A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot.
y=-16x^2+228x+71
Answers
Answer:
883.3
Step-by-step explanation:
thats all.
An equation is formed of two equal expressions. The maximum height reached by a rocket, to the nearest tenth of a foot is 883.3 feet.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
To find the maximum height through which the rocket will reach, we need to differentiate the given function, therefore, we can write,
y=-16x²+228x+71
dy/dx = -16(2x)+228
Substitute the value of dy/dx as 0, to get the value of x,
0 = -32x + 228
228 = 32x
x =7.125
Substitute the value of x in the equation to get the maximum height,
y=-16x²+228x+71
y=-16(7.125²)+228(7.125)+71
y=883.3feet
Hence, the maximum height reached by the rocket, to the nearest tenth of a foot is 883.3 feet.
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What is the equation represented by this line?
ANSWER ASAP GIVING BRAINLEST
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Answer:
the linear equation is y= -4/3x + 2
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y=-x+2
Step-by-step explanation:
In 1-4, write an equation in slope-intercept form to represent each table (just the first 4)
Answers
Answer:
Q1 y = 17/2x - 2
Q2 y = -3x + 14
Q3 y = 1/4x
Q4 y = 1/8x + 10
Step-by-step explanation:
See, the problem here is, you did everything to NOT convert the decimals into fractions. You would´ve had the right answers if you just learned to deal with the fractions. I´ll only going to be explaining 2 questions since there´s four of them.
Question Two
You take two points from the table, then you do y2 - y1 over x2 - x1. -1 - 5 / 6 - 3 = -6/3 and 3 divided by -6 is -3. Which should give you "m" the slope. Which the slope for this question is -3. To find "b" our y-intercept, we will need to plug in the points from one of the two points we took in the chart into the format of y = mx + b. I chose to do, 5 = -3(3) + b. Multiply m times the x, 5 = - 9 + b. So now, we add 9 to itself to cancel itself out and add it to 5. Which gives us, 14 = b. So our equation is, y = -3x + 14
Question 3
This one is relatively easy, since looking at the table we know theres no b or m. Just a constant rate times x. The same thing we did the last question, take two points from the equation. y2 - y1 over x2 - x1. 1 - 0 over 4 - 0. Which gives us 1/4. 1/4 is our constant rate of change. y = 1/4x
The equation in slope intercept form to represent each table is
Q1 y = 17/2x - 2 Q2 y = -3x + 14 Q3 y = 1/4x Q4 y = 1/8x + 10What is slope intercept form ?You ought to be familiar with two-variable linear equations. You should specifically be aware that the graph of these equations is a line. Check out our introduction to two-variable equations if this is new to you.Additionally, you should be knowledgeable with the y-intercept, x-intercept, and slope of linear equations.Y = mx + b, where m denotes the slope and b the y-intercept, is how the equation of the line is expressed in the slope-intercept form. We can see that the y-intercept of the line in our equation, y = 7 x + 4, is 4.Q2 : Then, you apply y2 - y1 over x2 - x1 over the two points you took from the table. In other words, 3 divided by -6 is equal to -3. This ought to give you the slope "m". Which means that this question has a slope of -3. We must enter the points from one of the two points we picked from the chart into the formula y = mx + b in order to determine "b," our y-intercept. I decided to do 5 = -3 (3) + b. 5 = - 9 + b when the x is multiplied by m. Thus, we add 9 to itself in order for it to cancel out and then add it to 5. The result is that 14 = b. Our equation is therefore y = -3x + 14.Q3 : This one is quite simple because it is obvious from the table that there is no b or m. just a fixed rate multiplied by x. Take two points out of the calculation, just like we did with the previous question. Over x2 - x1 is y2 - y1. 1 - 0 over 4 - 0. thereby giving us 1/4. Our constant rate of change is 1/4. y = 1/4xLearn more about Slope intercept form refer :
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please help thank you
Answers
Answer:
B
Step-by-step explanation:
A=4 so its wrong cause the original one is 10-12=-2
Brainlest-Pls help me pls thank you sm In advance
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
steeper
Step-by-step explanation:
D) Vertically compressed
E) Flatter
=====================================================
Explanation:
An example would be if a = 0.5 which leads to the graph being half as tall as it used to be since 1/2 = 0.5; notice how a = 0.5 makes 0 < a < 1 true. Since the graph is squished vertically, the graph is flatter.
We don't have a reflection over the x axis since 'a' is not negative.
----------------
Extra info:
If a > 1 then the graph is stretched vertically to make it taller than it used to be. Eg: a = 5 leads to the graph being 5 times taller than before which also would make it steeper too. The value of d handles the vertical shifting. If d > 0, then we shift up d units. If d < 0, then we shift down |d| units.6. You have 220 feet of fencing material to enclose a rectangular area for your pet animals. Let x = the length of the rectangular enclosure. (a) [7 points] Set up the function A(x) that represent the enclosed area. (b) [7 points] What should be the dimensions of the enclosed area? (c) [2 points] What is the maximum area of the enclosed area?
Answers
Answer:
I will start with (c)
(c) What is the maximum area of the enclosed area?
the maximum area of a rectangle is always given by a square figure
since the square has 4 equal sides, each side will be 220 / 4 = 55 ft long
maximum area = 55 x 55 = 3,025 ft²
(b) What should be the dimensions of the enclosed area?
the dimensions would be 55 ft in length by 55 ft in width
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perimeter of the rectangle = 220
we have 4 equal sides, so
A(x) = x²
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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3.78
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12.72
When you are adding you start from the back with back I mean the end so when you add 8 plus 4 it's going to be 12 then you write or type the 2 and then carry the 1 and add it to the 7 which is going to be 8 then you add the 8 to the 9 which is going to be 17 that's why we have the 7 there then you carry 1 and add it to the 3 which is going to be 4 and then 4+8 is going to be;12
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Answers
Answer:
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
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