3 years ago

Is 10/9 closer to 0 1/2 or 1

Mathematics

1 answer:

Viktor [21]3 years ago

5 0

The answer is the number 1.

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Two students, Carlos and Sophie, factored the trinomial -4x2 − 10x + 6. Sophie factored it as -2(2x − 1)(x + 3) and Carlos facto

damaskus [11]

Sophie has factored the term completely while Carlos has not factored the term completely.

Step-by-step explanation:

We need to factor the trinomial:

$-4x^2-10x + 6$

Factoring:

$-4x^2-10x + 6\\Taking\,\,-2\,\,common:\\-2(2x^2+5x-3)\\Now\,\,factoring:\\-2(2x^2+6x-x-3)\\-2(2x(x+3)-1(x+3))\\-2(2x-1)(x+3)$

So, the factored form of $-4x^2-10x + 6$ is $-2(2x-1)(x+3)$

So, Sophie has factored the term completely. The terms are factored when we cannot further simplify it. Since Carlos factored (x+3)(-4x+2) 2 can be taken common from the term (-4x+2) so, it is not factored completely.

Keywords: Factoring the terms

Learn more about Factoring the terms at:

#learnwithBrainly

7 0

3 years ago

In January, Wally's Widget World had sales of $12,500 and expenses of $10,200. The profit for January was _____.

likoan [24]

Easy, $12, 500 - $10, 200 = ?

8 0

3 years ago

Are those two expression equivalent when x=10 <br> 5(3x+8)<br> 8(x+8

My name is Ann [436]

No, the first choice equals 190 and the second 144.

6 0

3 years ago

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Find the slope and y-intercept of line x÷a+y÷b=1

Inessa05 [86]

Answer:

slope:

-b/a

y-intercept:

6 0

2 years ago

Write two solutions for the following equation 2x+3y=24.

SVETLANKA909090 [29]

Answer: (12, 0) and (0, 8)

Step-by-step explanation:

This equation is in standard form. We can sub in a number for x to solve for y and vice versa.

Let's sub in 0 for x.

$2x+3y=24\\2(0)+3y=24\\3y=24\\\frac{3y}{3} =\frac{24}{3} \\y=8$

When x is 0 y is 8 giving us the coordinate (0, 8).

Now lets sub in 0 for y

$2x+3(0)=24\\2x=24\\\frac{2x}{2} =\frac{24}{2} \\x=12$

When y is 0 x is 12 giving us the coordinate (12, 0)

4 0

3 years ago

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