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Nata [24]
3 years ago
10

Use linear combination method to solve this systemof equations. What is the value of x?

Mathematics
1 answer:
lys-0071 [83]3 years ago
7 0

Using the linear combination method, we can add 3x+7y=31 and -3x-2y=-1 together, which makes 5y=30.


Just divide both sides by 5, and your answer will be y = 6.



To solve for x, just substitute 6 in y in either equation and solve for x:


-3x-2(6)=-1\\ -3x-12=-1\\ -3x=11\\ x=-\frac{11}{3} =-3\frac{2}{3}



In short, the correct answer is B. -3 2/3

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Can someone plz help me with my geometry pleaseee
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Answer:

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A'= (5,3)

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S'= (-1,4)

Step-by-step explanation:

Add 6 to all x's and add 8 to all y's.

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Select all the equations where b= 11 is a solution.<br> Choose 2 answers:
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A plane can fly 11 miles per minute. The plane will fly 6 trips, and each trip is 500 miles. How many hours will the plane fly?
BabaBlast [244]

Answer:

4 hours 33 minutes

Step-by-step explanation:

multiply the distance of each trip by the amount of trips taken to find the total distance traveled:

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3 years ago
In ΔXYZ, ∠Y=90° and ∠X=24°. ∠ZWY=81° and XW=7.1. Find the length of WY to the nearest 10th.
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4 0
2 years ago
find the smallest number of terms of the AP "-54,-52.5,-51,-49.5" ....that must be taken for the sum of the terms to be positive
wel

The smallest number of terms of the AP that will make the sum of terms positive is 73.

Since we need to know the number for the sum of terms, we find the sum of terms of the AP

<h3>Sum of terms of an AP</h3>

The sum of terms of an AP is given by S = n/2[2a + (n - 1)d] where

  • n = number of terms,
  • a = first term and
  • d = common difference

Since we have the AP "-54,-52.5,-51,-49.5" ....", the first term, a = -54 and the second term, a₂ = -52.5.

The common difference, d = a₂ - a

= -52.5 - (-54)

= -52.5 + 54

= 1.5

<h3>Number of terms for the Sum of terms to be positive</h3>

Since we require the sum of terms , S to be positive for a given number of terms, n.

So, S ≥ 0

n/2[2a + (n - 1)d] ≥ 0

So, substituting the values of the variables into the equation, we have

n/2[2(-54) + (n - 1) × 1.5] ≥ 0

n/2[-108 + 1.5n - 1.5] ≥ 0

n/2[1.5n - 109.5] ≥ 0

n[1.5n - 109.5] ≥ 0

So, n ≥ 0 or 1.5n - 109.5 ≥ 0

n ≥ 0 or 1.5n ≥ 109.5

n ≥ 0 or n ≥ 109.5/1.5

n ≥ 0 or n ≥ 73

Since n > 0, the minimum value of n is 73.

So, the smallest number of terms of the AP that will make the sum of terms positive is 73.

Learn more about sum of terms of an AP here:

brainly.com/question/24579279

#SPJ1

4 0
2 years ago
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