To find the vertex of a quadratic equation, determine the coefficients of the equation, then use the vertex x-coordinate formula to find the value of x at the vertex. Once the x-coordinate is found, plug it into the original equation to find the y-coordinate.
Answer:
Amount of material for chain link = 30 feet
Amount of material for rope = 50 feet
Step-by-step explanation:
Let the amount of chain link = X
The amount of rope be represented by Y
He bought a total of 80 feet of materials
Hence we have:
X + Y = 80 ....... Equation 1
Y = 80 - X
The chain-link cost two dollars per foot and the rope cost 1.50 per foot he spent a total of $135
X × $2 + Y × $1.50 = $135
2X + 1.5Y = 135 ......Equation 2
Substitute 80 - X for Y in Equation 2
2X + 1.5(80 - X) = 135
2X + 120 - 1.5X = 135
Collect like terms
2X - 1.5X = 135 - 120
0.5X = 15
X = 15/0.5
X = 30 feet
Substitute 30 feet for X in Equation 1
X + Y = 80 ....... Equation 1
30 + Y = 80
Y = 80 - 30
Y = 50 feet
Hence the amount of material he used for the chain link = 30 feet and the amount of material he used for the rope was = 50 feet
Answer:
is there more to the question? this does not make seince
Step-by-step explanation:
Answer:
5x+3y+5/2(5 over 2)
Step-by-step explanation:
Divide 10 by 2
divide 6 by 2
divide 5 by 2 and you stay at 5/2
Answer:
10ft
Step-by-step explanation:
Let assume the volume of the box be 480ft^3
Required
height h
Volume of the box = length * width * height
Substitute
480 = 8 * 6 * h
480 = 48 * h
h = 480/48
h = 10ft
Hence the height of the box if the volume of 480ft^3 is 10ft