2. Provide a graphical (one combined) solution for the system of linear inequalities below:y + t > 311t > 7y...(i)(ii)y + 11>t.(iii)t>0..........(iv)3. Tesla estimates that its profit expressed in thousands of dollars each month is given bythe expression:-6q2+30q+3210where q (in thousands) is the number of cars produced and sold in a month. Determinethe following:a. If Tesla's cost function is C(q) = 3210, state Tesla's variable cost per car.b. If Tesla wishes to make a profit greater than $2,910,000, calculate and state theinterval of value(s) for which this goal can be achieved.1. Classify the following series:a. 7, 9, 11, 13......b. n+2, 2n 4, 4n+8.2. Using a method of your choice, determine the quadratic factor and remainder when thecubic function r(q)=3q3 - 12q + 5 is divided by the linear factor (q - 2).

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Answered: 2. Using a method of your choice,…

Math

Algebra

2. Using a method of your choice, determine the quadratic factor and remainder when the

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter9: Quadratic Functions And Equations

Section9.7: Solving Systems Of Linear And Quadratic Equations

Problem 3GP

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Question

2. Provide a graphical (one combined) solution for the system of linear inequalities below:
y + t > 3
11t > 7y
...(i)
(ii)
y + 11>t
.(iii)
t>0.........
.(iv)
3. Tesla estimates that its profit expressed in thousands of dollars each month is given by
the expression:
-6q2+30q+3210
where q (in thousands) is the number of cars produced and sold in a month. Determine
the following:
a. If Tesla's cost function is C(q) = 3210, state Tesla's variable cost per car.
b. If Tesla wishes to make a profit greater than $2,910,000, calculate and state the
interval of value(s) for which this goal can be achieved.
1. Classify the following series:
a. 7, 9, 11, 13......
b. n+2, 2n 4, 4n+8.
2. Using a method of your choice, determine the quadratic factor and remainder when the
cubic function r(q)=3q3 - 12q + 5 is divided by the linear factor (q - 2).

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