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podryga [215]
3 years ago
15

Explain why the function is discontinuous at the given number

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
7 0

Answer:

  left limit = 2 ≠ 1/2 = right limit

Step-by-step explanation:

A function is discontinuous if the limit of the function value approaching the point from the left is different than the limit approaching from the right.

Here, the left limit is 2 and the right limit is 1/2. The limits are different, which is why the function is discontinuous at x=-1.

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Hi what is 24/30 simplified to<br>​
Tems11 [23]

Answer:

12/15 or .8

Step-by-step explanation:

So first you divide both the numerator and denominator by 2 because it’s the biggest number that goes into both 24 and 30

24 and 30 simplified by 2 gives us 12 and 15

you can’t simplify any further so your answer is 12/15

If you want a decimal, then you divide 24 by 30 and your answer is .8

7 0
2 years ago
What is the slope of the line represented by the equation y =<br> =-1/2 x+ 1/4?
Lemur [1.5K]

Answer:

-1/2

Step-by-step explanation:

y = mx + c is the standard form of the equation where m is slope. Comparing the question to the equation we get

m = -1/2

3 0
2 years ago
Which of the following are square roots of —8 + 8i/3? Check all that apply.
8090 [49]

Answer:

Options (2) and (3)

Step-by-step explanation:

Let, \sqrt{-8+8i\sqrt{3}}=(a+bi)

(\sqrt{-8+8i\sqrt{3}})^2=(a+bi)^2

-8 + 8i√3 = a² + b²i² + 2abi

-8 + 8i√3 = a² - b² + 2abi

By comparing both the sides of the equation,

a² - b² = -8 -------(1)

2ab = 8√3

ab = 4√3 ----------(2)

a = \frac{4\sqrt{3}}{b}

By substituting the value of a in equation (1),

(\frac{4\sqrt{3}}{b})^2-b^2=-8

\frac{48}{b^2}-b^2=-8

48 - b⁴ = -8b²

b⁴ - 8b² - 48 = 0

b⁴ - 12b² + 4b² - 48 = 0

b²(b² - 12) + 4(b² - 12) = 0

(b² + 4)(b² - 12) = 0

b² + 4 = 0 ⇒ b = ±√-4

                     b = ± 2i

b² - 12 = 0 ⇒ b = ±2√3

Since, a = \frac{4\sqrt{3}}{b}

For b = ±2i,

a = \frac{4\sqrt{3}}{\pm2i}

  = \pm\frac{2i\sqrt{3}}{(-1)}

  = \mp 2i\sqrt{3}

But a is real therefore, a ≠ ±2i√3.

For b = ±2√3

a = \frac{4\sqrt{3}}{\pm 2\sqrt{3}}

a = ±2

Therefore, (a + bi) = (2 + 2i√3) and (-2 - 2i√3)

Options (2) and (3) are the correct options.

6 0
3 years ago
Do the table and the equation represent the<br> same function?<br> y = 390 + 11(x)
Aneli [31]

Answer:

NO

Step-by-step explanation:

  • Try to replace x by -50
  • y= 390 + 11*(-50) = -160
  • in the table we have -210 so the table doesn't represent the equation
5 0
3 years ago
I need help please help me
Elan Coil [88]
Here’s the correct answer and how I got it :)

6 0
3 years ago
Read 2 more answers
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