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3 years ago

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Rosita went to the mall.She purchased a smoothie for $4,a scarf for $12,and a scrunchie for $8.Rosita plans to add 4+12+8 to det

ermine the total amount that she spent. Describe how Rosita can use the communicative property to more easily calculate the total

1 answer:

enyata [817]3 years ago

5 0

Answer:

4+12+8 = 24

Step-by-step explanation:

4+8=12 + 12 = 24 :)

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Answer:

Second choice:

$x=2t$

$y=4t^2+4t-3$

Fifth choice:

$x=t+1$

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Step-by-step explanation:

Let's look at choice 1.

$x=t+1$

$y=t^2+2t$

I'm going to subtract 1 on both sides for the first equation giving me $x-1=t$ . I will replace the $t$ in the second equation with this substitution from equation 1.

$y=(x-1)^2+2(x-1)$

Expand using the distributive property and the identity $(u+v)^2=u^2+2uv+v^2$ :

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So this not the desired result.

Let's look at choice 2.

$x=2t$

$y=4t^2+4t-3$

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$t=\frac{x}{2}$ .

Let's plug this into equation 2:

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This is the desired result.

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Solve the first equation for $t$ by adding 3 on both sides:

$x+3=t$ .

Plug into second equation:

$y=(x+3)^2+2(x+3)$

Expanding using the distributive property and the earlier identity mentioned to expand the binomial square:

$y=(x^2+6x+9)+(2x+6)$

$y=(x^2)+(6x+2x)+(9+6)$

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Not the desired result.

Choice 4:

$x=t^2$

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I'm going to solve the bottom equation for $t$ since I don't want to deal with square roots.

Add 3 on both sides:

$y+3=2t$

Divide both sides by 2:

$\frac{y+3}{2}=t$

Plug into equation 1:

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This is not the desired result because the $y$ variable will be squared now instead of the $x$ variable.

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$y=x^2+2x-3$ .

This is the desired result.

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