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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Which equation represents the relationship “4 less than a number is 10?”
Answers
Which 7-3 would be 4
Answer:
x - 4 = 10
x = 14
Step-by-step explanation:
Any variable can be used to represent the number, I choose to use "x" in this case.
x - 4 = 10
Inverse operations;
x - 4 = 10
+4 +4
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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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ОА
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Answer:
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Answer:
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Answer:
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Step-by-step explanation:
D) Vertically compressed
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=====================================================
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.
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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.Daniel baked 12 pies in 6 days Rates
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Answer:
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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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Answers
Answer:
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Step-by-step explanation:
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Equation I used:
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Answers
Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
I will start with (c)
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Answers
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Step-by-step explanation:
Two and ten divided by two equals 1 and 5 so 1/5
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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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Answers
Answer:
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16
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Answers
Answer:
Step-by-step explanation:
-7 is the correct.
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
The answer is 12.72 hope this helps
Step-by-step explanation:
You'll add them it's just like simple addition but you just have to know where the decimal point will be after adding
3.78
+8.94
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
That's how we got the 12.72
Hope you understand
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Answers
Answer:
[tex]A\approx1608.7\text{ yards}^2[/tex]
Step-by-step explanation:
We can use the alternate formula for the area of a triangle:
[tex]A=\frac{1}{2}ab\sin(C)[/tex]
Where a and b are the side lengths, and C is the angle between the side lengths.
We know that one side length is 60 and the other is 70.
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So, substitute 60 for a, 70 for b, and 50° for C. This yields:
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Evaluate using a calculator. Make sure you’re in Degrees Mode.
Therefore, the approximate area is:
[tex]A\approx1608.7\text{ yards}^2[/tex]
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Answers
Answer:
0.614
Step-by-step explanation: