2. Provide a graphical (one combined) solution for the system of linear inequalities below: y + ¾t > 3. .…...... .(i) 11t > 7y ..(ii) y+11>t ..(iii) ..(iv) t> 0.....
2. Provide a graphical (one combined) solution for the system of linear inequalities below: y + ¾t > 3. .…...... .(i) 11t > 7y ..(ii) y+11>t ..(iii) ..(iv) t> 0.....
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
Related questions
Question
![2. Provide a graphical (one combined) solution for the system of linear inequalities below:
y + ²t> 3.
..(i)
11t >7y
.(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).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4122852c-249b-476e-a01f-504646c7e09c%2Ff01863e7-e498-47f5-a71d-082523351875%2F6vacry_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. Provide a graphical (one combined) solution for the system of linear inequalities below:
y + ²t> 3.
..(i)
11t >7y
.(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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VIEWStep 2: Draw the solution region of inequality (i) .
VIEWStep 3: Draw the solution region of inequality (ii) .
VIEWStep 4: Draw the solution region of inequality (iii) .
VIEWStep 5: Draw the solution region of inequality (iv) .
VIEWStep 6: Find solution region of the system of inequalities.
VIEWStep 7: Note
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