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xeze [42]
3 years ago
8

Consider the following system of equations:

Mathematics
2 answers:
Komok [63]3 years ago
4 0
Y = -x + 2
y = 3x + 1

  -x + 2 = 3x + 1
+ x         + x
          2 = 4x + 1
        - 1         - 1
          1 = 4x
          4     4
         ¹/₄ = x

y = 3x + 1
y = 3(¹/₄) + 1
y = ³/₄ + 1
y = 1³/₄
(x, y) = (¹/₄, 1³/₄)

The answer is A.
Paladinen [302]3 years ago
4 0

Answer:    

The correct option is A. Line y = −x + 2 intersects line y = 3x + 1.

Step-by-step explanation:

The first equation is given to be :

y = -x + 2

x       0         2

y       2         0

The second equation is :

y = 3x + 1

x       0        -1/3

y       1         0

Now, The graphs of both the equation are attached below :

So, By seeing the graph, We can observe :

  • Line y = −x + 2 intersects line y = 3x + 1.
  • Lines y = −x + 2 and y = 3x + 1 intersect the x-axis.
  • Lines y = −x + 2 and y = 3x + 1 intersect the y-axis

But the description that best describes the solution to the system of equations is : Line y = −x + 2 intersects line y = 3x + 1.

Hence, The correct option is A. Line y = −x + 2 intersects line y = 3x + 1.

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spin [16.1K]

Answer:

Between 12.614 years and 16.386 years

Step-by-step explanation:

Given that:

Mean age (μ) = 14.5 years, standard deviation (σ) = 4.6 years, number o sample (n) and the confidence interval (c) = 90% = 0,9

α = 1 -c = 1 -0.9 = 0.1

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The z score of \alpha /2 is the same as the z score of 0.45 (0.5 - 0.05). This can be gotten from the probability distribution table. Therefore:

z_{0.05}=1.64

The margin of error (e) = z_{0.05}\frac{\sigma}{\sqrt{n} } = 1.64*\frac{4.6}{\sqrt{16} }=1.886

The interval = μ ± e = 14.5 ± 1.886 = (12.614 ,16.386)

4 0
3 years ago
What is the distance, rounded to the nearest tenth, between the points (-5,3) and (1,-1)? Enter the answer in the box.
Vadim26 [7]

Answer:

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Step-by-step explanation:

3 0
3 years ago
Lauren bikes 1 1/3 miles in 1/1/0 hour. What is her rate of speed in miles per hour?
Amanda [17]

speed = distance / time

1 1/3 = 4/3

so

speed = (4/3) / (1/10)

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Hope this helps!

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A restaurant bill comes to $28.35. Determine the total cost if the tax is 6.25% and a 20% tip is left on the amount before tax
Soloha48 [4]
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Amount of tips paid is $5.67
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8 0
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Solve the proportion for the variable given.
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I think the answer is c sorry if I’m wrong
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