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n200080 [17]
4 years ago
7

Solve the equation y=-5x+24 y=4x-21

Mathematics
1 answer:
ryzh [129]4 years ago
5 0

Answer:

x=5 y=-1

Step-by-step explanation:

y=-5x+24

y=4x-21

Since both equations are equal to y, we can set them equal to each other

-5x+24=4x-21

Add 5x to each side

-5x+5x+24=4x+5x-21

24 = 9x-21

Add 21 to each side

24+21 = 9x-21+21

45 = 9x

Divide by 9

45/9 = 9x/9

5 =x

Now we need to find y

y = 4x-21

y =4(5) -21

y =20-21

y =-1

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Answers:

Figure a has been translated only (translated 9 units to the right)

Figure b has been reflected over the x axis

Figure c has been rotated and translated

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Explanation:

Pick on a point like (-7,4) and note how it moves 9 units to the right to get to (2,4). All points on the upper left figure follow this same translation rule. This rules in figure a.

Figure b is a result of reflecting over the x axis. The rule used is (x,y) \to (x,-y). The x coordinate stays the same while the y coordinate flips from positive to negative. So for example, (-7,4) flips to (-7,-4)

Figure c is a combination of rotating and translating the original figure. It looks like a 90 counterclockwise rotation has been applied followed by a translation. The actual translation and rotation rules used will depend on how you define the center of rotation.

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Answer:

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Step-by-step explanation:

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Complete Question

In a random sample of 13 microwave ovens, the mean repair cost was $90.00 and the standard deviation was $15.20. Using the standard normal distribution with the appropriate calculations for a standard deviation that is known, assume the population is normally distributed, find the margin of error and construct a 98% confidence interval for the population mean u. A 98% confidence interval using the t-distribution was (78.7,101.3). Compare the results. The margin of error of u is

Answer:

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Step-by-step explanation:

From the question we are told that

    The sample is  n  = 13

     The sample mean is  \= x  =  \$ 90

     The standard deviation is  \sigma = \$ 15.20

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Generally the margin of error is mathematically represented as

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Answer:

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Step-by-step explanation:

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Let the incorrect answers be denoted by I.

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