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Ostrovityanka [42]
3 years ago
6

10

Mathematics
1 answer:
marta [7]3 years ago
7 0

Answer:

0

Step-by-step explanation:

1) Multiply the first equation by -3:  -6x - 3y = 12

2) Substitute 2x + 12 for -3y in the above equation, obtaining:

-6x + 2x + 12 = 12

Then -4x = 0, and x = 0.  Letting x = 0 in the first equation, we get:

0 + y = -4, so y = -4.

The x-value at the intersection of the lines is zero (0).

That intersection is at (0, -4).

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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

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1 year ago
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Serhud [2]

Answer: the answer is 521

Step-by-step explanation: i don't know how i got that i am a human calculator :)

8 0
3 years ago
What is 79 1/2% of $7570?
Mariulka [41]

Answer:

$6018.15

Step-by-step explanation:

"is" number always goes on TOP "of" number.

"is" number is 79 1/2%

"of" number is $7570

<em>79 1</em><em>/</em><em>2</em><em> </em><em>%</em><em> </em><em>/</em><em> </em><em>$</em><em>7570</em><em> </em><em>*</em><em> </em><em>100</em><em> </em><em>=</em><em> </em><em>$</em><em>6018.15</em><em> </em>

<em>To</em><em> </em><em>find</em><em> </em><em>out</em><em> </em><em>if</em><em> </em><em>the</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>correct</em><em> </em><em>:</em>

<em>6018.15</em><em> </em><em>/</em><em> </em><em>7570</em><em> </em><em>*</em><em> </em><em>100</em><em> </em><em>=</em><em> </em><em>79.12</em><em>%</em>

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What is the difference in 3 2/8 and 1 3/8
harkovskaia [24]

Answer: 1 7/8

Step-by-step explanation:

Use 26/8 - 11/8 to get 15/8 then convert to mixed number

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3 years ago
Which graphs are functions ( select all that apply ​
Gnesinka [82]

Answer:

The second and third option are both functions!!

Glad to help!!

Step-by-step explanation:

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