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Anon25 [30]
2 years ago
7

Tell whether each relationship is a function.

Mathematics
1 answer:
Serhud [2]2 years ago
8 0

Answer:

3 is a function.

1 and 2 are not.

Step-by-step explanation:

1 and 2 are not functions because we can draw a vertical line which passes through  more than one point on the graphs.

You cant do this on graph 3 so it is a function.

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When 15 minus 3 is multiplied by a number the product is 2.
AlexFokin [52]
The number is 1/6. 15 minus 3 = 12. 12 times 1/6 is 2
4 0
2 years ago
Simplify the fraction (4t^2-16/8) / (t-2/6)
tester [92]

Answer:

A. 3(t+2)

Step-by-step explanation:

We can easily solve your question by using any computational tool or calculator

Please see attached images for a full analysis of your problem

The result is

A. 3(t+2)

5 0
3 years ago
Read 2 more answers
If 3x - 2y = 9 , 27x³- 8y³= 1377 , prove that xy = 4 <br><br><br><br>plzz answer this question... ​
solniwko [45]

Step-by-step explanation:

Here we are given that , the Value of

  • 3x - 2y = 9
  • 27x^3 - 8y^3 = 1377

And we need to find the prove that ,

  • xy = 4

We know a identity as ,

  • (a-b)^3 = a^3-b^3-3ab(a-b)

On cubing both sides of the given equation,

  • (3x-2y)^3 = 9^3

Simplify and then substitute ,

  • 27x^3-8y^3 -3(3x)(2y)(3x-2y ) = 729

  • 1377 - 18xy (9) = 729

  • 162xy = 1377-729

  • xy =\dfrac{648}{162}

  • xy = 4

Hence Proved !

8 0
3 years ago
Type the correct answer for each box write your answer in decimal form rounded to the nearest tenth if necessary type the soluti
stira [4]

The solution is x=-1 and x=-0.5

Step-by-step explanation:

The expression is 2x(x+1.5)=-1

Multiplying the term x+1.5 by 2x, we get,

2x^{2} +3x=-1

Adding both sides by 1,

2x^{2} +3x+1=0

Taking factor, we get,

\begin{array}{r}{x^{2}+2 x+x+1=0} \\{2 x(x+1)+1(x+1)=0} \\{(2 x+1)(x+1)=0}\end{array}

Equating the factors to 0,

\begin{aligned}2 x+1 &=0 \\2 x &=-1 \\x &=-\frac{1}{2}\\x&=-0.5\end{aligned} and \begin{aligned}x+1 &=0 \\x &=-1\end{aligned}

Thus, the smaller value is x=-1

The solution is x=-1 and x=-0.5

3 0
3 years ago
Evelyn wants to estimate the percentage of people who own a tablet computer she surveys 150 indvidals and finds that 120 own a t
igomit [66]

Answer:

The 99% confidence interval for the percentage of people who own a tablet computer is between 71.59% and 88.41%

Step-by-step explanation:

Confidence interval for the proportion of people who own a tablet:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 150, \pi = \frac{120}{150} = 0.8

99% confidence level

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so Z = 2.576.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 - 2.575\sqrt{\frac{0.8*0.2}{150}} = 0.7159

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 + 2.575\sqrt{\frac{0.8*0.2}{150}} = 0.8841

Percentage:

Multiply the proportion by 100.

0.7159*100 = 71.59%

0.8841*100 = 88.41%

The 99% confidence interval for the percentage of people who own a tablet computer is between 71.59% and 88.41%

8 0
3 years ago
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