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storchak [24]
3 years ago
10

HELP FAST PLEASE

Mathematics
1 answer:
Gala2k [10]3 years ago
3 0

Answer:

b 35

Step-by-step explanation:

you need to find it between the two middle numbers 30 and 40

which gives you 35

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Simplified form of the expression (x^3+3x^2+6)-(9x^2-5x+7)
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Find the roots of parabola given by the following equation
riadik2000 [5.3K]

Answer:

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Step-by-step explanation:

here

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Which measurement is the best estimate of the area in square inches of the stove top that does not include the area of the burne
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Prove that there is a positive integer that equals the sum of the positive integers not exceeding it. Is your proof constructive
Elena L [17]

Answer:

Constructive Proof

Step-by-step explanation:

Let x be a positive integer

x must be equal to sum of all positive integers exceeding it

i.e.

x = x + (x - 1) + ( x - 2) + ......... + 2 + 1

Equivalently,

x = ∑i (where i = 1 to x)

The property finite sum;

∑i (i = 1 to x) = x(x + 1)/2

So,

x = x(x + 1)/2 ------- Multiply both sides by 2

2 * x = 2 * x(x + 1)/2

2x = x(x + 1)

2x = x² + x ------- subtract 2x from both sides

2x - 2x = x² + x - 2x

0 = x² + x - 2x ----- Rearrange

x² + x - 2x = 0

x² - x = 0 ------ Factorise

x(x - 1) = 0

So,

x = 0 or x - 1 = 0

x = 0 or x = 1 + 0

x = 0 or x = 1

But x ≠ 0

So, x = 1

The statement is only true for x = 1

This makes sense because 1 is the only positive integer not exceeding 1

1 = 1

It is a Constructive Proof

A proof is constructive when we find an element for which the statement is true.

8 0
3 years ago
Joe plays a spin-the-wheel game at the fair.
Assoli18 [71]

Answer:

u should do

Step-by-step explanation:

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but that's how to work it out

4 0
3 years ago
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