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boyakko [2]
4 years ago
14

If a and b are both integers and b does not equal 0, then -(a/b) = (-a)/b = a/(-b) Choose two values for a and b. see if those v

alues make the equation true
Mathematics
1 answer:
kkurt [141]4 years ago
7 0

a=4 , b=3  These values make the equation true .

<u>Step-by-step explanation:</u>

Here we have , If a and b are both integers and b does not equal 0, then -(a/b) = (-a)/b = a/(-b) Choose two values for a and b. We need to find if those values make the equation true . Let's find out:

We have the following equation:

-(a/b) = (-a)/b = a/(-b) , Let a=4 , b=3 , So

⇒ -(a/b) = (-a)/b = a/(-b)

⇒ -\frac{a}{b} = \frac{-a}{b} = \frac{a}{-b}

⇒ -\frac{4}{3} = \frac{-4}{3} = \frac{4}{-3}

⇒ -\frac{4(-1)}{3} = \frac{-4(-1)}{3} = \frac{4(-1)}{-3}                   { Multiplying by -1 }

⇒ \frac{4}{3} = \frac{4}{3} = \frac{4}{3}

Therefore , These values make the equation true .

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Answer:

The complete graph of f\left(x\right)=\left\{-2x:x\ge 3,\:y=-\frac{1}{3}x-5:x\le \:3\right\} is shown below.

Step-by-step explanation:

Considering the function

f\left(x\right)=\left\{-2x:x\ge 3,\:y=-\frac{1}{3}x-5:x\le \:3\right\}

The graph of the piece y=-2x\ \ \ \ \ \left\{x\ge3\right\} indicates the blue line, starting at x=3. And with one unit increase in x, the value of y decreases by 2 units.

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By comparing the slope intercept form

y=mx+b

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and the piece y=-\frac{1}{3}x-5\ \ \ \ \ \left\{x\le3\right\} indicates the yellow line.

By comparing the slope intercept form

y=mx+b

Here,

  • The slope of which is m = -1/3, and
  • y - intercept = -5.

The complete graph of f\left(x\right)=\left\{-2x:x\ge 3,\:y=-\frac{1}{3}x-5:x\le \:3\right\} is shown below.

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