Answer:
Equilibrium quantity = 5
Equilibrium price = 40
Explanation:
given:
p = -x²-3x+80
p = 7x+5
For the equilibrium quantity the price from both the functions will be equal
thus, we have
-x² - 3x + 80 = 7x+5
⇒ x² +3x + 7x + 5 - 80 = 0
⇒x² + 10x - 75 = 0
now solving for x
x²- 5x + 15x -75 = 0
x(x-5) + 15(x-5) = 0
therefore, the two roots of the equation are
x = 5 and x = -15
since the quantity cannot be in negative
therefore, the equilibrium quantity will be = 5
now the equilibrium price can be found out by substituting the equilibrium quantity in any of the equation
thus,
p = -(5)² -3(5) + 80 = 40
or
p = 7(5) + 5 = 40
Answer:
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Adolescence is the period of transition between childhood and adulthood. Children who are entering adolescence are going through many changes. This article offers advice for adolescents and parents to negotiate these changes.
The two that require medical imaging would be
<span>C)I and III </span>
Answer: K.E = 8.3 J
Explanation:
The given parameters are
Height h = 169.2 m
Mass m = 0.005kg
From conservation of energy, at the top of the monument, the total energy will be kinetic energy which is equal to the potential energy. That is,
K.E = P.E
And
P.E = mgh
Where g = 9.81 m/s^2
Substitutes all the parameters into the formula
P.E = 0.005 × 9.81 × 169.2
P.E = 8.2908 J
Therefore, the kinetic energy (KE) of the nickel in her shirt pocket at the top of the monument is approximately 8.3 Joule.
