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4 years ago

P E M D A S means what ????

Mathematics

2 answers:

Pachacha [2.7K]4 years ago

6 0

P ⇔ Parenthesis
E ⇔ Exponents
M ⇔ Multiplication.
D ⇔ Division.
A ⇔ Addition.
S ⇔ Subtraction.

alekssr [168]4 years ago

3 0

P- Parenthesis
E- Exponents
M- Multiplication
D- Division
A- Addition
S - Subtraction

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Find the inverse of each function.

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The inverse of a function is the opposite of the function

<h3>How to determine the inverse functions</h3>

1) y = log2 (3x)

Swap the positions of x and y

$x = \log_2(3y)$

Apply the exponential rule

$2^x = 3y$

Make y the subject

$y = \frac{2^x}3$

Hence, the inverse function is: $y = \frac{2^x}3$

2) y=log3(x-1)

Swap x and y

$x = \log_3(y - 1)$

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$3^x = y - 1$

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$y = 3^x + 1$

Hence, the inverse function is: $y = 3^x + 1$

3) y=-2log x

Swap x and y

$x=-2\log y$

Divide both sides by -2

$-0.5x=\log y$

Apply exponent rule

$y = 10^{-0.5x}$

Hence, the inverse function is: $y = 10^{-0.5x}$

4) y=log6(3x)

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$x = \log_6(3y)$

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$3y = 6^x$

Make y the subject

$y = \frac{6^x}{3}$

Hence, the inverse function is: $y = \frac{6^x}{3}$

5)y=log3(x+2)

Swap x and y

$x = \log_3(y + 2)$

Apply exponent rule

$y + 2 = 3^x$

Make y the subject

$y = 3^x - 2$

Hence, the inverse function is: $y = 3^x - 2$

6) y=log3(5^3)

Swap x and y

$x = \log_3(5^3)$

Hence, the inverse function is: $x = \log_3(5^3)$

7) y=6^x+5

Swap x and y

$x = 6^y + 5$

Subtract 5 from both sides

$6^y = x - 5$

Apply logarithm

$y = \log_6(x - 5)$

Hence, the inverse function is: $y = \log_6(x - 5)$

9) y=log3 2^x

Swap x and y

$x = \log_3(2^y)$

Apply exponent rule

$2^y = 3^x$

Apply logarithm

$y = \log_2(3^x)$

Hence, the inverse function is: $y = \log_2(3^x)$

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Swap x and y

$x = 3^y - 7$

Add 7 to both sides

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Apply logarithm

$y = \log_3(x + 7)$

Hence, the inverse function is: $y = \log_3(x + 7)$

Read more about inverse functions at:

brainly.com/question/14391067

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2 years ago

Two rectangular prisms are shown. The prisms have the same dimensions. What is the total volume of both prisms?

azamat

Answer:

V= 2* L*B*H

Step-by-step explanation:

Although we are not given the dimension of the rectangular prisms in this question

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Since the number of the prism is two

Hence the volume of the two prisms

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Therefore, when the plugin the dimensions of the prism into the expression above, you will get the volume of the two prisms combined

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