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Veronika [31]
3 years ago
11

Is 15b+4=25.6 equivalent to 0.6+15b+4=25.6

Mathematics
1 answer:
pychu [463]3 years ago
3 0
No because
15b + 4 = 25.6
15b = 21.6
b = 1.44

0.6+15b+4 = 25.6
4.6 + 15b = 25.6
15b = 21
b = 1.4

The answers are not the same therefore they are not equivalent.
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Determine whether the set of vectors is a basis for ℛ3. Given the set of vectors , decide which of the following statements is t
schepotkina [342]

Answer:

(A) Set A is linearly independent and spans R^3. Set is a basis for R^3.

Step-by-Step Explanation

<u>Definition (Linear Independence)</u>

A set of vectors is said to be linearly independent if at least one of the vectors can be written as a linear combination of the others. The identity matrix is linearly independent.

<u>Definition (Span of a Set of Vectors)</u>

The Span of a set of vectors is the set of all linear combinations of the vectors.

<u>Definition (A Basis of a Subspace).</u>

A subset B of a vector space V is called a basis if: (1)B is linearly independent, and; (2) B is a spanning set of V.

Given the set of vectors  A= \left(\begin{array}{[c][c][c][c]}1 & 0 & 0 & 0\\ 0 & 1 & 0 & 1\\ 0 & 0 & 1 & 1\end{array} \right) , we are to decide which of the given statements is true:

In Matrix A= \left(\begin{array}{[c][c][c][c]}(1) & 0 & 0 & 0\\ 0 & (1) & 0 & 1\\ 0 & 0 & (1) & 1\end{array} \right) , the circled numbers are the pivots. There are 3 pivots in this case. By the theorem that The Row Rank=Column Rank of a Matrix, the column rank of A is 3. Thus there are 3 linearly independent columns of A and one linearly dependent column. R^3 has a dimension of 3, thus any 3 linearly independent vectors will span it. We conclude thus that the columns of A spans R^3.

Therefore Set A is linearly independent and spans R^3. Thus it is basis for R^3.

8 0
3 years ago
Find the least common multiple of x2 – 8x + 12 and x2 – x – 2.
abruzzese [7]
<span>The least common multiple of x² – 8x + 12 and x² – x – 2.

by factoring:
∴ </span><span>x² – 8x + 12 = (x-2)(x-6)

       </span><span>x² – x – 2 = (x-2)(x+1)

note: the factor (x-2) is common between them take it one time

∴ LCM = (x-2)(x-6)(x+1)
</span>
6 0
3 years ago
Read 2 more answers
The measure of angle P is five less than four times the measure of angle Q. Of angle P and angle Q are supplementary angles, fin
Andru [333]

Answer:

m∠P=140°

Step-by-step explanation:

Given:

∠P and ∠Q are supplementary angles.

The measure of angle P is five less than four times the measure of angle Q.

To find m∠P

Solution:

The measure of angle P can be given as:

A) m\angle P=4(m\angle Q-5)

And

B) m\angle P+ m\angle Q=180 [Definition of supplementary angles]

Substituting equation A into B.

4(m\angle Q-5)+ m\angle Q=180

Solving for m\angle Q

Using distribution:

4m\angle Q-20+ m\angle Q=180

Simplifying by combining like terms.

5m\angle Q-20=180

Adding 20 to both sides.

5m\angle Q-20+20=180+20

5m\angle Q=200

Dividing both sides by 5.

\frac{5m\angle Q}{5}=\frac{200}{5}

m\angle Q=40

Substituting m\angle Q=40 in equation B.

m\angle P+ 40=180

Subtracting both sides by 40.

m\angle P+ 40-40=180-40

m\angle P=140

Thus, we have:

m∠P=140° (Answer)

7 0
3 years ago
Which expressions are equivalent
Kazeer [188]

Step-by-step explanation:

The first set is equivalent.

We obtain the right-hand side by swapping places of the terms.

5 0
3 years ago
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grigory [225]
8/25 is equal to 0.32.
3 0
3 years ago
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