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2 years ago

What is the value of 12a^-4b^-3 for a = 2 and b = -1?

Mathematics

2 answers:

sladkih [1.3K]2 years ago

8 0

Answer:

-3/4

Step-by-step explanation:

a = 2 and b = -1

12a⁻⁴b⁻³

= 12(2)⁻⁴(-1)⁻³

= 12(1/16)(-1)

= -12/16

= -3/4

enyata [817]2 years ago

7 0

12a^-4 * b^-3
a= 2 and b = -1

Can you put 2 where it says a and -1 where it says b

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Find the value of the variable y, where the sum of the fractions 6/(y+1) and y/(y-2) is equal to their product.

Blizzard [7]

Answer:

The answer is

$y = 3$

$y = - 4$

Step-by-step explanation:

We must find a solution where

$\frac{6}{y + 1} + \frac{y}{y - 2} = \frac{6}{y + 1} \times \frac{y}{y - 2}$

Consider the Left Side:

First, to add fraction multiply each fraction on the left by it corresponding denomiator and we should get

$\frac{6}{y + 1} \times \frac{y - 2}{y - 2} + \frac{y}{y - 2} \times \frac{y + 1}{y + 1}$

Which equals

$\frac{6y - 12}{(y -2) (y + 1)} + \frac{ {y}^{2} + y }{(y - 2)(y + 1)}$

Add the fractions

$\frac{y {}^{2} + 7y - 12 }{(y - 2)(y + 1)} = \frac{6}{y + 1} \times \frac{y}{y - 2}$

Simplify the right side by multiplying the fraction

$\frac{6y}{(y + 1)(y + 2)}$

Set both fractions equal to each other

$\frac{6y}{(y + 1)(y - 2)} = \frac{ {y}^{2} + 7y - 12}{(y + 1)(y - 2)}$

Since the denomiator are equal, we must set the numerator equal to each other

$6y = {y}^{2} + 7y - 12$

$= {y}^{2} + y - 12$

$(y + 4)(y - 3)$

$y = - 4$

$y = 3$

6 0

2 years ago

Read 2 more answers

Find the equation of the line. Use exact numbers.

luda_lava [24]

Answer:

y = -2x + 5

Step-by-step explanation:

Looking at the line, every time it moves one unit to the right, it goes down two units. Therefore, the slope is -2. Since the y-intercept is 5, the equation of this line is y = -2x+5.

I hope this helped!

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1 year ago

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mariarad [96]

X(2/3y)
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2 years ago

<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B4%7D%20%2816%20%2B%204p%29%20%3D%20" id="TexFormula1" title=" \frac{1}{4}

Leviafan [203]

Hopefully this helps :D

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2 years ago

What is the value of b in the equation (y^-9)^b=y^45?

nevsk [136]

Answer:

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Step-by-step explanation:

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