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Ksivusya [100]
3 years ago
14

Math expressions that equal 13​

Mathematics
1 answer:
qaws [65]3 years ago
7 0

Step-by-step explanation:

There can be a lot of math expressions that may equal 13. Here are some of the expressions that equal 13​.

  • 9 + 4 = 13
  • 15 - 2 = 13
  • 1 × 13 = 13

Now, let us consider some interesting expression

x^3-x^2+x+7

If the value of x = 2, then the expression will be equal to 13.

i.e.

2^3-2^2+2+7=13        ∵ when x = 2

Considering a word problem

<em>'Tom has 10 oranges while Tony has 3 more oranges than Tom. How many oranges Tony has?</em>

Let 'x' be the number of oranges Tom has.

The number of oranges Tony has = x + 3

as Tom has 10 oranges, so x = 10

Therefore, the number of oranges Tony has = x + 3

                                                                          = 10 + 3 = 13

Therefore, the number of oranges Tony has = 13

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3 years ago
According to postal regulations, a carton is classified as "oversized" if the sum of its height and girth (the perimeter of its
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Answer:

V(max) =  8712.07 in³

Dimensions:

x (side of the square base)  = 16.33 in

girth   = 65.32 in

height = 32.67 in

Step-by-step explanation:

Let

x  = side of the square base

h = the height of the postal

Then according to problem statement we have:

girth = 4*x     (perimeter of the base)

and

4* x  +  h  = 98  (at the most)   so   h = 98 - 4x  (1)

Then

V = x²*h

V = x²* ( 98 - 4x)

V(x) = 98*x² - 4x³

Taking dervatives (both menbers of the equation we have:

V´(x)  =  196 x   -  12 x²        ⇒   V´(x) = 0

196x - 12x²  = 0   first root of the equation  x = 0

Then   196 -12x = 0      12x = 196     x = 196/12

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y = 98 - 4x       ⇒  y = 98 -4 (16,33)

y = 32.67 in

and maximun volume of a carton V is

V(max) = (16,33)²* 32,67

V(max) = 8712.07 in³

3 0
3 years ago
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