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S_A_V [24]
3 years ago
10

Help please !!! AAAAAA

Mathematics
1 answer:
lesantik [10]3 years ago
4 0

Answer:

it's 1/3x. You step three on the x-axis and one on the y-axis. So the gradient triangle is 1/3

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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
A dealer offers a $35,000 car with a downpayment of $3,000 and 65 easy monthly payments of $539.99. How much monthly interest ra
m_a_m_a [10]

Answer:

9.68%

Step-by-step explanation:

cost of car = $35,000

down payment = $3,000

number of monthly instalments= $65

amount in every monthly instalment= $539.99

total monthly payment= 65×539.99= 35099.35

amount to be paid apart from downpayment= $35,000-3000= 32,000

therefore total interest paid in 65 months= 35099.35-3200= $3099.35

now, monthly interest rate r= \frac{3099.35}{32,000}\times100

⇒ r= 9.68%

5 0
2 years ago
Read 2 more answers
hannah's school hosted a book donation. there are 150 students at her school, and they donated b books! hannah donated 3 times a
MArishka [77]
3b=150 should be the answer.
8 0
2 years ago
Read 2 more answers
Find the slope of every line that is parallel to the graph of the equation x+7y=6
raketka [301]
x+7y=6

7y=-x+6

(7y)/7=(-x+6)/7

y=(-1/7)x+6/7


Since, y=mx+b and m is the slope

m=-1/7
7 0
2 years ago
1 121 12321 1234321.......56th​
Rudik [331]

Answer:

Bro it is too hard to find . Hope you understand me

3 0
3 years ago
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