Algebra 2.. Please help!
2 answers:
Given
,
we can use Gaussian elimination to find the point of intersection.
Let's find a term we want to cancel. We could either multiply the first equation by 3 to cancel the x-terms, or multiply by 5 to cancel the y-terms.
We have now solved for x, but we need to find y. We can substitute our value for x back into any of the two equations.
So, the point is (28, 8).
Answer choice C.
If your teacher doesn't require you to show your work (and this tip is especially useful for the SAT and ACT), you can save a lot of time by simply plugging-in the solutions from the answer choices to see which one works.
we can use Gaussian elimination to find the point of intersection.
Let's find a term we want to cancel. We could either multiply the first equation by 3 to cancel the x-terms, or multiply by 5 to cancel the y-terms.
We have now solved for x, but we need to find y. We can substitute our value for x back into any of the two equations.
So, the point is (28, 8).
Answer choice C.
If your teacher doesn't require you to show your work (and this tip is especially useful for the SAT and ACT), you can save a lot of time by simply plugging-in the solutions from the answer choices to see which one works.
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Given:
The height h of an object after t seconds is
The height of a neighboring 50-foot tall building is modeled by the equation h=50.
The time (t) when the object will be at the same height as the building is found to be t = –2 and t = 5.
To find:
The statement which describes the validity of these solutions.
Solution:
We have,
Here, t is the time in seconds.
For t=-2,
For t=5,
So, the value of h is 50 at t=-2 and t=5.
We know that time is always positive so it cannot be negative value. It means t=-2 is not possible.
The solution t = 5 is the only valid solution to this system since time cannot be negative.
Therefore, the correct option is C.