The unit prices and quantities for two goods for two years
are shown in the table below. Assume that consumers are
purchasing 8 units of water and 10 loaves of bread. Also
assume that Year 1 is the base year.
Year
Price of Water Price of Bread
(dollars) (dollars)
$1.00
$2.00
1
2
2.00
3.00

Answer:

a.) May or may not a polynomial function ( depends on c)

b.) Not a polynomial function.

c.) Not a polynomial function.

d.) It is a polynomial function.

Step-by-step explanation:

A polynomial function is of the form - [tex]a_{n}x^{n} + a_{n-1} x^{n-1} + a_{n-2} x^{n-2} + .....+ a_{1}x + a_{0}[/tex]

where n is positive integer and n[tex]\neq[/tex] 0

a.)

P(x) = 2x³ + 32 - 4x + 4c

It may or may not a polynomial function because we did not know about the constant c.

b.)

H(x) = 4[tex]x^{\frac{1}{2} }[/tex] - 3x⁴

It is not a polynomial function because [tex]\frac{1}{2}[/tex] is not integer.

c.)

G(x) = 2[tex]x^{-3}[/tex] + 5

It is not a polynomial function because -5 is not a positive integer.

d.)

F(x) = 2x³ - 5x + 33x²

It is a polynomial function.

The standard form of a polynomial is expressed as;

[tex]p(x)=a_nx^n+x_{n-1}x^{n-1}+x_{n-2}x^{n-2}+...[/tex]

The leading power of a polynomial must be greater than 2 and must be a positive integer.

a) For the polynomial [tex]P(x)=2x^3+3x^2-4x+4c[/tex]

This is a polynomial since the leading degree of the polynomial is greater than 2 and a positive integer.

b) For the function [tex]G(x)=2x^{-3}+5[/tex]

This is not a polynomial because the leading degree of the polynomial is a negative integer

c) For the function [tex]H(x) =4x^{\frac{1}{2} }-3x^4[/tex]

This is not a polynomial because the leading degree of the polynomial is a fraction.

d) For the polynomial [tex]P(x)=2x^3-5x+3+3x^2[/tex]

This is a polynomial since the leading degree of the polynomial is greater than 2 and a positive integer.

Learn more here: https://brainly.com/question/16467846

Answer:

81

Step-by-step explanation:

25 and 27 are not perfect squares so they can not be the answer.

36 and 81 are both multiples of 3, but only 81 is not even, so the answer is 81

Charlie travelled greater amount of time.

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given:

D(t) = 60 |t- 3|

for, t=0

D(0) = 60*3 = 180

For t=1,

D(1) = 120

For t= 2

D(2) = 60

According to the data of Charlie and Annabeth it can bee seen that charlie had been travelling greater amount of time.

Learn more about function here:

https://brainly.com/question/12431044

#SPJ2

Answer:

Charlie!

Step-by-step explanation:

Answer:

15 minutes

Step-by-step explanation:

400 to 2000(x5)

so, 3 times 5 is equal to 15 min

Answer:

[tex]x^{2}[/tex]-2x+10

Step-by-step explanation:

Answer:

that will be 725.10 im not sure

Answer:

The answer is 770.9 and cant be rounded to the nearest tenth.

Answer:

9.5

Step-by-step explanation:

When rounding to the nearest tenth, check to see what the hundredths place value is.

If it is 0.05 or greater, we will round the tenths place up one.

If not, the tenths place will remain the same.

Since 9.52 has a hundredths place value of 0.02, we will keep the same tenths place value.

So, the correct answer is 9.5

Answer: 2

Step-by-step explanation:

The leading coefficient is just the value before the variable with the highest power. So first we must find the portion in your polynomial that has the highest degree. The highest degree simply means the variable with the highest power. The highest power is two, so we will look at the coefficient of that portion. The coefficient of 2x^2 is 2 .

Answer:

6x + 3h

Step-by-step explanation:

F(X) = 3x^2

F(X+h) = 3(X+h)^2

then F(X+h) - F(X) / h

= 3(X+h)^2 - 3x^2 / h

= 3(x^2 + 2hx + h^2) - 3x^2 / h

= 3x^2 + 6hx +3h^2 - 3x^2 / h

= 6hx + 3h^2 / h

= h (6x +3h) / h

= 6x + 3h

I hope this answer is correct

Answer:

[tex]\frac{112}{3}[/tex]

Step-by-step explanation:

14 ÷ 3/8 = 14 • 8/3

= 112/3

Answer:

37 1/3

Step-by-step explanation:

use Keep Change Flip when dividing with fractions! :) It's helpful

for example: 14 ÷ 3/8

14 (keep as 14)

* (change to multiplication)

8/3 (flip the fraction)

14 times 8/3= 37 1/3

Answer

didn't know there was an image

Answer:

ice sheets water vapor, and rivers

Step-by-step explanation:

vote brainiest if this helped

Answer:

c

Step-by-step explanation:

Answer:

Pilot error = 347 / 1487 = 0.233 = 23.3%

Other human error = 83 / 1514 = 0.055 = 5.6%

Weather = 596 / 1487 = 0.401 = 40.1%

Mechanical problem = 374 / 1487 = 0.233 = 23.3%

Sabotage = 114 / 1487 = 0.077 = 7.7%

Step-by-step explanation:

Given the data :

Pilot error = 347

Other human error = 83

Weather = 596

Mechanical problem = 374

Sabotage = 114

Cummlative sum = (347 + 83 + 596 + 374 + 114) = 1487

Relative frequency :

Pilot error = 347 / 1487 = 0.233 = 23.3%

Other human error = 83 / 1514 = 0.055 = 5.6%

Weather = 596 / 1487 = 0.401 = 40.1%

Mechanical problem = 374 / 1487 = 0.233 = 23.3%

Sabotage = 114 / 1487 = 0.077 = 7.7%

Based on the relative frequency estimate, Weather is the most serious threat to aviation safety.

