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2 years ago

3x^2 + 18x + 27 = 0 can you solve for x

Mathematics

1 answer:

beks73 [17]2 years ago

8 0

Answer:

3x^2 + 18x + 27 = 0

<=> 3(x^2 + 6x + 9) = 0

<=> 3(x + 3)^2 = 0

<=> x = -3

Hope this helps!

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PLEASE HELP

Law Incorporation [45]

None of these are correct, however of the ones you listed, A would be the most likely to be correct. y is greater than 3... therefore making y a number greater than zero.

6 0

3 years ago

The senior class want to play a practical joke on the principal, who was a former college basketball star. They want to fill his

steposvetlana [31]

The number of basketball that will fill up the entire office is approximately 16,615.

Recall:

Volume of a spherical shape = $\frac{4}{3} \pi r^3$

Volume of a rectangular prism = $l \times w \times h$

Given:

Diameter of basketball = 9.5 in.

Radius of the ball = 1/2 of 9.5 = 4.75 in.

Radius of the ball in ft = 0.4 ft (12 inches = 1 ft)

Dimension of the office (rectangular prism) = 20 ft by 18 ft by 12 ft

First, find the volume of the basketball:

Volume of ball = $\frac{4}{3} \pi r^3 = \frac{4}{3} \times \pi \times 4.75^3\\$

Volume of basketball = $448.92 $ in^3$

Convert to $ft^3$

$1728 $ in.^3 = 1 $ ft^3$

Therefore,

Volume of basketball = $\frac{448.92}{1728} = 0.26 $ ft^3$

Find the volume of the office (rectangular prism):

Volume of the office = $20 \times 18 \times 12 = 4,320 $ ft^3$

Number of basket ball that will fill the office = Volume of office / volume of basketball

Thus:

Number of basket ball that will fill the office = $\frac{4,320}{0.26} = 16,615$

Therefore, it will take approximately 16,615 balls to fill up the entire office.

Learn more here:

brainly.com/question/16098833

6 0

2 years ago

1 2 3 4 Pls help meee!!!

Rus_ich [418]

Answer:x=2

Step-by-step explanation:

3 0

2 years ago

Use the greatest common factor to write the fraction in simplest form: 32/48

Illusion [34]

Answer:

Divide both by 8

Which gives you

4/6

That can be simplest form by 2

2/3 is your final answer!

8 0

2 years ago

the population of a town increases at a rate proportional to its population with an initial population of 1000. The corect initi

anyanavicka [17]

Answer:

This means that the correct initial value problem for the population p(t) as a function of time is is $P(0) = 1000$

Step-by-step explanation:

The population of a town increases at a rate proportional to its population:

This means that this situation is modeled by the following differential equation:

$\frac{dP}{dt} = kP$

In which k is the growth rate.

By separation of variables, the solution is given by:

$P(t) = P(0)e^{kt}$

In which P(0) is the initial population.

Initial population of 1000.

This means that the correct initial value problem for the population p(t) as a function of time is is $P(0) = 1000$

5 0

2 years ago