A professor uses a video camera to record the motion of an object falling from a height of 250 meters. The function f(x) = –5x2 + 250 can be used to represent the approximate height of the object off the ground after x seconds. Which is the best estimate for the amount of time elapsed when the object is 120 meters off the ground? 4 seconds 5 seconds 6 seconds 7 seconds
Answers
5 x² = 250 - 120
5 x² = 130
x² = 130 : 5 = 26
x = √26 = 5.099 s ≈ 5 s
Answer: B ) 5 seconds
The best estimate for the amount of time elapsed when the object is 120 meters off the ground is 5 seconds
Functions and values
Given the function that represents the approximate height of the object off the ground after x seconds expressed as:
f(x) = -5x^2 + 250
In order to calculate the best estimate for the amount of time elapsed when the object is 120 meters off the ground, you will substitute f(x) = 120 and calculate 'x"
120 = -5x^2 + 250
-130 = -5x^2
x^2 =130/5
x^2 = 26
x = 5 seconds
Hence the best estimate for the amount of time elapsed when the object is 120 meters off the ground is 5 seconds
Learn more on functions here: brainly.com/question/25638609
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y=-9+x^2
add 9 to both sides
y+9=x^2
square root both sides
x=
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y + 9 = x^2
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√ is the square root symbol
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Answer:4.1
Step-by-step explanation:
Answer: 4.1
Step-by-step explanation:
Answers
Answer:
The complete question is
Find the percent of change. Round to the nearest tenth if necessary.
25 points to 50 points .
Notice that this change is an increase, to fint the percetange of change, we just need to divide and then multiply by 100 to have it in percetange expression:
So, the percentage of change is 100%, because the change is 25, that was the increase.
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So, the percentage of change is 40%, because that's the percentage of the difference.
32 pages to 28 pages .
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So, the percentage of change is 12.5%.
7 players to 10 players.
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Answers
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To solve the system of equations using elimination, we need to eliminate one variable by adding or subtracting the equations. Let's start by rearranging the first equation in standard form:
2x - 7y = 16
Next, let's rearrange the second equation so that both equations have the same number of x or y terms:
3y = 7 - x
We can rewrite this equation as:
x + 3y = 7
Now we have the following system of equations:
2x - 7y = 16
x + 3y = 7
To eliminate the y variable, we can multiply the second equation by 7:
7(x + 3y) = 7(7)
This gives us:
7x + 21y = 49
Now we can subtract the first equation from this equation:
(7x + 21y) - (2x - 7y) = 49 - 16
Simplifying the equation gives us:
7x + 21y - 2x + 7y = 33
Combining like terms, we get:
5x + 28y = 33
Now we have a new equation with only x and y terms. We can solve for one variable and substitute it back into either of the original equations to find the value of the other variable.
Step-by-step explanation:
A.false
B.true
Answers
- 5 * ( 4 ) - 6 = - 26
- 20 - 6 = - 26
- 26 = -26
B) true
hope this helps!