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viva [34]
3 years ago
9

Determine whether Rolle's Theorem can be applied to f(x)=(x-1) (x-2)(x-3) on the closed interval [1,3]. Of Rolle's Theorem can b

e applied, find all values of c in the open interval (1,3) such that f'(c)=0
Mathematics
1 answer:
NeX [460]3 years ago
6 0

Answer:56

Step-by-step explanation:

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Choose the single logarithmic expression that is equivalent to the one shown.
Lena [83]

Answer:

C. log2 3/2.

Step-by-step explanation:

When you are adding two logs with the same base, you multiply.

So, log2 6 + log2 2 = log2 6 * 2 = log2 12

When you subtract two logs with the same base, you divide.

So, log2 12 - log2 8 = log2 12 / 8 = log2 3/2

The answer is C. log2 3/2.

Hope this helps!!

8 0
3 years ago
Read 2 more answers
Find the remaining side of a 45° – 45° – 90° triangle if the shorter sides are 2/3 each .
Amiraneli [1.4K]

Answer:

The length of the longer side is 2√2/3

Step-by-step explanation:

A 45-45-90 triangle is a right-angled triangle.

In fact, since it has two angles equal, it is a right angled isosceles triangle. What we are saying is that two of its sides are equal.

Hence, we have two short sides which are the opposite and the adjacent and a longer side which is the hypotenuse

Thus, to find the length of the longer side, we employ Pythagoras’ theorem and it states that the square of the hypotenuse equals the sum of the squares of the two other sides;

Mathematically, let’s call the longer side x

so x^2 = (2/3)^2 + (2/3)^2

x^2 = 4/9 + 4/9

x^2 = 8/9

x = √(8/9)

x = 2√2/3

4 0
3 years ago
Simplify: 36÷(–3) + 2(27÷3 x -2).
jeka94

Answer:

-48

Step-by-step explanation:

36/-3 = -12

-12 + 2(27/3 * -2)

27/3 = 9

-12 + 2(9 * -2)

9 * -2 = -18

-12 + 2(-18)

2 * -18 = -36

-12 + -36 = -12 - 36

-48

4 0
3 years ago
What is a counterexample to this claim?
yan [13]
Answer: B
Explanation: 9 is the only odd number meaning it’s contradicting the claim that all perfect squares are even since 9 isn’t even. a 3x3 square would be 9 but its also perfect explaining how not all perfect squares are even.
5 0
3 years ago
M1Q1.) Which plot represents a stemplot of the data?
shusha [124]

Answer:

answer 1

Step-by-step explanation:

Since there's only 1 value in the 90-99 groups it is either 1 or 3.

Furthermore, there are only 2 values starting with 10.

This only fits with answer 1

6 0
4 years ago
Read 2 more answers
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