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3 years ago

Rewrite the expression using positive exponents 1. 1/9x^-2y^-1 2. a^-5*a^-8

Mathematics

1 answer:

NikAS [45]3 years ago

4 0

Answer:

Property : a^-b = 1/a^b

Using this property, we can rewrite the expression using positive exponents :

$1. \frac{1}{9}*x^{-2} *y^{-1} =\frac{1}{9}\frac{1}{x^{2} } \frac{1}{y} =\frac{1}{9x^{2} y} \\2. a^{-5} a^{-8} =\frac{1}{a^{5}a^{8} } =\frac{1}{a^{13} }$

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1. is he equation true , false, or open

RideAnS [48]

Question 1:

For this case we have the following equation:

$5x ^ 2 = 6x + 11$

We observe that the equation is a polynomial of the second degree.

Therefore, the equation has two possible solutions.

The variable of the equation for this case is x.

In this case, we have an open equation because we have a variable.

Rewriting the equation we have:

$5x ^ 2 - 6x - 11 = 0$

Answer:

open, there is a variable.

Question 2:

For this case we have the following equation:

$2-8x = -6$

From here, we must clear the value of x.

For this, we follow the following steps:

1) Pass the value of 8x adding:

$2 = -6 + 8x$

2) Pass the value of 6 adding:

$2 + 6 = 8x$

3) Add the values on the same side of equality:

$8x = 8$

4) Pass the 8 to divide:

$x = \frac{8}{8} = 1$

Answer:

The value of x is given by:

$x = 1$

Question 3:

For this case we have the following equation:

$y = x-4$

The ordered pair solution is the one that satisfies both sides of the equation.

For the point (6, 2) we have:

$x = 6 y = 2$

Substituting values we have:

$2 = 6-4 2 = 2$

We observe that both sides of the equation are equal.

Therefore, the ordered pair solution is (6, 2)

Answer:

An ordered pair that is a solution of the equation y = x-4 is:

(6, 2)

3 0

3 years ago

Read 2 more answers

Answer this math question pls I'm in a rush

777dan777 [17]

Answer:

61/18

Step-by-step explanation:

Make the mixed fraction an improper fraction first. So instead of 1 1/3, it'll be 4/3.

Now in a rectangular prism, there's two of each congruent sides (three pairs in total).

You'll need to multiply (4/3)(3/4) by 2 because there's two of them.

This gives you (1)(2) which equals 2.

Next, take another set --> (4/3)(1/3)(2) again because there's two of them.

This gives you (4/9)(2) which equals 8/9.

Last, take the last set --> (3/4)(1/3)(2)

This gives you (1/4)(2) which equals 1/2.

Now that you have all the areas of the rectangles, add them all together.

2+8/9+1/2 which equals 61/18 inches squared.

6 0

4 years ago

X=16-4y. systems of equations 3x+4y=8<br> substitution

alina1380 [7]

Answer:

x=-4 y=5

Step-by-step explanation:

Rewrite equations:

x=−4y+16;3x+4y=8

Step: Solvex=−4y+16for x:

x=−4y+16

Step: Substitute−4y+16forxin3x+4y=8:

3x+4y=8

3(−4y+16)+4y=8

−8y+48=8(Simplify both sides of the equation)

−8y+48+−48=8+−48(Add -48 to both sides)

−8y=−40

−8y

−8

−40

−8

(Divide both sides by -8)

y=5

Step: Substitute5foryinx=−4y+16:

x=−4y+16

x=(−4)(5)+16

x=−4(Simplify both sides of the equation)

Answer:

x=−4 and y=5

6 0

2 years ago

Solve this inequality. 4n-3<=21

icang [17]

The answer Will be: n<=6

5 0

3 years ago

X — 5 < 3 OR x – 5 > 8

Vlad1618 [11]

Answer:

x<8 or x>13

Step-by-step explanation:

x-5 < 3

x < 3 + 5

x <8

x – 5 > 8

x > 8 +5

x >13

combining the two, the combined answer for x is

x<8 or x>13

8 0

3 years ago

Read 2 more answers