what is the slope of the table below? 3/8 15/12 9/10 0/7

The value of the function f(x) at x = - 2, - 1, 0, 1 are - 4, - 1, 2, 5.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, A function f(x) = 3x + 2.

Now,

At x = - 2, f(x) = 3(-2) + 2 ⇒ f(x) = - 4.

At x = - 1, f(x) = 3(-1) + 2 ⇒ f(x) = - 1.

At x = 0, f(x) = 3(0) + 2 ⇒ f(x) = 2.

At x = 1, f(x) = 3(1) + 2 ⇒ f(x) = 5.

This can also be written in the form of ordered pairs

(- 2, - 4), (- 1, - 1), (0, 2), (1, 5).

learn more about functions here :

https://brainly.com/question/12431044

#SPJ1

Answer:

1) The null and alternative hypotheses.

H0: Hours of sleep per night is independent of age.

Ha: Hours of sleep per night is not independent of age.

Test Statistics χ²=4.009

The corresponding p-value for the test at χ²= 4.009 is 0.2604

Step-by-step explanation:

1) The null and alternative hypotheses.

H0: Hours of sleep per night is independent of age.

Ha: Hours of sleep per night is not independent of age.

2) The data is

                              ≤ 39           ≥ 40              Total

6 hours                    36               34                70

6.9-7 hours              60              57               117

7- 7.9 hours              79              77               156

8 hours or more       65              92              157

Total                       240           260             500

3) The expected values are computed as follows

260×70/500=36.4

240×117/500 =56.16

260×117/500 =60.84

240×156/500 =74.88

260×156/500 =81.12

240×157/500=75.36

260×157/500 =81.64

4) The squared distances are calculated as

{(36 - 33.6)^2}/{ 33.6} = 0.171

{(34 - 36.4)^2}{ 36.4} = 0.158

{(60 - 56.16)^2}/{ 56.16} = 0.263

{(57 - 60.84)^2}/{ 60.84} = 0.242

{(79 - 74.88)^2}/{ 74.88} = 0.227

{(77 - 81.12)^2}/{ 81.12} = 0.209

{(65 - 75.36)^2}/{ 75.36} = 1.424

{(92 - 81.64)^2}{ 81.64} = 1.315

5) The significance level is set at α=0.05 for df = (4 - 1) (2 - 1) =3

degrees of freedom.

6) The critical region for this test is χ² = χ² >7.815

7) Test Statistics

χ²=i=∑(O ij −Eij )2/Eij

=0.171+0.263+0.227+1.424+0.158+0.242+0.209+1.315

= 4.009

8) Conclusion

As the calculated value χ² =4.009 does not lie in the critical region ≤χ² =7.815, null hypothesis is not rejected.

Therefore, we conclude that there is not enough evidence to accept the alternate hypothesis , at the α=0.05 significance level.

The p-value for the test at χ²= 4.009 is 0.2604

Answer:

25.95 + 36

Step-by-step explanation:

You don't have any options so the answer I would say is 25.95 + 36, or the other way around.

Hope this helped :]

The percentage of the total finance charge on the loan that the service charge will be is about 15.65%. Option D is correct.

D. 15.56%

A loan is an item borrowed for a charged amount, such as an amount borrowed to be repaid with a specified interest fee.

The compound interest formula for the semiannual interest rate is presented as follows;

A = P·[1 + R/n]^(n·t)

Where;

P = The initial amount borrowed on loan = $15,360

t  = The interest rate on the loan = 9.58% = 0.0958

n = The number of periods in a year = 2 for semiannual interest rate

t = The duration of the loan = 8 years

The equal semi annual installment (ESI) formula is presented as follows;

[tex]ESI = P\times \dfrac{\dfrac{r}{2} \times\left(1 + \dfrac{r}{2} \right)^n }{\left(1+\dfrac{r}{2} \right)^n-1}[/tex]

Therefore;

ESI = 15360 × ((0.0958/2)×(1 + 0.0958/2)¹⁶)/((1 + 0.0958/2)¹⁶-1) ≈ 1396.16

The total amount Sam pays = 16 × 1396.16 ≈ 22338.6

The finance charge ≈ 22338.6 - 15360 = 6978.6

The percentage of the finance charge represented the service charge is therefore;

(1294.64/(6978.6 + 1294.64))×100 ≈ 15.65%

The percentage of the total finance charge represented by the service charge is therefore about 15.65%

Learn more on equal installment payment here: https://brainly.com/question/13780109

#SPJ1

Answer:

[tex]\frac{10}{56} = 0.1786[/tex] probability that Shaun loses both games

Step-by-step explanation:

Games are independent, so we find each separate probability, and multiply them.

In a chess club the probability that Shaun will beat Mike is 3/8.

So [tex]1 - \frac{3}{8} = \frac{8}{8} - \frac{3}{8} = \frac{5}{8}[/tex] probability that Shaun loses.

The probability that Shaun will beat Tim is 5/7 .

