The average rate of change of a function in the interval
is defined as
So, in your case, we have
Please help. Is algebra. PLEASE HELP NO LINKS OR FILES. I don't want links.
1 answer:
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there are two expressions that can represent the length of the rectangle, these two expressions are:
L = x
or
L = (4x + 12)
<h3>Which expression could represent the length of the rectangle?</h3>
Remember that for a rectangle of length L and width W, the area is given by:
A = L*W
In this case, we know that the area is:
We can factorize that expression into:
So there are two expressions that can represent the length of the rectangle, these two expressions are:
L = x
or
L = (4x + 12)
If you want to learn more about rectangles:
#SPJ1
Answer:
n = 14
Step-by-step explanation:
Write the equation in algebraic (numbers and symbols) form
= n + 3 Rearrange the equation
= n(n + 3) Multiply both sides by 'n'
238 = n(n + 3) On the left, multiplying and dividing by 'n' cancels out
238 = n² + 3n Distributed right side
0 = n² + 3n - 238 Rearranged to standard form for quadratic equations
Remember standard form for quadratic equations is: ax² + bx + c = 0
State the variables a, b and c:
a = 1; b = 3; c = -238
When a quadratic equation is in standard form, you can <u>use the quadratic formula</u> to solve for 'n'. (Usually, you see the variable 'x', but the quadratic formula can solve for 'n' as if it is 'x', as long as it's in standard form.)
(ignore the Â, it's a formatting error)
Substitute the values for 'a', 'b' and 'c' from the equation
In the root, two negatives make a positive
Add inside the root
Find the square root of 961
Split the equation at the ±
Split for adding:
Simplify
n = 14
Split for subtracting:
Simplify
n = -17
You get the answers 14 and -17 for 'n'. Decide which one is 'inadmissible', meaning it can't be right even if it solves the equation.
The problem says 'n' is a natural number. <u>Natural numbers are all non-partial numbers count up from 1.</u> (Non-partial means as a fraction, they are reduced to a number over 1). Since -17 is less than 1, it is inadmissible because it is not a natural number.
Therefore, 'n' is 14.