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aleksandrvk [35]
4 years ago
13

Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable? (Enter your answers from sm

allest to largest. Enter NONE in any unused answer blanks.) f(x) = x + 3 x2 − 2x − 15

Mathematics
1 answer:
uranmaximum [27]4 years ago
3 0

Answer:

  -3 (removable), +5

Step-by-step explanation:

Maybe you have ...

  f(x)=\dfrac{x+3}{x^2-2x-15}=\dfrac{x+3}{(x+3)(x-5)}=\dfrac{1}{x-5}\quad x\ne-3

This will have discontinuities (points where the function is undefined) at ...

  • x = -3
  • x = 5

The discontinuity as x = -3 is removable by defining f(-3) = -1/8.

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The front of an A-frame cottage has the shape of an isosceles triangle. It stands 23 feet high and is 15 feet wide at its base.
amm1812

Answer:

The angle of elevation is 71.94 degrees.

Step-by-step explanation:

We are given the following in the question:

The front of an A-frame cottage has the shape of an isosceles triangle.

Height,h = 23 feet

Base,b = 15 feet

We have to find the angle of elevation of its roof.

The attached image shows the structure.

We use the relation,

\tan \theta = \dfrac{h}{\frac{b}{2}}\\\\\tan \theta = \dfrac{23}{7.5}\\\\\tan \theta = 3.067\\\theta = \tan^{-1}3.067 = 71.94^\circ

Thus, the angle of elevation is 71.94 degrees.

4 0
3 years ago
20 Points!!!! PLEASE help!! Math!! Due soon!!
gogolik [260]

Answer:

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6 0
3 years ago
Read 2 more answers
What is the inverse of this function
shepuryov [24]
F(n) = n + 3
f(n) = -(n + 3)
f(n)= n -3
7 0
3 years ago
Find 2 consecutive integers such that the sum of the first and three times the second is 11
nevsk [136]

Answer:

  2, 3

Step-by-step explanation:

If the first integer is x, then the second is x+1. The given relation is ...

  x +3(x+1) = 11

  4x = 8 . . . . . . . . subtract 3

  x = 2 . . . . . . . divide by 4

The integers are 2 and 3.

__

<em>Check</em>

  2 + 3(3) = 2+9 = 11

7 0
3 years ago
1/x+3=x+10/x-2 From least to greatest, the solutions are x= and x=<br><br>PLEASE HELP!​
Arturiano [62]

Answer:

x = -8 and x = -4.

Step-by-step explanation:

1/(x + 3) = (x + 10)/(x - 2)

1 * (x - 2) = (x + 10) * (x + 3)

x - 2 = x^2 + 3x + 10x + 30

0 = x^2 + 13x + 30 - x + 2

0 =  x^2 + 12x + 32

0 = (x + 8) * (x + 4)

1. x = -8

2. x = -4

The correct result would be x = -8 and x = -4.

hope this helped

6 0
4 years ago
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