1. Input, X 9753 1 Output, y 1 2 2 3 4 Function - Yes or no

Answers

Answer 1

before we can dtermone whether it is a function, there must be a relationship between X and y i.e they must have a constannt of proportionality as shown:

From the table:

when x = 9, y = 1

when x = 7, y = 2

when x = 5, y = 2

when x = 3, y = 3

when x = 1, y = 4

let us determine the constant of proportionality from the given values as shown:

k = y2-y1/x2-x1

when x = 9, y = 1

when x = 7, y = 2

k = 2-1/7-9

k = 1/-2

k = -1/2

Also

when x = 5, y = 2

when x = 3, y = 3

k = 3-2/3-5

k = 1/-2

k = -1/2

Also;

when x = 5, y = 2

when x = 3, y = 3

k = 3-2/3-5

k = 1/-2

k = -1/2

Since all the constant of proportionality are the same;

Hence y = kx

y = -1/2 x

This shows that the tabke is a function and X is directly proportional to y. hence the answer is YES, it is function

Answer 2
Answer is Yes it’s a function

Reason

For every x value there is a unique y value, so the x value “input” cannot be repeated. If there are two like x values, there will be two points on your graph that will not pass the vertical line test. The vertical line test is used to determine if a set is a function or not.

See attachment for example.
1. Input, X 9753 1 Output, Y 1 2 2 3 4 Function - Yes Or No

Related Questions

Find the solutions of the following equations in the interval [0, 2π).

Answers

In order to solve this equation, we can first do the following steps to simplify it:

7. f(x) = x² + 4 (a) f(-2) (b) f(3) f) f (c) f(2) (d) f(x + bx)

Answers

[tex]\begin{gathered} a)\text{ 2}\sqrt[]{2} \\ b)\text{ }\sqrt[]{13} \\ c)\text{ 2}\sqrt[]{2} \\ d)\text{ }\sqrt[]{x^2(1+2b+b^2)+4}\text{ } \end{gathered}[/tex]Explanation:[tex]f(x)\text{ = }\sqrt[]{x^2\text{ + 4}}[/tex][tex]\begin{gathered} a)\text{ when x = -2} \\ f(-2)\text{ = }\sqrt[]{(-2)^2\text{ + 4}}\text{ = }\sqrt[]{4+4} \\ f(-2)\text{ = }\sqrt[]{8}\text{ = }\sqrt[]{2\times4} \\ f(-2)\text{ = 2}\sqrt[]{2} \end{gathered}[/tex][tex]\begin{gathered} b)\text{ }when\text{ x = 3} \\ f(3)\text{ = }\sqrt[]{(3)^2+\text{ 4}}\text{ = }\sqrt[]{9\text{ + 4}} \\ f(3)\text{ = }\sqrt[]{13} \end{gathered}[/tex][tex]\begin{gathered} c)\text{ when x = 2} \\ f(2)\text{ = }\sqrt[]{(2)^2+4}\text{ = }\sqrt[]{4+4} \\ f(2)\text{ = }\sqrt[]{8} \\ f(2)\text{ = 2}\sqrt[]{2} \end{gathered}[/tex][tex]\begin{gathered} d)\text{ when x = x + bx} \\ f(x\text{ + bx) = }\sqrt[]{(x+bx)^2+4}\text{ = }\sqrt[]{(x+bx)(x^{}+bx)+4} \\ f(x\text{ + bx) = }\sqrt[]{(x^2+bx^2+bx^2+b^2x^2)+4} \\ f(x\text{ + bx) = }\sqrt[]{(x^2+2bx^2^{}+b^2x^2)+4} \\ f(x\text{ + bx) = }\sqrt[]{x^2(1+2b+b^2)+4}\text{ } \end{gathered}[/tex]

I need help with my math assignment thank you :)

Answers

Okay, here we have this:

Considering the provided information, we are going to match the situations to their corresponding functions, so we obtain the following:

1: The total pages a person reads in x days, if the person reads 6 pages a day: f(x)=6x.

