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Tell whether the ordered pair is a solution of the equation.

3x-5y=-1;9,5

Short Answer

Expert verified

The ordered pair 9,5 isnot a solution for the given equation.

Step by step solution

01

Step 1. Given information.

The given equation is x-2y=8.

02

Step 2. Calculation.

To check whether the ordered pair 9,5is a solution for the given equation or not, we will substitute coordinates of point 9,5in our given equation as shown below:

3x−5y=−1Givenequation3(9)−5(5)=−1Substitutingx=9andy=527−25=−12=−1

Since both sides of equation are equal, therefore, the ordered pair 9,5 is a solution for the given equation.

03

Step 3. Conclusion.

The given point is not the solution of the given equation.

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Most popular questions from this chapter

Spacecraft in 1997, the Pathfinder spacecraft landed on Mars. It contained a robotic vehicle named Sojourner that could roam up to 500 meters from the lander. The distance d (in meters) that Sojourner could travel in t hours is given byd=24t. How long would it take Sojourner to reach its maximum distance from the lander?

1. Copy and complete the table using the given equation


0

5

10

15

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25

30


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?

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2. Use your completed table to graph d=24t.

3. Find the point on the graph whose d-coordinate is 500, and estimate the t-coordinate of this point. How much time would it take Sojourner to reach its maximum distance from the lander?

A skydiver uses an altimeter to track altitude so that he or she knows when to open the parachute. The altimeter determines altitude by measuring changes in atmospheric pressure. The graph below shows how pressure varies with altitude as a skydiver falls from 12,000 feet to ground level. (The elevation of the ground is assumed to be 0 feet with respect to sea level.)

  1. As a skydiver fall, does the atmospheric pressure increases or decreases?
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Graph the equation.

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The height of a person is measured every year from the age of 1 year to the age of 50 years.

  1. Do the ordered pairs age,height represent a function? Explain.
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