Answer:
D) 
Step-by-step explanation:
Given: 
Use Exponent Rule: 
Use Addition Rule: 
Answer C is the right answer.
Step-by-step explanation:
h(x) = f(x) * g(x)
h(x) = (2*3^x ) * ( 3*3^2x )
2 * 3 is easy, that will be 6.
The ground number 3 remains 3 in h(x), so that is easy too...
But with multiplying exponents, you can add them.
Let's concentrate only on the exponents of f(x) and g(x)... and add them...
x + 2x =3x
So, now combine the easy part with this new exponent, and you get <u>h(x)</u><u> </u><u>=</u><u> </u><u>6</u><u>*</u><u>(3)^(3x)</u>
<u>So</u><u> </u><u>answer C is the right answer.</u>
Answer:

Step-by-step explanation:
To find x, the following equation is generated given the available information:



Cross multiply


Collect like terms



Answer:
The provided study is an experiment.
Step-by-step explanation:
Consider the provided information.
Observational study: In this study observer only observe the subjects, and measure variables of interest without allocating treatments to subjects.
For example: you want to examine the side effect of smoke on lung.
Experiment study:The researchers are applying treatments to experimental units in the research, then the effect of the treatments on the experimental units is observed.
For example: Flipping a coin
Now consider the provided information:
Thirty university students are divided into two groups. One group receives free tutoring in mathematics comma the other doesn't. After one semester comma scores on final mathematical examinations are compared.
Here, the researcher applying treatment to experimental units.
Thus, the provided study is an experiment.