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2 years ago

Dashawn solves the following system of equations using the elimination method.

Mathematics

1 answer:

Liono4ka [1.6K]2 years ago

6 0

Answer:

x = 4

Explanation:

3x - 4y = 36

5x + 2y = 8 ( multiply all by two )

3x - 4y = 36

10x + 4y = 16

13x = 52

Divide by 13

x = 4 hope this helps

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Determine any asymptotes (Horizontal, vertical or oblique). Find holes, intercepts and state it's domain.

vesna_86 [32]

Factorize the denominator:

$\dfrac{x^2-4}{x^3+x^2-4x-4}=\dfrac{x^2-4}{x^2(x+1)-4(x+1)}=\dfrac{x^2-4}{(x^2-4)(x+1)}$

If $x\neq\pm2$ , we can cancel the factors of $x^2-4$ , which makes $x=-2$ and $x=2$ removable discontinuities that appear as holes in the plot of $g(x)$ .

We're then left with

$\dfrac1{x+1}$

which is undefined when $x=-1$ , so this is the site of a vertical asymptote.

As $x$ gets arbitrarily large in magnitude, we find

$\displaystyle\lim_{x\to-\infty}g(x)=\lim_{x\to+\infty}g(x)=0$

since the degree of the denominator (3) is greater than the degree of the numerator (2). So $y=0$ is a horizontal asymptote.

Intercepts occur where $g(x)=0$ ( $x$ -intercepts) and the value of $g(x)$ when $x=0$ ( $y$ -intercept). There are no $x$ -intercepts because $\dfrac1{x+1}$ is never 0. On the other hand,

$g(0)=\dfrac{0-4}{0+0-0-4}=1$

so there is one $y$ -intercept at (0, 1).

The domain of $g(x)$ is the set of values that $x$ can take on for which $g(x)$ exists. We've already shown that $x$ can't be -2, 2, or -1, so the domain is the set

$\{x\in\mathbb R\mid x\neq-2,x\neq-1,x\neq2\}$

8 0

2 years ago

What unit system of measurement does F represent

earnstyle [38]

Answer:

Fahrenheit

Unit system Imperial/US customary

Unit of Temperature

Symbol °F

Named after Daniel Gabriel Fahrenheit

Step-by-step explanation:

hope it helps

4 0

2 years ago

Amy is planning the seating arrangement for her wedding reception. Each round table can sit 10 guests. The head table can sit th

Zigmanuir [339]

236-6 because of head table

230 divided by 10 because of 10 per table

Answer: 23

3 0

1 year ago

Suppose the function f(x) = 0.035x represents the number of U.S. dollars equivalent to x Russian rubles, and the function g(x) =

const2013 [10]

Answer:

g(f(x)) = 3.15x

Step-by-step explanation:

To find the number of Japanese yen equivalent to x russian rubles, we need to put one function into another.

If we take f(x) and put in into g(x), we will get Japanese yen in terms of rubles. Thus,

g(f(x)) = 90 (0.035x)

g(f(x)) = 3.15x

THis is the composite function which represents the number of Japanese yen equivalent to x Russian Rubles.

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2 years ago

Please help with these 2 questions :(( I really will appreciate it a lot

Art [367]

Answer:

Step-by-step explanation

DO NOT CHANGE YOU ANSWER. it is perfectly fine

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2 years ago