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15. If c is a constant in the equation 10x^2+c=-5x, and the equation has no real solutions,
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8. For all positive values of y, the expression 3/(y+c) is equivalent to 15/(y+30).
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5. A school classroom with a total of 4,200 floor tiles is divided into a 30 square-foot lab area
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2. In a shipment of 45,000,000 shirts, 4,950,000 are white. What percentage of the shirts are white
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22. y=5kx^2+2x+3 The system of equations above has exactly one solution. If k is a constant,
0:03:35
20. Function g reaches its maximum value when x=a. If g(x)=-6x^2-30x-24, what is the value of a?
0:02:53
19. The longest side of right triangle ABC is opposite angle B. If sin(A)=9/41, what is the value
0:02:45
13. The table above shows the exponential growth of a type of yeast over time s, in seconds.
0:04:11
12. A triangle with an area of 18 square units has a base of (m+5) units and a height of m units.
0:03:01
11. In parallelogram ABCD shown above, the length of (AB) is one-third the length of (AD) The
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8. What is the negative solution to the equation 32/a=a-4?
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5. The total amount of plastic remaining to be recycled in a facility over x shifts is represented
0:06:23
50. Let P(t) be the percentage of Americans under the age of 18 at time t. The table gives values of
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49. Sketch the graph of a function f that satisfies all of the following conditions: The domain of f
0:06:30
45. (a) If f(x)=√(3-5x), use the definition of a derivative to find f'(x). (b) Find the domains of
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44. Trace or copy the graph of the function. Then sketch a graph of its derivative directly beneath.
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43. Trace or copy the graph of the function. Then sketch a graph of its derivative directly beneath.
0:01:37
42. Trace or copy the graph of the function. Then sketch a graph of its derivative directly beneath.
0:05:22
37. The displacement (in meters) of an object moving in a straight line is given by s=1+2t+1/4 t^2,
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34. Use the Intermediate Value Theorem to show that there is a root of the equation in the given
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31. Show that the function is continuous on its domain. State the domain. h(x)=xe^sinx
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30. Let g(x)={2x-x^2 if 0≤x≤2, 2-x if 2⋖x≤3, x-4 if 3⋖x⋖4, π if x≥4. (a) For each of the numbers 2,,
0:04:30
29. Let f(x)={(√(-x) if x⋖0, 3-x if 0≤x⋖3, (x-3)^2 if x⋗3 (a) Evaluate each limit, if it exists.
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22. Use graphs to discover the asymptotes of the curve. Then prove what you have discovered.
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