Answer:
(x)^2 (y)^2
---------- + --------- = 1
4 3
Step-by-step explanation:
The standard equation for an ellipse is
(x-h)^2 (y-k)^2
---------- + --------- = 1
a^2 b^2
The center is at (h,k)
The vertices are at (h±a, k)
The foci are at (h±c,k )
Where c is sqrt(a^2 - b^2)
It is centered at the origin so h,k are zero
(x)^2 (y)^2
---------- + --------- = 1
a^2 b^2
The center is at (0,0)
The vertices are at (0±a, 0)
The foci are at (0±c,0 )
The vertices are (±2,0) so a =2
The foci is 1
c = sqrt(a^2 - b^2)
1 = sqrt(2^2 - b^2)
Square each side
1 = 4-b^2
Subtract 4 from each side
1-4 = -b^2
-3 = -b^2
3= b^2
Take the square root
b=sqrt(3)
(x)^2 (y)^2
---------- + --------- = 1
4 3
The equation that matches the graph of the greatest integer function is y = [x] - 2
<h3>How to determine the equation?</h3>
The parent function of an step function is represented as:
y = [x]
From the given graph, we can see that the lines are shifted 2 units down.
This means that:
(x,y) = (x,y - 2)
So, we have:
y = [x] - 2
Hence, the equation that matches the graph of the greatest integer function is y = [x] - 2
Read more about step function at:
brainly.com/question/4074174
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Answer:
C. solution:
3(3c-2) = 5(2c-1)
or, 9c-6 = 10c-5
or, -6+5 =<em> </em>10c-9c
or, -1 = 1c
Hence, c = -1.
D. solution:
5(5-2a) = 4(6-a)
or, 25-10a = 24 - 4a
or, 25-24 = -4a+10a
or, 1 = 6a
or, 1/6 = a
Hence, a = 1/6.
Answer: 42 bowls were sold in the month of December.
Step-by-step explanation:
Here, The company models its profit, P, using the formula 
, where u is the number of bowling balls the company sells.
Since, Dobbs Bowling Company made a profit of $1,588 during the month of December.
Therefore, 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ u = 42 and -38
Since, The number of balls can not be negative.
Therefore, total number of the bowling balls in December that are sold = 42
