Answer:
8a+13b
Step-by-step explanation:
First start by multiplying the coefficient with the parantheses.
3(2a+3b)+2(a+2b)
6a+9b+2a+4b
8a+13b
This equation cannot be further simplified.
Answer:
Step-by-step explanation:
Hello!
Use the distributive property and multiply like terms.
<h3>Simplify</h3>
The simplified form is .
Answer:
(a) The net change of the function is 12.
(b) The average rate of change of the function 4.
Step-by-step explanation:
The average rate of change of function 
over the interval 
is given by this expression:
average rate of change = 
It is a measure of how much the function changed per unit, on average, over that interval.
Given:
(a) To find the net change of the function, first we calculate the values of 
and 
The net change is simply the difference
(b) The average rate of change takes the net change and divides it by the change in the 
value.
Answer:
C. 4.5 inches
Step-by-step explanation:
Given the following data;
Force, F = 10 pounds
Extension, e = 3 inches
First of all, we would determine the spring constant (k) using the following formula;
Force = spring constant * extension
10 = spring constant * 3
Spring constant = 10/3
Spring constant = 3.33 pounds per inches.
Next, we would find the extension of the spring when a force of 15 pounds is applied;
F = ke
15 = 3.33 * e
Extension, e = 15/3.33
Extension, e = 4.5 inches.
The two angles are verticals angles so they are congruent, so you can solve for x by writing and solving an equation
6x-82=3x-23
Combine like terms
3x=105
And simplify to get x=35
