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2 years ago

What is the Product?

Mathematics

1 answer:

REY [17]2 years ago

3 0

The given,matrix is [1 -4 5 -7] Thus, the correct option is A [3 -12 15 -21].

<h3>What is the fundamental principle of multiplication?</h3>

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

The given, a matrix is

[1 -4 5 -7]

The product will be

3. [1 -4 5 -7]

[3 -12 15 -21]

Thus, the correct option is A [3 -12 15 -21].

Learn more about multiplications;

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Consider the functions f and g defined by \[f(x) = \sqrt{\dfrac{x+1}{x-1}}\qquad\qquad\text{and}\qquad\qquad g(x) = \dfrac{\sqrt

tino4ka555 [31]

Answer:

The given functions are not same because the domain of both functions are different.

Step-by-step explanation:

The given functions are

$f(x)= \sqrt{\dfrac{x+1}{x-1}}$

$g(x) = \dfrac{\sqrt{x+1}}{\sqrt{x-1}}$

First find the domain of both functions. Radicand can not be negative.

Domain of f(x):

$\dfrac{x+1}{x-1}>0$

This is possible if both numerator or denominator are either positive or negative.

Case 1: Both numerator or denominator are positive.

$x+1\geq 0\Rightarrow x\geq -1$

$x-1\geq 0\Rightarrow x\geq 1$

So, the function is defined for x≥1.

Case 2: Both numerator or denominator are negative.

$x+1\leq 0\Rightarrow x\leq -1$

$x-1\leq 0\Rightarrow x\leq 1$

So, the function is defined for x≤-1.

From case 1 and 2 the domain of the function f(x) is (-∞,-1]∪[1,∞).

Domain of g(x):

$x+1\geq 0\Rightarrow x\geq -1$

$x-1\geq 0\Rightarrow x\geq 1$

So, the function is defined for x≥1.

So, domain of g(x) is [1,∞).

Therefore, the given functions are not same because the domain of both functions are different.

4 0

3 years ago

Lin has a scale model of a modern train. The model is created at a scale of 1 to 48. The height of the model train is 102 millil

alekssr [168]

Answer: The actual height of train = 4.896 meters.

Step-by-step explanation:

Since we have given that

Lina has a scale model of a modern train

Model is created at a scale is given by

1:48

Height of the model train = 102 millimeters

We need to find the actual height of the train.

Since there is direct variation between model and actual height of the train.

According to question,

$\frac{1}{48}=\frac{102}{x}\\\\x=102\times 48\\\\x=4896\ millimeters\\\\x=4.896\ m$

Hence, the actual height of train = 4.896 meters.

6 0

2 years ago

NEED HELP FAST!!! Find the percent of increase from 260 to 430. Round to the nearest tenth of a percent if necessary.

a_sh-v [17]

You started out with 260, and increased to 430.
The amount you increased was (430 - 260) = 170

170 is (170/260) = <em>65.4%</em> of what you started with.

============================

Another way:

The new amount is (430/260) of the old amount.

430 / 260 = 1.654 = 165.4%

The original amount was 260.
You started with 100% of it.
You ended up with 165.4% of it.
That's an increase of 65.4% .

5 0

2 years ago

What is an algebraic expression for the following word phrase: "6 times the difference of b and p?"

Marat540 [252]

1. B
2. C
There you go! :)

6 0

3 years ago

What is equivalent to 4:3

kap26 [50]

Answer:

the answer is 6:8 or 9:12

Step-by-step explanation:

7 0

2 years ago