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3 years ago

Which relation is represented by the arrow diagram?

Mathematics

1 answer:

lorasvet [3.4K]3 years ago

7 0

The relation represented by the arrow diagram is {(-3, 4), (-1, 5), (0, 7), (2, 2), (5, 7)}.

Option: C.

<u>Step-by-step explanation:</u>

A function is a relation in which each input value(domain) results in one output value(range). It is represented diagrammatically using the mapping method.

It shows how each element of domain and range are paired. That is like a flowchart it shows the input values marking its corresponding output value.

In the given diagram,

The values given in the left are domain and values given in the right are range.

Thus, -3 marks to 4, then can be written as (-3,4).

Similarly,

-1 marks 5 = (-1,5).

0 marks 7= (0,7).

2 marks 2= (2,2).

5 marks 7 =(5,7).

⇒ The complete points sequence is {(-3, 4), (-1, 5), (0, 7), (2, 2), (5, 7)}.

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3 years ago

Solve for x:<br> 4x – 7 = 8x + 33

Lera25 [3.4K]

Answer:

x = 10

Step-by-step explanation:

Hey there!

To solve this question we will use PEMDAS (order of operations)

4x−7=8x+33

Subtract 8x from both sides.

4x−7−8x=33

Combine 4x and −8x to get −4x.

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Add 7 to both sides.

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Add 33 and 7 to get 40.

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1 year ago

Tristan is working on dilating rectangles. Rectangle ABCD is dilated by a factor of 3. The resulting rectangle WXYZ has an area

zloy xaker [14]

Answer:

Tristan is correct, because he needs to find the possible dimensions for rectangle WXYZ and then divide each dimension by 3.

Step-by-step explanation:

The rectangle ABCD is dilated by a factor of 3 to get the rectangle WXYZ whose area is found to be 72 cm².

Let the dimensions of the dilated rectangle WXYZ are a cm by b cm.

So, ab = 72 ........... (1)

Now, the dimensions of the original rectangle are 3 times lesser than the dimensions of rectangle WXYZ.

So, the area of rectangle ABCD will be $(\frac{a}{3} \times \frac{b}{3}) = \frac{ab}{9} = \frac{72}{9} = 8$ cm² {from equation (1)}

Therefore, Tristan is correct, because he needs to find the possible dimensions for rectangle WXYZ and then divide each dimension by 3. (Answer)

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3 years ago