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lakkis [162]
3 years ago
8

Solve the system of equations below by graphing them with a pencil and paper. Enter your answer as an ordered pair.

Mathematics
2 answers:
Oksana_A [137]3 years ago
8 0

Answer:

Solution is (2,1)

Step-by-step explanation:

In order to graph both lines ,we need to find the X and Y intercepts for both equations

Lets take equation  y =2x -3

               To find y intercept ,we plug x =0 ,we get y =2(0)-3 = 0-3 =-3

                         Y intercept is (0,-3) Which is point  'C' in the graph

              To find X intercept ,we plug y =0 ,we get 0 = 2x-3 or x = 3/2 or 1.5

                        X intercept is (1.5,0) Which is point D in the graph.

Lets take equation y =-2x+5

                   To find y intercept ,we plug x =0 ,we get y = -2(0)+5 = 0+5 = 5

                       Y intercept is (0,5) which is point A in the graph .

              To find X intercept ,we plug y =0 ,we get 0 =-2x+5 or x = 5/2 or 2.5

                     X intercept is (2.5,0) which is point B on the graph

         After getting intercept of both lines ,we plot both lines

In the graph Blue line shows  y=2x-3 and Red line shows y =-2x+5

both lines intersect at point E which is called the solution of both equation

which is given to be (2,1)

sergejj [24]3 years ago
6 0
Y = 2x - 3 . . . (1)
y = -2x + 5 . . . (2)
Equating (1) and (2),
2x - 3 = -2x + 5
2x + 2x = 5 + 3
4x = 8
x = 8/4 = 2
x = 2
y = 2(2) - 3 = 4 - 3 = 1
y = 1

Solution = (2, 1)
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Dan invests £18790 into his bank account. He receives 4.9% per year simple interest. How much will Dan have after 3 years? Give
garri49 [273]

Answer:

£21552.

Step-by-step explanation:

Given information:

Principal amount = £18790

Rate of simple interest =4.9% = 0.049 per year

Time = 3 years

Formula for simple interest:

I=P\times r\times t

where, P is principal, r is rate of interest and t is time in years.

I=18790\times 0.049\times 3

I=2762.13

Total amount after 3 year is

A=P+I

A=18790+2762.13

A=21552.13

A\approx 21552

Therefore, Dan have £21552 after 3 years.

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Hi what is the answer for this?
saw5 [17]
This is a common factor problem.

Pencils come in a pack of 12
Erasers come in a pack of 10

First, break the number into their prime factors(the idea is that we will break the number down into its smallest multiples, which are prime numbers):
10 = 2 * 5
12 = 2 * 2 *3

So now we take the unique multiples of each number, and when we multiply them together, we will get the smallest number that both 10 and 12 can be divided into(this is what the problem is asking for)
We have (2*2*3) that comes from 12, and the only unique number that comes from the 10 is (5)
So now, we multiply:
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I hope this helps. Let me know if you have any questions!!
5 0
3 years ago
Read 2 more answers
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