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3 years ago

Factor Completely : 3x^3 -12x

Mathematics

1 answer:

Thepotemich [5.8K]3 years ago

7 0

The answer you're looking for will be,
ANSWER: 3x(x + 2)(x - 2)

You're welcome.

STEPS:
#1. Factor out common term 3x.

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The cost (in dollars) of a custom made sweatshirt is represented by 3.5n +29.99, where n is the number of different colors in th

juin [17]

Answer:

$52.5n+449.85$

Step-by-step explanation:

The cost is given for 1 sweatshirt. To find the cost of 15 sweatshirts, we need to multiply the expression by 15. Let's do this:

$15(3.5n+29.99)\\=15(3.5n+29.99)\\=15(3.5n)+15(29.99)\\=52.5n+449.85$

This is the expression that represents the cost of 15 sweatshirts.

8 0

3 years ago

Please help me?! I need help!?

Olin [163]

Answer:

Area = 6.25 $\pi$ ft^2

Step-by-step explanation:

Area = $\pi \\$ $r^{2}$

The diameter is 5 feet. That makes the radius 2.5 feet

Area = $\pi \\$ $r^{2}$

Area = $\pi \\$ $2.5^{2}$

Area = 6.25 $\pi$ ft^2

6 0

2 years ago

Find all the zeroes of the polynomial function f(x)=x^3-5x^2+6x-30 using synthetic division.

WITCHER [35]

Write the coeeficientes of the polynomial in order:

| 1 - 5 6 - 30
|
|
|
------------------------

After some trials you probe with 5

 | 1 - 5 6 - 30
 |
 |
5 | 5 0 30
-----------------------------
 1 0 6 0 <---- residue

Given that the residue is 0, 5 is a root.

The quotient is x^2 + 6 = 0, which does not have a real root.

Therefore, 5 is the only root. You can prove it by solving the polynomial x^2 + 6 = 0.

3 0

3 years ago

Graph the six terms of a finite series where a1 = −3 and r = 1.5.

s344n2d4d5 [400]

We are given the first term and the common ratio, this means they belong to a geometric series.

For the given series:

$a_{1}=-3 \\ 
r=1.5$

Each term of the geometric series is obtained by multiplying the previous term by common ratio.

So the next terms will be:

-4.5, -6.75, -10.125, -15.1875, -22.78125

The general formula for the G.P would be:

$a_{n}=-3(1.5)^{n-1}$

On plotting the series, the result will be like this:

6 0

4 years ago

Read 2 more answers

Juan takes 15 hours to do a job that his father can do in 6 hours. If juan works for 4.5 hours before his father joins him, how

ad-work [718]

Work it exactly like the other one with Wilda and Karla.

Juan takes 15 hours to do a job ... he does 1/15 of it in an hour.
His father can do it in 6 hours ... he does 1/6 of it in an hour.

Juan works alone for 4.5 hours. In that time, he does 4.5/15 = 0.3
of the job. When his father joins him, there's only 0.7 of it to finish.

Working together, they do (1/15 + 1/6) = (2/30 + 5/30) = 7/30 of the job
each hour.

How many times do they have to do 7/30 of the job in order to finish
the 7/10 of it that remains ? That will be the number of hours they need.

(7/10) / (7/30) = 7/10 x 30/7 = 3 hours.

Then they can knock off while it's still daylight, and go for a swim.

3 0

3 years ago