Answer:
Joe scored higher by 1600
Step-by-step explanation:
Given
![Simon = 4 * 10^2](https://tex.z-dn.net/?f=Simon%20%3D%204%20%2A%2010%5E2)
![Joe = 2 * 10^3](https://tex.z-dn.net/?f=Joe%20%3D%202%20%2A%2010%5E3)
Solving (a): Which is higher?
First, we need to convert both numbers to whole numbers
![Simon = 4 * 100](https://tex.z-dn.net/?f=Simon%20%3D%204%20%2A%20100)
![Simon = 400](https://tex.z-dn.net/?f=Simon%20%3D%20400)
![Joe = 2 * 10^3](https://tex.z-dn.net/?f=Joe%20%3D%202%20%2A%2010%5E3)
![Joe = 2 * 1000](https://tex.z-dn.net/?f=Joe%20%3D%202%20%2A%201000)
![Joe = 2000](https://tex.z-dn.net/?f=Joe%20%3D%202000)
2000 is greater than 400;
Hence, Joe score higher
Solving (b): By how much?
We simply calculate the difference
![Difference = Joe - Simon](https://tex.z-dn.net/?f=Difference%20%3D%20Joe%20-%20Simon)
![Difference = 2000 - 400](https://tex.z-dn.net/?f=Difference%20%3D%202000%20-%20400)
![Difference = 1600](https://tex.z-dn.net/?f=Difference%20%3D%201600)
The answer is C
Since two angles of one triangle are congruent to two angles on another triangles, that means the third angles should be congruent
Answer:
104 bowls
Step-by-step explanation:
Divide 1365 times / 13 years to get the average number of times or bowls that Conor ate in a year, on average.
1365/13 = 104.307692308 = 104 bowls
Answer: Option D
Step-by-step explanation:
Add 4x² to both sides of the equation:
![16x+8+4x^2=-4x^2+4x^2\\4x^2+16x+8=0](https://tex.z-dn.net/?f=16x%2B8%2B4x%5E2%3D-4x%5E2%2B4x%5E2%5C%5C4x%5E2%2B16x%2B8%3D0)
The Quadratic formula is:
![x=\frac{-b\±\sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%5C%C2%B1%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
You can identify that in this case:
![a=4\\b=16\\c=8](https://tex.z-dn.net/?f=a%3D4%5C%5Cb%3D16%5C%5Cc%3D8)
Substitute into the Quadratic formula:
![x=\frac{-16\±\sqrt{(16)^2-4(4)(8)}}{2(4)}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-16%5C%C2%B1%5Csqrt%7B%2816%29%5E2-4%284%29%288%29%7D%7D%7B2%284%29%7D)
![x_1=-0.58\\x_2=-3.41](https://tex.z-dn.net/?f=x_1%3D-0.58%5C%5Cx_2%3D-3.41)
Therefore, the graph of the equation above intersect the x-axis in two points.