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4 years ago

Evaluate f (x) = 2 x torx =-5.

Mathematics

1 answer:

Bingel [31]4 years ago

4 0

Answer:

-10.

Step-by-step explanation:

f(x) = 2x, x = -5.

f(-5) = 2(-5)

= 2 * (-1) * 5

= 10 * (-1)

= -10.

Hope this helps!

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Matrix A is said to be involutory if A2 = I. Prove that a square matrix A is both orthogonal and involutory if and only if A is

goblinko [34]

Answer:

4 · 1/4 (I-0) = (A-0)∧2

see details in the graph

Step-by-step explanation:

Matrix A is expressed in the form A∧2=I

To proof that Matrix A is both orthogonal and involutory, if and only if A is symmetric is shown by re-expressing that

A∧2=I in the standard form

4 · 1/4 (I-0) = (A-0)∧2

Re-expressing

A∧2 = I as a graphical element plotted on the graph

X∧2=I

The orthogonality is shown in the graphical plot displayed in the picture. Orthogonality expresses the mutually independent form of two vectors expressed in their perpendicularity.

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3 years ago

What is the GCF of the polynomial below? 14x3 + 35x2 - 21x

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Answer:

Step-by-step explanation:

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3 years ago

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garik1379 [7]

Answer:

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Step-by-step explanation:

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3 years ago

The distance between two cities is 87 km. What is the distance between them on a map drawn at a scale of 1:600,000?

Alexxx [7]

Answer:

The correct answer is 14.5 centimeters on the map would be the distance between these two cities.

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Distance between two cities = 87 kilometers

Scale of the map = 1:600,000

2. What is the distance between them on a map with that scale?

For finding out the answer to this question, we need to:

A. Convert 87 kilometers to centimeters, that is the average distance measurement of the maps, this way:

87 kilometers = 87,000 meters (multiplying by 10³)

87,000 meters = 8'700,000 centimeters (multiplying by 10²)

B. Now we divide the measurement in centimeters by the scale, this way:

8'700,000/600,000 = 14.5

The correct answer is 14.5 centimeters on the map would be the distance between these two cities.

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4 years ago

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Which is greater 4 P 3 or 4 C 3?

Vladimir [108]

Answer:

$\large\boxed{_4P_3>_4C_3}$

Step-by-step explanation:

$\left\begin{array}{ccc}_nP_r=\dfrac{n!}{(n-r)!}\\\\_nC_r=\dfrac{n!}{r!(n-r)!}\end{array}\right\}\Rightarrow\dfrac{n!}{(n-r)!}>\dfrac{n^!}{r!(n-r)!}\Rightarrow_nP_r>_nC_r\\\\\text{because}\\-\text{the nominators are the same}\\-\text{the denominator}\ (n-r)!\ \text{is graeter than the denominator}\ r!(n-r)!$

$\text{Let's check our example:}\\\\n!=1\cdot2\cdot3\cdot4\cdot...\cdot n\\\\_4P_3=\dfrac{4!}{(4-3)!}=\dfrac{1\cdot2\cdot3\cdot4}{1!}=\dfrac{24}{1}=24\\\\_4C_3=\dfrac{4!}{3!(4-3)!}=\dfrac{1\cdot2\cdot3\cdot4}{1\cdot2\cdot3\cdot1!}=\dfrac{24}{6}=4\\\\24>4\Rightarrow_4P_3>_4C_3$

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3 years ago

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