3 years ago

Is the following relation a function? (yes/no) (1,3) (2,2) (3,1) (2,0) (1,-1) and explain why or why not

Mathematics

1 answer:

marshall27 [118]3 years ago

4 0

Answer:no

Step-by-step explanation:

the (x) fators out more than once

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All you need to do is divide 2.25 by 2!

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I hope this helps! :)

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3 years ago

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4 years ago

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3 years ago

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Step-by-step explanation:

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3 years ago

X² - 8x - 33=0<br> complete the square

Andreas93 [3]

<h2>Answer:</h2><h2></h2><h2> $\boxed{x_{1}=-3} \\ \\ \boxed{x_{2}=11}$ </h2>

<h2>Explanation:</h2>

Step 1. Write $x^2 - 8x - 33=0$ in the form $x^2+2ax+a^2=0$

$2a=-8\quad :\quad a=-4$

Step 2. Add and subtract $(-4)^2$ to the left side of the equation

$x^2-8x-33+\left(-4\right)^2-\left(-4\right)^2=0 \\ \\ \\ But: \\ \\ x^2+2ax+a^2=\left(x+a\right)^2 \\ \\ x^2-8x+\left(-4\right)^2=\left(x-4\right)^2$

Step 3. Complete square

$\left(x-4\right)^2-33-\left(-4\right)^2=0 \\ \\ \left(x-4\right)^2-49=0 \\ \\ (x-4)=\pm \sqrt{49} \\ \\ x-4=\pm 7 \\ \\ \boxed{x_{1}=-3} \\ \\ \boxed{x_{2}=11}$

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3 years ago