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lubasha [3.4K]
3 years ago
8

Solve the systems of equations using any method you choose

Mathematics
1 answer:
alex41 [277]3 years ago
4 0

Answer:

  (x, y, z) = (3, -1, -3)

Step-by-step explanation:

The attached graph shows a solution that involves solving the system of equations that results from substituting for z. The second equation is used to write an expression for z that is substituted into the first and third equations.

One of the things we observe in this solution is that substituting into the first equation effectively eliminates x and z, so we learn immediately that y=-1.

That is, subtracting the second equation from the first gives ...

  (2x +8y +z) -(2x +y +z) = (-5) -(2)

  7y = -7

  y = -1

__

The solution by graphing is (x, y, z) = (3, -1, -3).

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Emma is saving to buy av video game console that costs$249. She already saved$60 and b plans to save$22 per week. After how many
Bess [88]
Let w represent the number of weeks Emma saves her money. Then we want to find w for
  60 +22w ≥ 249
  22w ≥ 189 . . . . . . . . . subtract 60
  w ≥ 189/22 ≈ 8.591

Emma will have enough money after 9 weeks.
7 0
4 years ago
Read 2 more answers
The rate at which customers are served at an airport check-in counter is a Poisson process with a rate of 8.1 per hour. The prob
just olya [345]

Answer:

Value of a is 0.667                      

Step-by-step explanation:

We are given the following in the question:

The rate of customer at an airport follows a Poisson distribution with

\lambda = 8.1

The normal approximation of Poisson distribution can be done in the following manner

\mu = \lambda = 8.1\\\sigma^2 = \lambda = 8.1\\\sigma = \sqrt{8.1} = 2.85

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of a such that

P(X_p > 50)=P(Z > a)

More than 50 customers per 5 hours means more than 10 customer per hour.

Thus, we can write

P( x > 10) = P( z > \displaystyle\frac{10 - 8.1}{2.85}) = P(z > 0.667)

Therefore, value of a is 0.667

4 0
3 years ago
Make x the subject of the formulae <br> 5 ( c − b x ) = 10
Basile [38]

Answer:

x = (c-2)/b

Step-by-step explanation:

5(c - bx) = 10

c - bx = 2

c - 2 = bx

(c - 2)/b = x

3 0
2 years ago
He said the value of x is - 40. Is he correct?<br><br> yes<br><br> no
Harman [31]

Answer:

no

Step-by-step explanation: solve using algebra and find that x is definitely not -40

3 0
3 years ago
Read 2 more answers
Solve the system of equations given below.
eduard

Answer:

The system of this equation is ( -1, 10) which is Option A.

Step-by-step explanation:

Solve for y in the first equation.

y =  - 5x + 5 \\  - 2y =  - x - 21

Replace all occurrences of yy with -5x+5 in each equation.

10x - 10 =  - x - 21 \\ y =  - 5x + 5

Solve for x in the first equation.

x =  - 1 \\ y =  - 5x + 5

Replace all occurrences of x with -1 in each equation.

y = 10 \\ x  =  - 1

The solution to the system is the complete set of ordered pairs that are valid solutions.

(−1, 10)

<u>Hence</u><u>,</u><u> </u><u>the</u><u> </u><u>system</u><u> </u><u>of</u><u> </u><u>this</u><u> </u><u>equation</u><u> </u><u>is</u><u> </u><u>(</u><u>-1</u><u>,</u><u> </u><u>10</u><u>)</u><u>.</u><u> </u>

<u>Option</u><u> </u><u>A</u><u>.</u>

5 0
3 years ago
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