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3 years ago

8

When asked to write a point slope equation for the line shown below a student wrote y-6=3(x-3) how can she fix this to write the

correct equation?

1 answer:

Rufina [12.5K]3 years ago

6 0

What's the question she got the answer wrong to?

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196 pages fewer than savannah

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Exploration: i got it right.

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Dad gave Tyler and Emily the same amount of pocket money Emily bought a t shirt for $41 and she had $6 left how much money did d

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Dad gave Tyler $47.

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You add the money that Emily had left and the cost of the t-shirt.

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3 years ago

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-1(x+5)=3[x+(2x-1)]<br> solved and justified each step

madreJ [45]

Answer:

<h2>x = -0.2</h2>

Step-by-step explanation:

$-1(x+5)=3[x+2x-1)]\\\\\text{for}\ -1(x+5):\ \text{distribtutive property}\\\text{for}\ [x+(2x-1)]:\ \text{associative property}\\\\(-1)(x)+(-1)(5)=3[(x+2x)-1]\\-x-5=3(3x-1)\\\\\text{for}\ 3(3x-1):\ \text{distributive property}\\\\-x-5=(3)(3x)+(3)(-1)\\-x-5=9x-3\\\\\text{for the equation}:\ \text{addition property of equality}\\\\-x-5=9x-3\qquad\text{add 5 to both sides}\\-x-5+5=9x-3+5\\-x=9x+2\\\\\text{for the equation:}\ \text{subtraction property of equality}\\\\-x=9x+2\qquad\text{subtract}\ 9x\ \text{from both sides}$

$-x-9x=9x-9x+2\\-10x=2\\\\\text{for the equation:}\ \text{division property of equality}\\\\-10x=2\qquad\text{divide both sides by -10}\\\dfrac{-10x}{-10}=\dfrac{2}{-10}\\x=-0.2$

$\text{Distributive property:}\ a(b+c)=ab+ac\\\text{Associative property:}\ (a+b)+c=a+(b+c)$

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3 years ago

Suppose we want to choose 6 letters, without replacement, from 15 distinct letters. (A) how many ways can this be done, if the o

Olenka [21]

Answer:

Below in bold.

Step-by-step explanation:

A.This is the number of combinations of 6 from 15

= 15C6

= 15! / (15-6)! 6!

= 5,005 ways.

B. This is the number of permutaions of 6 from 15:

= 15! / (15-6)!

= 3,603,600 ways.

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3 years ago