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Vinvika [58]
3 years ago
5

The team first experiments with changing the position of the curved pit. In the computer program, the vertex begins on the origi

n, and the curve is modeled by the parent quadratic equation, y = x2. Match each description with the equation that will create that pit.

Mathematics
1 answer:
Advocard [28]3 years ago
6 0

Answer:

Step-by-step explanation:

This question is incomplete; find the complete question in the attachment.

Given curve is modeled by the quadratic equation,

y = x²

If the curved pit is shifted 2 units down,

Equation of the translated curve will be,

y = x² - 2

If the curved pit is translated (shifted) by 2 units left,

Equation of the new curve will be,

y = (x + 2)²

If the curved pit is shifted by 2 units right,

Equation of the translated curve will be,

y = (x - 2)²

If the curved pit is shifted 2 units up,

Equation of the translated curve will be,

y = x² + 2

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In the top row of an chessboard, Tom writes the values 1, 2, 4, 8, 16, 32, 64, 128. In the leftmost column, Tom writes the value
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sum\ of\ the\ values\ in\ the\ top\ row:\\\\S=1+2+4+8+16+32+64+128= \frac{1-2^8}{1-2} =2^8-1=255\\\\ the\ sum\ of\ all\ the\ numbers\ on\ the\ chessboard:\\\\S\cdot1+S\cdot3+S\cdot9+S\cdot27+S\cdot81+S\cdot243+S\cdot729+S\cdot2187=\\\\=S\cdot(1+3+9+27+81+243+729+2187)=255\cdot \frac{1-3^8}{1-3} =\\\\=255\cdot \frac{-6560}{-2} =255\cdot3280=836,400\\\\Ans.\ the\ sum\ of\ all\ the\ numbers\ on\ the\ chessboard\ is\ 836,400
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3 years ago
You return a book that was 6 days overdue. Including a previous unpaid balance
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What is the coast of each day it being overdue? Also what was the previous unpaid balance?
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4 years ago
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Aldos coffee shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Aldo $5.80 per pound, and type of
LuckyWell [14K]
Let A represent amount of Type A coffee pounds used. 
Let B represent amount of Type B coffee pounds used

A + B = 156 
B = 156 - A 
A = 156 - B

5.80A + 4.65B = 826.60 
580 (156 - B) + 4.65B - 826.60 = 0 
904.8 - 5.80B + 4.65B - 826.60 = 0
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68 = B
B = 68 pounds of Type B coffee

There's many more steps you can take to check and etc but am too lazy to put down sorry. 
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3 years ago
two different subtraction problems that use only odd numbers for numerators and each have different of 3/4.​
Irina18 [472]

Answer:

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  • 5/3 - 11/12
  • 5/4 - 1/2
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  • 5/6 - 1/2
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Step-by-step explanation:

We did a systematic search for subtraction problems of this type, eliminating ones that are too trivial, such as 1/1 - 1/4 and equivalents of those with integers added, such as 3/1 - 9/4. Even so, there are an infinite number of possibilities. some of the ones involving larger numbers in the range we looked at include ...

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A reasonable approach to doing this by hand seems to be to choose a denominator for the minuend, then a denominator 4 times that value for the subtrahend. Express 3/4 using the latter denominator, and find two numbers that differ by that numerator, one of which is divisible by 4, but not by 8.

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Note that if you choose an even denominator, then the exact procedure will vary depending on what power of 2 is a factor of the denominator.

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Answer:

Step-by-step explanation:

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