Hi there!
First we need to remember the following.
![(f + g)(x) = f(x) + g(x)](https://tex.z-dn.net/?f=%28f%20%2B%20g%29%28x%29%20%3D%20f%28x%29%20%2B%20g%28x%29)
Now substitute both of the formulas.
![(f + g)(x) = ({3}^{x} + 10x)+ (4x - 2)](https://tex.z-dn.net/?f=%28f%20%2B%20g%29%28x%29%20%3D%20%28%7B3%7D%5E%7Bx%7D%20%2B%2010x%29%2B%20%284x%20-%202%29)
Work out the parenthesis.
![(f + g)(x) = {3}^{x} + 10x + 4x - 2](https://tex.z-dn.net/?f=%28f%20%2B%20g%29%28x%29%20%3D%20%7B3%7D%5E%7Bx%7D%20%2B%2010x%20%2B%204x%20-%202)
And finally collect terms.
![(f + g)(x) = {3}^{x} + 14x - 2](https://tex.z-dn.net/?f=%28f%20%2B%20g%29%28x%29%20%3D%20%7B3%7D%5E%7Bx%7D%20%2B%2014x%20-%202)
~ Hope this helps you!
Answer:
he sum of the measures of two complementary angles is 90 degrees
Step-by-step explanation:
we know that
If two angles are complementary, then their sum is equal to 90 degrees
In this problem we have that
m∠ABD and m∠DBC are complementary
so
m∠ABD + m∠DBC=90° -----> by complementary angles
and
(m∠ABD + m∠DBC)+m∠EBC=180° -----> by a linear pair
Find the measure of angle EBC
substitute the given values
(90°)+m∠EBC=180°
∠EBC=180°-90°=90°
Answer: The most appropriate measure of center is the median.
Step-by-step explanation:
- The measure of center generally represented by 1) mean 2) median 3) mode.
- Mean is the best measure to represent the center of the data but when data have outliers it gets affected badly.
- In that case, we use the Median as the best measure of center.
The given data is 12 10,9,68,12 .
As it can be seen that, the data have extreme value 68 ( called outliers).
In this case, we will use the Median as the best measure of center.
So, the most appropriate measure of center is the median.