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telo118 [61]
3 years ago
11

Which expression is prime? A) x2 - 6x + 9 B) x2 + 16x + 64 C) 4x2 + 20x + 25 D) 9x2 - 30x - 25

Mathematics
2 answers:
dlinn [17]3 years ago
4 0
D is a prime polynomial. 

The best way to figure this out is by attempting to factor them all. Each of them factors into perfect squares except for D. 

A)
x^2 - 6x + 9 = (x - 3)^2

B) 
x^2 + 16x + 64 = (x + 8)^2

C)
4x^2 + 20x + 25 = (2x + 5)^2

D we can also tell won't have a perfect square like that because it ends in a negative number. No number multiplied by itself is negative. 
adoni [48]3 years ago
4 0

Answer:

The answer is 9x^{2}  - 30x - 25.

Step-by-step explanation:

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Tom's toy box is shown below. The toy box is shaped like a rectangular prism. It has 5 wooden faces and is open on the top. What
mihalych1998 [28]

Answer:

1100 square inches

Step-by-step explanation:

The faces are all rectangles (area = length x width)

Area of bottom:  20 x 10 = 200

Area of front: 20 x 15 = 300

Area of back (same as front) = 300

Area of right side: 10 x 15 = 150

Area of left side (same as right side) = 150

Total of all the sides: 1100

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2 years ago
While his bank account was -$38, Gavin made 6 withdrawals of $5.
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If you want to find the total in the bank account after the 6 withdrawals it would be a -$68.
4 0
3 years ago
Y-4x=3. 2x-3y=21 can someone help
mars1129 [50]

Y-4X =3 ; 2x-3y=21

Y= 3+ 4x

2x -3( 3+4x)= 21

2x- 9- 12x= 21

-10x -9= 21

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-10x = 30

X= 30/-10= -3

Y= 3+4x = 3+ 4* (-3)= 3-12= -9

3 0
3 years ago
A sample of small bottles and their contents has the following weights (in grams): 4, 2, 5, 4, 5, 2, and 6. What is the sample v
Inessa05 [86]

Answer:

What is the sample variance of bottle weight 2.33

Step-by-step explanation:

First find the mean. The mean of the bottle weight is obtained by taking the ratio of the sum of ages and total number of ages.

Mean = (4+2+5+4+5+2+6) / 7

          = 28 / 7

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Sample Variance = \frac{\left[\begin{array}{ccc}(4-4)^{2} +(2-4)^{2} +\\(5-4)^{2} + (4-4)^{2} +\\(5-4)^{2} + (2-4)^{2} +\\(6-4)^{2}\end{array}\right]}{7-1}

                             =\frac{0+4+1+0+1+4+4}{6}

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3 0
3 years ago
If you lend $500.00 to your brother, what is your opportunity cost?
Shtirlitz [24]
<span>Opportunity cost is the value of the next best alternative when you make a decision; it's what you give up. Understanding opportunity cost allows you to make decisions, knowing both what you are getting and what you are giving up. in the above case of lending of $500.00 to your brothers is What you want most costing $500.</span>
8 0
3 years ago
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