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noname [10]
3 years ago
15

What is the simplified form of this expression? `sqrt(8x^3 + 24x^2 + 18x)` A. ±(2x + 3)`sqrt(2x)` B. ±(4x + 6) `sqrt(2x)` C. ±(2

x + 3)`sqrt(x)` D. ±(4x + 6)`sqrt(x)`
Mathematics
1 answer:
Nina [5.8K]3 years ago
5 0

Answer: B

`sqrt(8x^3 + 24x^2 + 18x)` = `sqrt(8x (x + 3/2))` = `sqrt(2x (4x + 6))` = ±(4x + 6) `sqrt(2x)`

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Learning
fiasKO [112]

Answer:

Neither

Step-by-step explanation:

Arithmetic Sequence has a common difference. You can add a "unique" number to each term to get the next term. Example:

2, 4, 6, 8, ...

Here you add 2 to get next term.

Also,

10, 20, 30, ...

Here you add 10 to get next term.

Geometric Sequence has a common ratio. You can multiply a "unique" number to each term to get the next term. Example:

2, 4, 8, 16, ...

Here you multiply each term by 2 to get next term.

Also,

5, 25, 125, ...

Here, you multiply each term by 5 to get next term.

Now, lets look at the sequence given, it is:

169, 196, 225, 256, ...

Lets check for common difference.

You add 27 to get 2nd term.

You add 29 to get 3rd term.

You add 31 to get 4th term.

So, NOT Arithmetic Sequence.

Also, if we divide next term by previous, we don't get a "unique" common ratio.

So, NOT Geometric Sequence.

So, we conclude, the sequence is NEITHER arithmetic nor geometric.

7 0
3 years ago
An artist can sell 20 copies of a painting at $100 each, but for each additional copy he makes, the value of each painting will
dimulka [17.4K]

Answer:

40 more paintings in order to maximize sales making a total of 60 paintings

Step-by-step explanation:

Let x= no.of copies above 20

Total Sales(x) = (number of copies)(price per copy)

Sales (x)= (20 +x)(100 –x)

Open bracket

=1200-20x+100x-x^2

=1200+80x-x^2

Derivative of the sales

80-2x=0

80=2x

Divide both sides by 2

40=x

Because Sales(x)= –2, this is maximal by the second derivative test

The artist should make 40 more paintings in order to maximize sales making a total of 60 paintings.

4 0
4 years ago
Select the correct location on the image selected the figure that is congruent
zubka84 [21]

Answer:

C

Step-by-step explanation:

The figure congruent is the one in Option C.

7 0
2 years ago
Find f(7) when f(x)=−5x+2.
VARVARA [1.3K]

Answer:

-33

Step-by-step explanation:

Plug it in;

f(7)= -5(7)+2

-5(7)= -35+2= -33

6 0
3 years ago
3 ice cream cones cost $8.25. At this rate, how much do 2 ice cream cones cost? *
Pie

Answer:

$2.75

Step-by-step explanation:

The cost of 2 icecream cones is $5.50. Given data: Price of 3 icecream cones is $8.25. 1 icecream come = $(8.25÷3) =$ 2.75.

7 0
3 years ago
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