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3 years ago

The expression X^-6 is equivalent to ?

Mathematics

1 answer:

liubo4ka [24]3 years ago

3 0

Answer:

$x^{-3}$ × $x^{-3}$

Step-by-step explanation:

Using the rule of exponents

$a^{m}$ × $a^{n}$ ⇔ $a^{(m+n)}$

Given

$x^{-6}$ , then

$x^{-3}$ × $x^{-3}$ = $x^{(-3+(-3))}$ = $x^{(-3-3)}$ = $x^{-6}$

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Which inequality has an arrow pointing to the left when the solution set is graphed on a number line?

kupik [55]

Answer:

$x \le 5$

Step-by-step explanation:

Given

Options (a) to (d)

Required

Which represents an arrow pointing left

When an arrow points left on an inequality graph, the inequality is either of the following:

$x < a$ or $x \le a$

From the given options (a) to (d), only $x \le 5$ fits the above description.

Other options illustrate an arrow pointing to the right

To further explain this;

Looking at (b), we have:

$4 \le x$

This is rewritten as:

$x \ge 4$ --- the same form as (c) and (d)

5 0

3 years ago

the number of diagonals that can be drawn in a opolygon of n sides is 1/2n(n-1)-n. If 230 diagonsaals can be drawn how many side

Vitek1552 [10]

Answer:

n = 20

Step-by-step explanation:

The number of diagonal that can be drawn in a polygon of n sides is given by :

$D=\dfrac{n(n-3)}{2}$

If the number of diagonals are 230, then put D = 230 in above formula. So,

$230=\dfrac{n(n-3)}{2}\\\\460=n^2-3n\\\\n^2-3n-460=0$

It is a quadratic equation, the value of n is equal to 20.

It means that for 230 diagonal, there are 20 sides of the polygon.

7 0

4 years ago

The fraction models below represent two fractions of the same whole. How much of the 3/8 is in the 1/4?

algol13

In order to know how much of the 3/8 is in the 1/4, you calculate the quotient between 1/4 and 3/8, just as follow:

1/4 ÷ 3/8

you can convert the previous quotient into a multiplication by inverting the second fraction:

1/4 ÷ 3/8 = (1/4) x (8/3) = 8/12 = 2/3

Hence, 2/3 is what 3/8 is in 1/4

7 0

1 year ago

What is the least common denominator of 4/x * -4/2x^2?

Vanyuwa [196]

The least common denominator would be 2x^2
that is because you would have to multiply the first fraction by 2x
but you can't just somehow simplify 2x^2, it wouldn't be right
4/x * -4/2x^2
2x*4/(2x*x) * -4/2x^2
8x /2x^2 * -4/2x^2
Then you would complete it

Hope this helps :)

6 0

3 years ago

Read 2 more answers

How many solutions exist for the given equation? 3(x + 10) + 6 = 3(x + 12) zero one two infinitely many

NNADVOKAT [17]

For this case we have the following expression:

$3 (x + 10) + 6 = 3 (x + 12)$