A function, f, is defined by the set {(2,3), (4,7),(-1,5)}.

Mathematics

1 answer:

Kitty [74]3 years ago

3 0

Answer:

{(3,2), (7,4),(5,-1)}.

Step-by-step explanation:

To find the points reflected through y=x, you are really being asked to find the inverse relation. That means we are just swapping x and y per point; like (a,b) to (b,a).

So (2,3) when reflected through y=x becomes (3,2).

(4,7) when reflected through y=x becomes (7,4).

(-1,5) when reflected through y=x becomes (5,-1).

So the inverse relation is:

{(3,2), (7,4),(5,-1)}.

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1.2 x 10^19 x 5.88 x 10^12

Lapatulllka [165]

9514 1404 393

Answer:

7.056 × 10^31

Step-by-step explanation:

The applicable rule of exponents is ...

(10^a)(10^b) = 10^(a+b)

$(1.2\times10^{19})\times(5.88\times10^{12})=(1.2\cdot5.88)\times10^{19+12}\\\\=\boxed{7.056\times10^{31}}$

As you know, the commutative and associative properties of multiplication let you rearrange the order of the product to any convenient form. Here it is convenient to group the mantissas together and the powers of 10 together.

<em>Additional comments</em>

This is a product your scientific or graphing calculator can produce for you. Likely it will display the result in scientific notation because it won't have enough display digits to show you the product any other way. For smaller numbers, you can set the display mode to give you scientific notation.

If you choose to use a spreadsheet to perform this calculation, the numbers would be entered as 1.2e19 and 5.88e12. The result will be something like 7.056e31. You may have to format the display to show 3 decimal places.