Jason and Jerry are competing at a weightlifting competition. They are both lifting barbells containing 200 pounds of plates. Jason's barbell has 4 large and 10 small plates on it. Jerry's barbell has 6 large and 5 small plates on it. How much does each large and each small plate weigh?

The weight of :

Large plates = x = 25 pounds

Small plates = y = 10 pounds.

Step-by-step explanation:

Jason and Jerry are competing at a weightlifting competition.

Let us represent the weight of

Large plates = x

Small plates = y

They are both lifting barbells containing 200 pounds of plates. Jason's barbell has 4 large and 10 small plates on it.

4x + 10y = 200 Equation 1

Jerry's barbell has 6 large and 5 small plates on it.

6x + 5y = 200 Equation 2

Combining Equations

4x + 10y = 200 Equation 1

6x + 5y = 200 Equation 2

We solve using Elimination method

Multiply Equation 1 by 6 and Equation 2 by 4 to eliminate x

24x + 60y = 1200 Equation 3

24x + 20y = 800 Equation 4

Subtract Equation 4 from Equation 3

40y = 400

y = 400/40

y = 10 pounds

Solving for x using Equation 1

4x + 10y = 200 Equation 1

4x + 10(10) = 200

4x + 100 = 200

4x = 200-100

4x = 100

x = 100/4

x = 25 pounds

Therefore, the weight of

Large plates = x = 25 pounds

Small plates = y = 10 pounds.

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

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