Answer:
13.50 ≤ 1.20x + 3
Step-by-step explanation:
Janie is saving for a CD, which costs $13.50. Janie can earn more than that amount, but needs to save at least that much to buy the CD. So, the amount of money she has needs to be greater than or equal to $13.50.
Next, Janie has $3 to begin with. Although she already has some money to start with, that is still not enough to purchase her CD. To earn money, she will do chores ($1.20 per chore). We do not know the amount of chores she will do, so we can mark that as variable x.
If we put that all together, we will get 13.50 ≤ 1.20x + 3. If you solver this equation, you can solve how many chores she will have to do, but that is not part of the question!!
Now, for the graph. A closed dot represents if it is not only greater or less than, but it also has a possibility to be equal as well. So, this dot will be closed. As I said before, the amount of money she has all together has to be greater than or equal to $13.50. Starting from the dot, you will draw the arrow to the right, which symbolizes that all of these numbers are the solution.
I hope this helped you! Have a great rest of your day.
Question 1)
Given: F(x) = 3x^2 + 1, G(x) = 2x - 3, H(x) = x
F(G(x)) = 3(2x - 3)^2 + 1
F(G(x)) =3(4x^2 - 12x + 9) + 1
F(G(x)) = 12x^2 - 36x + 27 + 1
F(G(x)) =12x^2 - 36x + 28
Question 2)
Given: F(x) = 3x^2 + 1, G(x) = 2x - 3, H(x) = x
H -1 (x) = x (inverse)
The answer is 38.8 repeating. Might as well just round it
Answer: x ≤ 950
Step-by-step explanation:
5,225.00÷5.50
= 950
Answer:
(3, 2)
Step-by-step explanation:
To be considered part of a solution set for the inequality provided, a given point must lie within the shaded region that is graphed. Since we want to find the point that is <em>not</em> included in the solution set for the inequality, we need to find the point that does <em>not</em> lie in the shaded region.
Let's test each point to see which doesn't lie in the region. Refer to the image below if you're having trouble graphing the points:
- (0, 6): This point lies in the shaded region, so it is not our answer.
- (1, 5): This point lies in the shaded region, so it is not our answer.
- (2, 4): This point lies in the shaded region, so it is not our answer.
- <u>(3, 2): This point </u><u><em>does not</em></u><u> lie in the shaded region, so it is our answer.</u>
<u></u>
Hope this helps!
