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dem82 [27]
3 years ago
15

A line passes through the points (–3, –4) and (6, 2). What number is the x-intercept?

Mathematics
2 answers:
azamat3 years ago
6 0

Answer: the answer is D

Step-by-step explanation:

LuckyWell [14K]3 years ago
5 0

Answer:

<h2>D. 3</h2>

Step-by-step explanation:

\bold{METHOD\ 1}

\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{x-intercept:}\ (x,\ 0).\\\\\text{Susbtitute the coordinates of the points to the formula of a slope}\\\\(-3,\ -4),\ (6,\ 2),\ (x,\ 0):\\\\m=\dfrac{2-(-4)}{6-(-3)}=\dfrac{2+4}{6+3}=\dfrac{6}{9}=\dfrac{6:3}{9:3}=\dfrac{2}{3}\\\\m=\dfrac{0-2}{x-6}=\dfrac{-2}{x-6}\\\\\text{Therefore we have the equation:}\\\\\dfrac{-2}{x-6}=\dfrac{2}{3}\qquad\text{cross multiply}\\\\2(x-6)=(-2)(3)\\\\2(x-6)=-6\qquad\text{divide both sides by 2}\\\\x-6=-3\qquad\text{add 6 to both sides}\\\\x=3

\bold{METHOD\ 2}\\\\\text{Look at the picture.}

Mark points in the coordinate system.

Lead a line through these points.

Read x-intercept.

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Answer:

1/3 or 3.3<u>3</u>

Step-by-step explanation:

There are 6 sides to dice, and to land on one side is a 1/6th of a chance. to land on 2 possible sides, you do 1/6+1/6 which equals 2/6 which is equivalent to 1/3 or 3.3<u>3</u> as a decimal.

I hope this helps and good luck!

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

A well-detailed version of the question has been uploaded in form of an image for easier understand.

Looking at the question, it was said that she received her store order on 12/3/2016 at 4am, this implies that the prep date and time are 12/3/2016 and 4am respectively. Also, it was said that the expiration date was printed on the product and it is 1/17/2017. Obviously, the expiration time would also be 4am because it was prepared at 4am and if we calculate in. 24hours we would get 4am at the expiration date as well. Lastly, we were told she opened the product she received on 12/7/2016 which is the initial date the product was used. From all these we can deduce the following:

Exp Date: 1/17/2017

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Step-by-step explanation:

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