| № |
Condition |
free/or 0.5$ |
| m66396 | A formation of a marching band has 10 marchers in the first row, 12 in the second row, 14 in the third row, and so on, for 8 rows. How many marchers are in the last row? How many marchers are there altogether? |
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| m66397 | A foundation invests $50,000 at simple interest, part at 7%, twice that amount at 4%, and the rest at 5.5%. What is the most that the foundation can invest at 4% and be guaranteed $2660 in interest per year? |
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| m66398 | A fourth-grade class decides to enclose a rectangular garden, using the side of the school as one side of the rectangle. What is the maximum area that the class can enclose using 32 ft offence? What should the dimensions of the garden be in order to yield this area? |
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| m66401 | A full house in poker consists of three of a kind and a pair (two of a kind). How many full houses are there that consist of 3 aces and 2 queens? (See Section 8.8 for a description of a 52-card deck.) |
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| m66405 | A function that will convert women s shoe sizes in the United States to those in Australia is
S(x) = (2x - 3) / 2
(Source: OnlineConversion.com).
a) Determine the women s shoe sizes in Australia that correspond to sizes 5, 7 1/2, and 8 in the
United States.
b) Find a formula for the inverse of the function.
c) Use the inverse function to determine the women s shoe sizes in the United States that correspond to sizes 3, 5 ½, and 7 in Australia. |
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| m66410 | A gardener is making a planting in the shape of a trapezoid. It will have 35 plants in the first row, 31 in the second row, 27 in the third row, and so on. If the pattern is consistent, how many plants will there be in the last row? How many plants are there altogether? |
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| m66411 | A gas tank has ends that are hemispheres of radius r feet. The cylindrical midsection is 6 ft long. Express the volume of the tank as a function of r. |
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| m66412 | A gazebo in the shape of a regular octagon has equal sides of 9 feet and an apothem of 10.9 feet.
a. If one side of a gazebo is open, and the other sides have a railing, find the cost of the railing if it sells for $7.90 per foot.
b. Find the area of the gazebo.
c. Find the cost of the gazebo s floor if the flooring costs $3 per square foot. Round to the nearest hundred dollars? |
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| m66419 | A golf ball is dropped from a height of 30 ft to the pavement. It always rebounds three-fourths of the distance that it drops. How far (up and down) will the ball have traveled when it hits the pavement for the 6th time? [8.3] |
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| m66420 | (a) Graph: f 1x2 = | x - 2 | + 3.
(b) Visually estimate the domain of f(x).
(c) Visually estimate the range of f(x). |
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| m66421 | A graph of a function is shown below. Find f(2), f(-4), and f(0). |
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| m66422 | A graph of a function is shown. Using the graph, find the indicated function values; that is, given the inputs, find the outputs.
(a) h(1), h(3), and h(4)
(b) t(- 4), t(0), and t(3)
(c) s(- 4), s(- 2), and s(0) |
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| m66423 | A graph of a polynomial function is given. On the basis of the graph:
a) Find as many factors of the polynomial as you can.
b) Construct a polynomial function with the zeros shown in the graph.
c) Can you find any other polynomial functions with the given zeros?
d) Can you find more than one polynomial function with the given zeros and the same graph?
1.
2.
3. For what values of k will the remainder be the same when x2 + kx + 4 is divided by x - 1 and by x + 1? |
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| m66424 | A graph of the function f(x) = x3 - 3x2 is shown below. Exercises show graphs of functions transformed from this one. Find a formula for each function.
(a)
(b)
(c) |
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| m66425 | A graph of y = f (x) follows. No formula is given for f. Make a hand-drawn graph of each of the following.
a. g(x) = -2f (x)
b. g(x) = f (2x) |
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| m66426 | A graph of y = f(x) follows. No formula for f is given. In Exercises graph the given equation.
(a) G(x) = - 2f(x)
(b) g(x) = 1/2 f(x)
(c) g(x) = f(- 1/2 x) |
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| m66427 | A graph of y = f(x) is shown below. No formula for f is given. Graph each of the following.
(a) y = f(x - 1)
(b) y = f(2x)
(c) y = -2f(x) |
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| m66428 | A graph of y = g(x) follows. No formula for g is given. In Exercises graph the given equation.
(a) h(x) = - g(x + 2) + 1
(b) h(x) = 1/2 g(- x)
(c) h(x) = g(2x) |
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| m66429 | a) Graph the function.
b) Estimate the zeros.
c) Estimate the relative maximum values and the relative minimum values.
1. f (x) = x ln x
2. f (x) = x2 ln x |
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| m66430 | a) Graph using a graphing calculator.
b) Approximate the zeros.
c) Approximate the relative maximum and minimum values. If your graphing calculator has a MAX-MIN feature, use it.
1. f(x) = x2e-x
2. f(x) = e-x2 |
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