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torisob [31]
3 years ago
13

Under what condition the composite function of any two function is an identity function?

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
6 0

Answer:

under the condition of f(x)=x composite function is an identity one

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In a system of linear equations in two​ variables, if the graphs of the equations are the​ same, the equations are (blank) equat
makkiz [27]

Answer:

Please check the explanation.

Step-by-step explanation:

We know that when a consistent system has infinite solutions, then the graphs of the equations are exactly the same. In other words, these equations are called dependent equations.

All points of dependent equations share the same slope and same y-intercept.

For example,

6x-2y = 18

9x-3y=27

represent the dependent equations.

Writing both equations in slope-intercept form

y=mx+c

where m is the slope and c is the y-intercept

Now

6x-2y=18

2y = 6x-18

Divide both sides by 2

y = 3x - 9

Thus, the slope = 3 and y-intercept = b = -9

now

9x-3y=27

3y = 9x-27

Divide both sides by 3

y = 3x - 9

Thus, the slope = 3 and y-intercept = b = -9

Therefore, both equations have the same slope and y-intercept. Their graphs are the same. Hence, they are called dependent equations.

5 0
3 years ago
The hypotenuse of a right triangle is 9 inches long and another side is 6 inches. Find the length of the missing side. Round you
olga nikolaevna [1]
A² + b² = c²
a² = c² - b²
a² = 9² - 6²
a² = 81 - 36
a² = 45
a = √45
a ≈ 6.7082
a = 6.7
3 0
3 years ago
Daniel deposits $300 into an account that earns 16% interest annually. Which equation can be used to model his account balance,
MAVERICK [17]

Answer:

y=300(1+0.16)^x

Step-by-step explanation:

<h2>This account  can be  modeled using the compound interest formula.</h2><h2>the compound interest formula is expressed as</h2>

 A= P(1+r )^t

Where

A =final amount  = y

P=initial principal balance = $300

r=interest rate  = 16%= 0.16

t=number of time periods elapsed= x

Hence the equation to model his account balance/ final amount A (y) after time (x) years is

y=300(1+0.16)^x

5 0
3 years ago
What is the value of R
AlekseyPX

Answer:

it is voa

Step-by-step explanation:

45= 6r-3

45+3=6r

48=6r

r=8

8 0
2 years ago
Read 2 more answers
Erin received the following scores on her last four spelling tests.
Helen [10]
I'm not sure what you do with the whole numbers but 0.8 is 80% and 82% is higher than 80% so its not 0.8
4 0
3 years ago
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