Cumulative Exam — Cumulative exam Answers

As Tia solved the system of equations below, she transformed matrices at different steps during the process.She noted the following matrices.IIIIIIIVIn which order should the matrices be arranged when solving the system from start to finish?

The matrix below represents the distance in miles between three cities. A row label represents the city traveled from. A column label represents a city traveled to.What is the round trip distance in miles from city 1 to city 3?

What is the product?

If a polynomial function f(x) has roots and –6, what must be a factor of f(x)?

According to the Fundamental Theorem of Algebra, how many roots exist for the polynomial function?f(x) = (x3 – 3x + 1)2

The displacement, d, in millimeters of a tuning fork as a function of time, t, in seconds can be modeled with the equation . What is the frequency of the tuning fork?

A cleaning solution is made from vinegar, lemon juice, and water. The table below shows the part of the total solution that is in each element. Solution Components Solution ASolution BSolution CVinegar0.10.20.4Lemon Juice0.150.20.1Water0.750.60.5Mr. Allen needs 100 mL of a solution that is 30% vinegar, 15% lemon juice, and 55% water. How much of solution A will Mr. Allen need to make his cleaning solution?

Which transformations are needed to change the parent sine function to ?

What is the value of A in the matrix equation below?

In one day, Joe consumes 530 calories by drinking 1 serving of juice, 2 servings of milk, and 1 soda. Darius consumes 370 calories by drinking 2 servings of juice and 1 serving of milk. Marian consumes 510 calories by drinking 3 servings of milk and 1 soda. Using matrices to solve, how many calories are in 1 serving of milk?

What substitution should be used to rewrite x8 – 3x4 + 2 = 0 as a quadratic equation?

Julia is offered a job selling advertising for two different companies. Company A offers a base salary of $30,000 per year plus a year-end bonus equal to 3% of her total sales. Company B offers a base salary of $25,000 per year plus a year-end bonus equal to 5% of her total sales. Which statement best describes the two offers?

Which polynomial is factored completely?

The financial planner for a beauty products manufacturer develops the system of equations below to determine how many combs must be sold to generate a profit. The linear equation models the income, in dollars, from selling x plastic combs; the quadratic equation models the cost, in dollars, to produce x plastic combs. According to the model, for what price is each comb being sold?

Using Cramer’s Rule, what is the value of y in the solution to the system of linear equations below?

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

Which expression is equivalent to cos120°?

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

The graph below shows the function .Which statement is true?

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