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3 years ago

Grace, Chelsea, and Roan are simplifying the same polynomial expression. which students work is correct and why?

Mathematics

2 answers:

Trava [24]3 years ago

8 0

Answer:

Grace

Step-by-step explanation:

Chelsea and Roan didn't distribute the negative sign in the second half of the first expression.

-2(x - 8) is

-2(x) + (-2)(-8)

-2x + 16

joja [24]3 years ago

4 0

Answer:

Grace

Step-by-step explanation:

Grace is correct. Chelsea and Roan didn't distribute the negative sign in the second half of the first expression.

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Example 2

Arada [10]

Answer:

y=x-2

Step-by-step explanation:

If you have drawn the graph of $y = x^2 - 3x + 1$ .

To determine the equation of the line which should be drawn to solve the equation: x² - 4x +3=0

Simply carry out the subtraction: $x^2 - 3x + 1 -(x^2 - 4x +3)$

$\implies x^2 -3x + 1-x^2 + 4x -3 \\= x^2 - x^2+ 4x - 3x-3 + 1\\=x-2$

The equation of the line which should be drawn is: y=x-2

What this means is simply:

$y = x^2 - 3x + 1$ and $y=x-2,$ then:\\x^2 - 3x + 1=x-2\\x^2 - 3x + 1-x+2=0\\x^2 - 4x + 3=0$

5 0

3 years ago

What is the negative inverse of -0.3

TEA [102]

$n\to negative\ of\ n=-n\\\\n\to inverse\ of\ n=\dfrac{1}{n}\\\\n\to negative\ inverse\ of\ a=-\dfrac{1}{a}\\\\-0.3=-\dfrac{3}{10}\\\\negative\ inverse:\\\\-\left(-\dfrac{10}{3}\right)=\dfrac{10}{3}$

3 0

3 years ago

I need help trying to figure this out 20x-4+6x+8

Ostrovityanka [42]

Answer: 2(13x+2)

Step-by-step explanation:

7 0

3 years ago

Answer a is 12/35 answer b is 12/37 answer c is 35/12 answer d is 35/37

Rainbow [258]

Answer:

c. 35/12

Step-by-step explanation:

Use soh cah toa, tangent equals opposite over adjecent. A also remember tangent by remembering that it is the only ratio to not use the hypotenuse.

7 0

3 years ago

Father gave each of his children one-twelfth of a cake. Then he ate the remaining one-third of the cake. How many children does

Hunter-Best [27]

Answer:

the father has 8 children

Step-by-step explanation:

The cake = 1 whole = 12/12 = 3/3

If the father ate 1/3 of the cake, we know that 2/3 of the cake was divided amongst his children

How many 1/12's can fit into 2/3?

(2/3) / (1/12) --> (2/3) x (12/1) = (24/3) = 8

If 8 1/12-pieces can fit into 2/3 of a cake, the father has 8 children.

7 0

2 years ago

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