State the domain and range of the function. y = x 2 + 3 Solve the system by elim
ID: 2896365 • Letter: S
Question
State the domain and range of the function.
y = x2 + 3
Solve the system by elimination or by any convenient method. (If there is no solution, enter NO SOLUTION. If the system is dependent, enter DEPENDENT.)
12x 9y
=
33
8x 6y
=
22
A jewelry maker incurs costs for a necklace according to the equation shown below.
C(x) = 38x + 1656
The revenue function for the necklaces is given below.
R(x) = 84x
How many necklaces must be sold to break even?
necklaces
Solve the equation by factoring. (Enter your answers as a comma-separated list.)
4t2 + 4t + 1 = 0
Use the following matrix to perform the indicated matrix operation, if possible.
A =
1
0
1
5
2
1
4
0
3
Find A + AT.
Use matrices C and D. Perform the indicated operation, when possible. (If not possible, enter IMPOSSIBLE in each answer blank.)
C =
2
3
1
5
D =
5
4
2
1
; CD
The given matrix is an augmented matrix used in the solution of a system of linear equations. What is the solution of the system?
1
0
0
5
0
1
0
3
2
0
0
1
3
The graph of the feasible region is shown.
= 11x + 9y
Find the corners of the feasible region. (Order your answers from smallest to largest x, then from smallest to largest y.)
(x, y) =
(x, y) =
(x, y) =
(x, y) =
Find the maximum and minimum of the given objective function (if they exist). (If an answer does not exist, enter DNE.)
maximum
f
=
minimum
f
=
11. Find the inverse matrix, if it exists. (If an answer does not exist, enter DNE.)
2
7
1
4
Write the expression as the sum or difference of two logarithmic functions containing no exponents.
6(x
3
x + 2
Solve the equation. Give your answer correct to 3 decimal places.
The sales decay for a product is given by the following formula where S is the monthly sales and x is the number of months that have passed since the end of a promotional campaign. (Round your answers to two decimal places.)
= 60,000e0.4x
(a) What will be the sales 9 months after the end of the campaign?
$
(b) How many months after the end of the campaign will sales drop below 1000, if no new campaign is initiated?
months
Use a probability tree or Bayes' formula to find the probability.
There are 3 urns containing coins. Urn I contains 3 gold coins, urn II contains 2 gold coins and 2 silver coins, and urn III contains 2 silver coins. An urn is selected and a coin is drawn from the urn. If the coin is silver, what is the probability that urn III was selected?
Explanation / Answer
Given the function f(x) = y = x^2 + 3
Domain of f(x) is R (set of real numbers)
Range of f(x) is (-infinty , +infinity)
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