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Llana [10]
2 years ago
14

Write the prime factorization of 138

Mathematics
1 answer:
Natali [406]2 years ago
7 0

Answer:

138 ÷ 2 = 69

69 ÷ 2 = 34.5

69 ÷ 3 = 23

23 ÷ 3 = 7.67

23 ÷ 5 = 4.6

23 ÷ 7 = 3.2857

23 ÷ 11 = 2.0909

-----------------------

23 ÷ 23 = 1

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Given that (1, 0, 1) is a solution to a system of three linear equations, which of the following is true about the system?
Anna35 [415]
<h3>Answer:  Choice C) </h3><h3>The system can only be independent and consistent</h3>

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

Explanation:

Let's go through the answer choices

  • A) This isn't possible. Either a system is consistent or inconsistent. It cannot be both at the same time. The term "inconsistent" literally means "not consistent". It's like saying a cup is empty and full at the same time. We can rule out choice A.
  • B) This is similar to choice A and we cannot have a system be both independent and dependent. Either a system is independent or dependent, but not both. Independence means that the two equations are not tied together, while dependent equations are some multiple of each other. We can rule out choice B.
  • C) We'll get back to this later
  • D) The independence/dependence status is unknown without the actual equations present. However, we know 100% that this system is not inconsistent. This is because the system has at least one solution. Inconsistent systems do not have any solutions at all (eg: parallel lines that never cross). We can rule out choice D because of this.

Going back to choice C, again we don't have enough info to determine if the system is independent or dependent, but we at least know it's consistent. Consistent systems have one or more solutions. So part of choice C can be confirmed. It being the only thing left means that it has to be the final answer.

If it were me as the teacher, I'd cross out the "independent" part of choice C and simply say the system is consistent.

6 0
3 years ago
Read 2 more answers
The sum of 3 consecutive numbers is 21. write and solve an equation that represents this situation. show your work​
I am Lyosha [343]

Answer:

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Step-by-step explanation:

hxashbxjmbjzmjxbjsb

7 0
3 years ago
Find the volume of a cylinder with height 12 cm and diameter 7 cm.
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It would be 461.81cm^3
8 0
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If the mean of a symmetric distribution is 170 what is the median
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I think the answer your after is 150.
5 0
3 years ago
Read 2 more answers
Question 1
Arada [10]
We have that

<span>question 1
Add or subtract. 
4m2 − 10m3 − 3m2 + 20m3
=(4m2-3m2)+(20m3-10m3)
=m2+10m3

the answer is the option
</span><span>B: m2 + 10m3

</span><span>Question 2: 
Subtract. (9a3 + 6a2 − a) − (a3 + 6a − 3)
=(9a3-a3)+(6a2)+(-a-6a)+(-3)
=8a3+6a2-7a-3

the answer is the option
</span><span>B: 8a3 + 6a2 − 7a + 3 

</span><span>Question 3: 
A company distributes its product by train and by truck. The cost of distributing by train can be modeled as −0.06x2 + 35x − 135, and the cost of distributing by truck can be modeled as −0.03x2 + 29x − 165, where x is the number of tons of product distributed. Write a polynomial that represents the difference between the cost of distributing by train and the cost of distributing by truck. 


we have that
[</span>the cost of distributing by train]-[the cost of distributing by truck]
=[−0.06x2 + 35x − 135]-[−0.03x2 + 29x − 165]
<span>=(-0.06x2+0.03x2)+(35x-29x)+(-135+165)
=-0.03x2+6x+30

the answer is the option
</span><span>C: −0.03x2 + 6x + 30
</span><span>

</span>
7 0
3 years ago
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