All real numbers.
Step-by-step explanation:
Distributive property: a(b+c)=ab+ac
Expand: 4(a+2)=4a+8
Expand again: 14-2(3-2a)=4a+8
4a+8=4a+8
You subtract by 8 from both sides of an equation.
4a+8-8=4a+8-8
Simplify.
4a=4a
Then, subtract by 4a from both sides of an equation.
4a-4a=4a-4a
Finally, simplify.
4a-4a=0
0=0
True
All real numbers is the final answer.
Hope this helps you!
Have a nice day! :)
Using translation concepts, it is found that the equation that represents the graph of g(x) is:
.
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, we have that g(x) is a shift left of 2 units of f(x), hence:
More can be learned about translation concepts at brainly.com/question/4521517
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From the given data it is clear that the amplitude of the wave will be 9 inches.
It is also clear that the speed of rotation, ω, will be:
Now, it is given that the nozzle is on the right side of the tire and that position is going to be treated as the equilibrium position, the tire is then rotated such that the nozzle goes up at the beginning of the rotation. This condition is possible only when we have a Sine (Sin) function.
Thus, our final answer can be arrived as:
Thus, out of the given options, option B is the correct answer.