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Yuki888 [10]
3 years ago
5

Find the indicated limit, if it exists. limit of f of x as x approaches 0 where f of x equals 7 minus x squared when x is less t

han 0, 7 when x equals 0, and 10 x plus 7 when x is greater than 0
Mathematics
1 answer:
hram777 [196]3 years ago
8 0

Answer:

answer is 7

Step-by-step explanation:

We are given a piecewise function which has a split at x=0

f(x) = f(x) = 7-x^2, x0

To find the limit, we have to find here left hand limit and right hand limit separately.

Here left hand limit for x tending to 0 is

limit of 7-x^2 as x tends to 0

= 7-0 = 7

Right limit = limit of 10x+7 as x tends to 0

=10(0)+7 = 7

Since right hand limit = left hand limit we have

there exists a limit for x=0 and the limit is 7

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Three ratios that are equivalent to 11:111:111, colon, 1.
nignag [31]

Answer:

sdsadasdads121

Step-by-step explanation:

4 0
3 years ago
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Which number gives you a rational sum when you add it to 4/7
olya-2409 [2.1K]

Answer:

-2/12

Step-by-step explanation:

Given Rational Numbers are 4/7 and 13/7

Adding them we get 4/7+13/7

= (4+13)/7

= 17/7

Therefore, the Sum of 4/7 and 13/7 is 17/7.

Add 5/12 and -3/12?

Given Rational Numbers are 5/12, -3/12

Adding them we get 5/12+(-3)/12

= (5-3)/12

= -2/12

4 0
3 years ago
How do I use the arc length to find the circumference ?
Mashutka [201]
<span>arc length   =   circumference • [central angle (degrees) ÷ 360]

Solving this equation for circumference:
</span>
<span>circumference = arc length / (central angle / 360)

</span><span>circumference = 12 / (85/360)

</span>circumference = 12 / <span><span>0.2361111111 </span>
</span>
<span>circumference = </span> <span> <span> <span> 50.8235294118 </span> </span> </span>

Source:
http://www.1728.org/radians.htm


8 0
3 years ago
The sum of two numbers is 59 and the difference is 3. What are the numbers?
ella [17]

Answer:

31 and 28

Step-by-step explanation:

<u>Let x represent the first number.</u>

<u>Let y represent the second number.</u>

x + y = 59

x - y = 3

<u>Use substitution method to solve.</u>

x = y + 3

y + 3 + y = 59

2y + 3 = 59

<u>Subtract both sides by 3.</u>

2y = 56

<u>Divide both sides by 2.</u>

y = 28

<u>Let's find the second number.</u>

59 - 28 = 31

<u>Check</u>

31 -28 = 3

<u>Answer</u> The two numbers are 28 and 31.

5 0
4 years ago
Solve: Mike rolls two number cubes. What is the probability that the sum of the two number will be less than 4?
galina1969 [7]

The probability that the sum of the two number will be less than 4 is \frac{1}{12}

Explanation:

It is given that Mike rolls two number cubes.

It is given by the sample space S.

Let A be the event that the sum of the two number will be less than 4.

The sample space is given by

S=\left\{\begin{array}{l}(1,1),(1,2),(1,3),(1,4),(1,5),(1,6) \\(2,1),(2,2),(2,3),(2,4),(2,5),(2,6) \\(3,1),(3,2),(3,3),(3,4),(3,5),(3,6) \\(4,1),(4,2),(4,3),(4,4),(4,5),(4,6) \\(5,1),(5,2),(5,3),(5,4),(5,5),(5,6) \\(6,1),(6,2),(6,3),(6,4),(6,5),(6,5)\end{array}\right.

Hence, the total probability of the sample space is P(S)=36

To determine the probability of the sum of the two number will be less than 4, we need to add the outcomes of the two numbered cubes which results in the value less than 4.

Thus, we get,

A=(1,1),(1,2),(2,1)

Thus,

P(A)=3

The probability that the sum of the two number will be less than 4 is given by

\frac{P(A)}{P(S)} =\frac{3}{36}

\frac{P(A)}{P(S)} =\frac{1}{12}

Thus, the probability that the sum of the two number will be less than 4 is \frac{1}{12}

4 0
3 years ago
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