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nature of mathematics

Questions and Answers of Nature Of Mathematics

In a can of mixed nuts, the ratio of cashews to peanuts is 1 to 6. If a given machine releases 46 cashews into a can, how many peanuts should be released?
In Problems 19–42, let w = 2, x = 1, y = 2, and z = 4. Find the values of the given capital letters. Y = (wy) + wy + 3x
a. Consult an algebra textbook and look up the procedure of completing the square. Solve al-Khwârizmî’s equation in Problem 59 by completing the square.b. Do you think the translation of the
Factor, if possible. a. 2x + 11x + 12 b. x + 3x + 5
Simplify the expressions in Problems 38–50. a. -5(2)+(-3)-4) - 6(-7) b. -8(3) 6(-4) -2(-8)
Outline a procedure for factoring.
What is a difference of squares? 5 4 = 3
If possible, completely factor the expressions in Problems 3–36. 10xy - 6x
If possible, completely factor the expressions in Problems 3–36. 5x+5
If possible, completely factor the expressions in Problems 3–36. 8xy - 6x
If possible, completely factor the expressions in Problems 3–36. 6x-2
If possible, completely factor the expressions in Problems 3–36. x - 4x +3 X
If possible, completely factor the expressions in Problems 3–36. x2x-3
If possible, completely factor the expressions in Problems 3–36. 9+x-zx
If possible, completely factor the expressions in Problems 3–36. 9-x-2x
If possible, completely factor the expressions in Problems 3–36. x - 7x + 12 X
If possible, completely factor the expressions in Problems 3–36. x - 7x-8
If possible, completely factor the expressions in Problems 3–36. x-x-30
If possible, completely factor the expressions in Problems 3–36. *1 + X6 + zx
If possible, completely factor the expressions in Problems 3–36. x - 2x - 35
If possible, completely factor the expressions in Problems 3–36. x - 6x- 16: X
If possible, completely factor the expressions in Problems 3–36. 3x + 7x10
If possible, completely factor the expressions in Problems 3–36. 2x + 7x-15
If possible, completely factor the expressions in Problems 3–36. 2x7x + 3
If possible, completely factor the expressions in Problems 3–36. 3x - 10x + 3
If possible, completely factor the expressions in Problems 3–36. 3x - 5x - 2
If possible, completely factor the expressions in Problems 3–36. 6y - 7y + 1
If possible, completely factor the expressions in Problems 3–36. 2x + 9x + 4
If possible, completely factor the expressions in Problems 3–36. 7x + 4x - 3
If possible, completely factor the expressions in Problems 3–36. 3x + x - 2
If possible, completely factor the expressions in Problems 3–36. 3x + 7x + 2
If possible, completely factor the expressions in Problems 3–36. 5x + 7x - 6x
If possible, completely factor the expressions in Problems 3–36. 8x + 12x + 4x
If possible, completely factor the expressions in Problems 3–36. 7x11x6x
If possible, completely factor the expressions in Problems 3–36. 3x + 3x 36x
If possible, completely factor the expressions in Problems 3–36. -x64
If possible, completely factor the expressions in Problems 3–36. x - 169 X
If possible, completely factor the expressions in Problems 3–36. 25x + 50
If possible, completely factor the expressions in Problems 3–36. 16x - 25
If possible, completely factor the expressions in Problems 3–36. - 1
If possible, completely factor the expressions in Problems 3–36. 18-1
Factor each expression in Problems 37–48 by using areas. r+5+6
Factor each expression in Problems 37–48 by using areas. x + 7x + 12
Factor each expression in Problems 37–48 by using areas. x + 4x + 3 X
Factor each expression in Problems 37–48 by using areas. 1+52+4 X
Factor each expression in Problems 37–48 by using areas. 8 + x9 + x
Factor each expression in Problems 37–48 by using areas. x + 2x + 2 X
Factor each expression in Problems 37–48 by using areas. -1
Factor each expression in Problems 37–48 by using areas. z -4
Factor each expression in Problems 37–48 by using areas. x+x-2
Factor each expression in Problems 37–48 by using areas. x+x-6
Factor each expression in Problems 37–48 by using areas. x-x-2
Factor each expression in Problems 37–48 by using areas. 9 - x - X x
If an auditorium has x2 - 50x - 600 seats arranged in a rectangular fashion, what is the number of rows, and how many seats are there in each row? UPPER BALCONY BOX www ecccel #333333 MIDDLE BALCONY
The area of a rectangle is x2 - 2x - 143 square feet. What are the dimensions of the figure?
What is the time needed to travel a distance of 6x2 + 5x - 4 miles if the rate is 3x + 4 mph?
What are the dimensions of a rectangle whose area is x2 - 4x - 165 square feet?
Factor each expression in Problems 53–58, if possible. (x+2)(x+4)+ (5x+6)(x 1)
Factor each expression in Problems 53–58, if possible. (2x + 1)(3x + 2) + (3x + 5)(x - 2)
Factor each expression in Problems 53–58, if possible. x6 - 13x + 36x
Factor each expression in Problems 53–58, if possible. x6 - 26x + 25x
Factor each expression in Problems 53–58, if possible. 20xy + 17xyz - 10xz
Factor each expression in Problems 53–58, if possible. 12xy + 10xyz - 12xz
Pick any three consecutive integers— for example, 4, 5, and 6. The square of the middle term is 1 more than the product of the first and third; for example, 25 is 1 more than 4(6) = 24. Prove this
