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rewona [7]
2 years ago
12

How to solve using Substitution or Elimination? y=3x-1 y=2x+2

Mathematics
1 answer:
n200080 [17]2 years ago
4 0

By elimination:

y = 3x - 1

y = 2x + 2

Subtract the second equation from the first

0 = x - 1

y = 2x + 2

Subtract the first equation from the second

0 = x - 1

y = x + 3

Subtract the first equation from the second again

0 = x - 1

y =      4

Subtract x from both sides of the first equation

- x =  - 1

y =      4

Divide the first equation by (-1)    

x =  1

y =  4

<h3>So, the solution is  x = 1  and  y = 4   {or: (1, 4)}</h3>
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xeze [42]

Answer:

0.61596

Step-by-step explanation:

Given that:

λ = 5 (5 errors per page)

Poisson distribution formula :

P(x = x) = (λ^x * e^-λ) / x!

Probability that page does not need to be retyped means that error on page is less than or equal to 5

P(x ≤ 5) = p(x = 5) + p(x = 4) +... + p(x = 0)

The individual probabilities can be obtained using the formula above or the use of a calculator

P(x ≤ 5) = 0.17547 + 0.17547 + 0.14037 + 0.08422 + 0.03369 + 0.00674

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4 0
3 years ago
Find the coordinates of C' after a reflection across the line
iragen [17]
<h3>Answer:  (4,2)</h3>

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

Explanation:

C is at (0,0). Ignore the other points.

Reflecting over y = 1 lands the point on (0,2) because we move 1 unit up to arrive at the line of reflection, and then we keep going one more unit (same direction) to complete the full reflection transformation. I'll call this point P.

Then we reflect point P over the line x = 2 to arrive at the location Q = (4,2). Note how we moved 2 units to the right to get to the line of reflection, and then keep moving the same direction 2 more units, then we have applied the operation of "reflect over the line x = 2"

So we have started at C = (0,0), moved to P = (0,2) and then finally arrived at the destination Q = (4,2). This is the location of C' as well.

All of this is shown in the diagram below.

4 0
3 years ago
I need help with this
Fudgin [204]
You can’t solve this, not enough information
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3 years ago
Mr. Lewis designed a circular walkway in
NARA [144]

Answer:

The diameter is equal to the circumference divided by the number pi

Step-by-step explanation:

we know that

The circumference of the circular walkway is equal to

C=\pi D

where

D is the diameter

we have

D=6\ ft

substitute

C=\pi (6)

C=6\pi\ ft

so

Divide the diameter by the circumference

\frac{D}{C}=\frac{6}{6\pi}

\frac{D}{C}=\frac{1}{\pi}

D=\frac{C}{\pi}

The diameter is equal to the circumference divided by the number pi

8 0
3 years ago
Find all points on the curve y = cos x, 0 ≤ x ≤ 2π, where the tangent line is parallel to the line y = -x.
andre [41]

Answer:

90⁰

Step-by-step explanation:

y=cosx

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we know...

slope of tangent = y' or derivative of y

-sin x = -1

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7 0
2 years ago
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