The sum of the 5 terms in the arithmetic series is 40.
Step-by-step explanation:
Step 1; First we need to determine the three values between a1= -14 and a5=30. The difference between the first and fifth value = 30 - (-14) = 30 + 14 = 44.
Since there are 4 values after a1 we divide the difference by the number of terms, the difference between each term = 44 / 4 = 11. So the difference between each term is 11.
Step 2; To find out the terms we just add the difference to the previous number.
a1 = -14.
a2 = -14 + 11 = -3.
a3 = -3 + 11 = 8.
a4 = 8 + 11 = 19.
a5 = 19 + 11 = 30.
So a1 + a2 + a3 + a4 + a5 = -14 -3 + 8 + 19 + 30 = 40.
#1. x = - (2y) / (1-y)
#2. x = (-4y-3)/(1-y)
I can't really see the other questions, so I only did the first two. Hope this helps!
a) The <em>perimeter</em> function of the rectangle is 
.
b) The domain of the <em>perimeter </em>function is ![x \in [-3, 3]](https://tex.z-dn.net/?f=x%20%5Cin%20%5B-3%2C%203%5D)
.
<h3>
How to analysis the perimeter formula of a rectangle inside a parabola</h3>
a) The perimeter of a rectangle (
) is the sum of the lengths of its four sides:
(1)
If we know that 
and 
, then the perimeter of the rectangle is represented by the following formula:
The <em>perimeter</em> function of the rectangle is . 
b) The domain of the function is the set of values of 
associated to the function. After a quick inspection, we find that the domain of the <em>perimeter </em>function is .
<h3>Remark</h3>
The statement is incomplete and poorly formatted. The correct form is described below:
<em>As shown at the right, rectangle ABCD has vertices C and D on the x-axis and vertices A and B on the part of the parabola </em>
<em> that is above the x-axis. a) Express the perimeter </em><em> of the rectangle as a function of the x-coordinate of A. b) What is the domain of the perimeter function?</em>
To learn more on rectangles, we kindly invite to check this verified question: brainly.com/question/10046743
Answer:
The cost of each exercise book is 25 sh.
The cost of each pen is 8 sh.
Step-by-step explanation:
Write down the system of equations and then solve.
Best Regards!
Answer:
use the link but its answer D.
Step-by-step explanation:
