Answer:
x² + 2x + y² + 4y = 20
(x² + 2x + 1) - 1 + (y² + 4y + 4) - 4 = 20
(x + 2)² + (y + 4)² - 5 = 20
(x + 2)² + (y + 4)² = 25
Therefore, the center is (-2, -4) and the radius is √25 = 5.
Answer:
The difference of the profit of two companies is $ 417
Step-by-step explanation:
Given as :
The company A loss amount in January = $ 255
The company B profit amount in January = $ 162
Let the difference between there profits = x
So, x = company B profit - ( company A profit)
I.e x = company B profit - ( - company A loss)
Or, x = $ 255 + $162
∴ x = $ 417
Hence The difference of the profit of two companies is $ 417 . Answer
Answer:
The inequality equation is 12 ≤ 2x + 3y
Step-by-step explanation:
Protein in a cheese square = 2 grams
Protein in a turkey square = 3 grams
And She can eat 12 or more grams of proteins
Let x be the number of cheese squares and y be the number of turkey squares that she eats.
So, we can write an inequality equation, that describes the given situation in the problem.
i.e. 2x + 3y ≥ 12 or 12 ≤ 2x + 3y
So the inequality equation is 12 ≤ 2x + 3y
Let 0.25x is the price increase. Therefore, the number of attendees will be 350-10x and the revenue R=(350-10x)*(5+0.25x)=1750+37.5x-2.5x^2. This parabola has maximum at x=10, meaning the price=7.5
Answer:
The probability of Javier volunteers for less than three a month is 25%
Step-by-step explanation:
According to the questions,
The probability of Javier to attend exactly 5 events :-
P ( x = 5 ) = 25% = 
The probability of Javier to attend exactly 4 events :-
P ( x = 4 ) =
The probability of Javier to attend exactly 3 events :-
P ( x = 3 ) =
The probability of Javier to attend exactly 2 events :-
P ( x = 2 ) = 
The probability of Javier to attend exactly 1 events :-
P ( x = 1 ) = 
The probability of Javier to attend no events :-
P ( x = 0 ) =
Now we have to calculate the probability of Javier volunteers for less than three P ( x < 3 ).
P ( x < 3 ) = P ( x = 0 ) + P ( x = 1 ) + P ( x = 2 )
P ( x < 3 ) = 
= 
= = 0.25 = 25 %.
