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3 years ago

Select the postulate that is illustrated for the real numbers.

Mathematics

2 answers:

san4es73 [151]3 years ago

7 0

Answer:

The commutative postulate for multiplication

Step-by-step explanation:

guajiro [1.7K]3 years ago

5 0

Answer:

The commutative Multiplication Postulate

Step-by-step explanation:

The commutative property of multiplication states:

Let x and y be two numbers. Then, according to this property of multiplication,

$x\times y = y\times x$

That is x multiplied by y is equal to y multiplied by x.

Now, we were given:

$12\times 6 = 6\times 12$

This clearly means that 12 multiplied 6 is equal to 6 multiplied 12 times.

Hence, the real numbers out of all the given postulates and properties, they illustrates the commutative property of multiplication.

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In-s [12.5K]

For a function to begin to qualify as differentiable, it would need to be continuous, and to that end you would require that $a$ is such that

$\displaystyle\lim_{x\to0^-}g(x)=\lim_{x\to0^+}g(x)\iff\lim_{x\to0}ax=\lim_{x\to0}x^2-3x$

Obviously, both limits are 0, so $g$ is indeed continuous at $x=0$ .

Now, for $g$ to be differentiable everywhere, its derivative $g'$ must be continuous over its domain. So take the derivative, noting that we can't really say anything about the endpoints of the given intervals:

$g'(x)=\begin{cases}a&\text{for }x0\end{cases}$

and at this time, we don't know what's going on at $x=0$ , so we omit that case. We want $g'$ to be continuous, so we require that

$\displaystyle\lim_{x\to0^-}g'(x)=\lim_{x\to0^+}g'(x)\iff\lim_{x\to0}a=\lim_{x\to0}2x-3$

from which it follows that $a=-3$ .

3 0

3 years ago

Find four consecutive even integers such that if the sum of the first and third is multiplied by 3, the result is 28 less than f

WITCHER [35]

Answer:

$A=-10\\B=-8\\C=-6\\D=-4$

Step-by-step explanation:

We can solve the problem in this way:

- The 1st information that we have is that the four numbers are even and consecutive integer. Let's call these numbers A, B, C and D. This means that:

$D=C+2\\C=B+2\\B=A+2$

(since the distance between two even consecutive numbers is 2)

- The 2nd information that is given is that the sum of the first and third multiplied by 3 equals 28 less than 5 times the fourth, so:

$3(A+C)=5D-28$ (1)

Now we rewrite eq(1) by using:

$D=C+2$

and

$A=C-4$ (obtained by combining the 3 first equations)

So we get:

$3(C-4+C)=5(C+2)-28$

Solving this equation for C,

$6C-12=5C+10-28\\C=-6$

So the other numbers are:

$A=-10\\B=-8\\C=-6\\D=-4$

7 0

3 years ago

What is 5(2x - 2y) - (4x + 3y)

EastWind [94]

Answer:

6x - 13y

Step-by-step explanation:

5(2x - 2y) - (4x + 3y)

10x - 10y - 4x - 3y

10x - 4x - 10y - 3y

6x - 13y

7 0

2 years ago

BRAINLIEST FOR BEST ANSWER

lana [24]

The anwser is d -1, 4

6 0

3 years ago

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Which transformation moves all points the same distance in the same direction?

Lesechka [4]

Answer:

In a translation, ALL of the points move the same distance in the same direction. A translation is called a rigid transformation or isometry because the image is the same size and shape as the pre-image.

Step-by-step explanation:

5 0

3 years ago