Answer:
(x-6)^2
Step-by-step explanation:
Hope this helped
Answer:
(a) 7 essays and 29 multiple questions
(b) Your friend is incorrect
Step-by-step explanation:
Represent multiple choice with M and essay with E.
So:
--- Number of questions
--- Points
Solving (a): Number of question of each type.
Make E the subject of formula in ![M + E= 36](https://tex.z-dn.net/?f=M%20%2B%20E%3D%2036)
![E = 36 - M](https://tex.z-dn.net/?f=E%20%3D%2036%20-%20M)
Substitute 36 - M for E in ![2M + 6E = 100](https://tex.z-dn.net/?f=2M%20%2B%206E%20%3D%20100)
![2M + 6(36 - M) = 100](https://tex.z-dn.net/?f=2M%20%2B%206%2836%20-%20M%29%20%3D%20100)
![2M + 216 - 6M = 100](https://tex.z-dn.net/?f=2M%20%2B%20216%20-%206M%20%3D%20100)
Collect Like Terms
![2M - 6M = 100 - 216](https://tex.z-dn.net/?f=2M%20-%206M%20%3D%20100%20-%20216)
![-4M = - 116](https://tex.z-dn.net/?f=-4M%20%3D%20-%20116)
Divide both sides by -4
![M = \frac{-116}{-4}](https://tex.z-dn.net/?f=M%20%3D%20%5Cfrac%7B-116%7D%7B-4%7D)
![M = 29](https://tex.z-dn.net/?f=M%20%3D%2029)
Substitute 29 for M in ![E = 36 - M](https://tex.z-dn.net/?f=E%20%3D%2036%20-%20M)
![E = 36 - 29](https://tex.z-dn.net/?f=E%20%3D%2036%20-%2029)
![E = 7](https://tex.z-dn.net/?f=E%20%3D%207)
Solving (b): Can the multiple questions worth 4 points each?
It is not possible.
See explanation.
If multiple question worth 4 points each, then
would be:
![4M + xE = 100](https://tex.z-dn.net/?f=4M%20%2B%20xE%20%3D%20100)
Where x represents the number of points for essay questions.
Substitute 7 for E and 29 for M.
![4 * 29 + x * 7 = 100](https://tex.z-dn.net/?f=4%20%2A%2029%20%2B%20x%20%2A%207%20%3D%20100)
![116 + 7x = 100](https://tex.z-dn.net/?f=116%20%2B%207x%20%3D%20100)
Subtract 116 from both sides
![116-116 + 7x = 100 -116](https://tex.z-dn.net/?f=116-116%20%2B%207x%20%3D%20100%20-116)
![7x = 100-116](https://tex.z-dn.net/?f=7x%20%3D%20100-116)
![7x = -16](https://tex.z-dn.net/?f=7x%20%3D%20-16)
Make x the subject
![x = -\frac{16}{7}](https://tex.z-dn.net/?f=x%20%3D%20-%5Cfrac%7B16%7D%7B7%7D)
Since the essay question can not have worth negative points.
Then, it is impossible to have the multiple questions worth 4 points
<em>Your friend is incorrect.</em>
Answer:
A.Graph B
Step-by-step explanation:
it decreases to a y of (0,-7) and then stays constant at -7
Hope this was helpful
A isosceles triangle is a triangle who has two sides of the same length
Step-by-step explanation:
![\to \sf \: \: 250\% \: of \: 4.4 \\ \sf \to \frac{250}{100} \times \frac{44}{100} \\ \sf \to \: \frac{11 \cancel{000}}{10 \cancel{000}} \\ \sf \to \: \frac{11}{10} \\ \sf \to \: 1.1 \: ans.](https://tex.z-dn.net/?f=%20%5Cto%20%5Csf%20%5C%3A%20%5C%3A%20250%5C%25%20%5C%3A%20of%20%5C%3A%204.4%20%20%5C%5C%20%20%5Csf%20%5Cto%20%5Cfrac%7B250%7D%7B100%7D%20%20%5Ctimes%20%20%5Cfrac%7B44%7D%7B100%7D%20%20%5C%5C%20%20%20%5Csf%20%5Cto%20%5C%3A%20%20%5Cfrac%7B11%20%5Ccancel%7B000%7D%7D%7B10%20%5Ccancel%7B000%7D%7D%20%20%5C%5C%20%20%5Csf%20%5Cto%20%5C%3A%20%20%5Cfrac%7B11%7D%7B10%7D%20%20%5C%5C%20%20%5Csf%20%5Cto%20%5C%3A%201.1%20%5C%3A%20ans.)