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3 years ago

Is this in proper standard notation? 5x - 5y = 7

1 answer:

8 0

Yes this is in standard form Ax+By = C. In this case, A = 5, B = -5 and C = 7. We cannot simplify this any further because the GCF of the three values is 1.

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Help me as soon as possible PLEASE HELP

disa [49]

Answer:

QRT = 47, TRS = 133

Step-by-step explanation:

Since QRS is a line, QRT + TRS = 180.

$QRT+TRS=180\\3x+5+10x-7=180\\$

Then, solve for x. Combine like terms.

$13x-2=180\\13x=182\\x=14$

Then, plug in 14 for x.

$1. (3*14+5)\\\\QRT = 47\\\\2. (10*14-7)\\\\TRS = 133$

7 0

3 years ago

(5x^3-8x^2+9x+12)/(x-3)<br><br> please answer with sentences on how to do it step by step. thanks!

Anastaziya [24]

Answer:

$5x^2+7x+30+\frac{102}{x-3}$

Step-by-step explanation:

$\mathrm{Divide\:the\:leading\:coefficients\:of\:the\:numerator\:}5x^3-8x^2+9x+12\\\mathrm{and\:the\:divisor\:}x-3\mathrm{\::\:}\frac{5x^3}{x}=5x^2\\\mathrm{Quotient}=5x^2\\\mathrm{Multiply\:}x-3\mathrm{\:by\:}5x^2:\:5x^3-15x^2\\\mathrm{Subtract\:}5x^3-15x^2\mathrm{\:from\:}5x^3-8x^2+9x+12\mathrm{\:to\:get\:new\:remainder}\\\mathrm{Remainder}=7x^2+9x+12\\\mathrm{Therefore}\\=5x^2+\frac{7x^2+9x+12}{x-3}$

$\mathrm{Divide\:the\:leading\:coefficients\:of\:the\:numerator\:}7x^2+9x+12\\\mathrm{and\:the\:divisor\:}x-3\mathrm{\::\:}\frac{7x^2}{x}=7x\\\mathrm{Quotient}=7x\\\mathrm{Multiply\:}x-3\mathrm{\:by\:}7x:\:7x^2-21x\\\mathrm{Subtract\:}7x^2-21x\mathrm{\:from\:}7x^2+9x+12\mathrm{\:to\:get\:new\:remainder}\\\mathrm{Remainder}=30x+12\\\mathrm{Therefore}\\=5x^2+7x+\frac{30x+12}{x-3}\\$

$\mathrm{Divide\:the\:leading\:coefficients\:of\:the\:numerator\:}30x+12\\\mathrm{and\:the\:divisor\:}x-3\mathrm{\::\:}\frac{30x}{x}=30\\\mathrm{Quotient}=30\\\mathrm{Multiply\:}x-3\mathrm{\:by\:}30:\:30x-90\\\mathrm{Subtract\:}30x-90\mathrm{\:from\:}30x+12\mathrm{\:to\:get\:new\:remainder}\\\mathrm{Remainder}=102\\\mathrm{Therefore}\\=5x^2+7x+30+\frac{102}{x-3}$

6 0

3 years ago

Read 2 more answers

I need help with this please

Levart [38]

Yu can you think how many triangles fit in that parallelogram? The answer is six. four in the central rectangle and two at the ends, then the area of the parallelogram will be six times greater than that of the triangle in that graph. Good luck! M.

7 0

4 years ago

A rectangle is 3 feet longer than it is wide . if the perimeter is 30 feet , find the area in square feet .

noname [10]

Answer:

Hey

Step-by-step explanation:

I beleve you answer is 10 because 3 time 10 equals 30 and the question sais "3 times longer"

5 0

3 years ago

How to solve it to put 65% of his Christmas money in the bank.If he had $70 left after he put the money in the bank. How much mo

kow [346]

Answer:

$200

Step-by-step explanation:

Let X be the amount of Christmas money he had at the beginning.

He put 65% of X in the bank. This is 0.65x

He has $70 left which is equal to 0.35x

We need to write an equation to find the value of x.

70 = 0.35x

Divide by 0.35 to find the value of x.

70/0.35 = 0.35x/0.35

200 = x

He received $200 for Christmas.

8 0

3 years ago