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1. Determine whether the lines will be perpendicular when graphed.
3x - 2y = 62x + 3y = 6
2. Alice's Restaurant has a total of 205 seats. The number of seats in the non-smoking section is 73 more than twice the number of seats in the smoking section. How many seats are in each section?
3. Solve the system of equations by the substitution method
x + 3y = 32-3x + 2y = 3
4. Solve the system of equations
x + y = 5x - y = -9
5. Ricks Paint Store sells a special shade of pink paint (Ricky's Blush) which can be made from red paint and white paint. The amount of red paint should be three times the amount of white paint. How much of each kind of paint is needed to make 264 gallons of Ricky's Blush?
Assignment Expectations:
Define a system of equations.
Solve systems of equations with two and three variables.
Profit & loss problem of one variable quadratic equation.
Find the conditional probability.
q1. develop the estimated regression equation that relates line speed the number in defective parts found. q2. use the equation to forecast the no. of defective parts found for a line speed of 50 ft /sec. line speed no. of defective parts 18 21 19 19..
Apply the order of operations to solve.
Complete the table of values for the function
Find the slope of a line.
State the center and the radius of the circle represented by the equation. State the domain of the function g(x) = (x - 4) / (2x - 3).
Type an integer or a simplified fraction. Use a comma to separate answers as needed. Type N if the solution is the empty set.
Solve the quadratic and algebraic expressions
Discuss the difference in graphing a function using intercept method vs. plotting points. Do you always have to solve for y when graphing a line? Which method do you find best to use when graphing?
The current I in ampers, flowing through a particular ac curcuit at time t seconds is I = 120sin (70πt -π/6). What is the period of the current?
When we square a product, we square each factor in the product. For example, (3b)^2= 9b^2. Explain why we cannot square a sum by simply squaring each term of the sum.
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