Which graph shows the solution to the system of linear inequalities?
2 answers:
Answer:
- See below
Step-by-step explanation:
<u>Given system:</u>
- y ≥ 2x + 1
- y ≤ 2x – 2
The solution is the common area shaded by the inequalities.
The lines are parallel because of same slope.
Both lines are solid because of equal sign in both inequalities.
The first inequality has a y-intercept of 1 and shaded area is to the left of the line since the value of y is greater as x increases.
The second inequality has a y-intercept of -2 and shaded area is to the right of the line since the value of y is greater as x increases.
The matching graph is the second picture (or attached below) and there is no solution.
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Answer:
The total amount of money Shanika and her friends want to raise is <u>$2400</u>.
Step-by-step explanation:
Given:
After a storm damages the community center, Shanika and her friends hold fundraising.
After the first event, they raise $240, which is 10% of the total amount that they want to raise.
Now, to find the total amount of money that Shanika and her friends want to raise.
Let the total amount of money that Shanika and her friends want to raise be .
As given 10% of fundraise is $240.
So, according to question:
<em>Multiplying both sides by 100 we get:</em>
<em>Dividing both sides by 10 we get:</em>
Therefore, the total amount of money Shanika and her friends want to raise is $2400.