So [tex]1 - \frac{5}{7} = \frac{2}{7}[/tex] probability that Shaun loses.

What is the probability that Shaun loses both games?

This is:

[tex]p = \frac{5}{8} \times \frac{2}{7} = \frac{5*2}{8*7} = \frac{10}{56} = 0.1786[/tex]

[tex]\frac{10}{56} = 0.1786[/tex] probability that Shaun loses both games

Answer:

1.7$

Step-by-step explanation:

To solve this, first subtract the coffee from the total cost, and then divide the cost by the amount of granola bars.

So first, subtract 7$ from 24(the coffee from the total cost):

24-7

=

17

Next divide the 17$ by the 10 granola bars:

17/10

=

1.7

So we know that the answer is each granola bar cost 1.7$

Hope this helps!

Answer:

112 is your answer

Step-by-step explanation:

To calculate the surface area you have to count all of the squares. You can do this with these equations.

8 × 4 × 2 = 64

8 × 2 × 2 = 32

4 × 2 × 2 = 16

Next, add them up!

64 + 32 + 16 = 112

Answer:

-3/x-1

Step-by-step explanation:

Answer:

B. -1

Step-by-step explanation:

Edge 2021

The number of houses left to be sold is 12

There are 90 new houses built in the neighbourhood

2/5 were sold last month

2/5 × 90

= 18 × 2

= 36

1/3 of the remaining were sold this month

1/3 × 36

=12

Hence there are 12 houses left to be sold

Read more on houses here

https://brainly.com/question/14641891

#SPJ1

Answer:

the answer is 51

Step-by-step explanation:

a triangle has 180 degree in total

180-124=56

73+56+x= 180

x= 51

Answer:

51

Step-by-step explanation:

➝x+73=124

➝x=124-73

➝x=51

Answer:

To find the principal, P we can use the same formula, A=P(1+rn)nt. We have the balance of the account, A, after 6 years, $1,780.80. The interest rate, r, is 6.8% (or 0.68 as a decimal) and is compounded annually, so n=1. The time, t, is 6, since we know he opened his account 6 years ago. Plug in the known values into the formula and solve for the missing variable, P.

Step-by-step explanation:

1,780.80 = P (1+0.0681 divided 1^(6)

1,780.80= 1.484P

1,200=P         the principal amount Lex used to open his account 6 years ago

Answer:

29ft

Step-by-step explanation:

Answer:

its letter A.

[tex] \frac{2}{x + 1} [/tex]

Answer:

5 and 6

Step-by-step explanation:

We know that the square root of 36 is 6, so the square root of 35 must be between 5 and 6 as it is not a perfect square.

On solving the provided question, we can say that In still water, a family must paddle at a speed of 2.125 miles per hour.

Speed is the amount of distance traveled by an object in one unit of time when it is in motion.

Given that, a family is paddling a boat (with the current). Their average speed in relation to the riverbanks is 2.75 miles per hour. On the way back, they paddle upstream (against the current), moving toward the riverbank at an average speed of 1.5 miles per hour.

Here, Let the family's speed on still water be x and the current's speed be y. Upstream speed is calculated using the formula 1.5 = x - y - - - - (1)

2.75 downstream speed = x + y - - - - (1)

Equations 1 and 2 are solved as follows: 2x = 4.25 and x = 2.125 miles per hour In still water, a family must paddle at a speed of 2.125 miles per hour.

To know more about speed visit:
https://brainly.com/question/7359669

#SPJ1

Answer:

and do you know the answer to this one

Therefore , the solution of the given problem of expression comes out to be probably 4 slices.

In mathematics, it is possible can multiply, division, add, or remove. The construction of an expression is as follows: Expression, number, and mathematical operator Numbers, variables, and functions are the building blocks of a mathematical expression. Expressions and phrases can be contrasted.

Here,

you figure if a toaster takes about 1-2 minutes to toast a piece of bread  and a toaster usually can fit 2 slices at a time i would say 4.

Preheat oven broil to high. Move oven rack to highest position.

Place sliced bread on an ungreased baking sheet. 4 slices of bread.

Broil bread for 1 minute, or until golden brown, then flip and broil for another 20-30 seconds. ...

Top with butter, jam, or any other favorite topping!

The temperature needed for the hot ambient air in a toaster, which makes the bread turn brown, is around 310°F (146°C). The heating element inside a toaster is a nickel-chromium alloy. The electrical current that runs through it heats it to make it red hot, with a temperature of 1,100°F to 1,200°F (519°C to 566°C).

To know more about expressions visit :-

brainly.com/question/14083225

#SPJ1

Answer:

11.0325 J

Step-by-step explanation:

The formula for calculating Potential Energy is:

P.E. = mass * acceleration due to gravity * height

where mass is in kg

acceleration due to gravity is a constant at the surface of the earth = 9.8 m/sec^2

and height is in meters

Here:

P.E. = 0.75 kg * 9.8 meters/sec^2 * 1.5 meters

P.E. = 11.0325 kg*m^2/sec^2

Now kg*m^2/sec^2 = joules

so the answer is 11.0325 joules

The required potential energy of the jar is 11.0325 joules.

