Which of the following are the coordinates of the vertex of y = −x2 + 2x + 1
1 answer:
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Answer:
Step-by-step explanation:
3y > 2x + 12
This inequality will be represented by the a dotted line and solution area for the inequality will be shaded area (In red) above the dotted line.
2x + y ≤ -5
y ≤ -2x - 5
This inequality will be represented by a solid line and solution area will be the shaded area (in blue) below the solid line.
Therefore, common area of both will be the solution area for the system of inequalities.
Answer:
<u>It takes them 30/11 hours to paint them together.</u>
Step-by-step explanation:
This is known as a work problem (rate * time = work). We are given the individual times for Tom and Huck (6 hours and 5 hours respectively). However, we are not given the rates at which they can paint the fence. Since we know that the total work that they both do individually is 1 (there is 1 job to do), we can calculate the rates at which Tom and Huck paint the fence on their own:
We can isolate R{t} and R{h} to find the rates at which Tom and Huck work:
Now, we can calculate the time it takes for Tom and Huck to work together using the same formula (the combined rate is just the sum of Tom and Huck's individual rates):
Therefore, the time it takes them to paint the fence together is <u>30/11 Hours</u>