Cumulative Exam — Cumulative exam Answers

Matrices C and D are shown below. What values of a and b will make the equation CD = I true?

Which graph represents ?

The depth of the water, d, at the end of a pier changes periodically as a function of time, t, in hours as shown in the graph below. According to the model, the last low tide occurred at 5:00 a.m. When will the next low tide occur? Let t = 0 be 12:00 a.m.

What is the completely factored form of 8x2 – 50?

Which system of linear equations can be solved using the information below?

Which expression is equivalent to ?

Which equation is represented by the graph below?

Which statement best describes the effect on the graph of y = (x – 9)2 if the equation is changed to y = (x + 9)2?

Which expression is equivalent to ?

The matrix below represents a system of equations.Which matrix represents the solution to this system of equations?

Tiffany sells two kinds of homemade tomato sauce. A quart of her Tuscan sauce requires 6 tomatoes and 1 cup of oil. A quart of her marinara sauce requires 5 tomatoes and cups of oil. She makes $4 profit on each quart of her Tuscan sauce and $5 profit on each quart of her marinara sauce. She has 45 tomatoes and 10 cups of oil on hand. Tiffany wants to maximize her profits from selling the sauce.Let x represent the number of quarts of Tuscan sauce and y represent the number of quarts of marinara sauce Tiffany makes. What are the constraints for the problem?

Which graph shows this set of transformations applied to the parent cosine function? l A reflection across the x-axis l A shift of 2 units up l A vertical compression by a factor of 0.5

Solve for in the equation .

Which of the following is true regarding the solution to the logarithmic equation below?

In the diagram below, = . What is the value of m?

For what value of x does ?

Which graph shows the solution to the equation below?

Which expression is equivalent to cos120°?

What is the value of 53i 9?

According to a survey, 15% of city workers take the bus to work. Donatella randomly surveys 10 workers. What is the probability that exactly 6 workers take the bus to work? Round the answer to the nearest thousandth.