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3 years ago

Select an expression that is equivalent to 3(n − 3) + 4. (1 point)

Mathematics

1 answer:

Aleonysh [2.5K]3 years ago

8 0

Answer:

C. 3n+13

Step-by-step explanation:

When you simplyfy 3(n-3)+4 you get 3n-9 +4, Then you add 4 to 9 since addition comes before subtraction and you would get the answer 3n+13.

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Which of the following is the inverse of y=3^x?

mojhsa [17]

For this case, we must find the inverse of the following function:

$y = 3 ^ x$

We follow the steps below:

We exchange the variables:

$x = 3 ^ y$

We put the variable y on the left side of the equation:

$3 ^ y = x$

We apply logarithm properties:

$y = log_ {3} (x)$

So:

$f ^ {- 1} = log_ {3} (x)$

Answer:

$f ^ {- 1} = log_ {3} (x)$

Option B

4 0

4 years ago

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I’m kinda confused. Can someone help.

horsena [70]

Answer:

PQ = $PM\cos MPQ + MQ\cos MQP=2PM\cos MQP$

Step-by-step explanation:

given MQR = 60, PQR = 75

MQP = 75 -60= 15 $QR = ((18(1+\cos 30))^{2}-(2\cos 15)^{2})^{\frac{1}{2}}$

WE KNOW THAT MQR +QRM +QMR = 180

MPQ = MQP AS ANGLE OPPOSITE TO EQUAL SIDES ARE EQUAL

THEREFORE QMR = 90 - 60 = 30

therefore PQM = 75 - 60 = 15

PM = PQ because M is the mid point

therefore PR = PM + $MQ\cos QMR$

PR = $18(1+\cos 30)$

$QR = (PR^{2}-PQ^{2}))^{\frac{1}{2}}$

PQ = $PM\cos MPQ + MQ\cos MQP=2PM\cos MQP$

5 0

3 years ago

how many ways are there for choosing 5 states from the top 10 states with the most murders if order is considered? what about if

ANEK [815]

<span>10!/5! =10*9*8*7*6=30,240;;
If order is not considered, 10C5 =10!/5!5!=252 </span>

8 0

4 years ago

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What is the solution to the following equation?<br><br> 5(2x –6) + 20 = 10

Igoryamba

Answer:

Step-by-step explanation:

Simplifying

5(2x + -6) + 20 = 10

Reorder the terms:

5(-6 + 2x) + 20 = 10

(-6 * 5 + 2x * 5) + 20 = 10

(-30 + 10x) + 20 = 10

Reorder the terms:

-30 + 20 + 10x = 10

Combine like terms: -30 + 20 = -10

-10 + 10x = 10

Solving

-10 + 10x = 10

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '10' to each side of the equation.

-10 + 10 + 10x = 10 + 10

Combine like terms: -10 + 10 = 0

0 + 10x = 10 + 10

10x = 10 + 10

Combine like terms: 10 + 10 = 20

10x = 20

Divide each side by '10'.

x = 2

Simplifying

x = 2

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3 years ago

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Translate the graph of f(x)=2x+3 up 2 units.

lord [1]

If you translate the graph up 2 units, the new equation would be 2x+5

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3 years ago