Answer:
8.9cm
Step-by-step explanation:
Volume of a cube = L × L × L = L³
710 = L³
L = ³√710
L= 8.9 cm
Try this option:
1. for vertex (2;1) the first equation is: h=-b/2a, it means 2=-b/2a or b=-4a;
2. for vertex (2;1) the second equation is: ax²+bx+c=y, it means 1=4a+2b+c;
3. for point (6;7) the third equation is: ax²+bx+c=y, it means 7=36a+6b+c.
4. using three equation, it is possible to make up the system of equations (and solve it). Details are in the attached picture.
answer:
![y= \frac{3}{8}x^2 - \frac{3}{2}x + \frac{5}{2}](https://tex.z-dn.net/?f=y%3D%20%5Cfrac%7B3%7D%7B8%7Dx%5E2%20-%20%5Cfrac%7B3%7D%7B2%7Dx%20%2B%20%5Cfrac%7B5%7D%7B2%7D%20)
The graph is in the attachment.
The slope-point formula:
![y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29%5C%5C%5C%5Cm%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
We have (0, 3) and (-10, 4)
Substitute:
![m=\dfrac{4-3}{-10-0}=\dfrac{1}{-10}\\\\y-3=-\dfrac{1}{10}(x-0)\qquad|\text{add 3 to both sides}\\\\y=-\dfrac{1}{10}x+3\to\boxed{A.}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B4-3%7D%7B-10-0%7D%3D%5Cdfrac%7B1%7D%7B-10%7D%5C%5C%5C%5Cy-3%3D-%5Cdfrac%7B1%7D%7B10%7D%28x-0%29%5Cqquad%7C%5Ctext%7Badd%203%20to%20both%20sides%7D%5C%5C%5C%5Cy%3D-%5Cdfrac%7B1%7D%7B10%7Dx%2B3%5Cto%5Cboxed%7BA.%7D)
Answer:
The answer is "between 60 and 96 jobs per day".
Step-by-step explanation:
In this solution, there is a mound-sized and symmetrical distribution for the number of works submitted to your computer per day with mean=78, and standard deviation=6.
Therefore a distribution of 95% decreases between the average
3* standard deviation
Therefore,
![\to 78\pm (3*6)=(78-18, 78+18)=(60,96)](https://tex.z-dn.net/?f=%5Cto%2078%5Cpm%20%283%2A6%29%3D%2878-18%2C%2078%2B18%29%3D%2860%2C96%29)
The 95% distribution falls in between 60 and 96 jobs per day.