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elena55 [62]
1 year ago
10

Use the intermediate value theorem to prove that there is a positive number c such that c2 = 2.

Mathematics
1 answer:
schepotkina [342]1 year ago
6 0

So lets try to prove it,

So let's consider the function f(x) = x^2.

Since f(x) is a polynomial, then it is continuous on the interval (- infinity, + infinity).

Using the Intermediate Value Theorem,

it would be enough to show that at some point a f(x) is less than 2 and at some point b f(x) is greater than 2. For example, let a = 0 and b = 3.

Therefore, f(0) = 0, which is less than 2, and f(3) = 9, which is greater than 2. Applying IVT to f(x) = x^2 on the interval [0,3}.

Learn more about Intermediate Value Theorem on:

brainly.com/question/11377865

#SPJ4

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The coordinates of the vertices of the triangle are (–8, 8), (–8, –4), and . Consider QR the base of the triangle. The measure o
Mademuasel [1]

The coordinates of the vertices of the triangle are
(–8, 8), (–8, –4), and<span> (10, –4)</span>.

Consider QR the base of the triangle. The measure of the base is b = 18 units, and the measure of the height is h = <span>12</span> units.

The area of triangle PQR is<span>108</span> square units.

4 0
3 years ago
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What is 2M? <br> Is anyone good at Matrices?
goldenfox [79]

Answer:

It's the first one

Step-by-step explanation:

Because 2M means you are multiplying all the values of M with 2

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3 years ago
julia puts her stickers into arrays in an album. some of her stickers are animal stickers. there are a different number of stick
lina2011 [118]

The total number of stickers :

Page 1 : 28

Page 2 : 24

Page 3 : 72

Page 4 : 48

<h3>Further explanation </h3>

There are several properties in integer multiplication operations

  • 1. closed property

Multiplication between integers will produce integers too

  • 2. commutative property

a x b = b x a

  • 3. associative property

ax (bxc) = (axb) xc

  • 4. identity

ax1 = 1 x a = a

  • 5. distributive  property

* addition

ax (b + c) = axb + axc

* substraction

ax (b-c) = axb - axc

We can use facts to solve multiplication problems

for example :

6 x 7 = (5 x 7) + ( 1 x 7) = 42

we can break facts with 6 into  5s and 1s facts from multiplication above

julia puts her stickers into arrays in an album

From picture (attached) we can find the total number of stickers on each page with 1s,2s,3s and 5s facts

  • Page 1 : 4 x 7 = (2 x 7) + ( 2 x 7) = 14 + 14 = 28
  • Page 2 : 4 x 6 = (1 x 6) + (3 x 6) = 6 + 18 = 24
  • Page 3 : 8 x 9 = ( 3 x 9) + (5 x 9) = 27 + 45 = 72
  • Page 4 : 8 x 6 = (3 x 6) + (5 x 6) = 18 + 30 = 48

<h3>Learn more</h3>

the multiplicative identity property

brainly.com/question/4238982

Keywords : stickers, arrays, album, page, Julia

#LearnWithBrainly

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3 years ago
The point P (5, -1) is rotated 90 degrees clockwise around the origin.
blondinia [14]
I would say the answer is c
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Solve 2x^2 + x − 4 = 0
ki77a [65]

Answer:

x= −1 /4 + 1 /4 √33

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