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3 years ago

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Which expression is not equivalent to the other expressions?

1 answer:

Paul [167]3 years ago

4 0

-6(2x - 4) = -6*(2x) -6*(-4) = -12x + 24

-(12x - 6) + 18 = -12x + 6 + 18 = -12x + 24

-3(4x - 3) + 15 = -3*(4x) -3*(-3) + 15 = -12x + 9 + 24 = -12x + 24

-4(3x + 6) = -4*(3x) -4*(6) = -12x -24

All the expressions gave the same answer as -12x + 24, except for the last expression.

So, -4(3x + 6) is not equivalent to the others.

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John is driving around town. When he reaches the gas station, he notes that he has traveled 20 miles. He reaches home 2 hours la

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Answer:

$d=5t+20$

Step-by-step explanation:

The equation that will model this situation will be of the form

$d=mt+b$

where $t$ is the time in hours john has traveled since the gas station, and $d$ is the distance.

Now we know that John has already traveled 20 miles when he is at the gas station, this means at $t=0$ , $d=20$ ; or

$20=m(0)+b$

$\boxed{b=20}$

Thus we have

$d=mt+20$ .

Now we need to figure out $m.$

When John reaches home 2 hours later he notes that he has traveled 30 miles, which means he has traveled 30 - 20 = 10 miles; thus we have

$m= \frac{\Delta d}{\Delta t} =\frac{10 miles}{2hours} =5$

$\boxed{m=5}$

Now we have the full equation:

$\boxed{d=5t+20}$

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