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inysia [295]
3 years ago
5

Find the solution of this system of equations. Separate the x- and y-values with a comma. x - 4y = 12 and x - y = 0

Mathematics
1 answer:
Elenna [48]3 years ago
6 0
Use elimination and subtitution method to solve the problem.
First, eliminate x and you'll find the value of y
x - 4y = 12
x -  y  = 0
--------------- - (substract)
     -3y = 12
        y = 12/-3
        y = -4

Second, subtitute -4 as y and you'll find the value of x
x - y = 0
x- (-4) = 0
x + 4 = 0
x = -4

The solution
x,y = -4,-4
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How do I find the complement?
likoan [24]

Let A be some subset of a universal set U. The "complement of A" is the set of elements in U that do not belong to A.

For example, if U is the set of all integers {..., -2, -1, 0, 1, 2, ...} and A is the set of all positive integers {1, 2, 3, ...}, then the complement of A is the set {..., -2, -1, 0}.

Notice that the union of A and its complement make up the universal set U.

In this case,

U = {1, 2, 3, 6, 10, 13, 14, 16, 17}

The set {3, 10, 16} is a subset of U, since all three of its elements belong to U.

Then the complement of this set is all the elements of U that aren't in this set:

{1, 2, 6, 13, 14, 17}

6 0
3 years ago
type the correct answer in the Box. Use Roman numerals instead of words. The graphs of functions f and g are shown. Function g i
marysya [2.9K]

Answer:

  • k = 2

Step-by-step explanation:

<u>Take some reference points on the graph of f and g:</u>

  • f(2) = 1, g(2) = 2
  • f(4) = 2, g(4) = 4
  • f(8) = 4, g(8) = 8

<u>According to the numbers above we can state:</u>

  • g(x) = 2f(x)

So the value of k is 2

4 0
2 years ago
Mrs.Barritz is packing food bags for the sick. Because of the special health needs of the people to whom they will be delivered,
Rudiy27

Answer:b-(1/4)b+15

Step-by-step explanation:

3 0
2 years ago
You made two deposits to your bank account this month. One deposit was $24.61, and the second deposit was $16.49. Your balance a
Rina8888 [55]

The <em><u>correct answer</u></em> is:

$72.31 – $24.61 – $16.49; $31.21

Explanation:

We know we end the month with $72.31.

We made two deposits during the month and no other activity.  This means if we take the amounts of the deposits away from the total at the end of the month, we can find how much we had at the beginning of the month:

72.31-24.61-16.49 = 31.21

6 0
3 years ago
Read 2 more answers
A cylinder has a radius of 40 ft and a height of 17 ft. What is the exact surface area of the cylinder?
Georgia [21]

we know that

surface area of the cylinder=2*{area of the base}+perimeter of base*height

area of the base=pi*r²

r=40 ft

Area of base=pi*40²

Area of the base=1600*pi ft²


Perimeter of the base=2*pi*r

Perimeter of the base=2*pi*40

Perimeter of the base=80*pi ft


surface area of the cylinder=2*1600*pi+80*pi*17

surface area=4560*pi ft²


therefore

the answer is the option

4560π ft2

8 0
3 years ago
Read 2 more answers
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