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leonid [27]
3 years ago
14

Y+5=2(x+1) which ordered pair is a solution of the equation.

Mathematics
2 answers:
andreyandreev [35.5K]3 years ago
8 0

Answer:

(1, - 1 ) is a solution

Step-by-step explanation:

There are an infinite number of solutions to the equation.

To find a particular solution, choose a value for x, substitute into the equation and solve for y, that is

Choosing x = 1, then

y + 5 = 2(1 + 1) = 2(2) = 4 ( subtract 5 from both sides )

y = 4 - 5 = - 1, thus

one solution is (1, - 1 )

Alex17521 [72]3 years ago
4 0

Answer: y+3=2x

Step-by-step explanation:

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Delicious77 [7]

Answer:

x = 2 and y = 5

Step-by-step explanation:

Given the simultaneous linear equations

y = 2x + 1 and x + y = 7

We are to find the  value of x and y;

Substitute 1 into 2

From 2;

x+y = 7

x+2x+1 = 7

3x+1 = 7

3x = 7-1

3x = 6

x = 6/3

x = 2

Recall that y = 2x+1

y = 2(2) + 1

y = 4+1

y = 5

Hence the solution from the graph will be the point where the line cuts the x axis and this will be at x = 2 and y = 5

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6 0
3 years ago
Ron has 24 coins with a total value of $3.00. The coins are nickels (5 cents) and quarters (25 cents). How many of each coin doe
Vesna [10]

Answer:

Ron has 15 nickels and 9 quarters

Step-by-step explanation:

Create a system of equations where n is the number of nickels and q is the number of quarters he has:

n + q = 24

0.05n + 0.25q = 3

Solve by elimination by multiplying the top equation by -0.25

-0.25n - 0.25q = -6

0.05n + 0.25q = 3

Add them together and solve for n:

-0.2n = -3

n = 15

So, Ron has 15 nickels. Find how many quarters he has by subtracting 15 from 24:

24 - 15

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3 0
3 years ago
It has a time to failure distribution which is normal with a mean of 35,000 vehicle miles and a standard deviation of 7,000 vehi
Triss [41]

Answer:

The designed life should be of 21,840 vehicle miles.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 35,000 vehicle miles and a standard deviation of 7,000 vehicle miles.

This means that \mu = 35000, \sigma = 7000

Find its designed life if a .97 reliability is desired.

The designed life should be the 100 - 97 = 3rd percentile(we want only 3% of the vehicles to fail within this time), which is X when Z has a p-value of 0.03, so X when Z = -1.88.

Z = \frac{X - \mu}{\sigma}

-1.88 = \frac{X - 35000}{7000}

X - 35000 = -1.88*7000

X = 21840

The designed life should be of 21,840 vehicle miles.

3 0
3 years ago
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