Answer: -5/21.
Step-by-step explanation:
![\frac{2}{5}*[\frac{-3}{7} +(\frac{-1}{6})]=\frac{2}{5} *(-\frac{3}{7} -\frac{1}{6}) =\frac{2}{5}*(-\frac{3*6+1*7)}{7*6} )=\frac{2}{5}*(-\frac{18+7}{42})=\frac{2}{5}*(-\frac{25}{42})=-\frac{5}{21} .](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B5%7D%2A%5B%5Cfrac%7B-3%7D%7B7%7D%20%2B%28%5Cfrac%7B-1%7D%7B6%7D%29%5D%3D%5Cfrac%7B2%7D%7B5%7D%20%2A%28-%5Cfrac%7B3%7D%7B7%7D%20-%5Cfrac%7B1%7D%7B6%7D%29%20%3D%5Cfrac%7B2%7D%7B5%7D%2A%28-%5Cfrac%7B3%2A6%2B1%2A7%29%7D%7B7%2A6%7D%20%20%29%3D%5Cfrac%7B2%7D%7B5%7D%2A%28-%5Cfrac%7B18%2B7%7D%7B42%7D%29%3D%5Cfrac%7B2%7D%7B5%7D%2A%28-%5Cfrac%7B25%7D%7B42%7D%29%3D-%5Cfrac%7B5%7D%7B21%7D%20.)
Good luck an' have a nice day!
Answer:
student a answered correctly
Step-by-step explanation:
student b didn't multiply the crossproducts
9514 1404 393
Answer:
y = 3.02x^3 -5.36x^2 +5.68x +8.66
Step-by-step explanation:
Your graphing calculator (or other regression tool) can solve this about as quickly as you can enter the numbers. If you have a number of regression formulas to work out, it is a good idea to become familiar with at least one tool for doing so.
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If you're trying to do this by hand, the x- and y-values give you 4 equations in the 4 unknown coefficients.
a·1^3 +b·1^2 +c·1 +d = 12
a·3^3 +b·3^2 +c·3 +d = 59
a·6^3 +b·6^2 +c·6 +d = 502
a·8^3 +b·8^2 +c·8 +d = 1257
Solving this by elimination, substitution, or matrix methods is tedious, but not impossible. Calculators and web sites can help. The solutions are a = 317/105, b = -75/14, c = 1193/210, d = 303/35. Approximations to these values are shown above.
Answer:
<u>The table shows that:</u>
- The value of y decreases when the value of x decreases or vice versa, the value of y increases as x increases.
Therefore the line has a positive slope