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AVprozaik [17]
3 years ago
13

Factor x^2a^2 + 3xa^2 + 2a^2. Show your work.

Mathematics
1 answer:
kotegsom [21]3 years ago
4 0
x^2a^2 + 3xa^2 + 2a^2= \\ a^2(x^2+3x+2)= \\a^2(x^2+2x +x+2)= \\a^2(x(x+2)+(x+2))= \\a^2(x+2)(x+1)
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What is the third quartile of this data set 20,21,24,25,28,29,35,36,37,43,44
SashulF [63]

Answer:

37

Step-by-step explanation:

The data set is in ascending order, thus the median is the middle value of the data set.

median = 29

The third quartile is the middle value of the data to the right of the median

Q_{3} = 37

6 0
4 years ago
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What are the truck ID’s of trucks that have carried small shipments. Small shipments are defined as those that weigh less than 8
Ivanshal [37]

Table for the question is attached in the picture below :

Answer:

SELECT distinct(TRUCK_ID), WEIGHT from SHIPMENT where WEIGHT < 800 ;

Step-by-step explanation:

The Structured query language (SQL) defined above, returns only the TRUCK_ID and Weight column from the shipment table as they are the only two columns listed after the select keyword. The condition is added using the WHERE keyword on the weight table, this filters the result returned to include only rows where the weight value is less than 800. The distinct keyword used alongside the TRUCK_ID column ensures that a certian TRUCK_ID value isn't returned more than once (Hence, it is used to avoid duplicates).

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3 years ago
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CaHeK987 [17]

Answer:

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Step-by-step explanation:

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3 years ago
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Rudiy27
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3 years ago
Compare the function with the parent function. Without graphing, what are the vertex, axis of symmetry, and transformation of th
Alex73 [517]

Answer: (1/3,-7); x=1/3; translated to the right 1/3 unit and down 7 units

Step-by-step explanation:

The parent function is:

g(x) = IxI

And we have:

f(x) = I6x - 2I - 7

We canr rewrite f to get:

f(x) = 6*Ix - 1/3I - 7

Then, now let's define some transformations:

If we start with g(x), a translation of N units to the right is:

f(x) = g(x - N)

if we start with g(x), a translation of N units up is:

f(x) = g(x) + N

A translation down would be:

f(x) = g(x) - N

And a vertical dilation of scale factor A is written as:

f(x) = A*g(x)

Then in this case we have:

A translation to the right of 1/3 units.

A dilation of scale factor 6.

A translation down of 7 units.

And the axis of symmetry will be when the absolute value part is equal to zero, or when

6*Ix - 1/3I = 0

And that is when x = 1/3.

Then the correct option is:

(1/3,-7); x=1/3; translated to the right 1/3 unit and down 7 units

6 0
3 years ago
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