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LUCKY_DIMON [66]
3 years ago
8

Classify the system of equations and identify the number of solutions.

Mathematics
1 answer:
mestny [16]3 years ago
6 0

Answer:

x = all real numbers

Step-by-step explanation:

first you need to solve the first equation to figure out what y is.

4x - y = 2

<em>add y to both sides of the equation</em>

4x = 2 + y

s<em>ubtract 2 from both sides of the equation</em>

4x - 2 = y

now that you know what y is, you can substitute it in the next equation.

3y = 12x - 6

3(4x - 2) = 12x - 6

<em>open the parenthesis </em>

12x - 6 = 12x - 6

<em>subtract 12x from both sides of the equation</em>

-6 = -6

regardless of what x is, -6 will always equal -6.

so, the answer is all real numbers.

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What are two consecutive integers whose sum is -97
zimovet [89]

Answer:

-48 and -49

Step-by-step explanation:

n + n + 1 = -97

2n + 1 = -97

2n + 1 - 1 = -97 - 1

2n = -98

2n/2 = -98/2

n = -49

 -49 + 1 = -48

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8 0
3 years ago
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A statistics instructor believes that fewer than 20% of Evergreen Valley College (EVC) students attended the opening night midni
Alex17521 [72]

Answer: It is believed that exactly 20% of Evergreen Valley college students attended the opening night midnight showing of the latest harry potter movie.

Step-by-step explanation:

Since we have given that

n = 84

x = 11

So, \hat{p}=\dfrac{x}{n}=\dfrac{11}{84}=0.13

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So, hypothesis:

H_0:p=\hat{p}\\\\H_a:\hat{p}

so, test statistic value would be

z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\\\\z=\dfrac{0.13-0.20}{\sqrt{\dfrac{0.2\times 0.8}{84}}}\\\\z=-1.604

At 1% level of significance, critical value would be

z= 2.58

Since 2.58>-1.604

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Hence, It is believed that exactly 20% of Evergreen Valley college students attended the opening night midnight showing of the latest harry potter movie.

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Firdavs [7]

Answer:

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Step-by-step explanation:

Using the value of the graph we can say that the the function is negative x² because there are x-intercepts and the y-intercept if above 0.

Using the x-intercepts we can form the function of the graph:

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- x² + 2x + 3 - So the function of the graph is:

f(x) = - x² + 2x + 3

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The Sunday school teacher gave 5 Friend's Day invations to each of her 19 students to give to their friends. She had 5 left over
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Please help <br> graphing
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