Deployment of more weather monitoring technologies

Y=2+-4x

Step-by-step explanation:

Hope ot helps

Answer: 16.1

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

If EG=8, OE=4

x/12=4

x=4(12)

x=48

Answer:

Step-by-step explanation:

Wait where is the picture

Answer:

5 quarters and 2 dimes

Step-by-step explanation:

5 quarters make 1.25 + 10 cents = 1.45

Answer: she had five quarters and 2 dimes

Step-by-step explanation:

Answer:

It is a same size scalene triangle as the original triangle.

Step-by-step explanation:

:)

Answer: Choice B

It is a same size scalene triangle as the original triangle.

Step-by-step explanation:

A. It is a smaller scalene triangle than the original triangle.

B.(It is a same size scalene triangle as the original triangle.)

C.It is a larger scalene triangle than the original triangle.

Answer:

What impact did the American Revolution have on Haiti? The American Revolution occurred first and in part inspired the Haitian and French Revolutions. ... The Haitian Revolution was the first and only slave uprising that led to the establishment of a free state without slavery and ruled by non-whites and former slaves.

What impact did the Haitian Revolution have on the United States?The Haitian Revolution had many international repercussions. It ended Napoleon's attempts to create a French empire in the Western Hemisphere and arguably caused France to decide to sell its North American holdings to the United States (the Louisiana Purchase)—thus enabling the expansion of slavery into that territory.

Step-by-step explanation:

BRAINLIST PLEASE!!

Answer:

(5,30)

Step-by-step explanation:

That is the constant change in the y's as the x's increase by 1?

12 - 6 = 6

18 - 12 = 6

24 - 18 = 6

The common difference is 6 so the next coordinate will be 6 more on the y and 1 more on the x.

(5,30)

Answer:

7.)

a. y = -3x+3

b. y = 3x + 4

c. y = x + 3 (not sure about this one)

8.)

x = 63

y = 6

6.)

left an attachment (not sure about the growth triangle though)

5.)

Red Line - slope = -2

                 y-in = 1

Blue Line - slope = (1/2) or 0.5

                  y-in = 3

Green Line - slope = (-2/3) or 0.667

                    y-in = -4

Step-by-step explanation:

Sorry it took me so long

Answer:

B. 95%

Step-by-step explanation:

The mean is in the middle and standard deviation is 12. So subtract 12 from 98 until you get to 74. That's two times. And two times/spaces to the left and right is 95% of the data.

The confidence interval is 95.45% of the data in the data set with a normal distribution

The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test. In statistics, confidence is another word for probability.

With a 95 percent confidence interval, you have a 5 percent chance of being wrong. With a 90 percent confidence interval, you have a 10 percent chance of being wrong. A 99 percent confidence interval would be wider than a 95 percent confidence interval

Confidence Interval CI = x + z ( s/√n )

where x = mean

z = confidence level value

s = standard deviation

n = sample size

Given data ,

To find out what percent of the data lie between 74 and 122 in a normal distribution with a mean of 98 and a standard deviation of 12, we can use the empirical rule, also known as the 68-95-99.7 rule, which states that:

Approximately 68% of the data falls within one standard deviation of the mean

Approximately 95% of the data falls within two standard deviations of the mean

Approximately 99.7% of the data falls within three standard deviations of the mean

Based on this rule, we can estimate the percentage of data that lies between 74 and 122 as follows:

Calculate the z-scores for 74 and 122 using the formula: z = (X - mean) / standard deviation

For 74: z = (74 - 98) / 12 = -2

For 122: z = (122 - 98) / 12 = 2

Find the area under the normal curve between these two z-scores using a standard normal distribution table or a statistical calculator.

The area between z = -2 and z = 2 represents the percentage of data that lies between 74 and 122.

Using a standard normal distribution table, we can find that the area between z = -2 and z = 2 is approximately 0.9545 or 95.45%.

Hence , about 95.45% of the data in the data set with a normal distribution would be expected to lie between 74 and 122.

To learn more about confidence interval click :

https://brainly.com/question/16807970

#SPJ3

Answer:

c

Step-by-step explanation:

Answer:

12n

Step-by-step explanation:

Answer:

They should interview 1620 adults now.

Step-by-step explanation:

Margin of error of a confidence interval:

The margin of error of a confidence interval has the following format:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which z is related to the confidence level, [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

In this question:

z wont change, neither will [tex]\sigma[/tex]

We want to increase n as such the margin of error is reduced to one third.

We have that the margin of error is inversely proportional to the square root of the size of the sample, which means that for the margin of error to be reduced to one third, the sample size has to be multiplied by [tex]3^2 = 9[/tex]. So

180*9 = 1620

They should interview 1620 adults now.

Answer:

"C" is the answer to that question

Answer:

C

Explanation:

Because I say so

2²-4²+1+7²

we should solve the numbers with exponents :

4-16+1+49 = -12 + 1 + 49 = -11 + 49 = 38

pls give me brainliest

Answer:

Rotational symmetry

Step-by-step explanation:

The rectangle rotated 180 degrees to get the transformed rectangle.