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You are a high school math teacher and are introducing matrices to the classroom next week.
Show your work step by step. Compute the discriminant. Then determine the number and type of solutions for the given equation.
The figure above has been divided into nine squares, the smallest one, darkly shaded, has sides of length one and the lightly shaded square.
Write a paragraph or two comparing and contrasting the two methods. Explain which method you prefer and why.
On Tuesday he drove for 6 hours at the same average speed. Write a rational expression for his distance on Tuesday.
A forensic scientist uses the expression 72.6 + 2.5T to estimate the height in centimeters of a female with a tibia of length T centimeters.
P dollars is invested at an annual interest rate R for one year. If the interest is compounded semi-annually, then the polynomial P (1+ r/2)^2.
How would you use this formula to multiply 201 by 199? Find at least one more pair of numbers that can be multiplied this way.
Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Write and factor the trinomial.
Mathematicians have been searching for a formula that yields prime numbers. One such formula was x2- x + 41.
Write a mathematical model (linear equation) that allows the calculation of the cost of the hamburger based on buying any number of pounds?
Venture capital. Henry invested $12,000 in a new restaurant. When the restaurant was sold two years later, he received $27,000.
Janice earns time and a half overtime when she works more than eight hours on a weekday or on Saturday.
A physician injects 5 mg of dye into a vein near the heart of a patient and by monitoring the concentration of dye in the blood over a 24-second period
Barn painting. Melanie can paint a certain barn by herself in x days. Her helper Melissa can paint the same barn by herself in 2x days.
A car dealer advertised a big sale by stretching a string of banners from the top of the building to the edge of the driveway.
A family makes a 43.25 km trip in 5.5 hours. On the first part of the trip they crossed a lake in a canoe paddling at 12 km/h.
Determine whether each relation is a function. In addition, provide reasons for identifying a relation as a function.
An echo bounces from a building exactly 1.00s after you honk your horn. How many feet away is the building if the air temperature is 20.0C?
At 10:00 a.m., train A leaves the station heading east at 40 m.p.h. At 11:00 a.m., train B leaves the same station heading North 30 degrees.
Simplify the expression, and identify the constants, coefficients, and variables in the simplified expression.
A square plywood platform has a perimeter which is 9 times the length of a side, decreased by 15. Find the length of a side.
If he answered 10 out of the first 12 questions asked correctly but missed 3/4 of the remaining questions, how many questions were on the test?
A small walkway surrounds the pool. The walkway is a constant 2 feet wide and has an area of 196 square feet. Find the dimensions of the pool.
If a ball is thrown downwards from a height of 128 feet with an initial velocity of 32 feet per second and its height.