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3 years ago

Factor completely 4x4 − 24x3 + 36x2.

Mathematics

1 answer:

ipn [44]3 years ago

6 0

The previous answer from another person got deleted, so I'm here to put it back in my own words.

(Edit: The answer is A)

First of all, you can take 4 out of each, so simplify everything by 4.

4(x^4 - 6x^3 + 9x^2)

Next, you can see that you're able to take out x^2

4x^2(x^2 - 6x + 9)

You can see that both x^2 and 9 are perfect squares, meaning you can crunch them together like this

(x+3)^2 or (x-3)^2

Of course, only one would work, and as fate has it, (x-3)^ produces x^2 - 6x + 9

This would turn the now factored equation into :

4x^2(x-3)^2 or 4x^2(x-3)(x-3), this means the answer is A

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Find the product.<br><br> (n + 4)2

Schach [20]

Answer:

n^2+8n+16

Step-by-step explanation:

(n+4)^2

=(n+4) (n+4)

= n^2+4n+4n+16

=n^2+8n+16

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3 years ago

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Dinesh has been keeping track of his time at work over the past month. Answer the questions below using the information provided

Gala2k [10]

The total hours that Dinesh worked each week over the past month are as follows:

<h3>Dinesh's Time in Hours</h3>

Total Hours

Worked

Week 1 37.500

Week 2 36.071

Week 3 35.999

Week 4 34.570

Total 144.140

<h3>Data and Calculations:</h3><h3>Dinesh's Time in Hours</h3>

Meetings Administration Project X - Project X- Total Hours

Design Deliverables Worked

Week 1 7¹/₄ 4¹/₄ 23¹/₃ 2²/₃

Week 2 4²/₃ 2⁴/₇ 16¹/₃ 12¹/₂

Week 3 3.50 3.83 9.33 19.33

Week 4 6.17 3.40 4.20 20.80

<h3>Conversion into Dinesh's Time in Hours (decimals)</h3>

Meetings Administration Project X - Project X- Total Hours

Design Deliverables Worked

Week 1 7.250 4.250 23.333 2.667 37.500

Week 2 4.667 2.571 16.333 12.500 36.071

Week 3 3.500 3.833 9.333 19.333 35.999

Week 4 6.170 3.400 4.200 20.800 34.570

Total 21.587 14.054 53.199 55.300 144.140

Thus, Dinesh's total hours worked for the past month was <u>144.140 hours</u>.

Learn more about calculating hours worked at brainly.com/question/17054097

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2 years ago

Find the slope of the line that passes through the points E(-1, 3) and F(-2, -3)

Nesterboy [21]

Answer=6

Formula for slope:

$slope= \frac{y _{2}-y _{1} }{x _{2}-x _{1} }= \frac{-3-3}{-2-(-1)} = \frac{-6}{-1}=6$

slope=6

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3 years ago

is vector v with an initial point of (-5,22) and a terminal point of (20,60) equal to vector u with an intintal point of (50,120

marta [7]

Answer:

Yes, vectors u and v are equal.

Step-by-step explanation:

We need to check whether vectors u and v are equal or not.

If the initial point is $(x_1,y_1)$ and terminal point is $(x_2,y_2)$ , then the vector is

$Vector=(x_2-x_1)i+(y_2-y_1)j$

Vector v with an initial point of (-5,22) and a terminal point of (20,60).

$\overrightarrow v=(20-(-5))i+(60-22)j$

$\overrightarrow v=25i+38j$ ..... (1)

Vector u with an initial point of (50,120) and a terminal point of (75,158).

$\overrightarrow u=(75-50)i+(158-120)j$

$\overrightarrow u=25i+38j$ .... (2)

From (1) and (2) we get

$\overrightarrow u=\overrightarrow v$

Therefore, vectors u and v are equal.

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3 years ago

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kari74 [83]

Answer:

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