The motion of an object that’s thrown 3m up at a velocity of 14 m/s can be described using the polynomial -5tsquared + 14t + 3 = 0. Factorizing the quadratic equation gives the time it takes for the object to hit the ground. Polynomials apply in fields such as engineering, construction and pharmaceuticals.Know More
If a 5,800-square-meter piece of land has a width that’s 15 m wider than its length, it’s possible to calculate its length and width by expressing the problem as a polynomial. Since the area of a rectangle is given by L x W, L (L+15) = 5800. Further manipulation gives L squared + 15L – 5800 = 0. On factoring, the equation becomes (L-80) (L+95) = 0. Thus, L+95 = 0 or L-80 = 0. Since length can’t be negative, L= 80m is the correct length for the piece of land.
If an operator reduces the bus fare by $0.25 for every additional passenger he gets, he has to figure out the point to stop doing that to remain profitable. If the fare for one passenger is $30, the profit can be expressed as P(x) = x (30 - 0.25 (x-1) or P(x) = -0.25 x squared + 30.25 x, where x is the number of passengers.Learn more about Algebra
Real-life examples of linear equations include distance and rate problems, pricing problems, calculating dimensions and mixing different percentages of solutions. One application of linear equations is illustrated in finding the time it takes for two cars moving toward each other at different speeds to reach the same point. Another example is estimating how much a shirt on sale for $20 and marked down by 35 percent cost before the sale.Full Answer >
Polynomials are often used to find the displacement of an object under the influence of gravity. They can also be used in real-life situations from financial planning to meteorology.Full Answer >
According to the iPracticeMath website, many people use polynomials every day to assist in making different kinds of purchases. The site points out that people are often unaware of how and when they are using algebraic polynomials.Full Answer >
A ramp forms an acute angle in relation to the ground, and a ladder forms an acute angle when leaned against a building. The sharply angled, pointed shape of a slice of pizza is another common example. One famous acute angle in pop culture occurs when the character Pac-Man opens his mouth to devour the dots.Full Answer >