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3 years ago

Which of the following is a factor of 3x3 + 18x2 + 27x?

Mathematics

2 answers:

nordsb [41]3 years ago

5 0

I hope this helps you

3x (x^2+6x+9)

3x (x+3). (x+3)

3x. (x+3)^2

lorasvet [3.4K]3 years ago

3 0

So based on the given expression above, that factor of 3x3 + 18x2 + 27x would be x + 3. So the answer is the third option. So how did we get x + 3. Firstly, we factor the given expression by 3x. So, it would look like this.
3x (x+3)(x+3). Hope this is the answer that you are looking for.

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Solve the system y=3x^2+3x-5 2x-y=3

Elenna [48]

Y=3x^2+3x-5. and 2x-y=3
x=-.8 so y=4.6

8 0

3 years ago

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A grocery, a cafe, a boutique, and a dance studio have the addresses 500 Elm, 524 Elm, 538 Elm, and 544 Elm, but not necessarily

rewona [7]

Answer:

500 Elm: Cafe

524 Elm: Grocery

538 Elm: Boutique

544 Elm: Dance studio

Step-by-step explanation:

We know that the dance studio has the highest address, so 544.

For the others let's examine the possibilities.

The boutique is between the cafe and the studio, that means the following are possible:

Boutique can be at either 524 or 538, cannot be at 500 (since cafe has to be on the its left.

Cafe can be 500 or 524, cannot be 538 since boutique has to be between cafe and studio.

The grocery is between the cafe and boutique. Meaning the grocery cannot be 500 nor 538, since it has to be in the middle of the 3 remaining businesses. So, grocery is at 524.

Meaning the Cage is at 500 and the boutique is at 538.

3 0

3 years ago

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The 2 ft side length of the scale drawing corresponds to a side length of 120 feet for the actual skate park. What is the scale

SOVA2 [1]

Answer:

The scale factor is $\frac{1}{60}$

Step-by-step explanation:

we know that

The scale factor is equal to the ratio between the side length of the scale drawing to the corresponding side length in the actual

$\frac{2}{120}=\frac{1}{60}$

5 0

3 years ago

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Select the two answer choices that apply.

Lemur [1.5K]

Answer:

its a

Step-by-step explanation:

6 0

2 years ago

A flying cannonball’s height is described by formula y=−16t^2+300t. Find the highest point of its trajectory. In how many second

Yakvenalex [24]

Highest point = 1406.25 Number of seconds = 9.375 We've been given the quadratic equation y = -16t^2 + 300t which describes a parabola. Since a parabola is a symmetric curve, the highest value will have a t value midway between its roots. So using the quadratic formula with A = -16, B = 300, C = 0. We get the roots of t = 0, and t = 18.75. The midpoint will be (0 + 18.75)/2 = 9.375 So let's calculate the height at t = 9.375. y = -16t^2 + 300t y = -16(9.375)^2 + 300(9.375) y = -16(87.890625) + 300(9.375) y = -1406.25 + 2812.5 y = 1406.25 So the highest point will be 1406.25 after 9.375 seconds. Let's verify that. I'll use the value of (9.375 + e) for the time and substitute that into the height equation and see what I get.' y = -16t^2 + 300t y = -16(9.375 + e)^2 + 300(9.375 + e) y = -16(87.890625 + 18.75e + e^2) + 300(9.375 + e) y = -1406.25 - 300e - 16e^2 + 2812.5 + 300e y = 1406.25 - 16e^2 Notice that the only term with e is -16e^2. Any non-zero value for e will cause that term to be negative and reduce the total value of the equation. Therefore any time value other than 9.375 will result in a lower height of the cannon ball. So 9.375 is the correct time and 1406.25 is the correct height.

4 0

3 years ago