Alex is tracking how many computers he can fix in an afternoon. He listed the number of computers fixed per hour in the following table: Hour (x) Number of Customers f(x) 1 4 2 8 3 12 Determine if these data represent a linear function or an exponential function, and give the common difference or ratio.

Answers

Answer 1
Answer:
This is a linear function because there is a common difference of 4
⇒ 2nd answer
Step-by-step explanation:
- In the linear function there is a common difference between each two
consecutive data
- In the exponential function there is a common ratio between each two
consecutive data
- Lats check the data in the data in the table
(x) === 1 ⇒ 2 ⇒ 3
f(x) === 4 ⇒ 8 ⇒ 12
∵ x has consecutive numbers 1 , 2 , 3
∵ 8 - 4 = 4
∵ 12 - 8 = 4
∴ f(x) has a common difference 4
∵ 8 ÷ 4 = 2
∵ 12 ÷ 8 = 1.5
∴ f(x) has no common ratio
∴ The table represents a linear function with common difference 4
This is a linear function because there is a common difference of 4

Related Questions

each juice bottle contains 8.6 fluid onces. how many fluid of juice are in a carton with 12 bottles

Answers

Answer:

12x8.6=103.2 fluid ounces

Step-by-step explanation:

Answer:

103.2 fluid

Step-by-step explanation:

Per - 8.6 fluid

So if 1 bottle ve 8.6 fluid we multiply by 12 to find out how much fluid there is in 12 bottles

8.6 * 12 = 103.2 fluid

The sum of the lengths of the two bases of a trapezoid is 22 cm and its area is 66 cm2.
What is the height of the trapezoid

Answers

Answer:

h = 6 cm

Step-by-step explanation:

Given that,

The area of a trapezoid, A = 66 cm²

The sum of the lengths of the two bases of a trapezoid is 22 cm.

We need to find the height of the trapezoid.

The area of a trapezium is given by :

[tex]A=\dfrac{1}{2}\times (\text{sum of parallel sides})\times \text{height}[/tex]

Substitute the values,

[tex]h=\dfrac{2A}{\text{sum of parallel sides}}\\\\h=\dfrac{2\times 66}{22}\\\\h=6\ cm[/tex]

So, the height of the trapezoid 6 cm.

A group of friends wants to go to the amusement park. They have no more than $125 to spend on parking and admission. Parking is $15, and tickets cost $12.50 per person, including tax. Write and solve an inequality which can be used to determine pp, the number of people who can go to the amusement park.

Answers

Answer:

100

Step-by-step explanation:

Which statement best describes the graphs of the lines
y=-x-3 and y=x+6
A) They are the same line.
B) They are parallel lines.
C) They intersect at exactly one point.
D) They intersect at exactly two points.

Answers

Answer:

Step-by-step explanation:

C they intersect only once  and are also perpendicular lines

Adam constructed a triangle with length of all the sides as 6 cm. what would be the measure of the angles of the triangles

Answers

Answer:

90

Step-by-step explanation:

Multiply f and 7. Then, add 10. can u put this in number form please

Answers

Answer:

f x 7 + 10

Step-by-step explanation:

When it says multiply f and 7 and add 10 that does not mean solve but for instance lets say the letter f is 5 so it would be 5 x 7 + 10

f(7) + 10 I think I did it right but I’m not sure, person above could be correct, but I’m pretty sure this is how u put it in number form.

12 + 30x

neeeeeeeeed heeeeeeeeeeeelp

Answers

Answer:42x

Step-by-step explanation:

You can’t combine them they are unlike terms

please help!! !!!!!!!!! !!111111

Answers

Answer:

268

Step-by-step explanation:

Answer:

The number that goes in the box is 268

Step-by-step explanation:

Equations

We are given an incomplete identity:

___ + 308 - 126 = 450

And it's required to fill the space with the number that makes the identity true.

Let's fill the space with a variable x:

x + 308 - 126 = 450

Solving for x implies doing inverse operations as shown on the left side.

We must add 126 and subtract 308:

x = 450 + 126 - 308

x = 268

The number that goes in the box is 268

State whether the following statement is true or false.
A function f has a local maximum at c if there is an open interval I containing c such that for all x in​ I, .
Choose the correct answer below.
A.
​True, because if f has a local maximum at​ c, then the value of f at c is greater than or equal to the values of f near c.
B.
​False, because if f has a local maximum at​ c, then the value of f at c is the smallest value of f in the domain.
C.
​True, because if f has a local maximum at​ c, then the value of f at c is the largest value of f in the domain.
D.
​False, because if f has a local maximum at​ c, then the value of f at c is less than or equal to the values of f near c.

