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3 years ago

11

Thank you if you can help

1 answer:

finlep [7]3 years ago

7 0

It answer is perfect

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Will give brainliest if u help

barxatty [35]

Answer:

do you mind showing a more clear photo of the question?

Step-by-step explanation:

7 0

3 years ago

For some constants a and b let \[f(x) = \left\{ \begin{array}{cl} 9 - 2x & \text{if } x \le 3, \\ ax + b & \text{if } x

Viktor [21]

Answer:

The value of a+b is 4.

Step-by-step explanation:

The given function is

$f(x) = \left\{ \begin{array}{cl} 9 - 2x & \text{if } x \le 3, \\ ax + b & \text{if } x > 3. \end{array} \right.$

It is given that for some constants a and b the function f has the property that f(f(x))=x for all x.

For x≤3,

$f(x)=9-2x$

For x>3,

$f(x)=ax+b$

At x=0,

$f(0)=9-2(0)=9$

$f(f(0))=f(9)\Rightarrow a(9)+b=9a+b$

Using property f(f(x))=x,

$f(f(0))=0$

$9a+b=0$ .... (1)

At x=1,

$f(1)=9-2(1)=7$

$f(f(1))=f(7)\Rightarrow a(7)+b=7a+b$

Using property f(f(x))=x,

$f(f(1))=1$

$7a+b=1$ .... (2)

Subtract equation (2) from equation (1).

$9a+b-(7a+b)=0-1$

$2a=-1$

Divide both sides by 2.

$a=-\frac{1}{2}$

Substitute this value in equation (1).

$9(-\frac{1}{2})+b=0$

$b=\frac{9}{2}$

The value of a is $-\frac{1}{2}$ and value of b is $\frac{9}{2}$ . The value of a+b is

$a+b=-\frac{1}{2}+\frac{9}{2}$

$a+b=4$

Therefore the value of a+b is 4.

5 0

3 years ago

1. One number is twice another number. If 12 is subtracted from the larger number, the result is 7 more than the smaller number.

kompoz [17]

Answer:

20 30 40 74

Step-by-step explanation:

i don't know sorry

5 0

3 years ago

Write a real world situation that could be modeled by the equation 500+250x=300x

Sonbull [250]

500+250x=300x
-250x=-250x
500=50x
To get the 50 away from the x you got to divide by 50 on both sides
500/50
Answer is 10=x

4 0

3 years ago

Two times the sum of nine and a number is the opposite of 9.<br> Write an equation and solve.

MrMuchimi

- - 2*-9x

This is because you have "two times" which is 2*

The sum of a number = x

Opposite of 9 = -9

8 0

4 years ago