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1. Solve the following systems of linear equations. Solve one using addition and one using substitution. State which method you are using for which system...
a) 4x - 3y = 10 & y - 20 = -6x
b) y = 3x + 6 & -6x + 2y = 12
2. You are buying coffee beans for your new business, "The Algebra Café." You discover that low grade beans sell for $0.80 a pound, and high grade beans sell for $1.45 a pound. To meet the demands of the upcoming month, you need to buy a total of 5000 pounds of beans. You must spend the remainder of your bean money... $6, 500.
Let "x" be the number of pounds of low grade beans and let "y" be the number of pounds of high grade beans that you buy.
Write a system of linear equations (two) that describe the situation above and solve for the weight of each grade bean that you need to buy.
3. Describe the graph of the following system of absolute value inequalities. You can use a graph or describe the system in words (just be specific).|x| > 3 and |y| > 1
in physics energy is defined as the ability to do work. when most people think of energy they think of electricity. the
In solving an equation involving radicals, it is sometimes necessary to square each side of the equation. But doing this can introduce extraneous roots, which do not satisfy the original equation.
Describe two laws of exponents and provide an example illustrating each law. Explain how to simplify the expression. How do the laws work with rational exponents?
Find all the points of inflection of f(x). Determine the concavity of each part of the graph, showing your results in a table. Sketch the graph on a suitable scale showing the concavity and points of inflection.
A grain silo in the shape of a right cylinder holds 1000 cubic meters of grain. If the radius of the silo is 5 meters find the height of the silo.
1. describe fractional parts. what are the two distinct requirements of fractional parts? explain how childrens
They'll need to follow a path to get to the picnic spot. A map of the path is based on a scale of 1:30,000, in cm. If the path is 12 cm on the map how many kilometers is the actual path?
Find and label the vertex and the line of symmetry. Graph the function. F(x)= 3(x-2)2 . Find and label the vertex and the line of symmetry. Graph the function f(x)=4x2
Use the product rule to simplify the expression. Write the answer in exponential notation.
Evaluate the polynomial for x=3 and for x=-3. Show Work.-2x3 + 8x2 - 4x - 6(the 3 is above & to right of x) (the 2 is above & to right of x)
compute the mean and variance of the following discrete probability distribution.x
Multiply the matrices.
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