Answer:
the answer to the first one is A
the second one is 2
the last one is A
Answer:
1. Amount of books he has to catalog in the beginning.
2.Amount of clothes she has to package in the beginning.
3.Amount of cars she has to detail in the beginning.
4.Amount of pets that have to be groomed in the beginning.
5.Amount of potatoes needed to be inspected at first.
6.Amount of toy remote cars that have to be tested in the beginning.
When you plot the given points on a coordinate plane, you can see this is an ellipse that is vertical. The equation for this is
![\frac{(x-h) ^{2} }{ b^{2} }+ \frac{(y-k) ^{2} }{ a^{2} }=1](https://tex.z-dn.net/?f=%20%5Cfrac%7B%28x-h%29%20%5E%7B2%7D%20%7D%7B%20b%5E%7B2%7D%20%7D%2B%20%5Cfrac%7B%28y-k%29%20%5E%7B2%7D%20%7D%7B%20a%5E%7B2%7D%20%7D%3D1%20%20)
. Of the values a and b, a is always greater than b, so it is on our major axis, the y-axis (it's under the y-k). a is the distance from the center to the vertices. When you plotted those given points, you can see that point dead center between the foci and the vertices is the origin (0, 0). That gives us our h and k values of 0 and 0. a is the number of units from the h coordinate of 0 to the y coordinate of the vertex, so a = 12. c is the number of units from the center to the foci, so c = 11. We need to find b now using the formula for the foci which is
![c^{2} = a^{2}- b^{2}](https://tex.z-dn.net/?f=%20c%5E%7B2%7D%20%3D%20a%5E%7B2%7D-%20b%5E%7B2%7D%20%20)
. We have c and a, so
![121=144- b^{2}](https://tex.z-dn.net/?f=121%3D144-%20b%5E%7B2%7D%20)
and
![b= \sqrt{23}](https://tex.z-dn.net/?f=b%3D%20%5Csqrt%7B23%7D%20)
. Now we have all the info we need to rewrite the equation:
![\frac{(x-0) ^{2} }{23} + \frac{(y-0) ^{2} }{144}=1](https://tex.z-dn.net/?f=%20%5Cfrac%7B%28x-0%29%20%5E%7B2%7D%20%7D%7B23%7D%20%2B%20%5Cfrac%7B%28y-0%29%20%5E%7B2%7D%20%7D%7B144%7D%3D1%20)
or, simplified,
Answer:
The answer is x = 25%
Step-by-step explanation:
84 represents 100% of the questions.
63 represents x% of the correct answers.
x = (63x100)/84
x = 6300/84
x = 75% correct answers.
percentage of the wrong answers:
100% - 75% = 25%
It has one X-intercept. Graph it on Desmos and you can see the line, and then it becomes obvious it is one x-intercept.