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ioda
4 years ago
6

What are the discontinuities of the function f(x) = x^2+2x-24/6x+24?

Mathematics
1 answer:
JulsSmile [24]4 years ago
5 0

Answer:

  a vertical asymptote at x=-4

Step-by-step explanation:

f(x)=\dfrac{x^2+2x-24}{6x+24}=\dfrac{(x+6)(x-4)}{6(x+4)}

The binomial denominator factor is not canceled by a numerator factor, so represents a vertical asymptote at x=-4. That is the only discontinuity

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8 1/4 ÷d= 2/11 please give me the answer in fraction form
marusya05 [52]

Answer: 45 and 3/8

Step-by-step explanation:

8 and 1/4 = 8.25

8.25/d = 2/11

Multiply 2 x d and 8.25 x 11

2d = 90.75

Divide 90.75 by 2 = 45.375

.375 = 3/8

3 0
3 years ago
Kiki works in a furniture store. Her base salary is $150 per day, plus 8 percent commission on her sales. She sells several high
Romashka-Z-Leto [24]

Answer:

614

Step-by-step explanation:

614 can also look like this ^!$ if you hold down caps.

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3 years ago
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How to factorize 5x^2-20y^2​
Lilit [14]

Answer:

Step-by-step explanation:

5x^2-20y^2\\=5(x^{2} -4y^2)\\=5[x^{2} -(2y)^2]\\=5(x+2y)(x-2y)

7 0
2 years ago
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Sarah walks 20 feet away from her house and places a mirror on the ground. She backs 5 feet away from the mirror so that she can
Vikki [24]

Answer:

16 feet

Step-by-step explanation:

As said in the problem statement, the angles between the top of the house, the mirror, and the ground and between Sarah's eyes, the mirror, and the ground are congruent.

We also know that Sarah and the house are perpendicular to the ground.

So if we draw a triangle from the top of the house, to the mirror, to the bottom of the house, and another triangle from Sarah's eyes, to the mirror, to Sarah's feet, we get two triangles that have the same angles.  Therefore, the triangles are similar, and we can write a proportion:

4 / 5 = h / 20

h = 16

The house is 16 feet tall.

4 0
3 years ago
Did I do my line to reflect x=1 correctly?
SashulF [63]

Answer:

yes, you did

Step-by-step explanation:

When it's x= a number the line is vertical and when it's y= a number it's horizontal.

8 0
4 years ago
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