what type of function is this?
CellFirst, a cellular company, charges each customer a monthly fee of d dollars for data usage up to x GB. For each additional GB of data that a customer uses during the month, the company charges an additional fee of
dollars.
what type of function is this?

Answer:

Smallest element in the set of range is -3

Step-by-step explanation:

From the given set of ordered pairs,

x-value of each pair represents the Domain of the relation.

y-value of the pair represents the Range of the relation.

Set of domain:

{0, 1, 2, 3, 4, 5, 6}

Set of Range:

{1, 3, 2, 5, 2, -3, 2}

Smallest number in the set of range = -3.

Therefore, smallest element in the set of range is -3.

The cost of one book is $5.25, which is the unit rate

To find the unit rate, we need to determine the cost of one book.

We can start by setting up a proportion between the number of books and the total cost. Let's call the cost of one book "x". Then, we can write:

9 books / $47.25 = 1 book / x

To solve for x, we can cross-multiply and simplify:

9x = $47.25

x = $47.25 / 9

x = $5.25

Therefore, the cost of one book is $5.25, which is the unit rate. This means that each book costs $5.25.

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Answer:

If x = $30 is the regular price of a souvenir, then the sale price for each additional souvenir will be 0.3x = 0.3($30) = $9 less than the regular price. Therefore, the sale price of each additional souvenir will be:

Sale price = Regular price - $9

Sale price = $30 - $9

Sale price = $21

Since Carmen purchases 10 souvenirs, she pays the regular price for the first souvenir and the sale price for the remaining 9 souvenirs. Therefore, the total cost for all 10 souvenirs will be:

Total cost = (Regular price for first souvenir) + (Sale price for 9 additional souvenirs)

Total cost = ($30) + ($21 x 9)

Total cost = $30 + $189

Total cost = $219

Therefore, Carmen pays $219 for 10 souvenirs during the sale.

Step-by-step explanation:

Answer:

G=15-1.25×t

or,G=1.25(12-t)

Answer:

G= 15-t1.25

Step-by-step explanation:

Answer:

380 seconds

Step-by-step explanation:

Convert 6 minutes to seconds by multiplying 6 times 60, because there are 60 seconds per minute.
6 x 60 = 360

Now add the 20 seconds.
360 + 20 = 380

6 minutes and 20 seconds are equal to 380 seconds.

Answer: Equilateral

Step-by-step explanation:

It's equilateral because it says that each side of the triangle is 4cm. In simple words, all the sides of triangle are equal. Such a triangle is called an equilateral triangle.

Hope you understood.

Answer:

i think 0

Step-by-step explanation:

if you take ten and put it into 1 pile it will be one.

but becuase you're putting 10 into 0 piles the answer will be zero

Answer:

Find the roots of (2x+6)(3x−9)=0(2x+6)(3x-9)=0 by solving for x. x=-3,3 or A

It is recommended that you visit your courses on D2L frequently, ideally at least once a day, to stay up-to-date with any new announcements or assignments posted by your instructor. This will help you stay on track with your coursework and prevent you from falling behind. Additionally, regular visits to your courses can help you participate in discussions with your peers and ask questions if you are unsure about any of the material. It's important to remember that online learning requires a high level of self-discipline and responsibility, so making a habit of checking in on your courses regularly can contribute to your overall success in the class.

Answer:

True

Step-by-step explanation:

It's true

Answer:

False ur welcome

Step-by-step explanation:

The  volume of rectangular prism is 90 unit³.

We can consider the 1 block = 1 unit.

Length of prism = 5 unit

width of prism = 6 unit

Height of prism = 3 unit

So, Volume of rectangular prism

= l w h

= 5 x 6 x 3

= 90 unit³

Thus, the volume of rectangular prism is 90 unit³.

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Answer:

1) 30 pounds is the weight of the bag all together

2) science book is the heaviest book

Step-by-step explanation:

bag=4 pounds

library book=2 pounds

maths book=2×4=8 pounds

science book=8×2=16 pounds

4+2+8+16=30 pounds all together

heaviest book= science book (16 pounds)

The gallons of ice cream 4 machines can make is 650 gallons.

Two ice cream machines make a total of 320 gallons in a certain amount of time.

Working together for the same length of time, the number of gallons of ice creams 4 machine can make can be calculated as follows:

Therefore,

If 2 ice cream machine = 320 gallons

4 ice cream machine = ?

cross multiply

Hence,

gallons of ice cream made by 4 machines = 320 × 4 / 2

gallons of ice cream made by 4 machines = 1280 / 2\

Therefore,

gallons of ice cream made by 4 machines = 640 gallons

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Answer:

12.5

Step-by-step explanation:

divide 43.75 by 3.5 to get your answer

the equation of the line tangent to the curve y at x = 3 is y = 36x - 102.  The slope of the tangent line to the curve y at x = 3 is 36.

The equation of the line tangent to the curve y at x = 3 can be written using the point-slope form of a line, which is:

y - y1 = m(x - x1)

where m is the slope of the line, (x1, y1) is a point on the line, and m and (x1, y1) are known. In this case, m = 36 and (x1, y1) = (3, y). Substituting these values into the equation above, we get:

y - y = 36(x - 3)

y = 36x - 102

So the equation of the line tangent to the curve y at x = 3 is

y = 36x - 102.

