Answer:
The correct options are:
- g(x) is shifted three units higher than f(x).
- g(x) has a period that is half the period of f(x).
Step-by-step explanation:
We have to compare the graphs of the function:

and 
We have to select the correct options among the following:
As we know that the period of sine function is 2π.
i.e. Period of function f(x) is: 2π.
The period of sin(2 x) is π.
Hence, the period of the function g(x) function is π.
- Hence, the period of g(x) is half the period of f(x).
- Also we could observe that g(x) is shifted 3 units upward.
All angles of a triangle *always* equal to 180*. R=120 and two angles on a flat line also equal to 180. So, *180-120=60*. So *60+60+60*, all the angles of the triangle, equals to 180. So angle x=60.
Answer:
a) The algebraic notation is 4 ( x -3 ) = 4x -3
b) The algebraic notation is 2x +2
Step-by-step explanation:
<u><em>Explanation:-</em></u>
a)
Let 'x' be the number
Given 'x' is a number, subtract three
⇒ x - 3 and multiply '4'
The result of algebraic is 4 ( x -3 ) = 4x -3
b)
<em>Let 'x' be a number and add one</em>
⇒ (x+1) and then double
∴ The algebraic notation is
(x+1 ) (2) = 2x +2
T= 34
Explanation
So measure t equals measure s also since it’s a isosceles triangle!
Then we combine all the equations together and set it equal to 180 because every triangle is 180°.
3x-2 + 3x-2 + 9x+4 = 180
Now we combine like light terms
3x + 3x + 9x -2 -2 +4 = 180
15x= 180
Now that we simplify the equation we solve for x
15x/15= 180/15. Divide both sides by 15
X= 12
The problem ask what the measure of t is so we plug the 12 into the equation to find the measure
3x-2= 3(12)-2
36-2= 34
So the measure of t is 34°
I hope this helped pls mark as brainliest
Answer:
Step-by-step explanation:
<u>Given:</u>
- f(x) = x-2 and g(x) = 5x+3
<u>Find g(-4) first:</u>
- g(-4) = 5(-4) + 3 = -20 + 3 = -17
<u>Now find f(-17):</u>