The quantity of a product supplied (called the supply) demanded (called the demand) in an economic market are functions of the price of the product. The market is said to be in equilibrium when the supply and demand are equal. The price equilibrium is called the equilibrium price, and the quantity at equilibrium is called the equilibrium demand. Consider the following supply and demand functions, where p is the price, in dollars, s is the supply function, and d is the demand function. S ==p+15 1 = --p+ 99 d 133. What is the equilibrium price? (Disregard the dollar sign when gridding your answer.) 134. What is the equilibrium demand? 16k x + y = Ingifle =Dk 135. In the system of equations above, k is a constant such that 0 < k < =. Given that (X, y) is a solution to the system of equations, what is one possible value of y? 14 -g/*-15 Зх + k %3D 136. In the equation above, j and k are constants. If the equation has infinitely many solutions, what is the value of jk ? LEVEL 5: PASSPORT TO ADVANCED MATH 137. If x + y = 2k – 1, and x² + y? = 9 – 4k + 2k2, what is xy in terms of k ? %3D A) k – 2 B) (k – 2)² C) (k + 2)² D) k² – 4 (r*y5)a(x®y5)$ = x$yi įk 138. In the equation above, j and k are constants. If the equation is true for all positive real values of x and y, what is the value of j – k ? A) 3 B) 4 C) 5 D) 6 366

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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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Question number 138

The quantity of a product supplied (called the supply)
demanded (called the demand) in an economic market are functions of the price of the product.
The market is said to be in equilibrium when the supply and demand are equal. The price
equilibrium is called the equilibrium price, and the quantity at equilibrium is called the
equilibrium demand. Consider the following supply and demand functions, where p is the
price, in dollars, s is the supply function, and d is the demand function.
S ==p+15
1
= --p+ 99
d
133. What is the equilibrium price? (Disregard the dollar sign when gridding your answer.)
134. What is the equilibrium demand?
16k
x + y =
Ingifle
=Dk
135. In the system of equations above, k is a constant such that 0 < k < =. Given that (X, y) is a
solution to the system of equations, what is one possible value of y?
14
-g/*-15
Зх + k
%3D
136. In the equation above, j and k are constants. If the equation has infinitely many solutions,
what is the value of jk ?
LEVEL 5: PASSPORT TO ADVANCED MATH
137. If x + y = 2k – 1, and x² + y? = 9 – 4k + 2k2, what is xy in terms of k ?
%3D
A) k – 2
B) (k – 2)²
C) (k + 2)²
D) k² – 4
(r*y5)a(x®y5)$ = x$yi
įk
138. In the equation above, j and k are constants. If the equation is true for all positive real values
of x and y, what is the value of j – k ?
A) 3
B) 4
C) 5
D) 6
366
Transcribed Image Text:The quantity of a product supplied (called the supply) demanded (called the demand) in an economic market are functions of the price of the product. The market is said to be in equilibrium when the supply and demand are equal. The price equilibrium is called the equilibrium price, and the quantity at equilibrium is called the equilibrium demand. Consider the following supply and demand functions, where p is the price, in dollars, s is the supply function, and d is the demand function. S ==p+15 1 = --p+ 99 d 133. What is the equilibrium price? (Disregard the dollar sign when gridding your answer.) 134. What is the equilibrium demand? 16k x + y = Ingifle =Dk 135. In the system of equations above, k is a constant such that 0 < k < =. Given that (X, y) is a solution to the system of equations, what is one possible value of y? 14 -g/*-15 Зх + k %3D 136. In the equation above, j and k are constants. If the equation has infinitely many solutions, what is the value of jk ? LEVEL 5: PASSPORT TO ADVANCED MATH 137. If x + y = 2k – 1, and x² + y? = 9 – 4k + 2k2, what is xy in terms of k ? %3D A) k – 2 B) (k – 2)² C) (k + 2)² D) k² – 4 (r*y5)a(x®y5)$ = x$yi įk 138. In the equation above, j and k are constants. If the equation is true for all positive real values of x and y, what is the value of j – k ? A) 3 B) 4 C) 5 D) 6 366
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