We read your photo as:

Solve the following mathematical problems based on the provided flow diagram and table.

Mathematics

ScanSolve AI Answer

Step-by-step solution

6 steps

Here are the solutions to the questions:

2.2.1 Represent the relationship shown in the diagram in words.
The relationship shown in the diagram is that the input value is first multiplied by -1, and then that result is multiplied by 3 to get the output value.

2.2.2 Use the information provided in the flow diagram to complete the table below.

  1. Determine the rule from the flow diagram.

    The flow diagram shows an input xx is first multiplied by −1-1, then that result is multiplied by 3.
    So, the output yy is given by the formula:

    y=(x×−1)×3y = (x \times -1) \times 3 y=−x×3y = -x \times 3 y=−3xy = -3x
  2. Calculate the output values for each input using the rule y=−3xy = -3x.

    • For Input x=0x = 0: y=−3(0)=0y = -3(0) = 0
    • For Input x=1x = 1: y=−3(1)=−3y = -3(1) = -3
    • For Input x=2x = 2: y=−3(2)=−6y = -3(2) = -6 (Note: The table in the question shows -5 for input 2, but based on the flow diagram's operations, the correct output is -6.)
    • For Input x=4x = 4: y=−3(4)=−12y = -3(4) = -12
    • For Input x=8x = 8: y=−3(8)=−24y = -3(8) = -24
    • For Input x=nx = n: y=−3ny = -3n
  3. Complete the table.

    Input01248n
    Output0-3-6-12-24-3n

    2.2.3 Describe, in words, the steps to follow to calculate the input value for the given output value of -21.

  4. To reverse the operation of multiplying by 3, divide the output value by 3.

  5. To reverse the operation of multiplying by -1, divide the result from Step 1 by -1.

    3.1 The following shapes are made using squares.

  6. Count the number of squares in each shape.

    • Shape 1 has 5 squares.
    • Shape 2 has 7 squares.
    • Shape 3 has 9 squares.
Was this helpful?

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp