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A.
Simplify
8 / (x + 9) + 5 / (x - 9)
B.
Solve for x
(5x - 3)2 = 25
C.
Find the x-intercepts of the graph of y = x2 + 18x - 12
D.
Name the x - and y - intercepts of 7x + 3y = 21
E.
A contractor charges a customer $182, listing $56 for materials and the rest for labor. If the contractor charged 3 hours labor, what is the hourly rate for labor?
The area of a rectangular athletic field is represented by the expression 12y^3+48y^2+24y square meters. Write an algebraic expression to represent one possible set of dimensions (in the sense "length times width") of the athletic field.
The vertex and axis of symmetry.
Three consecutive even integers are such that the square of the third is 100 more than the square of the second. find the three integers.
Exhibit the vertex and y-intercept for the quadratic expression y = x^2 - 4. How many zeros does this expression have? Exhibit those ordered pairs which constitute these zeros.
Let f: A → B and g: C → D. Define f x g = {((a, c), (b, d)): (a, b) ∈ f and (c, d) ∈ g}. Prove that fxg:AxC → BxD. For (a, c) ∈ A x C, find an explicit expression for (f x g)(a, c).
Type of the number
Solve the radical functions.
Identify the important characteristics of an exponential function. Explain the difference between the graph of an exponential growth function and an exponential decay function and give an example of each type of function.
Show how to make a change of variables x' = x - lamda in f (x) = 0 to reduce to a monic equation where the coefficient of x^2 is zero
The formula A=P(1+r)^2 gives the amount A in dollars that P dollars will grow to in 2 years at interest rate r (where r is given as a decimal), using compound interest. What interest rate will cause $2000 to grow to $2247.20 in 2 years?
A random sample of 91 employees of Eastern Electric Co. showed that the number of days missed by each worker last year due to illness was as follows:
Does every equation that contains radical expressions have a solution? Provide an example with your explanation.
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