Potential energy is a form of stored energy that is dependent on the relationship between different system components. When a spring is compressed or stretched, its potential energy increases.

Given that,

The height of self h = 1.5 m.

The mass of cookie jar m = 0.75 kg.

To find the potential energy of jar,

Use formula of Potential Energy

Potential Energy = m × g × h

where m = mass is in kg

Ang g is gravity.

And the value of g at the surface of the earth = 9.8 m/sec²

and height is in meters

Substitute the values here,

Potential energy = 0.75 kg * 9.8 meters/sec² * 1.5 meters

Potential energy = 11.0325 kg x m²/sec²

Since, kg x m²/sec² = joules

Potential energy = 11.0325 joules.

Hence the required answer is 11.0325 joules.

To know more about Potential energy on:

https://brainly.com/question/24284560

#SPJ2

Answer:

In geometry, a polygon can be defined as a flat or

plane, two-dimensional closed shape bounded with

straight sides. It does not have curved sides. The

sides of a polygon are also called its edges. The

points where two sides meet are the vertices (or

corners) of a polygon

1. polygon with four sides is called a Quadrilateral

2. polygon with six sides is called hexagon

3. polygon with five sides is called pentagon

Hope this helps?

On solving the provided question, we can say that - the value of the given polynomials domain will be ( - infinity, 0)

The range of values a function may accept is referred to as its domain. These numbers represent the x-values of a function like f. (x). The range of values that a function may operate on is referred to as its domain. The value that the function returns following the insertion of the x value is this set. A function containing the independent variable x and the dependent variable y is said to be y = f(x). A value of x is said to be in the domain of a function f if it can be used to successfully create a single value y utilizing the value of x for that purpose.

domain will be ( - infinity, 0)

range = (-infinity, +infinity)

To know more about domain visit:

https://brainly.com/question/28135761

#SPJ1

Answer:

D

Step-by-step explanation:

3[tex]\frac{3}{8}[/tex] + 4[tex]\frac{3}{4}[/tex]  Use the common denominator of 8 Multiply [tex]\frac{3}{4}[/tex] x [tex]\frac{2}{2}[/tex]

3[tex]\frac{3}{8}[/tex] + 4[tex]\frac{6}{8}[/tex]

7[tex]\frac{9}{8}[/tex]

7 + [tex]\frac{8}{8}[/tex] + [tex]\frac{1}{8}[/tex]  Another name for [tex]\frac{8}{8}[/tex] is 1

7 + 1 + [tex]\frac{1}{8}[/tex]

8[tex]\frac{1}{8}[/tex]

Answer:

522 square feet

Step-by-step explanation:

Area is the term used to define the amount of space taken up by a 2D shape or surface. We measure area in square units : cm² or m². Area is calculated by multiplying the length of a shape by its width, so you mutiply 18 by 29 and got 522

Answer:

522

Step-by-step explanation:

Area of a rectangle = width times length

The length in this case is 29 feet, and the width is 18 feet.

29 times 18 = 522 square feet

Answer:

Its B they are structural isomers

Step-by-step explanation:

Answer:

B) They are structural isomers.

Step-by-step explanation:

Got it right on Edge :D

Answer:

Step-by-step explanation:

1) find the total candies

7 + 8 + 5 + 9 = 29

2) a probability can be expressed with a fraction whose denominator is the total candies, while the numerator represents the candies that we want to find

- red = 7/29

- blue = 8/29

- yellow = 5/29

- green = 9/29

3) compound probability

(red + blue)/29 = 15/29

(yellow + green)/29 = 14/29

(blue + yellow + green)/29 = 22/29

Answer:

-4

Step-by-step explanation:

please mark brainliest

Answer:

-4

Step-by-step explanation:

So we can start with -2 + 3, (negatives mean -, and positives mean +)

= 1

Then, 1 - 4

= -3

-3 - 1

= -4

hope this helps :)

Therefore , the solution of the given question of fractions comes out to be 5th option -3/5.

An element of a fraction or ratio is a piece of a whole. The number of equally sized pieces into which the whole has been divided is represented by the denominator b, and the number of parts that are included is represented by the numerator a. The LCM of two fractions' denominators is the least common multiple (LCD) of those denominators.

Here,

Given:

2 [tex]\frac{3}{4}[/tex], -1 [tex]\frac{3}{4}[/tex], 3/5 ,  -2 [tex]\frac{3}{4}[/tex], -3/5, -1  , [tex]\frac{3}{4}[/tex],

Therefore , by seeing the above given numbers ,

We compare above number

and we get to know ,

The 5th number 3/5, comes out to be smallest number from the following given numbers.

Therefore , the solution of the given question of fractions comes out to be 5th option -3/5.

To know more about fraction , visit

https://brainly.com/question/10354322

#SPJ1