First, you do the distributive property on:
4(2n+3)
You would get
8n+12
Then add the original part of the equation in (4n)
4n+8n+12
Combine like terms
12n+12 is the answer
Yes, solutions, roots, x-intercepts, and zeros are the same thing.
<h3>
What is a quadratic equation?</h3>
The general quadratic equation is given by:
a*x^2 + b*x + c = 0
So the solutions are the values of x such that the above thing is zero.
On another hand, a parabola or a quadratic function is given by:
a*x^2 + b*x + c = y
The roots, zeros, or x-intercepts (these represent the same thing) are given by:
a*x^2 + b*x + c = 0
- Zero or Root means that when you evaluate the function in that value the outcome is zero.
- X-intercept means that for that value of x, the function intercepts the x-axis, so the function is equal to zero.
So these are the values of x such that the function becomes equal to zero, so these are exactly the same thing as the solutions of a quadratic equation.
Concluding, yes, solutions, roots, x-intercepts, and zeros are the same thing.
If you want to learn more about quadratic functions, you can read:
brainly.com/question/1214333
Answer:
Area = 36 
Step-by-step explanation:
There must be an error with the statement, because it is strange that the length of the frame is equal to its thickness.
Assuming that the data supplied is correct, we can do the following procedure.
Let's call L the length of the frame.
We know how much each side of the square measures.
L = 3 inches
We also know that the thickness (s) is:
s = 3 inches.
Then the area of the frame is equal to:
Area = Perimeter * thickness
Area = 4L*s
Area = 3*4*3
Area = 36 
The distance traveled by the Salmon is proportional to the duration spent
swimming.
A table of the distance traveled by the Atlantic Salmon is presented as follows;

Reasons:
The given parameter are;
The steady rate at which Atlantic Salmon swims = 2 miles in 3 minutes
Distance the Salmon swims, d ∝ Time taken, t
Therefore;
d = s·t
Where;
s = The constant of proportionality = The speed
Which gives;

The speed with which the Atlantic Salmon swims per minute is therefore;

The distance travelled, <em>d</em>, is given as follows;

A table showing the distance travelled by the fish with time is presented as follows;

Learn more about constant of proportionality here:
brainly.com/question/11703625