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posledela
3 years ago
11

3. Is it possible to solve x (t ) for t, substitute it into y(t) to eliminate the parameter, t, and write it as a rectangular eq

uation with x and y instead?
Why or why not?

These are the equations I am working with:•x (t)=0.0411905(t^2)+(-0.164619)t+28.0114

and

• y (t)=-0.024127(t^2)+(-0.591143)t+(-87.4403)
Mathematics
1 answer:
Maslowich3 years ago
8 0

Answer: Yes

Step-by-step explanation:

Though x and y can be achieved in a system of equations. The equation

x (t)=0.0411905(t^2)+(-0.164619)t+28.0114

And

y (t)=-0.024127(t^2)+(-0.591143)t+(-87.4403)

Are not system of equations but rather two different models of equations. Nevertheless

To find t in the first equation, x(t) has to be equal to zero.

When the t is substituted in the second equation, t will completely disappear. Given the value of y(t) and vice versa.

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The low temperatures in Anchorage, Alaska, for a week were − 6, − 3, − 1, 1, − 3, − 9, and − 14 degrees Celsius. What two temper
Inessa05 [86]

The two temperatures could be removed so that the average of the remaining numbers is the same as the average of the original set of numbers are -1 and -9

Step-by-step explanation:

The formula of the average of a set of data is A=\frac{S}{N} , where

  • S is the sum of the data in the set
  • N is the number of the data in the set

∵ The low temperatures in Anchorage, Alaska, for a week were

   − 6, − 3, − 1, 1, − 3, − 9, and − 14 degrees Celsius

∴ The set of the data is { -6 , -3 , -1 , 1 , -3 , -9 , -14}

- Add the data in the set

∵ S = -6 + -3 + -1 + 1 + -3 + -9 + -14

∴ S = -35

∵ The set has 7 data

∴ N = 7

- Use the formula of the average above to find it

∴ A=\frac{-35}{7}

∴ A = -5

∴ The average of the original set of numbers is -5

To keep the average the same after removing two numbers multiply the average by the new number of data to find the new sum

∵ The number of data after removing two numbers is 5

∴ N = 5

∵ A = -5

- By using the rule of average

∴ -5=\frac{S}{5}

- Multiply both sides by 5

∴ -25 = S

∴ The new sum is -25

- Lets find which two numbers of have a sum of -10 because

   the difference between -35 and -25 is -10

∵ -1 + -9 = -10

∵ -6 + -3 + 1 + -3 + -14 = -25

∴ We could removed -1 and -9

The two temperatures could be removed so that the average of the remaining numbers is the same as the average of the original set of numbers are -1 and -9

Learn more:

You can learn more about the average in brainly.com/question/10764770

#LearnwithBrainly

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3 years ago
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