Answer:
0 solutions
Step-by-step explanation:
These system of equations are inconsistent (parallel to each other) which means that there are no solutions to this system.
Answer:the greatest number of pieces that can be cut is 2
Step-by-step explanation:
The total length of ribbon available is 3/4 meter. Sunday needs pieces measuring 1/3 meter for their project. This means that each length needed would be exactly 1/3 meter.
The number of pieces measuring 1/3 meter that can be cut from the ribbon would be
(3/4)/(1/3) = 3/4×3/1 = 9/4 = 2.25
Since the length needed is exactly 1/3 meter, the greatest number of pieces that can be cut will be 2
Step-by-step explanation:
For a quadratic equation y = ax² + bx + c, the vertex (the maximum or minimum point) is at x = -b/(2a).
1) y = -0.5t² + 2t + 38
The maximum is at:
t = -2 / (2 × -0.5)
t = 2
The maximum height is:
y = -0.5(2)² + 2(2) + 38
y = 40
The coordinates of the vertex are (2, 40). That means the missile reaches a maximum height of 40 km after 2 minutes.
2) y = -4.9t² + 12t + 1.6
The maximum is at:
t = -12 / (2 × -4.9)
t = 1.22
The maximum height is:
y = -4.9(1.22)² + 12(1.22) + 1.6
y = 8.95
The coordinates of the vertex are (1.22, 8.95). That means the missile reaches a maximum height of 8.95 m after 1.22 seconds.
3) y = -0.04x² + 0.88x
The maximum is at:
x = -0.88 / (2 × -0.04)
x = 11
The maximum height is:
y = -0.04(11)² + 0.88(11)
y = 4.84
The maximum height of the tunnel is 4.84 meters.
The maximum width is when y = 0.
0 = -0.04x² + 0.88x
0 = -0.04x (x − 22)
x = 22
The maximum width is 22 feet.
Step-by-step explanation:
Try to simplify 45/75 as much as you can, or just use a calculator. Then, multiply your result by 100% to get the answer.
Answer:
The answer is below
Step-by-step explanation:
What is the equilibrium price and the quantity for the market whose quantity demanded and quantity supplied are given: Qd=220-5P and Qs= -20+3P?]
Solution:
The equilibrium price of a goods is the price at which the quantity of goods supplied is equal to the quantity of goods demanded. The equilibrium price can be determined by the supply and demand curve. The equilibrium price is the price at which the point of intersection of the supply and demand curve.
At equilibrium:
The equilibrium price is 30.
The equilibrium quantity = 220 - 5p = 220 - 5(30) = 70
