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sasho [114]
3 years ago
11

Enter your answer and show all the steps that you use to solve this problem in the space provided. Simplify ( 6 x − 2 ) 2 ( 0 .

5 x ) 4 . Show your work.
Mathematics
1 answer:
den301095 [7]3 years ago
8 0

Answer:

\frac{9x^6}{4}-\frac{3x^5}{2}+\frac{x^4}{4}

Step-by-step explanation:

We want to simplify:

(6x-2)^2(0.5x)^4

We expand to get:

(36x^2-24x+4)*\frac{x^4}{16}

We expand further to get:

\frac{9x^6}{4}-\frac{3x^5}{2}+\frac{x^4}{4}

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Simplify. -4x^2-5(x+3)+x^2​
Arte-miy333 [17]
-4x^2-5(x+3)+x^2 :

-4x^2-5x-15+x^2

-3x^2- 5x -15
6 0
3 years ago
Find an equation of a square root curve of the form
Vlad [161]

Answer:

  y = √(5x+34)

Step-by-step explanation:

The regression formula that matches a square root function to these points can be worked out by a suitable calculator. The attachments shows the points are matched exactly by the function ...

  y = √(5x+34)

__

If you would like to work this by hand, you can put the (x, y) point values into the proposed equation and see what the coefficients need to be:

  y = √(ax +b)

  7 = √(3a +b)   ⇒   49 = 3a +b

  8 = √(6a +b)   ⇒   64 = 6a +b

Subtracting the first equation from the second, gives ...

  (64) -(49) = (6a +b) -(3a +b)

  15 = 3a   ⇒   a = 5

  49 = 3(5) +b   ⇒   b = 34

3 0
3 years ago
Matilda and Lorraine work in the mail room of a large company sorting letters. Matilda has already sorted 50 letters and continu
jolli1 [7]
For the second question the answer should be 50×6=300+50=350 letters for Matilda. And for Lorraine It would be 40×6=240+80=320
3 0
3 years ago
Read 2 more answers
A six feet-tall person is standing next to a flag pole.The person is casting a shadow 1 1/2 feet in length,while the flagpoleis
Vlad1618 [11]

Answer:

20 feet

Step-by-step explanation:

Consider the given pictorial representation below,

The Height of the Pole =|AB|

The Height of the Person =|DE|

Shadow cast by the Pole =|AC|

Shadow cast by the Person =|EC|

Triangles ABC and DEC are similar triangles therefore,

\frac{|DE|}{|AB|} =\frac{|EC|}{|AC|}

\frac{6}{x} =\frac{1.5}{5}

Cross multiplying

x X 1.5 = 6 X 5

x=30/1.5 =20 feet

Height of the flag pole = 20 feet

4 0
3 years ago
Find the function value f(x^2)=|x|+4
grigory [225]

Answer:

Step-by-step explanation:

f(x)=\sqrt{x}+4

let s double check

f(x^2)=\sqrt{x^2}+4

and we know that \sqrt{x^2} = |x|

so f(x^2)=|x|+4

so the solution is

\boxed{f(x)=\sqrt{x}+4}

8 0
4 years ago
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