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timofeeve [1]
4 years ago
12

Which expression represents the perimeter of the triangle 3k+5 15+4k 2k+16

Mathematics
1 answer:
mihalych1998 [28]4 years ago
5 0
Just add then loke this 3k +4k + 2k = 9k and then you add 15 + 16 + 5 = 36 and the answer is 9k + 36
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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
3 years ago
6. The sequence is recursive. Find the value of the next term in the sequence.
Alisiya [41]

Answer: the value is 30

Step-by-step explanation:

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8 0
3 years ago
Can you help me with this question please
NeTakaya

Answer:

A  B  C  D

6.5

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castortr0y [4]

Answer:

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Step-by-step explanation:

1. Add up the percents

19% + 28% + 13% = 60%

2. Subtract from 100%

100% - 60% = 40%

3. Multiply the total number of animals by the percent of chickens

160 * .4 = 64 Chickens



7 0
3 years ago
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Difference between the smallest term in the data set and the largest term in the data set
tamaranim1 [39]

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