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iragen [17]
3 years ago
13

HELP FIRST GETS BRAINLY

Mathematics
1 answer:
TiliK225 [7]3 years ago
4 0

Answer:

3/21 most simplest form is 1/7

Step-by-step explanation:

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What is the equation of the oblique asymptote?<br> h(x) = x² – 3x - 4/x + 2
NNADVOKAT [17]

Simplifying h(x) gives

h(x) = (x² - 3x - 4) / (x + 2)

h(x) = ((x² + 4x + 4) - 4x - 4 - 3x - 4) / (x + 2)

h(x) = ((x + 2)² - 7x - 8) / (x + 2)

h(x) = ((x + 2)² - 7 (x + 2) - 14 - 8) / (x + 2)

h(x) = ((x + 2)² - 7 (x + 2) - 22) / (x + 2)

h(x) = (x + 2) - 7 - 22/(x + 2)

h(x) = x - 5 - 22/(x + 2)

An oblique asymptote of h(x) is a linear function p(x) = ax + b such that

\displaystyle \lim_{x\to\pm\infty} h(x) - p(x) = 0

In the simplified form of h(x), taking the limit as x gets arbitrarily large, we obviously have -22/(x + 2) converging to 0, while x - 5 approaches either +∞ or -∞. If we let p(x) = x - 5, however, we do have h(x) - p(x) approaching 0. So the oblique asymptote is the line y = x - 5.

4 0
2 years ago
For the equation 3(2x − 5) = 6x + k, which value of k will create an equation with infinitely many solutions?
lana [24]

Answer: K = -14

Step-by-step explanation: solve for k by simplifying both sides of the equation then isolating the variable

5 0
3 years ago
Read 2 more answers
The number of students in a math club decreased from 15 to 11. What is the percent decrease? Round to the nearest percent.
Alinara [238K]

Answer:

27%

Step-by-step explanation:

Decrease= 15-11

=4

Percentage=4÷15

=0.266666667

=26.667%

~27%

4 0
3 years ago
The sides of a triangle are x, x+7, and 2x-8. If the perimeter of the triangle is 47, what is x
kirza4 [7]

just like the previous one, we sum the sides to get the perimeter.


\bf (x)+(x+7)+(2x-8)=47\implies 4x-1=47\implies 4x=48\\\\\\x=\cfrac{48}{4}\implies x=12

8 0
3 years ago
Estimate: 23.41 ÷ 3.1
Setler [38]
Give a minute I will find answer
6 0
3 years ago
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