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SVEN [57.7K]
3 years ago
7

Given that (1, 0, 1) is a solution to a system of three linear equations, which of the following is true about the system?

Mathematics
2 answers:
Anna35 [415]3 years ago
6 0
<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.

IgorLugansk [536]3 years ago
5 0

Answer:

Above that (1, 0, 1) is a solution to a system of three linear equations, <u>The system can only be independent and consistent.</u> is true about the system.

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Last Wednesday, students could choose ham or turkey sandwiches for lunch. The cafeteria made 50 sandwiches in all, 5 of which we
PSYCHO15rus [73]

Answer:

90%

Step-by-step explanation:

50%×2 100%

5%×2 10%

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5 0
3 years ago
Nicole sold 1 cherry pie and 9 pumpkin pies for $60. Lisa sold 11 cheery pies and 4 pumpkin pies for $90. what's the cost each o
zubka84 [21]
X= cost per cherry pie
y= cost per pumpkin pie

NICOLE
1x + 9y= $60

LISA
11x + 4y= $90


STEP 1
multiply Nicole's equation by -11

-11(1x + 9y)= -11($60)
multiply -11 by all terms

(-11 * x) + (-11 * 9y)= (-11 * 60)

-11x - 99y= -660


STEP 2
add Nicole's new equation from step 1 to Lisa's equation to solve for y (using the elimination method)

-11x - 99y= -660
11x + 4y= 90
the x terms "cancel out"

-95y= -570
divide both sides by -95

y= $6 per pumpkin pie


STEP 3
substitute y value into either original equation to solve for x

x + 9y= $60

x + 9(6)= 60

x + 54= 60
subtract 54 from both sides

x= $6 per cherry pie


CHECK
11x + 4y= $90
11(6) + 4(6)= 90
66 + 24= 90
90= 90


ANSWER: Each cherry pie costs $6 and each pumpkin pie costs $6.

Hope this helps! :)
3 0
3 years ago
What kind of triangle is this?
Sindrei [870]
Right angle
Te reason being is that it has a 90° corner.

Hoped this helped
3 0
3 years ago
Read 2 more answers
A sum of money invested at 8% per annum for simple interests amounts to $12122 in 2 years.What ill it amounts to in 2 years 8 mo
Jobisdone [24]

Answer:

  $12,958

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The total amount of the account, principal plus interest, is given by ...

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Then the principal amount is ...

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When that same amount is invested using a different rate and time period, it becomes ...

  A = 10,450(1 + .09×(2 2/3)) = 10,450×1.24 = 12,958

It will amount to $12,958 in 2 years 8 months at 9%.

3 0
3 years ago
Which equation does not represent a linear function of x?
Natasha_Volkova [10]
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Meanwhile any function whose degree (highest exponent of x) is one is a linear function. It will have be a straight line.
5 0
3 years ago
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