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sp2606 [1]
4 years ago
8

Okay this my last one can y'all help

Mathematics
1 answer:
zlopas [31]4 years ago
7 0

a. The solution is (0,2)

b. The first expression will be easier to substitute as in the first expression the variable y is already isolated on one side of the equation so we can easily put 5x+2 in place of y in equation 2.

Step-by-step explanation:

Given equations are:

y = 5x+2\ \ \ \ Eqn1\\12.5x+2.5y = 5\ \ \ \ Eqn2

a. Solution

Putting y = 5x+2 in equation 2

12.5x+2.5(5x+2) = 5\\12.5x+12.5x+5 = 5\\25x +5 = 5\\25x = 5-5\\25x = 0\\x = 0

Putting x = 0 in equation 1

y = 5(0)+2\\= 0+2 = 2

Hence,

The solution is (0,2)

b: Reason:

The first expression will be easier to substitute as in the first expression the variable y is already isolated on one side of the equation so we can easily put 5x+2 in place of y in equation 2.

Keywords: Linear equation, substitution

Learn more about linear equations at:

  • brainly.com/question/4786449
  • brainly.com/question/4793866

#LearnwithBrainly

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cluponka [151]

Answer:

<em>Her speed driving in nice weather is 50 mph and in thunderstorm is 32 mph.</em>

Step-by-step explanation:

Barbara drives 50 miles in clear weather and then encounters a thunderstorm for the last 16 miles.

Suppose, her speed in nice weather is  x mph.

As she drives 18 mph slower through the thunderstorm than she does in clear weather, so her speed in thunderstorm will be: (x-18) mph

<u>We know that,</u>  Time = \frac{Distance}{Speed}

So, <u>the time of driving in clear weather</u> =\frac{50}{x} hours

and <u>the time of driving in thunderstorm</u> =\frac{16}{x-18} hours.

Given that, <u>the total time for the trip is 1.5 hours</u>. So, the equation will be......

\frac{50}{x}+ \frac{16}{x-18}=1.5 \\ \\ \frac{50x-900+16x}{x(x-18)}=1.5\\ \\ \frac{66x-900}{x(x-18)}=1.5 \\ \\ 1.5x(x-18)=66x-900\\ \\ 1.5x^2-27x=66x-900\\ \\ 1.5x^2-93x+900=0\\ \\ 1.5(x^2 -62x+600)=0\\ \\ x^2 -62x+600=0\\ \\ (x-50)(x-12)=0

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x-50=0\\ x=50\\ \\ and\\ \\ x-12=0\\ x=12

<em>We need to ignore x=12 here, otherwise the speed in thunderstorm will become negative.</em>

So, her speed driving in nice weather is 50 mph and her speed driving in thunderstorm is (50-18) = 32 mph

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Answer:

The correct order is :

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Step-by-step explanation:

The correct order of the steps of a hypothesis test is given following

1. Determine the null and alternative hypothesis.

2. Select a sample and compute the z - score for the sample mean.

3. Determine the probability at which you will conclude that the sample outcome is very unlikely.

4. Make a decision about the unknown population.

These steps are performed in the given sequence to test a hypothesis.

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The easiest way to solve this is to realise that a triangle takes up half the area of a rectangle of the same width and height.

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