Second question isn't well formatted
Answer:
Number of republicans = 207
Number of democrats = 245
Step-by-step explanation:
Let :
Number of republicans = x
Number of democrats = x + 38
Total number of representatives from the two parties = 452
Tge number of representatives from each party can be calculated thus ;
Number of democrats + number of republicans = total number of representatives
(x + 38) + x = 452
x + 38 + x = 452
2x = 452 - 38
2x = 414
x = 414 / 2
x = 207
Number of republicans = 207
Number of democrats = 207 + 38 = 245
Answer:
P(not blue) = 3/5
Step-by-step explanation:
There are 4 blue shirts, 2 brown shirts , 2 green shirts, 1 red shirt and 1 white shirt for a total of 10 shirts
How many shirts are not blue?
2 brown shirts , 2 green shirts, 1 red shirt and 1 white shirt for a total of 6 shirts
P( not a blue shirt) = not a blue shirt/total
= 6/10
=3/5
b = - 4
slope m = (0 + 4)/(4 - 0) = 4/4 = 1
equation
y = x - 4
Answer:
A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola
y=5−x^2. What are the dimensions of such a rectangle with the greatest possible area?
Width =
Height =
Width =√10 and Height 
Step-by-step explanation:
Let the coordinates of the vertices of the rectangle which lie on the given parabola y = 5 - x² ........ (1)
are (h,k) and (-h,k).
Hence, the area of the rectangle will be (h + h) × k
Therefore, A = h²k ..... (2).
Now, from equation (1) we can write k = 5 - h² ....... (3)
So, from equation (2), we can write
![A =h^{2} [5-h^{2} ]=5h^{2} -h^{4}](https://tex.z-dn.net/?f=A%20%3Dh%5E%7B2%7D%20%5B5-h%5E%7B2%7D%20%5D%3D5h%5E%7B2%7D%20-h%5E%7B4%7D)
For, A to be greatest ,

⇒ ![h[10-4h^{2} ]=0](https://tex.z-dn.net/?f=h%5B10-4h%5E%7B2%7D%20%5D%3D0)
⇒ 
⇒ 
Therefore, from equation (3), k = 5 - h²
⇒ 
Hence,
Width = 2h =√10 and
Height = 
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.
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