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Solving for μ and σ simultaneously gives: μ = 3.2 hours (rounded to 1 decimal place) and σ = 0.426 hours (rounded to 3 decimal places)

What is Standard Deviation ?

Standard deviation is a statistical measure that describes the amount of variation or dispersion in a set of data. It measures how spread out the data is from its mean or average.

Let the mean of the population sleep time be μ and the standard deviation be σ.

From the given information, we know that the distribution of sample means of sleep time follows a normal distribution with mean μ and standard deviation σ/√40 (since each sample size is 40).

We are also given that 5% of the sample means are less than 3 hours and 5% of the sample means are more than 3.4 hours.

Using a standard normal distribution table, we can find the corresponding z-scores for these probabilities:

P(Z < z) = 0.05 when z = -1.645

P(Z > z) = 0.05 when z = 1.645

Now we can use the formula for z-score:

z = (X'  - μ) / (σ / √n)

where X' is the sample mean, n is the sample size (which is 40 in this case).

For the lower bound, we have:

-1.645 = (3 - μ) / (σ / √40)

For the upper bound, we have:

1.645 = (3.4 - μ) / (σ / √40)

Therefore, Solving for μ and σ simultaneously gives: μ = 3.2 hours (rounded to 1 decimal place) and σ = 0.426 hours (rounded to 3 decimal places)

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Answer:

\(( - 2) + ( - 1) + ( - 5) + ( + 6) \\ = - 2 - 1 - 5 + 6 \\ = - 8 + 6 \\ = - 2 \\ thank \: you\)

The area of the poster in inches is,

⇒ A = 4 inches²

We have to given that;

A rectangular poster is 50 centimeters long and 25 centimeters wide.

Here, 1 centimeter is approximately 0.4 inches

Hence, Lenght = 50 cm

Lenght = 50 x 0.4

            = 2 inches

Width = 25 cm

          = 25 x 0.4

           = 1 inches

Thus, The area of the poster in inches is,

⇒ A = 1 x 4

⇒ A = 4 inches²

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Answer:

f⁻¹(x) = (x + 10)/2

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 2x - 10

Step 2: Rewrite

Step 3: Find Inverse

Solve for the new y.

Answer:

\(let \: the \: {f}^{ - 1}(x) \: be \: m \\ m = \frac{1}{2x - 10} \\ m(2x - 10) = 1 \\ 2x - 10 = \frac{1}{m} \\ x = \frac{1}{2m} + 5 \\ therefore \\ {f}^{ - 1} (x) = \frac{1}{2x} + 5\)

Answer:

o.6

Step-by-step explanation:

I think sorry if wrong

Answer:

B

Step-by-step explanation:

x=20*2

y=110

Fig 1 base 34

fig 2 base 34/2=17

An equation for the total cars and trucks for dealership A is: x + y = 164.

An equation for the total cars and trucks for dealership B is: 2x + 0.5y = 229.

The number of cars that dealership A sold is: 98 cars.

The number of trucks that dealership B sold is: 66 trucks.

In order to write a system of linear equations to describe this situation, we would assign variables to the number of cars sold and number of trucks sold, and then translate the word problem into an algebraic equation as follows:

Since the first dealership sold a total of 164 cars and trucks, a linear equation to model this situation is given by;

x + y = 164.

Additionally, the second dealership sold twice as many cars and half as many trucks as the first dealership, with a total of 229 cars and trucks;

2x + 0.5y = 229.

By solving the systems of linear equations simultaneously, we have:

2x + 0.5(164 - x) = 229

1.5x + 82 = 229

x = 98 cars.

For the y-value, we have;

2(98) + 0.5y = 229

0.5y = 229 - 196

y = 33/0.5

y = 66 trucks.

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Answer:

3w-18

Step-by-step explanation:

1) 3 times a number w: this means you are multiplying 3 times a number, w

2) less than: less than means subtraction, so you would subtract 18.

I really hope this helps you, I hope my explaination makes sense, and good luck with your assignment.

Answer:

1,3

Step-by-step explanation:

Answer: y=-2x+2

Step-by-step explanation:

Find the slope of the two points:

m= (4-2)/(-1-0)=-2

The y int: (0,2) which is given

The slope int form is y=mx+b: y=-2x+2

a) The value in four years is 2,207,626

b) The growth rate percent is 102.5 %

c) It would attain the value in 11 years.

We know that a function has to do with a mathematical rule that is used for the establishment of a fact. We have from the question that the function that models the car is; V = 2000000(1.025)^n

Let us recall that n has to do with the number of years.

a) In four years, the value of the car would be;

V = 2000000(1.025)^4

V = 2,207,626

b) The growth rate percent of the function can  be obtained as;

1.025 * 100 = 102.5 %

c) To obtain the year in which the value of the car would reach 2624173.32, we have;

2624173.32 = 2000000(1.025)^n

2624173.32/2000000 = (1.025)^n

1.312 = (1.025)^n

ln1.312 = n ln (1.025)

n = ln1.312 /ln (1.025)

n = 0.272/0.025

n = 11

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i hope i have been useful buddy.

good luck ♥️♥️♥️♥️♥️.

Answer:

The diagram with 15 shaded and 5 unshaded because 15/20 multiplies to 75/100 or 75%

exactly what they said