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2 years ago

(2/3)^x-1=27/8, Find x. Please, a step-by-step explanation.

Mathematics

1 answer:

Vaselesa [24]2 years ago

8 0

Answer:

x=-2

Step-by-step explanation:

(2/3)^x-1=27/8

Rewriting the right hand side

(2/3)^x-1=(3/2)^3

We know that a^-b = 1/a^b Hint: { 1/(3/2) = 2/3}

(2/3)^x-1=(2/3) ^-3

The bases are the same, so the exponents are the same

x-1 = -3

x -1+1 = -3+1

x = -2

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Sergio [31]

Answer:

120 degrees.

Step-by-step explanation:

If it is a regular 6 sided figure then each interior angle is 180 - (360/6)

= 120 DEGREES.

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2 years ago

Ben bowled 121 and 184 in his first two games. What must he bowl in his third game to have an average of at least 170?

vagabundo [1.1K]

Answer:

205

Step-by-step explanation:

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2 years ago

Pls answer quickly, thanks!!

dybincka [34]

At the equilibrium price p, we can solve for the quantity of goods x :

demand = supply

5200 - 0.0005x = 2800 + 0.0003x

2400 = 0.0008x

x = 3,000,000

With this quantity of goods, the equilibrium price is

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1 year ago

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2 years ago

What is the equation when y=5x+4 is reflected over the x-axis, y-axis & y=x?

tigry1 [53]

Answer:

A) $y=-5x-4$

B) $y=-5x+4$

C) $y=\frac{x-4}{5}$

Step-by-step explanation:

So we have the equation:

$y=5x+4$

Let's write this in function notation. Thus:

$y=f(x)=5x+4$

To flip a function over the x-axis, multiply the function by -1. Thus:

$f(x)=5x+4\\-(f(x))=-(5x+4)$

Simplify:

$-f(x)=-5x-4$

B) To flip a function over the y-axis, change the variable x to -x. Thus:

$f(x)=5x+4\\f(-x)=5(-x)+4$

Simplify:

$f(-x)=-5x+4$

C) A reflection over the line y=x is synonymous with finding the inverse of the function.

To find the inverse, switch x and f(x) and solve for f(x):

$f(x)=5x+4$

Switch:

$x=5f^{-1}(x)+4$

Subtract 4 from both sides:

$x-4=5f^{-1}(x)$

Divide both sides by 5:

$f^{-1}(x)=\frac{x-4}{5}$

And we're done :)

7 0

2 years ago

(2/3)^x-1=27/8, Find x. Please, a step-by-step explanation.​

(2/3)^x-1=27/8, Find x. Please, a step-by-step explanation.