5. What is the solution to the system of equations?
1 answer:
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Answer:
1.451 seconds. Hurry.
Step-by-step explanation:
The position(height, h) of the foot ball will be given by the equation:
h = -32.2t^2 + 45t + 2.5
The term -32.2t^2 consists of the acceleration caused by gravity at Earth's surface ( -32 ft/sec^2) and the term +45t accounts for the initial velocity. The + is assigned since the ball is moving vertically from ground. The negative sign in -32t^2 is due to the acceleration being towards ground. The term 2.5 accounts for the fact that the initial height of the ball is 2.5 feet above ground.
We can either calculate or graph with this function to find the time the ball spends in the air:
<u>Calculate: </u>
h = -32.2t^2 + 45t + 2.5
We need a value of t that would cause h to be 5.5 feet, the level it was caught:
5.5 = -32.2t^2 + 45t + 2.5
-32.2t^2 + 45t + 2.5 = 5.5
-32.2t^2 + 45t -3.0 = 0
Solve for t using the quadratic formula. I get a value of 1.33 seconds.
<u>Graph:</u>
See the attached graph. It confirms the 1.33 second value
Answer:
The correct answer is 72 + 4 × x 400.
Step-by-step explanation:
The dance committee of Pine Bluff Middle School earns $72 from a bake sale and will earn $4 for each ticket they sell to the Spring Fling dance.
The dance will cost $400.
Let x number of tickets the committee could sell.
Total money earned is 72 + 4 × x.
The committee should have some left over money also after spending for the dance which costs $400.
Thus the inequality to determine the number of tickets the committee could sell to have money left over after they pay for this year's dance is given by,
72 + 4 × x 400.