1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
harina [27]
3 years ago
14

What is the function equation in function notation?

Mathematics
1 answer:
Yanka [14]3 years ago
5 0

Answer:

y= 2x +1

By direct comparison we can see that m =2 (slope) and b =1 (intercept)

Step-by-step explanation:

Assuming the following function:

y-2x =1

We want to find the following general equation for a linear model:

y = mx +b

On this case we just need to add 2x on both sides of the original equation and we got:

y= 2x +1

By direct comparison we can see that m =2 and b =1

mx + b = 2x +1

mx=2x , m =2

b =1

the value of m on this case represnt the slope and b the intercept.

The slope is defined by the following formula:

m =\frac{\Delta y}{\Delta x}

And is the interpretation is the rate of change of y respect to x, can be positive or negative. Or the increase/decrease of y when x increase 1 unit.

And the value b=1 represent the y intercept, that means if x=0 then y =1

You might be interested in
The total cost of 4 starfish was $7.20. Write and solve an equation to find how much one starfish cost.
Lyrx [107]

Answer:

$1.80

Step-by-step explanation:

4x = 7.20

x = 1.80

7 0
3 years ago
An investment made in the stock market decreased at a rate of 2.2% per year for 10 years. What is the current value of
never [62]

Answer:

$800,500 (nearest dollar)

Step-by-step explanation:

The given scenario can be modeled as an <u>exponential equation</u>.

<u>General form of an exponential function</u>:

 f(x)=ab^x

where:

  • a is the initial value (y-intercept)
  • b is the base (growth/decay factor) in decimal form
  • x is the independent variable
  • y is the dependent variable

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

The initial value (a) is the value of the investment.

Therefore, a = 1,000,000.

If the investment <u>decreases</u> by 2.2% each year, then it will be 97.8% of the previous year.

Therefore, b = 97.8% = 0.978.

Substitute these values into the formula to create a general equation for the scenario:

f(x)=1000000(0.978)^x

(where x is the time, in years).

To find the value of the investment after 10 years, substitute x = 10 into the formula:

\implies f(10)=1000000(0.978)^{10}=800500.1586

Therefore, the value of the investment after 10 years is $800,500 (nearest dollar).

Learn more about exponential functions here:

brainly.com/question/27949445

brainly.com/question/27955470

3 0
1 year ago
6) Copy and complete each sequence below.A)1,3,6,10,___,____b)8,7,5,2,____,____c)1,4,9,16,____,_____d) What is the pattern for c
Free_Kalibri [48]

Answer:

A) 15,21

B) -2,-7

C) 25,36

D) These numbers are square roots of 1,2,3,4,....

Hope this will help:)

5 0
3 years ago
Read 2 more answers
What is the sum of the interior angles of a nonagon?
SSSSS [86.1K]
To find the sum of the interior angles of a nonagon, divide it up into triangles... There are seven triangles... Because the sum of the angles of each triangle is 180 degrees... We get

7 * 180 = 1260°

So, the sum of the interior angles of a nonagon is 1260 degrees.

3 0
3 years ago
Read 2 more answers
Explain how do you know that 712 is greater than 1/3 but less than 2/3
Rudik [331]

Answer:

712 is bigger than 1/3 and 2/3.

Step-by-step explanation:

Because it is whole number, while 1/3 and 2/3 are fraction of whole number.

Did you mean 7/2?

5 0
3 years ago
Other questions:
  • Joan is filling a 2-liter soda bottle with different colors of sand to make an art project for her class. She has 1,000 millilit
    7·1 answer
  • Mia spins the spinner two times. what is the probability that the arrow will land on 2 both times
    10·1 answer
  • What do you know if x=0
    5·1 answer
  • Find JL if JK = 17 - x, KL = 2x - 7, and K is the midpoint of JL
    12·1 answer
  • The PARTNERS at Starbucks receive tips ONCE a week. The TOTAL of tips were $2.03 per hour. Create a function to find the amount
    14·1 answer
  • Jimmy has listed the amount of money in his wallet for each of the last ten days. He decides to remove day 7, as that was payday
    14·1 answer
  • Find the circumference for the circle. use 3.14 for pi
    11·2 answers
  • ,......What is, x-3&gt;7
    8·1 answer
  • Out of 36 people in a parade, 18 are wearing red, 15 are wearing blue, and 7 are wearing both red and blue. How many people were
    13·1 answer
  • What tools did the greeks use in geomatric constructions
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!