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1. Solve by factoring.
x2 – x – 30 = 0
2. Solve by factoring.
(x – 2)(x + 10) = 0
3. Find the zeros of the function.
f(x) = 5x2 + 15x – 200
4. Find the zeros of the function.
f(x) = 3x2 – 12x – 63
5. Suppose that the cost C, in dollars, of producing x calculators is given by
C = x2 – 50x + 2000
How many calculators can be produced for $5,600?
6. The length of a rectangle is 3 ft more than the width. If the area of the rectangle is 40 ft2, find the dimensions of the rectangle.
7. Factor completely, if possible.
12x2 – 56x –20
8. Factor completely, if possible.
7x2 + 48x + 7
Resigning Probabilities, A company finds that on average 20% of all new employees resign during their first year of employment
A ball is thrown straight downward with initial speed of 40 ft/s from the top of a 555 ft. building. How long does it take to read the ground and with what speed does that ball hit the ground?
Run the lab_03_01.sql script in the attached file to create the SAL_HISTORY table. Display the structure of the SAL_HISTORY table.
A surveyor fins that a tree on the opposite bank of a river, flowing due east, has a bearing of N 22 degrees 30' E from a certain point and a bearing of N 15 degrees W from a point 400 feet downstream. Find the width of the river.
eet light is hung 18 ft above street level. A 6-foot tall man standing directly under the light walks away at a rate of 3 ft/sec. How fast is the tip of the man's shadow moving? Show all work. Answer should be in fractional form with units as ft/s..
State the following, giving the domain for each function using set notation - set of natural numbers
the sides in cm of a triangle are x-y, 2into square root of xy and x+y respectively.show that the triangle is a right angled triangle and state the triangle law.
Assuming that Earth is a sphere of radius 6378 kilometers, what is the difference in the latitudes of Lynchburg, Virginia and Myrtle Beach, South Carolina, where Lynchburg is about 400 kilometers due north of Myrtle Beach? (Round your answer to tw..
A spherical balloon is inflating at a rate of 27 pi cubic inches per second. How fast is the radius of the balloon increasing when the volume is 112 cubic inches.
find the multiple integral under given condition using cylindrical coordinate.evaluate the triple integral
V3(R) represents the set of vectors in 3D space. What kind of geometrical objects are represented by the various subspaces of V3(R)?
a teacher has determined that the amount of time a student spends working on homework during seminar is a normal random
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