anonymous
  • anonymous
Below are two equations. Solve each equation and compare the two solutions. Choose the statement that is true about each solution. Equation 1: |x-4|=6 Equation 2:|3x + 12| = 18 Answer Choices: A. Equation #1 and #2 have the same number of solutions B. Equation #1 has more solutions than Equation #2 C. Equation #1 has fewer solutions than Equation #2 D. None of the statements above describe the number of solutions to equations shown.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
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anonymous
  • anonymous
Im thinking A but I want to be sure im correct
anonymous
  • anonymous
Yes, they would have the same amount of solutions. You have 2 solutions for the first and 2 for the second.
anonymous
  • anonymous
thats what i got also, thanks for the help! :)

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More answers

anonymous
  • anonymous
Do you think you could help with one more? @LegendarySadist
anonymous
  • anonymous
\[\huge \color{aqua}N\color{fuchsia}o \space \color{lime}P \color{orange}r \color{blue}o \color{maroon}b \color{red}l \color{olive}e \color{purple}m \ddot\smile \]
anonymous
  • anonymous
And sure, I can help with one more.
anonymous
  • anonymous
Choose the correct description of the graph of the compound inequality: x - 1 less than or greater to 7 or 2x greater than or equal to 22 Do you need answer choices?
anonymous
  • anonymous
\[x - 1 \le 7 or 2x \ge22\]
anonymous
  • anonymous
So \[\large x-1 \leq 7~~or~~2x \geq 22\]
anonymous
  • anonymous
Use ~ to create spaces in Latex :)
anonymous
  • anonymous
yes thats right, sorry im new to this haha
anonymous
  • anonymous
It's ok, I only learned about that yesterday.
anonymous
  • anonymous
Do you need the answer choices?
anonymous
  • anonymous
It'd be easier to see what I'm looking for, yeah.
anonymous
  • anonymous
okay give me a second to type everything out
anonymous
  • anonymous
Kk, sounds good
anonymous
  • anonymous
A: A number line with an open circle on 8,shading to the left, an open circle on 11, shading to the right. B: A number line with an open circle on 8, an open circle on 11, and shading in between. C: A number line with a closed circle on 8, a closed circle on 11, shading in between. D: A number line with a closed circle on 8, shading to the left, and a closed circle on 11, shading to the right.
anonymous
  • anonymous
First distinction we make in the answer choices is that one uses open circles and the other closed circles. Closed circles are used for \[\large \leq ~~and~~ \geq\] while open circles are used for \[\large <~~and~~>\] So that means we can rule A and B out immediately. So our next distinction between C and D is that C has the shading between 8 and 11, while D has \[\large -\infty \leftarrow 8~~and~~11 \rightarrow \infty\] To figure out this one, just plug in a couple of x values, one below 8, one between 8 and 11, and one above 11. Depending on which ones work out will give you the answer.
anonymous
  • anonymous
im confuse a little as to how i add in x values
anonymous
  • anonymous
can you show me an example?
anonymous
  • anonymous
\[\large x-1 \leq 7\\\large 5-1 \leq 7\\\large 4 \leq 7\] Plugged in 5 for x
anonymous
  • anonymous
would the shading be between the numbers or going separate ways?
anonymous
  • anonymous
Well the shading means what x values are acceptable. If only x values between 8 and 11 fit one of the equations, it's between. If only values below 8 or above 11 fit, it would be separate ways.
anonymous
  • anonymous
so it would be C, correct?
anonymous
  • anonymous
Well let me ask you, was 5 an acceptable x? Would 9 be an acceptable x for either of them?
anonymous
  • anonymous
yes 5 was because 7 is greater then 5 but 9 would not be because 9 is greater than 7
anonymous
  • anonymous
So if the shading is between, you're saying that the acceptable x's are 8,9,10, and 11 ONLY. If it's outside, you're saying everything BUT 9 and 10 are acceptable.
anonymous
  • anonymous
Which statement matches the info that we have?
anonymous
  • anonymous
anything under 7 is exceptiable
anonymous
  • anonymous
im sorry im confused
anonymous
  • anonymous
Ok, let's give you a visual representation. Go to www.desmos.com/calculator and plug in the two inequalities.
anonymous
  • anonymous
I just got a straight white line down the middle of two lines
anonymous
  • anonymous
Is it all red except for one small sliver of white?
anonymous
  • anonymous
yes
anonymous
  • anonymous
Well the red is the "shading' in the question.
anonymous
  • anonymous
oh okay i unserstand. so D. because the shading goes seperate ways.
anonymous
  • anonymous
Right, it would be D
anonymous
  • anonymous
Awesome! Thanks so much
anonymous
  • anonymous
\[\huge \color{aqua}N\color{fuchsia}o \space \color{lime}P \color{orange}r \color{blue}o \color{maroon}b \color{red}l \color{olive}e \color{purple}m \ddot\smile \]

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