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slavikrds [6]
2 years ago
7

Joanna has a board that is 6ft long. she cuts it into pieces that are each 1/4 foot long. write an equation to represent the num

ber of pieces she cut.
Mathematics
2 answers:
daser333 [38]2 years ago
7 0

Answer: x (1/4) = 6

Step-by-step explanation:

Hi, to answer this question we have to write an equation.

The length of each piece (1/4ft) multiplied by the number of pieces cut, will be equal to the total length of the board.

Mathematically speaking

x (1/4) = 6

Solving for x

x = 6 / (1/4) =24 pieces

Feel free to ask for more if needed or if you did not understand something.

Monica [59]2 years ago
3 0
The board is 6 feet long, and there is 12 inches in a foot. This means the board is 72 inches long. Each piece she cuts is 1/4 (3) inches long. This means if we do 72/3, we see the number of pieces Joanna cuts is 24.
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The domain is t=0 to t=3.2  and range is y = 0 to 57.125 feet.

<u>What are Domain and range of a Function?</u>

  • The range of values that we are permitted to enter into our function is known as the domain of a function.
  • The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input.
  • After we enter an x value, the function outputs this sequence of values. The y values are those.
  • A function can be compared to a piece of equipment on an assembly line.
  • A few screws and nuts are located on one end of the assembly line, while a car is located on the other. The function is the device in the center. The domain is the screws and bolts that we insert into the machine. The car at the other can be thought of as the range.

Given function is : y = -16t^2 + 50t + 4

It hits the ground when y=0

0 = -16t^2 + 50t + 4

8t^2 -25t -2 = 0

t = 25/16 + (1/16)sqrt(625+64) = (25+26.25)/16 = 51.25/16 = 3.2 seconds

domain is t=0 to t=3.2  [3.2]

take the derivative and set it equal to zero to find maximum height

-32t +50 = 0

t = 50/32 = 25/16 = 1.5625 seconds

-16(25/16) + 50(25/16) + 4 = 34(25/16) + 64/16 = (17(25)+32)/8 = 57.125 = maximum height

range is y = 0 to 57.125 feet.   the discus goes from 4 feet to 57 1/8 feet and back down to 0 feet.

Know more about Domain and Range with the help of the given link:

brainly.com/question/20349151

#SPJ4

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