get it (x) by itself.
2x² - 4x + 5 = 6 Subtract 6 from both sides
2x² - 4x - 1 = 0 Plug this into the Quadratic Formula
a = 2 , b = -4 , c = -1
x =
![\frac{-b \pm \sqrt{b^2 - 4ac} }{2a}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-b%20%5Cpm%20%20%5Csqrt%7Bb%5E2%20-%204ac%7D%20%7D%7B2a%7D%20)
Plug in your values
x =
![\frac{-(-4) \pm \sqrt{(-4)^2 - 4(2)(-1)} }{2(2)}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-%28-4%29%20%5Cpm%20%5Csqrt%7B%28-4%29%5E2%20-%204%282%29%28-1%29%7D%20%7D%7B2%282%29%7D%20)
Simplify
x =
![\frac{4 \pm \sqrt{16 + 8} }{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%20%5Cpm%20%5Csqrt%7B16%20%2B%208%7D%20%7D%7B4%7D%20)
Simplify
x =
![\frac{4 \pm 2\sqrt{6} }{4}](https://tex.z-dn.net/?f=%5Cfrac%7B4%20%5Cpm%202%5Csqrt%7B6%7D%20%7D%7B4%7D)
Simplify by removing a 2 from every term
x =
![\frac{2 \pm \sqrt{6} }{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2%20%5Cpm%20%5Csqrt%7B6%7D%20%7D%7B2%7D)
Simplify by taking the fraction apart
x =
![\frac{2}{2} \pm \frac{ \sqrt{6} }{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B2%7D%20%20%5Cpm%20%20%5Cfrac%7B%20%5Csqrt%7B6%7D%20%7D%7B2%7D%20)
Change
![\frac{2}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B2%7D%20)
to 1
x = 1
![\pm \frac{ \sqrt{6} }{2}](https://tex.z-dn.net/?f=%5Cpm%20%20%5Cfrac%7B%20%5Csqrt%7B6%7D%20%7D%7B2%7D%20)
Simplify
![\frac{ \sqrt{6} }{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Csqrt%7B6%7D%20%7D%7B2%7D%20)
to
x = 1
Calculate the mean of each data set below. Can you find any shortcuts that allow you to find the mean without having to do much calculation? Homework help 6, 10, 6, 10 11, 12, 12, 13, 12 0, 5, 4, 8, 0, 7
Answer: To find the mean of the given observations. we just need to first find the sum of the given observations and the divide the calculate sum by the total number of observations.
So here:
Sum of of observations ![=6+ 10+ 6+10+11+12+12+13+12+0+ 5+ 4+ 8+ 0+7=116](https://tex.z-dn.net/?f=%3D6%2B%2010%2B%206%2B10%2B11%2B12%2B12%2B13%2B12%2B0%2B%205%2B%204%2B%208%2B%200%2B7%3D116)
Number of observations = 15
Therefore, the mean ![=\frac{116}{15}= 7.733](https://tex.z-dn.net/?f=%3D%5Cfrac%7B116%7D%7B15%7D%3D%207.733)
Answer:
is A
Step-by-step explanation: