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3 years ago

What is the converse of the following statement? If a number is odd, it is not divisible by two.

Mathematics

1 answer:

tensa zangetsu [6.8K]3 years ago

8 0

Converse in discrete mathematics is switching the hypothesis and conclusion of a conditional statement.

So the correct answer will be that If a number is not divisible by two, then it is an odd number. Which is option D.

The math converse of a statement switches the if and then, resulting in a statement that may or may not be true so we have no guarantee that the preposition is true or not.

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A sequence is defined recursively by the formula f(n + 1) = f(n) + 3 . The first term of the sequence is –4. What is the next te

sergiy2304 [10]

Translate the equation to math.
It says the term after the current term is the current term plus 3.
Next term = this term + 3
Next term = -4+3
The next term is then -4+3 or -1.

Answer= - 1

Hope this helps :)

7 0

3 years ago

Let u,v,wu,v,w be three linearly independent vectors in R7R7. Determine a value of kk, k=k= , so that the set S={u−3v,v−2w,w−ku}

11Alexandr11 [23.1K]

Answer:

1/6

Step-by-step explanation:

For a set of vectors a, b and c to be linearly dependent, the linear combination of the set of vectors must be zero.

C1a + C2b + C3c = 0

From the question, we are given the set S={u−3v,v−2w,w−ku}, the corresponding vectors are a(0, -3, 1), b(-2,1,0) and c(1,0,-k)

The values in parenthesis are the ccoefficients of w, v and u respectively.

On writing this vector as a linear combination, we will have;

C1(0, -3, 1) + C2(-2,1,0) + C3(1,0,-k) = (0,0,0)

0-2C2+C3 = 0........ 1

-3C1+C2 = 0 ........... 2

C1-kC3 = 0 ….......... 3

From equation 2, 3C1 = C2

Substituting into 1, -2(3C1)+C3 = 0

-6C1+C3 = 0

-6C1 = -C3

6C1 = C3.…..4

Substitute 4 into 3 to have

C1-k(6C1) = 0

C1 = k6C1

6k = 1

k = 1/6

Hence the value of k for the set of vectors to be linearly dependent is 1/6

6 0

2 years ago

Write the slope intercept

Papessa [141]

Find the slop equation.

Slope: -3

Y-intetrcept: -3
$y = - 3x - 3$
Now write it as an inuquality.

It's shaded to the left and the line is not fully filled in. Which means that whatever "y" is, it's Less than the and equal to the slope.
$y \leqslant - 3x - 3$
Hope this helps :)

4 0

3 years ago

You are supposed to distribute to only one term (the first).

Tom [10]

Answer:

true

Step-by-step explanation:

There is no distribution (unless you count substitution) in the second set of terms.

Edit: I think I get what your question is now. You are supposed to distribute to every term inside the parenthesis (false)

6 0

2 years ago

Read 2 more answers

What would you multiply by to decrease<br> an amount by 95%?

Crazy boy [7]

Answer:

-0.95

Step-by-step explanation:

Divide the percent by 100 and since you are decreasing it would be a negative.

4 0

3 years ago