Answers

Answer:

imma go with the answer A

Step-by-step explanation:

hope this helps

Garth has a summer job and earns $9.32 per hour. One week, he works 16 34 hours. He deposits $150 in a bank and decides to use the rest of the money to buy raffle tickets. Each raffle ticket costs $0.50. How many raffle tickets can Garth buy?

Answers

Answer:

12 tickets

Step-by-step explanation:

Earning = $9.32 per hourWork hours = 16 3/4 = 16.75

Earning in week:

$9.32*16.75 = $156.11

Remaining money after he deposits $150:

$156.11 - $150 = $6.11

How many raffle tickets can be bought:

$6.11/$0.50 = 12 and $0.11 remains

Answer:

12 tickets

Step-by-step explanation:

Pls Help ASAP
#8 only

Answers

Answer:

Domain: [tex]x\geq -8[/tex]

Range: [tex]y\geq 0[/tex]

PLZ HELP ME RIGHT NOW

Answers

Answer:

I don't know what the first one is but the answer to the second one is 4.

Step-by-step explanation:

Answer:

P= a+b+c

4 cm

Step-by-step explanation:

add all the sides

5+3=8

12-8=4

4= missing side

2x - y _> 2 and y<4
..

Answers

Answer:

2x - y _> 2 = 4 / y<4 3.2

Step-by-step explanation:

2
1
x
-5
-4 -3 -2 -1
1
2
3
4
5
1
-2
-3
-4
-5
-6
-8

Answers

Answer:

-1,123,593 i think this is you answer if it is to add, subtract, divide, and multiply.

What are at least two similarities between inequalities and equations?

Answers

Answer:

both are mathematical sentances, what you do to one side you must do to the other, goal is to isolate variable

Step-by-step explanation:

Olivia is cutting a 1 1/2m by 3/4m piece of rectangular paper into two pieces along its diagonal.

Find the area of each of the pieces

Answers

Answer:

Step-by-step explanation:

1½ m = 1.5 m

¾ m = 0.75 m

area of rectangle = 1.5×0.75 = 1.125 m²

Each piece is half the rectangle. Area of one piece = 0.5625 m²

A chef uses 2 3 cup of flour for every 1 8 cup of water in a dough recipe. If the chef follows the recipe proportions, which statement is true?

Answers

Step-by-step explanation:

A chef uses 2/3 cup of flour for every 1/8 cup of water in a dough recipe.

It means,

2/3 cup = 1/8 cup of water

[tex]1\ \text{cup}=\dfrac{\dfrac{1}{8}}{\dfrac{2}{3}}\\\\=0.1875[/tex]

Hence, the constant of proportionality is 0.1875.

Evaluate the function g(x) = -2x2 + 3x - 5 for the input values -2, 0, and 3.
9(-2) = -2(-2)2 + 3(-2) – 5
9(-2) = -2(4) - 6 - 5
g(-2) =-19
g(0) =-5
g(3) =-14

Answers

Answer:

g(-2) = -19, g(0) = -5 and g(3) = -14

Step-by-step explanation:

The given function is :

[tex]g(x) = -2x^2 + 3x - 5[/tex] ...(1)

We need to find the function when x = -2,0 and 3.

Put x = -2 in equation (1).

[tex]g(-2) = -2(-2)^2 + 3(-2) - 5\\\\=-19[/tex]

Put x = 0 in equation (1).

[tex]g(0) = -2(0)^2 + 3(0) - 5\\\\=-5[/tex]

Put x = 3 in equation (1).

[tex]g(3) = -2(3)^2 + 3(3) - 5\\\\=-14[/tex]

Hence, g(-2) = -19, g(0) = -5 and g(3) = -14

Only need the 2nd part please

Answers

Answer:

6/11

Step-by-step explanation:

(36/121)^.5 = (36^.5)/(121^.5 )= 6/11

Use the diagram and the given information to find the given length

Answers

Answer:

Let x = BC

then by given condition

[tex]\frac{x}{12} = \frac{24}{18}\\x = \frac{12*24}{18}\\x = \frac{48}{3} = 16[/tex]

Evaluate: 4 + 8 divided by 2 x ( 6 - 3 ) .

Answers

Step-by-step explanation:

4 + 8 divided by 2 * (6 - 3)

=> 12 divided by 2 * (3)

=> 12 divided by 6

=> 12/6 = 2.

