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iogann1982 [59]
3 years ago
15

The points (3, 12) and (2,8) form a proporitonal relationship. What is the slope of the line that passes through

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
8 0

Answer:

y=4x

Step-by-step explanation:

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PLEASE GUYS THIS IS THE HARDEST MATH PORBLEMS PLEASE ASAP PLEASE I NEED HELP PLEASE T_T
Alexandra [31]

The simplified form of R(x) is R(x) =\frac{x^{2} -13x+42}{x^{2} -10x+25}

<h3>Simplifying an expression </h3>

From the question, we are to simplify the expression

From the given information,

f(x) =\frac{x^{2}-11x+28 }{x^{2}-11x+30}

and

g(x) =\frac{x^{2}-9x+20 }{x^{2}-12x+36}

Also,

R(x) = f(x) \div g(x)

∴ R(x) =\frac{x^{2}-11x+28 }{x^{2}-11x+30} \div \frac{x^{2}-9x+20 }{x^{2}-12x+36}

R(x) =\frac{x^{2}-11x+28 }{x^{2}-11x+30} \times \frac{x^{2}-12x+36 }{x^{2}-9x+20}

Factoring each of the quadratics

R(x) =\frac{x^{2}-7x-4x+28 }{x^{2}-6x-5x+30} \times \frac{x^{2}-6x-6x+36 }{x^{2}-4x-5x+20}

R(x) =\frac{x(x-7)-4(x-7) }{x(x-6)-5(x-6)} \times \frac{x(x-6)-6(x-6) }{x(x-4)-5(x-4)}

R(x) =\frac{(x-4)(x-7)}{(x-5)(x-6)} \times \frac{(x-6)(x-6)}{(x-5)(x-4)}

Simplifying

R(x) =\frac{(x-7)}{(x-5)} \times \frac{(x-6)}{(x-5)}

R(x) =\frac{(x-7)(x-6)}{(x-5)(x-5)}

R(x) =\frac{x^{2} -6x-7x+42}{x^{2} -5x-5x+25}

R(x) =\frac{x^{2} -13x+42}{x^{2} -10x+25}

Hence, the simplified form of R(x) is R(x) =\frac{x^{2} -13x+42}{x^{2} -10x+25}

Learn more on Simplifying an expression here: brainly.com/question/1280754

#SPJ1

7 0
1 year ago
How many times can 3 go into 400
user100 [1]
<span><span><span>133.333333333 the 3 goes on forever</span></span><span><span><span>
</span></span></span><span /></span>
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3 years ago
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Flura [38]

Answer:

Step-by-step explanation:

Dear Mrs.Rappa,

I don't know much about this but i do know that saving accounts are risky and she should just set up a checking. Because it's proven that you'll take the risk of losing value in your money. And you take a risk, but to help you more i need to know about what the 5% 7 means. if i do know what it's means, but the 5% is good, it's compound interest which means you get more money on that interest It grows, but as far as the 7 goes, IDK. but the saving %"s are good like yay money, but she takes the risks. So why the risk is there is because of the stock market, and also because the bank takes other clients money for them to pay other client's. So a risk in 7yrs.  

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What are the slope and y intercept of the line 4y= -x - 32
Alona [7]
First you'll have to bring the equation in form y = mx + b.

4y = -x - 32
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So the slope is -1/4 and y-intercept is -8

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