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3 years ago

Find a counter example. The product of any integer and 2 is greater than 2

Mathematics

2 answers:

spin [16.1K]3 years ago

8 0

Exception if the integer is a negative

astra-53 [7]3 years ago

7 0

One <em><u>possible counterexample</u></em> is:

-1

Explanation:

The set of integers contains the set of whole numbers and negative numbers, but does not include fractions or decimals.

Multiplying positive 2 by any negative number will result in a negative product. Any negative number will be smaller than positive two; thus any negative number and 2 will have a product smaller than 2.

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2x + x + x + 2y × 3y × y

Vilka [71]

Answer:

$\large\boxed{4x+6y^3}$

Step-by-step explanation:

$2x+x+x+2y\times3y\times y\\\\=(2x+x+x)+(2y\times3y\times y)\\\\=4x+(2\times3)(y\times y\times y)\\\\=4x+6y^3$

5 0

3 years ago

Estimate the area of Alberta in square miles. Show your reasoning

ella [17]

Answer: About $278,250\ mi^2$

Step-by-step explanation:

The missing figure is attached.

Notice in the first picture that Alberta has a complex shape.

You can calculate the area of a complex shape by decomposing it into polygons whose areas can be calculated easily.

Observe the second picture. Notice that it can be descompose into two polygons: A trapezoid and a rectangle.

The area of the trapezoid can be calcualted with the formula:

$A_t=\frac{h}{2}(B+b)$

Where "h" is the height, "B" is the long base and "b" is short base.

And the area of the rectangle can be found with the formula:

$A_r=lw$

Wkere "l" is the lenght and "w" is the width.

Then, the apprximate area of Alberta is:

$A=\frac{h}{2}(B+b)+lw$

Substituting vallues, you get:

$A=(\frac{(410\ mi-180\ mi)}{2})(760\ mi+470\ mi)+(180\ mi)(760\ im)\\\\A=141,450\ mi^2+136,800\ mi^2\\\\A=278,250\ mi^2$

Therefore, the area of of Alberta is about $278,250\ mi^2$ .

5 0

3 years ago

Thank you to whoever helps me. I'm confused a little bit.

xeze [42]

The answer to this is 392

5 0

3 years ago

A company that makes hair-care products had 2,000 people try a new shampoo. Of the 2,000 people, 4 had a mild allergic reaction.

bazaltina [42]

Answer:

0.2%

Step-by-step explanation:

2,000 people tested the new shampoo.

4 people had a mild allergic reaction.

4 is what percentage of 2,000?

0.2 percent.

(2,000 = %99.8)

4 0

2 years ago

Triangle ABC with A at 0 comma 0, B at 2 comma 4 and C at 0 comma 2, the measure of angle C is 127 degrees, and the measure of a

Nikolay [14]

Answer:

The Answer is B.

Step-by-step explanation:

I got it right on my test

For further evidence here is a picture of the answer

6 0

2 years ago