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scoundrel [369]
3 years ago
6

Find the value of two numbers if their sum is 32 and their difference is 14.

Mathematics
1 answer:
OverLord2011 [107]3 years ago
4 0
23 and 9 are the two numbers

Explanation:

x = one number
y = other number

x + y = 32 {sum of two numbers is 32
x - y = 14 {difference is 14}
-----------
2x = 46 {added the two equations together}
x = 23 {divided both sides by 2}

x + y = 32 {top equation}
23 + y = 32 {substituted 23, in for x, into top equation}
y = 9 {subtracted 23 from both sides}

23 and 9 are the two numbers
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Solve the following system of equations algebraic<br> y=x^2+3x-29<br> y=2x-9
Lady bird [3.3K]

Step-by-step explanation:

Given equations:

       y  = x² + 3x - 29    ------ (i)

       y  = 2x - 9  ---------------- (ii)

Now to solve this problem, we must determine the value of x and y;

 Equate equations 1 and 2;

       x² + 3x - 29 = 2x - 9

       x² + 3x - 2x - 29 + 9  = 0

       x² + x - 20  = 0

       x² + 5x - 4x - 20  = 0

       x(x + 5 ) - 4(x + 5) = 0

      (x - 4) (x+ 5) = 0

       x  - 4  = 0 or x + 5  = 0

      x  = 4 or x = -5;

So;   solve for y now;

     y = 2x - 9

     input x  = 4 or x = -5;

    y  = 2(4) - 9 or y = 2(-5) - 9

    y = -1 or y = -19

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3 years ago
DONT SEND A LINK TO DOWNLOAD A PIC IN THIS <br><br> Is the relation shown a function? Explain.
horsena [70]

Answer:

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Step-by-step explanation:

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What is the quadratic function that is created with roots at 2 and 4 and a vertex at (3, 1)?
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y=k*(x-2)(x-4)
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3 years ago
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Nimfa-mama [501]

Answer:

The answers are A, C, & D.

Step-by-step explanation:

A: the 34 would have an imaginary 0 behind it, so then it would become 340, which is greater than 304.

B, C, D: same logic as A

6 0
3 years ago
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