2: The cost of x boxes of mangoes, if 1 box cost $6 and the shipping charge is $6 per order: f(x)=6x+6 -> f(x)=6(x+1)

3: The total cost of x notebooks, if one notebook cost $6 and students receive a discount of $1 off their bill: f(x)=6x-1

4: The total cost of x novels and a pocket dictionary if you buy a novels each at $6 and get a pocket dictionary at $1: f(x)=6x+1

Calculate the determinant of this 2x2 matrix. Provide the numerical answer. 2 -14 - 5

Answers

Determinant of a matrix

In order to find the determinant we just multiply the diagonals

Then we substract the second result to the first:

[tex]\begin{gathered} \begin{bmatrix}{2} & {-1} & {} \\ {4} & {-5} & {} \\ & {} & {}\end{bmatrix}=2\cdot(-5)-4\cdot(-1) \\ =-10-\mleft(-4\mright)=-10+4 \\ =-6 \end{gathered}[/tex]Answer: the determinant of this 2x2 matrix is -6

Domingo had 250 baseball cards, andJennifer had 82 baseball cards. At thefirst meeting of the Card Club and atevery meeting thereafter, Domingo sold12 cards to Jennifer. After which meetingdid the two have the same numberof cards?

Answers

Data:

Domingo: D

Jennifer: J

Initial number of cards:

D=250

J=82

After each meeting(m):

D=250-12m

J=82+12m

After the first meeting: m=1

[tex]D=250-12(1)=238[/tex][tex]J=82+12(1)=94[/tex]

You increase in 1 the m after each meeting and get the next table:

Then, they have the same number of cards after 7th meeting

Where may estimation of decimals be useful in every-day life? Give an example

Answers

You can use decimal numbers (those numbers that have a comma after an interger part and before the decimal part)

You can use decimal numbers in real life in measures as:

Examples:

weight (you can weight 132,27 lb)

volumen of soda (you can drink a glass of soda of 8,45 oz = 0,25 L)

The temperature ( the temperature can be 89,9 F)

All the examples above have decimal number that can be useful in every-day life.

What is 35% of 125?

Answers

The 35% of 125 is computed as follows:

[tex]125\cdot\frac{35}{100}=43.75\text{ \%}[/tex]

Question 1
Is the sequence arithmetic: 78, 785, 7855, 78555, ...
O No
5 pts
Yes
Next >

Answers

The sequence is not arithmetic

What is a sequence?

A sequence in mathematics is an enumerated collection of items in which repetitions are permitted and order is important. It, like a set, has members (also called elements, or terms). The length of the series is defined as the number of items (which might be infinite). Unlike a set, the same components can occur numerous times in a sequence at various points, and the order does important. Formally, a sequence may be defined as a function from natural numbers (the sequence's places) to the items at each point. The concept of a sequence may be extended to include an indexed family, which is defined as a function from an arbitrary index set.

The given sequence 78, 785, 7855, 78555, ... is not arithmetic.

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Find the percent markdown. Cost of a pants $36.95, selling price $24.02

Answers

Answer:

35%

Explanation:

Given cost of a pant = $36.95 and selling price = $24.02.

Let the markdown percent be y.

To determine the markdown percent, we'll use the below formula;

Sale Price = Original Price x (1 - Markdown% in decimal)

So let's go ahead and substitute the given values into the equation;

[tex]\begin{gathered} 24.02=36.95\ast(1-y) \\ 24.02=36.95-36.95y \\ -12.93=-36.95y \\ y=\frac{-12.93}{-36.95} \\ y=0.35 \\ \therefore y=35percent \end{gathered}[/tex]

So the markdown percent is 35%

What is your answer? estion 3 Why is this your answer? 60 40 20 Which is the correct answer? 4 5 6 Time (seconds) Why is this the correct answer? statement is TRUE about the motion of this object as shown in the graph? The object was accelerating from t = 1 tot = 3 The object was slowing down from t = 4.5 to t= 6. © The object returned to its original location by t = 6 seconds. The object was traveling at a constant speed from t = 3 to t = 45 seconds

Answers

As we can see in the graph the object returned to its original position in t=6.

