the sum of two numbers is 51 . the larger number is 23 more than the smaller number. what are the numbers?

Mathematics

2 answers:

Arisa [49]3 years ago

8 0

37 and 14 are the numbers.

fenix001 [56]3 years ago

7 0

Q+(q+23)=51. If we subtract 23 from 51 we get 28. Now if we divide 28 by 2 we get 14. 14+23=37. 37 + 14 is 51. So the two numbers are 14 and 37. Hope this helped :)

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The graph shows the system y=2x+1 y=2x^2+1 Which ordered pairs are solutions of the system?

zhenek [66]

Hey!

To solve this problem, we would really have to graph both equations.

OPEN THE FIRST IMAGE

The first image I provided was the image of this equation graphed: y=2x+1

OPEN THE SECOND IMAGE

The second image I provided was the image of this equation graphed: y=2x^2+1

PLEASE DO NOT LOOK AT THE THIRD IMAGE YET!

The first image has two points. One at ( -0.5, 0 ) and the other at ( 0, 1 ).

The second image has only one point, which is at ( 0, 1 ).

OPEN THE THIRD IMAGE

Now, when both are combined we see that they intersect at two points, which are ( 0, 1 ) and ( 1, 3 ).

So, our answer is...

The ordered pairs that are the solution to the system are ( 0,1 ) and ( 1,3 ).

Hope this helped!

- Lindsey Frazier ♥