What property is 150 + 214 + 89 equals 214 plus 89 plus 150

Mathematics

1 answer:

koban [17]2 years ago

7 0

The property is the Commutative Property

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Algebraic fractions<br> x² + 5x+4 /<br> x²+ 4x + 3

Tresset [83]

Answer:

$\frac{x+4}{x+3}$

Step-by-step explanation:

Given

$\frac{x^2+5x + 4}{x^2+4x+3}$ ← factor numerator and denominator

= $\frac{(x+1)(x+4)}{(x+1)(x+3)}$ ← cancel common factor (x + 1) on numerator/ denominator

= $\frac{x+4}{x+3}$

8 0

2 years ago

What is the image of (-8,6) after a translation over the line y=-x

stira [4]

Answer:

(-6, 8)

Step-by-step explanation:

(x, y) --> (-y, -x)

(-8, 6) --> (-6, 8)

Therefore, (-6, 8)

I hope this helped and have a good rest of your day!

8 0

2 years ago

in a proportional relationship the ratio y/x is constant. Show that this ratio is not constant for the equation y=a-14

Colt1911 [192]

To show that the ratio $\frac{y}{x}$ is not constant for the function $y=a-14$ we only need to evaluate this function at 2 points and then show that the ratio is not the same for those two points. Note that here $a$ represents $x$ .

To find the counter examples here, I will use the values $a=20$ and $a=28$ . For $a = 20$ , the equation tells us that the output is

$y=20-14=6$ . For this value of $a$ the point is point is $(20,6)$ . The ratio $\frac{y}{x} =\frac{6}{20}$ . For the $a=28$ , $y=28-14=14$ . For this value of $a$ the point is $(28,14)$ . The ratio $\frac{y}{x} =\frac{14}{28} =\frac{1}{2}$ . Clearly this ratio is not constant for all ordered pairs.