It's not accelarating because acceleration is the second derivate of the position, and the position is determined by a linear equation.

The answer is C.

In a third day of randomly selected subjects, the mean age of the 36 respondents is 40 years and the standard deviation of ages is 10 years. Use the sample results to construct a 95% confidence interval estimate of the mean age of the population from which the sample was selected. Repeat the previous problem assuming that the population standard deviation is known to be six years.

Answers

a. Given that:

- The mean age of the 36 respondents is 40 years.

- The standard deviation of ages is 10 years.

You need to construct a 95% confidence interval estimate of the mean age of the population from which the sample was selected.

Then, you need to use this formula:

[tex]x\pm z\cdot\frac{\sigma}{\sqrt{n}}[/tex]

Where "x" is the sample mean, "z" is the confidence level value, "n" is the sample size, and σ is the standard deviation.

In this case:

[tex]\begin{gathered} x=40 \\ \sigma=10 \\ n=36 \end{gathered}[/tex]

Therefore, by substituting values into the formula:

[tex]40\pm\frac{10}{\sqrt{36}}[/tex]

You get these two values:

[tex]40+\frac{10}{\sqrt{36}}\approx41.67\text{ }[/tex][tex]40-\frac{10}{\sqrt{36}}\approx38.33[/tex]

b. If you assume that:

[tex]\sigma=6[/tex]

You get the following values by substituting them into the formula:

[tex]40+\frac{6}{\sqrt{36}}=41[/tex][tex]40-\frac{6}{\sqrt{36}}=39[/tex]

Hence, the answers are:

a.

[tex](38.33,41.67)[/tex]

b.

[tex](39,41)[/tex]

John owes $25.20 to his mom. He borrowed $27.60 from his dad. Howmuch does he owe in all? Write your answer as a rational number *

Answers

John owes to his Mom and Dad.

From Mom = 25.20

From Dad = 27.60

The total amount he owes is the sum of both. We just add both the amounts.

Total: 25.20 + 27.60 = $52.80

How do you evaluate the following polynomials for a domain value?P(x) = -3x² + 9x find P(-5)

Answers

The given polynomial is expressed as

P(x) = - 3x^2 + 9x

The domain values are the x values. To find P(-5), it means that we would substitute x = - 5 into the polynomial. It becomes

P(- 5) = - 3(- 5)^2 + 9(- 5)

P(- 5) = - 3 * 25 - 45

P(- 5) = - 75 - 45

P(- 5) = - 120

What is the range of f(x) = 3x + 9?

{y | y < 9}
{y | y > 9}
{y | y > 3}
{y | y < 3}

Answers

The range of f(x) = 3x + 9

{y | y > 9}, Option B

This is further explained below.

What is the range?

Generally, Based on the possibilities that have been presented to us, we may speculate that x is inside the exponent of 3.

Therefore, the formula for the function f(x) is really f(x) = 3x +9

Now that we have a function, we need to determine its range of values.

It is clear that the first component is an exponential term denoted by 3x, and that the second term is the number 9.

It is common knowledge that the product 3x will always be higher than 0.

As a result, the result of adding 3x to 9 will always be more than 9.

As a result, the range would be y more than 9.

In conclusion, option B "y | y > 9" is the range

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Answer: B

Step-by-step explanation: Trust

18. What is the probability of drawing a BLACK card with an odd number OR a card with a LETTER?A.21261B..ع1726p D. 13

Answers

Let:

A = Draw a black card

B = Draw and odd number

C = Draw a card with a letter

so:

[tex]\begin{gathered} P(A\cap B)=\frac{8}{52}=\frac{2}{13} \\ P(C)=\frac{16}{52}=\frac{4}{13} \end{gathered}[/tex]

Therefore:

[tex]P((A\cap B)\cup C)=\frac{2}{13}+\frac{4}{13}=\frac{2+4}{13}=\frac{6}{13}[/tex]

Complete the following proof
Given: = 3(5x + 1) = 13x + 5
Prove: x = 1

Answers

Key ConceptsProving algebraic expressions

Solving the Question

[tex]3(5x + 1) = 13x + 5[/tex]

Plug in x=1:

[tex]3(5(1) + 1) = 13(1) + 5\\3(5 + 1) = 13 + 5\\3(6) = 18\\18=18[/tex]

This statement is true.

