Which of the following rules could represent the function shown in the table?

Answers

Answer 1

Answer:

f(x) = 2x + 1.

Step-by-step explanation:

In order to determine the function rule for the given table of values, we must start by finding the slope or the rate of change. Choose two ordered pairs from the table: (0, 1) and (1, 3).

Let (x₁, y₁) = (0, 1)

(x₂, y₂) = (1, 3)

Substitute these values into the following slope formula:

m = (y₂ - y₁)/(x₂ - x₁)

m = (3 - 1)/(1 - 0)

m = 2/1 = 2

Therefore, the slope of the function is, m = 2.

Next, we must determine the y-intercept, which is the point on the graph where it crosses the y-axis, with coordinates of (0, b ). From the given table of values, the y-intercept is (0, 1), for which its y-coordinate is the value of b = 1.

Therefore, the function rule that represents the given table of values is:

f(x) = 2x + 1.

Related Questions

if n < 0
√(n^2) = ???
thank youuuuu

Answers

Answer:

-n

Step-by-step explanation:

The symbol √ means the principal square root.

The principal square root is always non-negative.

For example, even though the number 25 has two square roots, -5 and 5, since both (-5)² and (5)² equal 25, when you express the square root using the square root symbol, then √25 = 5, and not -5, since √25 means the principal square root of 25, and as a principal square root, it must be a non-negative number.

If n < 0, then you are dealing with negative numbers.

Once you square n to get n², n² is a positive number.

Then the square root of n², expressed with the square root symbol as √(n²) must be positive, so it equals -n.

Example:

Let n = -8.

Then n² = (-8)² = 64.

√(64) = 8

Compare 8 to -8. 8 is -(-8), just like we get -n.

Answer: -n

One box is placed on a scale. A second box that is known to weigh 10 pounds less than the first box is stacked on top of the first box.

Together, the boxes weigh 48 pounds.

If w represents the weight of the first box placed on the scale, write a problem ?

Answers

Let w represents the weight of the first box placed on the scale and y represent the weight of the second box.

The second box weigh 10 pounds less than the first box. Hence:

y = w - 10

-w + y = -10 (1)

The two boxes weigh 48 pounds. hence:

w + y = 48 (2)

Solving both equations gives:

w = 29, y = 19

The first box weighs 29 pounds while the second box weighs 19 pounds.

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A watt is the basic unit measurement of electrical power. Suppose you are running the air conditioner, the washing machine, the clothing dryer, two computers, four light bulbs, the refrigerator, and two televisions Use the chart at the right and calculate how much wattage you might need in this situation. Show your k = write an inequality that shows what the available wattage must be greater than

Answers

Considerations based on the wattage of the available appliances are required when designing for the electricity.

The required wattage inequality is; Available wattage > 10,460 Watts

Reasons:

The items used and the possible power consumption obtained from a similar are as follows;

Appliance [tex]{}[/tex] Average power (Watts)

One air conditioner; [tex]{}[/tex] 3,500

Washing machine; [tex]{}[/tex] 500

Clothing dryer; [tex]{}[/tex] 5,000

Computers × 2; [tex]{}[/tex] 70 × 2 = 140

Light bulbs × 4; [tex]{}[/tex] 60 × 4 = 240

Refrigerator; [tex]{}[/tex] 600

Television × 2; [tex]{}[/tex] 240 × 2 = 480

The power, P, in watts that might be needed is found as follows;

Power, P = 3,500 + 500 + 5,000 + 140 + 240 + 600 + 480 = 10,460

The electric power in watts that might be needed, P = 10,460 Watts

Therefore;

The available wattage must be greater than 10,460 Watts

The inequality is; Available wattage > 10,460 Watts

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Soooo I’m kinda confuzzled, I have trouble simplifying decimals..does anyone mind giving a helping hand??

Answers

Answer:

65 miles per gallon.

Step-by-step explanation:

Scale it down. [tex]78:1.2 = x:1.0[/tex] or, solving for x, [tex]x= \frac{78\cdot 1.0}{1.2} = 65[/tex] miles per gallon.

Solve for the value of m

Answers

Answer:

m=37

Step-by-step explanation:

180-35=145

4m-3=145

4m=148

m=37

the answer is m=37.

solve for c.

c + 3/8 = 1 1/3

Enter your answer as a fraction in simplest form.

Answers

Answer:

Let's solve your equation step-by-step.

Step 1: Simplify both sides of the equation.

Step 2: Subtract 3/8 from both sides.

