Question

1.) Give five (5) examples of quadratic equations written in standard form. Identify the values of a, b, and c in each equation.

2.) Name three (3) objects or cite three (3) situations in real life where quadratic equations are illustrated. Formulate quadratic equations out of these objects or situations then describe each.

Plss I need help.. ​

Answer 1

NUMBER 1:

1.) Give five (5) examples of quadratic equations written in standard form. Identify the values of a, b, and c in each equation.

• a. 3 + x² = - 6x

Standard form: x² + 6x + 3 = 0

a, b, and c: a = 1, b = 6, c = - 3

• b. x² - 3x = 18

Standard form: x² - 3x - 18 = 0

a, b, and c: a = 1, b = - 3, c = -18

• c. 3 + 2x² = 6

Standard form: 2x² - 3 = 0

a, b, and c: a = 2, b = 0, c = -3

• d. 3x + 2x² = 7

Standard form: 2x² + 3x - 7 = 0

a, b, and c: a = 2, b = 3, c = -6

• e. x² + 8x = - 8

Standard form: x² + 8x + 8 = 0

a, b, and c: a = 1, b = 8, c = 8

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NUMBER 2:

2.) Name three (3) objects or cite three (3) situations in real life where quadratic equations are illustrated. Formulate quadratic equations out of these objects or situations then describe each.

1 and 2.) A company is going to make frames as part of a new product they are launching. The frame will be cut out of piece of steel, and to keep the weight down, the final area should be 28 cm². The inside of the frame has to be cm by 6cm.

Area of steel before cutting :

• = (11 + 2x) × (6 + 2x) cm²
• = 66 + 22x + 12x + 4x²

Quadratic Equation = 4x² + 34x + 66

Area of steel after cutting out the 11 × 6 middle :

• = 4x² + 34x + 66 - 66

Quadratic Equation = 4x² + 34

3.) A ball is thrown straight up, from 3m above the ground, with a velocity of 14 m/s.

Add them up and the height(h) at any time(t) is :

• h = 3 + 14t - 5t²

Quadratic Equation = -5t² + 14t + 3 = 0

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HOPE IT HELPS FOR YOU =)