Finding Slope

Help mee

Answers

Answer:

-5 over 30

Step-by-step explanation:

What is the value of 7C4?A). 35B). 840C). 2,520D). 5,040

Answers

Answer:

A) 35

Explanation:

The combination nCx can be calculated as:

[tex]\text{nCx}=\frac{n!}{x!(n-x)!}[/tex]

Where n! = n(n-1)(n-2)...(2)(1)

So, to find 7C4, we need to replace n by 7 and x by 4 to get:

[tex]7C4=\frac{7!}{4!(7-4)!}=\frac{7!}{4!(3)!}[/tex]

Therefore, 7C4 is equal to:

[tex]7C4=\frac{7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1}{(4\cdot3\cdot2\cdot1)(3\cdot2\cdot1)}=\frac{5040}{24(6)}=\frac{5040}{144}=35[/tex]

So, the answer is:

A) 35

Find the perimeter of rectangle given below and drop the appropriate expression. DRAG & DROP THE ANSWER 2s - 6 38 - 12 Perimeter = 264

Answers

1) In order to determine the perimeter of the figure, you take into account tht the perimeter is the sum of the values of all sides of a figure.

In this case, the sides of the triangle are s-4, s-8, and 6 respectivelly.

The perimer is the sum of the values of the sides, then, you have:

P = (s-4)+(s-8)+(6) "P is the perimeters"

= s-4+s-8+6 "sum simmilar terms, terms with variables and idependet term"

= 2s-6

Hence, the perimeter of the triangle is 2s - 6

2) The perimeter of a rectangle is P = 2w + 2l, in order to solve for w you proceed as follow:

P = 2w + 2l "subtract 2l both sides"

P - 2l = 2w "divide by 2 both sides"

(P - 2l)/2 = w

Hence, w = (P - 2l)/2

212385758487✖️827648299199375

Answers

Answer:

1.7578071e+26

Step-by-step explanation:

jeslie ann has a 48 month installment loan of 82.91. the amount she borrowed was 3600

Answers

Concept, Finance charge

Prior to multiplying the result by 100, divide the finance charge by the total amount funded. The finance charge per $100 of the financed amount is the end outcome of credit.

Step 1

Loan Amount(p)= 3600

Number of Payments per year(n)= 12

Time in Years (t)=4

Installment Payment (m)=83.81

Total amount paid in 48 installments= 4022.88

Amount Paid - Amount Financed = 4022.88 - 3500 = 522.88 in finance charges.

To determine the annual percentage rate. Prior to multiplying the result by 100, divide the finance charge by the total amount funded. The finance charge per $100 of the financed amount is the end outcome.

Finance Charge​/ Amount financed × 100= 522.88/ 3600× 100= 14.5

To use Table , look for 48 in the far left-hand column under the heading Number of Payments. Then move across to the right until you find the value closest to 14.5. In this case, 14.5 is in the table. The value 7 is at the top of this column. The yearly percentage rate is therefore around 7. Monthly payments are 83.81. After 12 payments have been made, 30 payments remain. Therefore, P = 83.81 and n = 30. Use the APR table to calculate V . In the Number of Payments column, find the number of remaining payments, 30, and then look to the right until you reach the column headed by 7%, the APR. intersect at 9.30. Thus, V = 9.30.

:[tex]u=nPV/100+V\\u=30*83.81*9.30/100+9.30=213[/tex]

Total due amount = Total remaining payment including interest- saving on interest + 12th monthly payment= 2514.3- 213.934+ 83.81= 2384.17

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Just the number 2 please a ball is tossed in the air in such a way that …..