−

Answer:

Help me please????!!!

Answers

Answer:

Helene invested $700 in the 5% interest account and $500 in the 10% interest account.

Step-by-step explanation:

A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will total $26,780 . The variable costs will be $9 per book. The publisher will sell the finished product to bookstores at a price of $22 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?

Answers

Answer: 2,435

Step-by-step explanation:

trust

what part of 3 dollars are 25 nickels

Answers

Answer:

25 nickles are 5/12ths of a dollar

Step-by-step explanation:

25*5=125, or $1.25. Now we make this a fraction, we get 1.25/3, or 5/12

The 25 nickels are the 5/12 part of the 3 dollars.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We know that 1 nickel = 0.05 dollars.

Then the number of dollars in 25 nickels will be given as,

⇒ 25 x 0.05

⇒ $1.25

Divide the number 1.25 by 3. Then we have

⇒ 1.25 / 3

⇒ 5 / 12

The 25 nickels are the 5/12 part of the 3 dollars.

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what is the rate of change of the function ?

Answers

[tex]f(2) = {3}^{2 } + 4 = 13[/tex]

put it all together

[tex] \frac{247 - 13}{5 - 2} = \frac{234}{3} = 78[/tex]

What is the product in simplest form −6/11⋅3/4

Answers

A certain blueprint shows two fences. Fence A is 1 1/5 yards long but is 1 4/5 inches long on the blueprint. What is the unit rate for inches per yard on this blueprint? If the fence B is 4 yards long, how long is fence B on the blueprint?

Answers

Answer:

Q1: 3/72

Q2: 6 inches

Step-by-step explanation:

What is the unit rate for inches per yard on this blueprint?

First convert 1 1/5 yards to inches, so that becomes 216/5 inches.

To keep things consistent, let's convert the 1 4/5 inches to an improper fraction: 9/5 inches.

The question asks for inches per yard, so we substitute in the values:

[tex]\frac{\frac{9}{5} }{\frac{216}{5} }[/tex]

and simplify: 3/72

If fence B is 4 yards long, how long is fence B on the blueprint?

Convert 4 yards to inches (to comply to the ratio above): 144 inches

The ratio is inches to yards, so substitute in the value:

[tex]\frac{3}{72} = \frac{x}{144}[/tex]

and solve: 6 inches

PLEASE HELP!!! WORTH 50 PTS
6.7 Problem 12
A given bacteria culture initially contains 2500 bacteria and doubles every half hour. The number of bacteria p at a given time t is given by the formula p(t)=2500ekt for some constant k. (You will need to find k to answer the following.)

(a) Find the size of the bacterial population after 20 minutes.

(b) Find the size of the bacterial population after 9 hours.

Answers

Answer:

I think it is 392=but am not sure

How to solve absolute value inequalities.

Answers

Answer:

I cant even see anything can you reupload your answer, please?

Step-by-step explanation:

Josephine was charged $7.20 for a long distance call that lasted 1.5 hours. What was the cost per hour for her long distance call?

Answers

Based on the information given, the cost per hour for her long-distance call will be $4.80.

Amount that was charged for the call = $7.20

Number of hours used = 1.5 hours

The cost per hour for her long-distance call will be:

= Amount that was charged for the call / Number of hours used

= 7.20 / 1.5

= $4.80

In conclusion, the cost is $4.80.

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Four friends are creating posters for their presentations, which will be delivered in different locations. Which person should create the largest posters

Answers

Answer:

Lindsey, who is delivering her speech in a large auditorium

Step-by-step explanation:

Jin, who is delivering her speech to a small group sitting around a table

Lindsey, who is delivering her speech in a large auditorium

Luke, who is delivering his speech in a typical classroom

Jordan, who is delivering his speech in a small meeting room

what is the simplest form of 32/40

Answers

Answer:

4/5

Step-by-step explanation:

Answer:

4/5 or as in decimals, 0.8

Step-by-step explanation:

32/8=4

40/8=5

f(x)=5x-2 find the slope of f

Answers

Answer:

Slope = 5

Step-by-step explanation:

Standard slope intercept form: y = mx + b

where m = slope of the function

so m = 5

Hope this helps!

Solve.

x−(−256)=−15

What is the solution to the equation?

Enter your answer as a simplified mixed number in the box.

x =

Answers

Step-by-step explanation:

[tex]x - ( - 256) = - 15 \\x + 256 = - 15 \\ x = - 15 - 256 \\ x = - 271[/tex]

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