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2 years ago

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Which kind of function best models the data in the table? Graph the data and write an equation to model the data. x y 0 –2 1 –3

2 –4 3 –5 4 –6 exponential; y = 3x – 2 quadratic; y = x2 – 2 linear; y = –x – 2 linear; y = x – 2

1 answer:

jeyben [28]2 years ago

4 0

Let

A (0,-2) B (1,-3) C (2,-4) D ( 3,-5) E (4,-6)

using a graph tool

see the attached figure N 1

case a) exponential

$y=3^{x} -2$

see the attached figure N 2

case b) quadratic

$y=x^{2} -2$

see the attached figure N 3

case c) linear

$y=-x-2$

see the attached figure N 4

case d) linear

$y=x-2$

see the attached figure N 5

therefore

the answer is

the case c) linear

$y=-x-2$

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Partition a number line from 0 to 1 into sixth decompose 2/6 into 4 equal lengths.

Anon25 [30]

When we partition a number line from 0 to 1 into six, each segment has a length of 1/6 and the segments are:
1/6. 2/6. 3/6, 4/6, 5/6 , 6/6

Breaking 2/6 into 4 equal parts, we get each part equal to 1/12

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2 years ago

Janelle ate 82% of the pie. What fraction of the pie remained? help meee

pav-90 [236]

Answer:

There is 18% left of the pie.

Step-by-step explanation:

There is only 100% of a pie. If she at 82% then there is 18% left. 100-82=18

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3 years ago

Read 2 more answers

On each of the 22 work days in a particular month, every employee of a start-up venture was sent a company communication. If a t

fiasKO [112]

Answer:

211

Step-by-step explanation:

As the statement indicates that on each of the 22 work days of the month the employees of the company received a communication and 4642 communications were sent, to be able to determine the number of employees that the company have, you have to divide the number of communications by the number of days:

4642/22= 211

The company has 211 employees.

3 0

2 years ago

Bags of pretzels are sampled to ensure proper weight. The overall average for the samples is 9 ounces. Each sample contains 25 b

77julia77 [94]

Answer:

The value is $UCL = 10.8$

Step-by-step explanation:

From the question we are told that

The sample mean is $\= x = 9 \ ounce$

The sample size is n = 25

The standard deviation is $\sigma = 3 \ ounce$

Given that the sample size is not large enough i.e n< 30 we will make use of the student t distribution table

From the question we are told the confidence level is 99.7% , hence the level of significance is

$\alpha = (100 -99.7 ) \%$

=> $\alpha = 0.003$

Generally the degree of freedom is $df = n- 1$

=> $df = 25 - 1$

=> $df = 24$

Generally from the student t distribution table the critical value of $\frac{\alpha }{2}$ at a degree of freedom of $df = 24$ is

$t_{\frac{\alpha }{2} , 24 } = 3.0$

Generally the margin of error is mathematically represented as

$E = t_{\frac{\alpha }{2} , 24} * \frac{\sigma }{\sqrt{n} }$

=> $E = 3.0 * \frac{3 }{\sqrt{25} }$

=> $E =1.8$

Gnerally the upper control chart limit for 99.7% confidence is mathematically represented as

$UCL = \= x + E$

=> $UCL = 9 + 1.8$

=> $UCL = 10.8$

4 0

2 years ago

(x^2–x–4)multiplied by(x–5)

Sergio [31]

$(x-5)(x^2-x-4) =x^3-6x^2+x+20$

Step-by-step explanation:

Given polynomials are:

$x^2-x-4\\and\\x-5$

Both polynomials have to be multiplied. We will use distributive property for the said purpose

So,

$(x-5)(x^2-x-4)\\=x(x^2-x-4)-5(x^2-x-4)\\=x^3-x^2-4x-5x^2+5x+20$

Combining alike terms

$=x^3-x^2-5x^2-4x+5x+20\\=x^3-6x^2+x+20$

Hence,

$(x-5)(x^2-x-4) =x^3-6x^2+x+20$

Keywords: Polynomials, Multiplication

Learn more about polynomials at:

#LearnwithBrainly

7 0

2 years ago