Answers

Note that a quadratic function is increasing and decreasing at exactly half between the roots.

The roots are the point on the ground when tossing the ball into the air.

So we need to get the roots of the given equation.

Roots are the values of x when y = 0

[tex]\begin{gathered} y=-x^2+6x \\ 0=-x^2+6x \\ 0=-x(x-6) \\ -x=0\Rightarrow x=0 \\ (x-6)=0\Rightarrow x=6 \end{gathered}[/tex]

So the roots are 0 and 6, this will be the x coordinate or the point on the ground.

Since the equation is increasing halfway and decreasing up to the ground, the halfway point is the midpoint between the roots.

Midpoint = (0 + 6)/2 = 3

Therefore, the ball's height is always decreasing at 3 < x < 6

The answer is 3 < x < 6

A rectangle has a length of 9 inches and a widt of 5 inches whose sides are changing. The length is increasing by 3 in/sec and the width is shrinking at 9 in/sec. What is the rate of change of the perimeter?

Answers

Given:

A rectangle has a length of 9 inches and a width of 5 inches whose sides are changing. The length is increasing by 3 in/sec and the width is shrinking at 9 in/sec.

To find:

The rate of change of the perimeter.

Solution:

It is known that the perimeter of the rectangle is twice the sum of length and width.

[tex]P=2(l+w)[/tex]

DIfferentiate the perimeter with respect to t:

[tex]\frac{dP}{dt}=2(\frac{dl}{dt}+\frac{dw}{dt})[/tex]

From the given information:

[tex]\begin{gathered} \frac{dP}{dt}=2(3-9) \\ =2(-6) \\ =-12 \end{gathered}[/tex]

Thus, the perimeter of the rectangle is decreasing at the rate of 12 inches per second.

a motorboat travels 456 km in 8 hours going upstream and 783 km in 9 hours going downstream. what is the rate of the boat in still water and what is the rate of current?

Answers

[tex]\begin{gathered} \text{Let;s assume the sp}e\text{d of boat in still water is x.} \\ And\text{ the spe}ed\text{ of stream is y.} \\ For\text{ upstream,} \\ (x-y)\times8=456 \\ x-y=57\ldots(1)_{} \\ (x+y)\times9=783 \\ x+y=87 \\ x=87-y\ldots(2) \\ \text{Now, substitute the value of x in the equation (1).} \\ 87-y-y=57 \\ -2y=57-87 \\ 2y=30 \\ y=15\text{ km/hours (rate of current)} \\ \text{Substitute the value of y in the equation (2).} \\ x=87-15 \\ x=72\text{ km/hours (boat in still water)} \end{gathered}[/tex]

In a test of the effectiveness of garlic for lowering cholesterol, 48 subjects were treated with garlic in a processed tablet form. Cholesterol levels were measured before and after the treatment. The changes (before−after) in their levels of LDL cholesterol (in mg/dL) have a mean of 5.3 and a standard deviation of 19.6. Construct a 95% confidence interval estimate of the mean net change in LDL cholesterol after the garlic treatment. What does the confidence interval suggest about the effectiveness of garlic in reducing LDL cholesterol?

Answers

1) The 95% confidence interval estimate of the mean net change in LDL cholesterol after the garlic treatment is 5.3 ± 5.6.

2) Regarding the effectiveness of garlic in reducing LDL cholesterol, the confidence interval suggests A. The confidence interval limits contain 0, suggesting that the garlic treatment did not affect the LDL cholesterol levels.

What is the confidence interval estimate?

The confidence interval estimate shows us the mean estimate plus or minus the margin of error (or variation in the estimate).

On the other hand, the margin of error is the difference between the actual and projected results in a random sample.

