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Alexxx [7]
3 years ago
7

define f(1) in a way that extends f(s)=(s^3-1)/(s^2-1) to be continuous at s=1. Show step-by-step solution.

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
7 0
For a function to be continous right hand limit should be equal to left hand limit 
<span>so que means that we have simply find the limit at s tends to 10 </span>
<span>f(s)=[(s-1)(s^2+1s-1)]/[(s-1)(s+1... </span>

<span>=>f(s)=[s^2+1s+1]/(s+1) </span>

<span>putting s=1</span>

<span>f(s)=6</span>
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Which expression is a linear factor of x6 +x-66?
Naddik [55]

Answer:

Option D.

Step-by-step explanation:

The given expression is

x^6+x-66

It is a polynomial.

(x-c) is a linear factor of polynomial p(x) if p(c)=0.

Substitute x=-1 in the given expression.

(1)^6+(1)-66=-64\neq 0

It means (x+1) is not a linear factor of given expression.

Substitute x=-2 in the given expression.

(-2)^6+(-2)-66=-4\neq 0

It means (x+2) is not a linear factor of given expression.

Substitute x=-4 in the given expression.

(-4)^6+(-4)-66=4026\neq 0

It means (x+4) is not a linear factor of given expression.

None of the given options are a linear factor of given expression.

Therefore, the correct option is D.

7 0
3 years ago
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Svetradugi [14.3K]
B or c for the equation because it is 1-n
8 0
3 years ago
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What is the value of x? <br><br> A. 68° <br> B. 62° <br> C. 112° <br> D. 124
bearhunter [10]
The triangle drawn in the question shows a small single line drawn across two sides of the triangle.

This means that those two sides are equal in length.

Hence, the triangle is an isosceles triangle.

In isosceles triangles, the angles opposite to the equal sides are also equal.

Hence, we know that the two angles other than x is 56°.

The sum of the interior angles of a triangle is 180°

x + 56 + 56 = 180

x = 180 - 56 - 56

x = 180 - 112

x = 68°

Hence, the answer is A.
5 0
3 years ago
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Sue had 5 identical bags of candy to share with the crew. Twenty-five pieces of candy disappeared. Ted had 4 bags with the same
inna [77]

Answer:

Each bag originally had 35 pieces of candy

Step-by-step explanation:

Since the bags are identical, Let them Number of candies in each bag sue had be x. Thus, she had 5x candies. Since she lost 25 pieces, then she now has;

5x - 25 candies left.

We are told that Ted had 4 bags with the same number of candies like Sue had. Thus, he has 4x candies.

He mysteriously found 10 additional pieces. Total Ted now has is;. 4x + 10

Finally, we are told that Sue and Ted now have an equal number of candies.

Thus;

5x - 25 = 4x + 10

Rearranging, we have;

5x - 4x = 25 + 10

x = 35

Thus, each bag originally had 35 pieces of candy

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3 years ago
The committee is planning a party and 150 guests are expected. Each package of plastic spoons contains 24 spoons.
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Answer:

7 packages

Step-by-step explanation:

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