Answer:

Step-by-step explanation:

Multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term.



Or, You can simply reduce the fraction with 2, which results to 1.
Hope I helped!
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Answer:
0.00175
Step-by-step explanation:
Start with a proportion, to get the number of degrees in 30 seconds:
(150 degrees / 5 seconds) = ('D' degrees / 30 seconds) .
Cross multiply the proportion: (150 x 30) = 5 x D
4,500 = 5 x D
Divide each side by 5 : 900 = D
The globe turns 900 degrees in 30 seconds.
How many rotations is that ?
Each rotation is 360 degrees.
So 900 degrees is
(900 / 360) = <em>2.5 rotations</em> in 30 seconds.
What is linear equation?
An equation between two variables that gives a straight line when plotted on a graph.
2x + 5xy - 3 = 0
x (2 + 5y) -3 = 0
x ( 2 + 5y ) = 3
2 + 5y = 3 / x
5y = (3/x) - 2
y = ( (3/x) - 2) / 5
According to the graph i don't think it's a linear equation.
Answer:
The value of a+b is 4.
Step-by-step explanation:
The given function is
![\[f(x) = \left\{ \begin{array}{cl} 9 - 2x & \text{if } x \le 3, \\ ax + b & \text{if } x > 3. \end{array} \right.\]](https://tex.z-dn.net/?f=%5C%5Bf%28x%29%20%3D%20%5Cleft%5C%7B%20%5Cbegin%7Barray%7D%7Bcl%7D%209%20-%202x%20%26%20%5Ctext%7Bif%20%7D%20x%20%5Cle%203%2C%20%5C%5C%20ax%20%2B%20b%20%26%20%5Ctext%7Bif%20%7D%20x%20%3E%203.%20%5Cend%7Barray%7D%20%5Cright.%5C%5D)
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,

For x>3,

At x=0,


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

.... (1)
At x=1,


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

.... (2)
Subtract equation (2) from equation (1).

Divide both sides by 2.

Substitute this value in equation (1).


The value of a is
and value of b is
. The value of a+b is


Therefore the value of a+b is 4.