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erastova [34]
3 years ago
9

The sum of two numbers I'd 16. Three times the larger number decreased by the smaller is 72. Find the number

Mathematics
1 answer:
maksim [4K]3 years ago
4 0

Answer:

22, -6

Step-by-step explanation:

Create a system of equations.

x= the larger number

y=the smaller number

Using what you know, create the equations:

x+y=16

3x-y=72

Now add the two equations together. (elimination method)

    x+y=16

+  3x-y=72                (the y's cancel out)

-----------------

     4x = 88               Divide.

       x = 22

Now plug in x=22 into one of your equations to solve for y.

x+y=16

22+y=16

y=-6

The numbers are 22 and -6.

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4 years ago
Calculate the missing terms of the geometric sequence ...,3072, 7,2,7, 12,.... Select all that apply.
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Step-by-step explanation:

From the given geometric sequence

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a_n=ar^(n-1)

here a_nis the nth term, a is the first term and r is the common ratio.

We will use the general form for term 5 to calculate the value of r.

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