The given expression 4 + 8 / 2 x (6 - 3) is equal to 16.

What is the PEMDAS rule?

PEMDAS is an acronym that stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). It is a mathematical order of operations that helps to simplify expressions and solve mathematical problems in a consistent manner. The PEMDAS rules dictate the order in which operations should be performed in an expression to ensure that the correct answer is obtained.

The given expression is,

4 + 8 / 2 x (6 - 3)

Solve by using PEMDAS rule,

4 + 8 / 2 x 3

Further solve,

4 + 4 x 3

4 + 12

16

The value of the given expression is 16.

To know more about PEMDAS rule on;

https://brainly.com/question/24086845

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A recipe calls for 2 cups of flour and 1 1/2 cup milk to make four servings. Ming has plenty of flour, but only 6 cups of milk. How many servings can he make?

Answers

the answer is 12, explanation: 1.5•3=6 then you multiply three by four to get your answer.

Please help! :) (Whoever answers first I'll give Brainlest!)

Answers

Answer:

The answer is [10+(9x3]+4 and 5x4+(7x3).

Step-by-step explanation:

I can't really explain, but if you add 10+4, it'll be 14.

If you multiply 9x3, it'll be 27.

So, if you add 27+14, it will be 41.

For the second answer:

If you also multiply 7x3, it'll be 21. If you ALSO multiply 5x4, its 20. So if you add 20+21, it will equal 41.

What is the x-intercept of the graph of y = –|x – 2|?

Answers

Answer:

The x intercept would be -2

Step-by-step explanation:

The diagram shows three straight lines.
с
110°
b
а
21
Work out the sizes of angles a, b and c.
b=
+
+

Answers

Answer:

a=21°b=70°c=89°

Step-by-step explanation:

a=21°[by vertical opposite angle]

b+110°=180°[by linear angle]

b=180°-110°=70°

a+b+c=180°[by sum of all angle]

21°+70°+c=180

91°+c=180°

c=180°- 91°

c=89°

To find the sizes of angles a, b, and c, we need to use the properties of straight lines and angles. Since angles on a straight line add up to 180 degrees, we have: Angle a = 21°, Angle b = 159°, Angle c = 159°

Angle b: We know that the sum of angles on a straight line is 180°. Angle b and angle a are on a straight line, so we can write the equation:

b + a = 180°

Given that angle a is 21°, we can now solve for angle b:

b + 21° = 180°

b = 180° - 21°

b = 159°

Angle c: Angles b and c are vertically opposite angles, which means they are equal in measure. So, we have:

c = 159°

Angle a: We already know the measure of angle a:

a = 21°

To know more about angles

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Last week, Sarah worked for 13 hours at her part time job. If she earned $143.00 for the week, how much did she earn per hour?

Answers

Answer:

11 dollars an hour.

Step-by-step explanation:

143/13=11

Which of the following is not one of the ways to represent a function?


A) Words


B) Tables


C) Domains


D) Graphs


Thank you! :D

Answers

Words, or option A.

i hope this helps (:

Answer:

It's C - Domains

Step-by-step explanation:

Evaluate (-3)(2)-7(-3)-10 in the correct order

Answers

Answer:

5

Step-by-step explanation:

(-3 * 2) - (7 * (-3)) - 10 | -6 - (- 21) -10 | -6 + 21-10 = 5.

Is this relationship a function? (1,2) (2,9) (3,-2) (4,8)?

Answers

Answer:

yes, it's a function

Step-by-step explanation:

A function relates one input to one output, and it's "only" one output.

solve the equation for y-value and choose whether it is a direct variation or inverse variation.
xy=7

a) y=7/x direct variation
b) y=x/7 direct variation
c) y=x/7 inverse variation
d) y=7/x inverse variation​

Answers

Given:

The equation is [tex]xy=7[/tex].

To find:

Whether the given equation is a direct variation or inverse variable.

Solution:

Direct variation: y is directly proportional to x.

[tex]y\propto x[/tex]

[tex]y=kx[/tex]

Inverse variation: y is inversely proportional to x.

[tex]y\propto \dfrac{1}{x}[/tex]

[tex]y=\dfrac{k}{x}[/tex]

Where, k is the constant of proportionality.

We have,

[tex]xy=7[/tex]

Divide both sides by x.

[tex]y=\dfrac{7}{x}[/tex]

It is in the form of inverse variation.

Since [tex]y=\dfrac{7}{x}[/tex] and it is inverse variation, therefore the correct option is (d).

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