The system of equation is: 15x+12y=348, 8x+8y=200. The price of a jacket times number of jackets means the amount of money spent on jackets, and same for sweatpants. Their sum is the total amount of money spent.
The number of night of work each performers will have equal amount is 1 night
<h3 /><h3>How to find the time of work that the performers will have equal amount?</h3>
The buskers gets permit which cost $30. They can make an average of $45 per night (n),
Therefore,
y = 45n - 30
Without a permit they may only make an average of $15 per night.
Therefore,
y = 15n
The number of night the money made are both equal.
45n - 30 = 15n
45n - 15n = 30
30n = 30
n = 30 / 30
n = 1
Therefore, the number of night of work each performers will have equal amount is 1 night
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Answer:
2
Step-by-step explanation:
(6x+2)/(3x+1) = 2
If the parabola has y = -4 at both x = 2 and x = 3, then since a parabola is symmetric, its axis of symmetry must be between x = 2 and x = 3, or at x = 5/2. Our general equation can then be:
y = a(x - 5/2)^2 + k
Substitute (1, -2): -2 = a(-3/2)^2 + k
-2 = 9a/4 + k
Substitute (2, -4): -4 = a(-1/2)^2 + k
-4 = a/4 + k
Subtracting: 2 = 2a, so a = 1. Substituting back gives k = -17/4.
So the equation is y = (x - 5/2)^2 - 17/4
Expanding: y = x^2 - 5x + 25/4 - 17/4
y = x^2 - 5x + 2 (This is the standard form.)
Answer:
a number. 5. b number. 7 fourth one. c number. 1. d number 0
Step-by-step explanation:
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