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Fynjy0 [20]
3 years ago
7

Math 3 help! find all the asymptotes and wholes of the polynomial: (x-3)/x^2-9 (show work)​

Mathematics
1 answer:
Mandarinka [93]3 years ago
4 0

Answer:

1/x+3

Step-by-step explanation:

Idk if this is the right answer bc I dont know what the format that the question is in...hope this helps :/ right the work...

x-3/x^2-9

=x-3/(x+3)(x-3)

=1/x+3

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Write an equation in slope-intercept form from the points (0, 3) and (-4,-1)
Bezzdna [24]

Answer:

y = x + 3

Step-by-step explanation:

Slope-intercept form is represented by the formula y = mx + b. We can write an equation in point-slope form first, then convert it to that form.

1) First, find the slope of the line. Use the slope formula  m = \frac{y_2-y_1}{x_2-x_1} and substitute the x and y values of the given points into it. Then, simplify to find the slope, or m:

m = \frac{(-1)-(3)}{(-4)-(0)} \\m = \frac{-1-3}{-4-0} \\m = \frac{-4}{-4} \\m = 1

Thus, the slope of the line must be 1.

2) Now, since we know a point the line intersects and its slope, use the point-slope formula y-y_1=m(x-x_1) and substitute values for m, x_1, and y_1. From there, we can convert the equation into slope-intercept form.

Since m represents the slope, substitute 1 in its place. Since x_1 and y_1 represent the x and y values of a point the line intersects, choose any one of the given points (either one is fine) and substitute its x and y values into the equation, too. (I chose (0,3).) Finally, isolate y to find the answer:

y-3=1(x-0)\\y-3 = x\\y = x + 3

8 0
3 years ago
X² + 7x + 12 factorise it​
Sidana [21]

Step-by-step explanation:

x²+7x+12

x²+4x+3x+12

x(x+4)+3(x+4)

(x+3)(x+4)

hope it helps

4 0
2 years ago
Find the value of x.
Luden [163]

Solution given in the attachment.

7 0
1 year ago
<img src="https://tex.z-dn.net/?f=%5Cfrac%20%7B%2018%20%5E%20%7B%20n%20%2B%201%20%7D%20%5Ctimes%203%20%5E%20%7B%201%20-%20n%20%7
Rufina [12.5K]

Answer:

4 \times  {3}^{n + 3}

Step-by-step explanation:

\frac{ {18}^{n + 1}  \times {3}^{1 - n}}{  {2}^{n - 1}  }

\frac{ {3}^{2n + 2}  \times  {2}^{n + 1}  \times  {3}^{1 - n} }{ {2}^{n - 1} }

{3}^{2n + 2}  \times  {2}^{2}  \times  {3}^{1 - n}

{3}^{2n + 2}  \times 4 \times  {3}^{1 - n}

= 4 \times  {3}^{n + 3}

8 0
3 years ago
Read 2 more answers
One hiking club charges $16 to become a member and $3 to participate on each hike. Another club charges no membership fee, but c
yawa3891 [41]

Answer:

x < 8

Step-by-step explanation:

x= # of hikes

3x +16 =5x

-3x. -3x

16=2x

16/2= 8

2x/2= x

8=x

x=8

check:

3(8) +16 =5(8)

24 +16 =40

40=40 ✓

there for at 8 hikes with either deal it would be the same but if you went up a number of hikes for the first option it would only be $43.00 spent in total. but with the second option it would be $45.00.

7 0
3 years ago
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