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Molodets [167]
3 years ago
6

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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X^5y^3/x^2-x-6 * x^2 -9/x^2y^4
zvonat [6]

\bf \cfrac{x^5y^3}{x^2-x-6}\cdot \cfrac{x^2-9}{x^2y^4}\implies \cfrac{x^5y^3}{x^2-x-6}\cdot \cfrac{\stackrel{\textit{difference of squares}}{x^2-3^2}}{x^2y^4} \\\\\\ \cfrac{x^5y^3}{~~\begin{matrix} (x-3) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~(x+2)}\cdot \cfrac{~~\begin{matrix} (x-3) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~(x+3)}{x^2y^4}\implies \cfrac{x^5y^3}{x+2}\cdot \cfrac{x+3}{x^2y^4}

\bf \cfrac{x^5y^3}{x^2y^4}\implies \cfrac{x^5x^{-2}}{y^4y^{-3}}\cdot \cfrac{x+3}{x+2}\implies \cfrac{x^{5-2}}{y^{4-3}}\cdot \cfrac{x+3}{x+2}\implies \cfrac{x^3(x+3)}{y(x+2)}\implies \cfrac{x^4+3x^3}{yx+2y}

6 0
4 years ago
Compare your response to the sample response above. what did your explanation include? the conclusion that the work was incorrec
Alenkasestr [34]

In the case above, Talib work is not correct as one need to first switch x and y before one can solve for y.

<h3>What is the variables  about?</h3>

Note that:

y=-8x+4

y-4=-8x

(y-4)/-8=x

Since the independent variable x is known, one can switch the variable labels and thus it will be:

y=(x-4)/-8

f^-1(x)=(x-4)/-8    

This can be written again as:

f^-1(x)=(4-x)/8  :P

Thus one can say  No, as he forgot to switch the variable labels after solving for the independent variable.

In the case above, Talib work is not correct as one need to first switch x and y before one can solve for y.

See the first part of the question below

Talib is trying to find the inverse of the function to the right. His work appears beneath it. Is his work correct? Explain your answer.

Learn more about variable from

brainly.com/question/4063302

#SPJ1

6 0
3 years ago
Emily puts $100 in the bank and earns 4% interest per year.
grin007 [14]

Answer:

$4

Step-by-step explanation:

100 x 0.04 but to make it easier you do

1 x 4 which is 4

7 0
3 years ago
Read 2 more answers
Rule start at 5 and 1/2 add 1 1/5
Margaret [11]

Answer:

The solution is 6\frac{7}{10}.

Step-by-step explanation:

It is given that rule start at 5\frac{1}{2} add 1\frac{1}{5}.

From the given information, we get the expression

5\frac{1}{2}+1\frac{1}{5}

Simplify the complex fraction.

\frac{10+1}{2}+\frac{5+1}{5}

\frac{11}{2}+\frac{6}{5}

Taking LCM, we get

\frac{11\times 5+6\times 2}{2\times 5}

\frac{55+12}{10}

\frac{67}{10}

6\frac{7}{10}

Therefore the he solution is 6\frac{7}{10}.

4 0
3 years ago
Inquality x=3 is a solution or x=-2is a solution for 7(2 -x)&gt;5
nadezda [96]

Answer:

5

Step-by-step explanation:

3 0
3 years ago
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