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3 years ago

What is 3(x-3) when x=9

Mathematics

2 answers:

vlabodo [156]3 years ago

8 0

Answer: 18

You replace the x with the 9 and multiply 3x9 and 3x3. It equals 27 -9.Subtract it and you will have 18

Sergio [31]3 years ago

4 0

Answer:the answer is 18

Step-by-step explanation:You do 9minus three then get six and then multiply six by three to get 18.

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5. 40 = -1/3(9x + 30)+ 2

Natali5045456 [20]

Answer:

x = -16

Step-by-step explanation:

-1/3 * 9x = -3x

-1/3 * 30 = -10

-10 + 2 = -8

40 = -3x - 8

+8 +8

48 = -3x

--- ----

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3 years ago

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Step-by-step explanation:

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3 years ago

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Rework problem 15 in section 2 of Chapter 5 of your textbook about the growing suburb and the declining city using the following

bazaltina [42]

Answer:

16 years.

Step-by-step explanation:

Please consider the complete question.

Assume that the suburb has a population of 686,000 and is growing at a rate of 4000 per year. Assume that the city has a population of 942,000 and is declining at a rate of 12000 per year. In how many years will the populations of the suburb and the city be equal?

Let x represent number of years.

Growth function would be $G(x)=4000x+686,000$ and decline function would be $D(x)=942,000-12,000x$ .

To find the time when both populations will be equal, we will equate both functions as:

$4000x+686,000=942,000-12,000x$

$4000x+12,000x+686,000=942,000$

$16,000x+686,000=942,000$

$16,000x=942,000-686,000$

$16,000x=256,000$

$\frac{16,000x}{16,000}=\frac{256,000}{16,000}$

$x=16$

Therefore, in 16 years the populations of the suburb and the city will be equal.

6 0

3 years ago

A robot has a straight arm 20 inches long that can rotate about the origin of a coordinate system. If the robot’s hand is locate

scoundrel [369]

Answer:

The location of the robots hand after rotating 45° counterclockwise from (-20, 0) in inches is (-14.14, 14.14)

The location of the robots hand after rotating 45° clockwise from (-20, 0)) in inches is (-14.14, -14.14)

Step-by-step explanation:

The initial location of the robots hand = (-20, 0)

The angle through which the robot rotates his hand = 45°

∴ We have the length of the robots hand = 20 inches

We note that (-20, 0) is in the 2nd Quadrant

The location of the robots hand after rotating 45° counterclockwise = 135°

Therefore, the location of the robots hand after the rotation = (20×cos(135°), 20×sin(135°)) = (-10·√2, 10·√2) = (-14.14, 14.14)

The location of the robots hand after rotating 45° clockwise from (-20, 0) = 225°

Therefore, the location of the robots hand after the rotation = (20×cos(225°), 20×sin(225°)) = (-10·√2, -10·√2) = (-14.14, -14.14)

8 0

3 years ago

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mart [117]

Answer:

Opens upward

Step-by-step explanation:

Since the coefficient of $x^{2}$ is a positive number +8, then it is a parabola that opens upward

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3 years ago

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