Illustrate the property in Problem 59 geometrically.Data from Problem 59Pick any three consecutive integers— for example, 4, 5, and 6. The square of the middle term is 1 more than the product of
Evaluate a + cb, where a = 2, b = 11, and c = 3.
Evaluate the following, where a = 3 and b = 4.a. a2 + b2b. (a + b)2
Let a = 1, b = 3, c = 2, and d = 4. Find the value of the given capital letters. a. G = bc - a e. S= 2(b + d) 2c b. H = 3c + 2d f. T= c. I = 3a + 2b 3a + bc + b C d. R = a + bd
Suppose a certain population has two eye color genes: B (brown eyes, dominant) and b (blue eyes, recessive). Suppose we have an isolated population in which 70% of the genes in the gene pool are
Translate each formula into spreadsheet notation. a. x + 2 b. 6x + y 2x c. -3 + (-5) + z + (z + 3)
Consider the following spreadsheet with the indicated formulas.a. Describe what the spreadsheet would show if cells A3 . . . D3 were replicated in rows 4 and 5.b. Describe what the spreadsheet
Given that cell A2 has the value 12, show what the spreadsheet shown in the solution for Example 6a would look like.
Suppose we look at a spreadsheet and see the entries 1, 1, 2, 3, 5, 8, 13, 21, 34, 55 in successive entries in column A. Suppose that 1 is entered into cell A1 and 1 into cell A2. What is the formula
If $100 is deposited into an account that pays 5% interest compounded yearly, then at the end of the first year, the account will contain 100 + (0.05)*100 = $105. At the end of two years, the account
A colleague of mine speculated over lunch a few years ago:“Someday there will be just one programming language.IBM and Macintosh formats will merge. The trend is just the same as it is with the
Although the terms program and software can often be interchanged, there is a subtle difference in their usage. Discuss. What is meant when the term userfriendly is used to describe software?
In Problems 5–12, write each expression in spreadsheet notation.Let x be in cell A1, y in A2, and z in A3. 2 a. 3x b. 5x - 6y
In Problems 5–12, write each expression in spreadsheet notation.Let x be in cell A1, y in A2, and z in A3. a. 3x - 17 b. 14y + 12x
In Problems 5–12, write each expression in spreadsheet notation.Let x be in cell A1, y in A2, and z in A3. a. 12(x + 4) b. 15x + 7 2
In Problems 5–12, write each expression in spreadsheet notation.Let x be in cell A1, y in A2, and z in A3. a. 3x + 1 12 b. 3x + 12
In Problems 5–12, write each expression in spreadsheet notation.Let x be in cell A1, y in A2, and z in A3. a. (5-x)(x + 3) b. 6(x + 3) (2x - 7)
In Problems 5–12, write each expression in spreadsheet notation.Let x be in cell A1, y in A2, and z in A3. a. (x + 1) (2x - 3) (x+4) b. (2x - 3)(3x + 1)
In Problems 5–12, write each expression in spreadsheet notation.Let x be in cell A1, y in A2, and z in A3. . x x + 12 2,2 b. x + 3x 17 -
In Problems 5–12, write each expression in spreadsheet notation.Let x be in cell A1, y in A2, and z in A3. a. 1-/ b. 1 x - yz
In Problems 13–18, write each spreadsheet expression in ordinary algebraic notation. Let cell A1 represent the variable x, A2 the variable y, A3 is the variable z, B1 is a, B2 is b, and B3 is c. a.
In Problems 13–18, write each spreadsheet expression in ordinary algebraic notation. Let cell A1 represent the variable x, A2 the variable y, A3 is the variable z, B1 is a, B2 is b, and B3 is c. a.
In Problems 13–18, write each spreadsheet expression in ordinary algebraic notation. Let cell A1 represent the variable x, A2 the variable y, A3 is the variable z, B1 is a, B2 is b, and B3 is c. a.
In Problems 13–18, write each spreadsheet expression in ordinary algebraic notation. Let cell A1 represent the variable x, A2 the variable y, A3 is the variable z, B1 is a, B2 is b, and B3 is c. a.
In Problems 13–18, write each spreadsheet expression in ordinary algebraic notation. Let cell A1 represent the variable x, A2 the variable y, A3 is the variable z, B1 is a, B2 is b, and B3 is c. a.
In Problems 13–18, write each spreadsheet expression in ordinary algebraic notation. Let cell A1 represent the variable x, A2 the variable y, A3 is the variable z, B1 is a, B2 is b, and B3 is c. a.
In Problems 19–42, let w = 2, x = 1, y = 2, and z = 4. Find the values of the given capital letters. A = x +z+8
In Problems 19–42, let w = 2, x = 1, y = 2, and z = 4. Find the values of the given capital letters. B = 5x + y - z
In Problems 19–42, let w = 2, x = 1, y = 2, and z = 4. Find the values of the given capital letters. C = 10 - w W
In Problems 19–42, let w = 2, x = 1, y = 2, and z = 4. Find the values of the given capital letters. D = 3z
In Problems 19–42, let w = 2, x = 1, y = 2, and z = 4. Find the values of the given capital letters. E = 25-y
In Problems 19–42, let w = 2, x = 1, y = 2, and z = 4. Find the values of the given capital letters. F = w(y-x+ wz)
In Problems 19–42, let w = 2, x = 1, y = 2, and z = 4. Find the values of the given capital letters. G= 5x + 3z + 2
In Problems 19–42, let w = 2, x = 1, y = 2, and z = 4. Find the values of the given capital letters. H = 3x + 2w
In Problems 19–42, let w = 2, x = 1, y = 2, and z = 4. Find the values of the given capital letters. 1 = 5y = 2z
In Problems 19–42, let w = 2, x = 1, y = 2, and z = 4. Find the values of the given capital letters. J = 2w - Z N

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