write a polynomial function f(x) of least degree that has rational coefficients, a leading coefficient of 1, and 1, 2, and 3 as zeros.

Define the sprinkler line can be described by the equation : Imagine you want to add a sprinkler system and the location of one section of the sprinkler line can be described by the equation y=-1/2x-4 |

Explain combined total of hamburgers and cheeseburgers : On Friday, a local hamburger shop sold a combined total of hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold |

What types of depository institution are found in the us : What is the depository institutions, and what types of depository institution are found in the United States How do they act as intermediaries between savers and borrowers Why do they play this role |

How many of each should he make for maximum revenue : If each loaf of bread is sold for $2.50, and each muffin is sold for $1.15, define an equation to represent the baker's revenue (his sales) based on the number of loaves and muffins he makes. How many of each should he make for maximum revenue? |

Write a polynomial function : write a polynomial function f(x) of least degree that has rational coefficients, a leading coefficient of 1, and 1, 2, and 3 as zeros. |

What is the expression for the cost of the finished stone : Assuming there is no cost, what is the expression for the cost of the finished stone and identify the different terms in it. |

What is the variance of one throw of the dice : your playing dungeon and dragons an old-school pen and paper role playing game. the game uses an 8 sided dice, with numbers 1-8 on each face. the probability of rolling each number is 1/8. let y equal the sum of values from two independent rolls, t.. |

Find what is the value of the shaded part : points a & b are the midpoints of adjacent sides of the square. what is the value of the shaded part? |

Predict formula for predicting proportion of housework done : A researcher sureys a group of working married women and reports the following results for the first four surveyed: Person % of contribution to household income % contribution to housework x Zx Y Zy C1 601.34 70-1.15 F3 30 -1.34 100 1.61 |

## Important information about elliptic boundary value problemImportant information about Elliptic boundary value problem (lap) means the Laplacian Vrr means the second derivative of V with respect to r |

## Estimate the stopping distanceA very small spherical particle (on the order of 5 microns in diameter) is projected into still air with an initial velocity of ν0 m/sec, but its velocity decreases because of drag forces. |

## Find the expectation is a person buys two ticketsA lottery has one 2000.00 prize, two 1000.00 prizes and ten 500.00 prizes. Two thousand tickets are sold at 5.00 each. Find the expectation is a person buys two tickets? |

## Find a function that models the length lA boy who is 4 feet 2 inches tall stands near a street light that is 23 feet tall. Find a function that models the length L (in feet) of his shadow in terms of his distance d feet from the base of the street light. |

## Focus and directrix of parabola and ellipseFind the equation of a parabola whose vertex is (0,0) and directrix is the line y=3. Find the vertex, focus, and directrix of (x-2)^2=12(y+1). Find the latus rectum and graph the parabola, making sure that all points and axis are labeled. |

## What is the trial form for the particular solutionWhat is the trial form for the particular solution of y''+9y=2sin(3x)-1? State the trial form only. you don't need to solve it. |

## Is the poster an accurate representation of the paintingVan Gogh's painting Starry Night measures 92 cm long by 73 cm high. You buy a poster that shows an enlargement of the painting. The poster measures 120 cm long by 100 cm high. Is the poster an accurate representation of the painting?Hint: Is the p.. |

## Question about derivatives and concavityFind the derivative of f(x)= (3-4x^2)/(x^2-x-6) and then determine intervals of increase/decrease,local max and min values and points of concavity or inflection. |

## Question regarding objective functionAn objective function is to be maximized given the following constraints: x+2y=4, x-y=1, x=0, y=0. Find the vertices of the set of feasible solutions. |

## How many of the students scored between 16 and 82On a nationwide test taken by high school students, the mean score was 49 and the standard deviation was 11.The scores were normally distributed. Approximately how many of the students scored between 16 and 82. |

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