The graph of f(x) = 2x + 4 shifts five units to the right when it is replaced with the graph of f(x) = 2x − k. What is the value
2 answers:
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Answer:
- $9 and $7
Step-by-step explanation:
<u>The first equation:</u>
- x + 2y = 23
<u>The second equation:</u>
- 2x + 3y = 39
<u>Convert to slope-intercept form:</u>
- x + 2y = 23 ⇒ 2y = -x + 23 ⇒ y = -1/2x + 11.5
- 2x + 3y = 39 ⇒ 3y = -2x + 39 ⇒ y = -2/3x + 13
<em>The graph is attached</em>
<u>Intersection point is (9, 7)</u>
- Adult tickets cost $9
- Child tickets cost $7
<u>Given</u>:
The given inequality is
We need to determine the solution of the inequality in interval notation.
<u>Solution of the inequality:</u>
The solution of the inequality can be determined by simplifying the inequality.
Thus, we have,
Subtracting both sides by 3, we get;
Subtracting both sides by 2u, we have;
Dividing both sides by 4, we get;
Writing it in interval notation, we get;
Thus, the solution of the inequality is