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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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Rusty's hair grows at the rate of 1 over 4 inch per month.
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Easy Way:<span>If your hair were to grow 1/4 inches a month, it would also grow 2/8 inches a month, since 1/4 = 2/8. How long with it take 1/8 (0.5/4)inches to grow? It would take a half of a month for your hair to grow 1/8 inches.
</span><span>Now that we know 1/8 inches grows in a half of a month, we add a half of a month for every eigths. Since we are trying to figure out how long it would take for it to grow 5/8 inches, we add 5 half months to get the answer of 2 and a half months. Kind of confusing, but that is the best way I can describe it.</span>
8 0
3 years ago
Read 2 more answers
|14+x|-5=k solve for k​
guajiro [1.7K]

Answer:

k=|14+x|-5

Step-by-step explanation:

just rewrite the equation as k=|14+x|-5

6 0
3 years ago
A bakery sold a total of 400 cupcakes in a day, and 43% of them were vanilla flavored. how many of the cupcakes sold that day we
garik1379 [7]

The number of the cupcakes sold that day that were vanilla flavored is 172.

<h3>How do we calculate a number from a percentage?</h3>

The number of the cupcakes sold that day that were vanilla flavored can be calculated using the following formula:

Number of vanilla flavored cupcakes sold = Total number of cupcakes sold * Percentage that were vanilla flavored .............. (1)

Substituting the relevant values into equation (1), we have:

Number of vanilla flavored cupcakes sold = 400 * 43% = 172

Learn more about percentages here: brainly.com/question/14801224.

#SPJ1

7 0
1 year ago
Which expression is equivalent to -6x^3 • x • y^2 • y^6?
Georgia [21]

Use the Product Rule: x^ax^b = x^a + b

6x^3 + 1y^2 + 6

Simplify 3 + 1 to 4

6x^4y^2 + 6

Simplify 2 + 6 to 8

<u>= C) 6x^4 y^8</u>

4 0
3 years ago
Write the equation for a line in standard form (Ax+By+C) that is perpendicular to y = 3x -
salantis [7]

Answer:

x+3y-6=0

Step-by-step explanation:

given eqn is y=3x-2 which is 3x-y-2=0

the eqn of line perpendicular to given eqn is -x+3y+k=0

it passes through (6,4)

-6+3*4+k=0

or,. -6+12+k=0

or, k= -6

therefore, the eqn of line perpendicular to given eqn is x+3y-6=0

8 0
3 years ago
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