The number of subjects treated with garlic, n = 48

The mean changes in LDL cholesterol level = 5.3

The standard deviation = 19.6

The 95% confidence interval gives a Z-score of 1.96

The margin of error = Z-score x standard deviation/√n

= 1.96 x 19.6/√48

= 1.96 x 19.6/6.9

= 1.96 x 2.84

= 5.6

Lower Limit = Mean - Margin of Error

= 5.3 - 5.6

= -0.3

Upper Limit = Mean + Margin of Error

= 5.3 + 5.6

= 10.9

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Question Completion with Answer Options:

2. What does the confidence interval suggest about the effectiveness of garlic in reducing LDL cholesterol?

A.The confidence interval limits contain 0, suggesting that the garlic treatment did not affect the LDL cholesterol levels.

B.The confidence interval limits do not contain0, suggesting that the garlic treatment did affect the LDL cholesterol levels.

C.The confidence interval limits do not contain​0, suggesting that the garlic treatment did not affect the LDL cholesterol levels.

D.The confidence interval limits contain ​0, suggesting that the garlic treatment did affect the LDL cholesterol levels.

12*pi=pi*12Name the property that the following statement illustratesA. Identify property of multiplicationB. Associative property of multiplication C. Commutative property of additionD. Commutative property of multiplication E. Identity property of additionF. Associative property of addition

Answers

The commutative law says that we can swap the position of numbers when we add or multiply and still get the same result

The commutative property of multiplication can be expressed as

ab = ba

The commutative property of addition can be expressed as

a + b = b + a

Looking at the given expression,

12 and pi were swapped and the sign involved is multiplication. Thus, the correct option is

D. Commutative property of multiplication

Translate the sentence into an equationThe difference of Mai’s height and 13 is 53Use a variable M to represent Mai’s height

Answers

The difference in math means the result of subtracting one number from another.

m = Mai’s height

Therefore, the equation is:

[tex]m-13\text{ = 53}[/tex]

Find the cosine of angle R. Reduce the answer to the lowest terms.

Answers

Cosine formula

[tex]\cos (angle)=\frac{\text{ adjacent side}}{\text{ hypotenuse}}[/tex]

Considering angle R, the adjacent side has a length of 9 units, and the hypotenuse of the triangle has a length of 15 units. Substituting this information into the above formula:

[tex]\cos (m\angle R)=\frac{9}{15}=\frac{\frac{9}{3}}{\frac{15}{3}}=\frac{3}{5}[/tex]

a. A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips, style of car and other features. The distribution of the number of months in service for the fleet of cars is bell-shaped and has a mean of 45 months and a standard deviation of 3 months. Using the empirical rule (as presented in the book), what is the approximate percentage of cars that remain in service between 48 and 51 months?b. The physical plant at the main campus of a large state university recieves daily requests to replace fluorescent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 64 and a standard deviation of 7. Using the empirical rule (as presented in the book), what is the approximate percentage of lightbulb replacement requests numbering between 57 and 64?

Answers

In this case

[tex]\begin{gathered} 48=45+3 \\ 51=45+2(3) \end{gathered}[/tex]

Therefore, the percentage that lies between 45 and 48 is given by

[tex]\frac{68}{2}=34\text{ \%}[/tex]

And, the percentage that lies between 45 and 51 is given by

[tex]\frac{68}{2}=34\text{ \%}[/tex]

The bike you have been saving for is discounted 25%. You have $400 saved to purchase it. The original, non-discounted price of the bike is $450. There is a 5.44% sales tax added to the price of the bike. After you purchase the bike with the discount and sales tax, how much money will you have left over? Round your answer to the nearest dollar.

Answers

[tex]\$76[/tex]

1) Let's begin considering that our budget is $400.

Since the bike is discounted by 25%, we can get to know the price with this formula:

[tex]400\times(1-0.25)=\$300[/tex]

2) Note that there is an increase in the price since there are taxes to pay. The original price is taken into consideration to charge the tax. So, let's find how much we have to pay:

[tex]450\times0.0544=\$24.48[/tex]

So, let's add that to the discounted price:

[tex]\$300+\$24.48=\$324.48[/tex]

3) Since I've got $400 let's find how much is left after that purchase:

[tex]\$400-\$324.48=\$75.52\approx\$76[/tex]

Note that as requested we rounded off to the nearest dollar.

Thus, that's what's left after the purchase

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