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3 years ago

Factor the expression completely

Mathematics

2 answers:

Kisachek [45]3 years ago

6 0

Answer:

2 ( 2x+3) (2x-3)

Step-by-step explanation:

8x^2-18Factor out the greatest common factor of 2

2( 4x^2 -9)

2 ( (2x)^2 - 3^2)

What is inside the parentheses is the difference of squares

a^2 - b^2 = (a+b)(a-b)

2 ( 2x+3) (2x-3)

LekaFEV [45]3 years ago

6 0

Answer:

B. 2( 2 x + 2 ) ( 2x - 3 )

Step-by-step explanation:

8 x² - 18

2 ( 4 x ² - 9 )

2 ( ( 2x ) ² - ( 3 )²)

2 ( 2 x + 3 ) ( 2x - 3 )

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How many positive integers n satisfy the following condition: (130n)^50 > n^100 >2^200

kenny6666 [7]

Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

50 points! I understand A. and B. but I would really appreciate help with C.

FromTheMoon [43]

Answer:

$51.72\text{ cells per hour}$

Step-by-step explanation:

So, the function, P(t), represents the number of cells after t hours.

This means that the derivative, P'(t), represents the instantaneous rate of change (in cells per hour) at a certain point t.

So, we are given that the quadratic curve of the trend is the function:

$P(t)=6.10t^2-9.28t+16.43$

To find the instanteous rate of growth at t=5 hours, we must first differentiate the function. So, differentiate with respect to t:

$\frac{d}{dt}[P(t)]=\frac{d}{dt}[6.10t^2-9.28t+16.43]$

Expand:

$P'(t)=\frac{d}{dt}[6.10t^2]+\frac{d}{dt}[-9.28t]+\frac{d}{dt}[16.43]$

Move the constant to the front using the constant multiple rule. The derivative of a constant is 0. So:

$P'(t)=6.10\frac{d}{dt}[t^2]-9.28\frac{d}{dt}[t]$

Differentiate. Use the power rule:

$P'(t)=6.10(2t)-9.28(1)$

Simplify:

$P'(t)=12.20t-9.28$

So, to find the instantaneous rate of growth at t=5, substitute 5 into our differentiated function:

$P'(5)=12.20(5)-9.28$

Multiply:

$P'(5)=61-9.28$

Subtract:

$P'(5)=51.72$

This tells us that at exactly t=5, the rate of growth is 51.72 cells per hour.

And we're done!

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3 years ago

DBZ 1. 2. 3. $90 9000!!!!

Anna007 [38]

Answer:

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Step-by-step explanation:

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3 years ago

A sporting goods store charges $30 for 12 cans of tennis balls and $45 for two boxes of golf balls. A coach orders100 cans of te

aliya0001 [1]

362.50 for tennis and golf balls.
To find the answer divide the dollar amount by how many cans or boxes each cost then multiply that answer by the total amount purchased.
Golf balls
45/2=22.50 each box
22.5*5=112.50 total
Tennis balls
30/12=2.50 each can
2.50*100 = 250.00
add the dollar amounts together
112.50+250.00 =362.50

3 0

3 years ago

What is the value of the function at x=−2?

Elza [17]

The value of the function is the Y value where the line crosses the given X value.

When X is at -2, the line is on Y = 3

The answer would be y =3

3 0

3 years ago