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Jet001 [13]
1 year ago
6

Using the 4 train car strategy for factoring polynomials, what is the green common factor for the 1st two train cars and the gre

en common factor for the 3rd and 4th train car: . note: the answers are intermediary steps. do not enter the final step or factored form, but this question is asking what is the intermediate step as the answer.
2x^2 + 4x + 3xy + 6y

enter your answer in the boxes.
Mathematics
1 answer:
koban [17]1 year ago
7 0

The completely factored expression of 2x^2 + 4x + 3xy + 6y is (2x + 3y)(x + 2)

<h3>How to factor the polynomial?</h3>

The expression is given as:

2x^2 + 4x + 3xy + 6y

Group the expression into two

[2x^2 + 4x] + [3xy + 6y]

Factor out each group

2x(x + 2) + 3y(x + 2)

Factor out x + 2

(2x + 3y)(x + 2)

Hence, the completely factored expression of 2x^2 + 4x + 3xy + 6y is (2x + 3y)(x + 2)

Read more about factored expression at:

brainly.com/question/723406

#SPJ1

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natta225 [31]

Answers:

  • Mean = 69
  • Median = 69
  • Mode = {68, 70}

===============================================

Explanations:

To get the mean, you add up all of the values and then you divide by N, where N is the number of values in the list. In this case, you'll divide by N = 8.

Adding up all the values gets you 70+68+70+72+68+66+65+73 = 552. Dividing that over 8 then leads to the arithmetic mean of 552/8 = 69

-------

To find the median, you'll first sort the values from smallest to largest. You should have this set {65, 66, 68, 68, 70, 70, 72, 73} after sorting. Next, cross off the smallest and largest values to end up with this smaller set {66, 68, 68, 70, 70, 72}. We do this so we can locate the middle-most item.

Repeat the process of crossing off the smallest and largest items to get {68, 68, 70, 70}. Do so one more time and we get {68,70}.

The midpoint of those two values is (68+70)/2 = 138/2 = 69. The median is 69. The mean and median may not always be the same value.

--------

The mode is the most frequent value. In this case, we have 68 and 70 show up exactly twice for each unique value. This is the most compared to the other unique values that only show up exactly once.

It is possible to have more than one mode, as long those values are more frequent than the rest. We denote the mode as a set, so the mode is {68, 70}

8 0
2 years ago
What is the range of the function f(x) = 2x +4 when the domain is {-2, 0, 3}?
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<em>Look</em><em> </em><em>at</em><em> </em><em>the</em><em> </em><em>attached</em><em> </em><em>picture</em><em>.</em><em>.</em>

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This is a vertical parabola, because  (x-1)².
Vertex of the parabola (1,1).
So line symmetry is x=1.
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2 years ago
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3 years ago
Can somebody help me?
denis-greek [22]
Carol did not work 1/14 of the days.
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