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Prove or disprove each of the following:
a. The sum of a rational number and an irrational number is an irrational number.
b. The product of two rational numbers is a rational number.
c. The product of two irrational numbers is an irrational number.
d. The product of a rational number and an irrational number is an irrational number.
Determine the quadratic number fields Q[sqrt(d)] that contain a primitive nth root of unity, for some integer n.
If a graph shows all of the possibilities for the no. of refrigerators and the no. of TVs that will fit into an 18 wheeler, will the truck hold 71 refrigerators and 118 Tvs?
Let's explore some more characteristics of functions and their graphs. We can classify a function as even, odd, or neither. Explain what this means and use your explanation to answer the following.
Calculate the marginal cost of the bags.
Given a 1-variable linear equation 10z-4=86. Explain the techniques, and show the steps used for solving this equation. Check if the solution is correct.
1. give a scenario that could be modeled like a logarithmic function and explain why it is logarithmic.2. compare and
Determine where the demand is elastic, inelastic, and of unit elasticity with respect to price. Use the results of part (a) to determine the intervals of increase and decrease of the revenue function and the price at which revenue is maximized.
Make a cycle decomposition
Compute equations for the vertical and horizontal asymptotes
Find the range of f(x)=2x+4 for the domain {-4,-1,3,4].
Find the vertex,line of symmetry, and the maximum or minimum value of f(x). Graph the function. F(x)= 5 (x+2)2+5 .
find the measure of an angle whose complement is eight times its
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