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GarryVolchara [31]
2 years ago
11

Rewrite! Write an new and equivalent equation that is easier to solve

Mathematics
1 answer:
Marysya12 [62]2 years ago
6 0

\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}

  • Given - <u>an </u><u>equation</u><u> </u><u>in </u><u>a </u><u>standard</u><u> </u><u>form</u>

  • To do - <u>simplify</u><u> </u><u>the </u><u>equation</u><u> </u><u>so </u><u>as </u><u>to </u><u>obtain </u><u>an </u><u>easier </u><u>one</u>

<u>Since </u><u>the </u><u>equation</u><u> </u><u>provided </u><u>isn't</u><u> </u><u>i</u><u>n</u><u> </u><u>it's</u><u> </u><u>general</u><u> </u><u>form </u><u>,</u><u> </u><u>let's</u><u> </u><u>first </u><u>convert </u><u>it </u><u>~</u>

<u>General</u><u> </u><u>form </u><u>of </u><u>a </u><u>Linear</u><u> equation</u><u> </u><u>-</u>

\bold{ax  + b = 0}

<u>T</u><u>he </u><u>equation</u><u> </u><u>after </u><u>getting</u><u> </u><u>converted</u><u> </u><u>will </u><u>be </u><u>as </u><u>follows</u><u> </u><u>~</u>

- 7 + ( \frac{4x + 2}{2} )  = 8 \\  \\ \implies \:  \frac{ - 14 + 4x + 2}{2}  = 8 \\  \\  \implies \:  - 14 + 4x + 2 = 16 \\  \\ \implies \: 4x = 16 + 14 - 2 \\  \\ \implies \: 4x = 28 \\  \\\bold{ General \: form \:  \dashrightarrow  \: 4x - 28 = 0}

hope helpful ~

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A book with a base price of $15.75 is marked up by 65%. What is the new price, to the nearest cent?
Vaselesa [24]
15,75 - 100 %

100 % =  100/100 = 1

Then every number multiplied by 1 is 100 % of itself.

If the book was marked up 65% of what is was before, it makes a price of 165% when compared to the original.

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1. a line with a slope of 1/3 passes through the point (3, 6) . which point also lies on this line?
valentina_108 [34]

1) Substituting into point-slope form, the equation of the line is y-6=⅓(x-3), which rearranges to:

  • y-6 = ⅓x - 1
  • y = ⅓x + 5

So, we can now substitute in the coordinates of each of the options to see which point lies on the line.

  1. 3 = ⅓(6) + 5 -> 3 = 7, which is false.
  2. 6 = ⅓(7) + 5 -> 6 = 22/3, which is false.
  3. -3 = ⅓(-3) + 5 -> -3 = 4, which is false.
  4. 3 = ⅓(-6) + 5 -> 3 = 3, which is true.

So, the answer is (4) (-6, 3)

2) Substituting into point-slope form, the equation of the line is y - 5 = ¾(x-2), which rearranges to:

  • y - 5 = 0.75x - 1.5
  • y = 0.75x + 3.5

So, we can now substitute in the coordinates of each of the options to see which point lies on the line.

  1. 8 = 0.75(6)+3.5 -> 8 = 8, which is true.
  2. 9 = 0.75(5) + 3.5 -> 9 = 7.25, which is false.
  3. 1 = 0.75(-1) + 3.5 -> 1 = 2.75, which is false.
  4. 2 = 0.75(6) + 3.5 -> 2 = 8, which is false.

So, the answer is (1) (6, 8).

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2 years ago
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