If a rectangle has length x and width x+3, what is the perimeter of the rectangle in terms of x?
1 answer:
Answer:
units
Step-by-step explanation:
<u>Skills needed to solve: Order of Operations, Distributive Property, Perimeter Formula, Like Terms</u>
1) To solve this problem, you need to understand the perimeter formula, and that is:
-->
P = Perimeter
L = Length
W = Width
2) Based on that, we are given that:
(since the length is x)
(since the width is x+3)
3) After that, we substitute in the values:
(with like terms and addition)
so:
Use distributive property, which is
get:
So:
Hope this helps and have a nice day!! :) :]
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Answer:
1i) nth term = 12(-b/4)^(n-1)
ii) nth term = 3(-1/9)^(n-1)
2i) Sixth term= (-3b^5)/256
ii) Eight term = -1/1594323
Question:
The complete question as found on brainly (question-10746111):
Write down the nth term of each of the following G.Ps whose first two terms are given as follows. Also find the term stated besides each G.P.
i) 12,-3b,......sixth term
ii) 3,-1/3,..........;8th term?
Step-by-step explanation:
1) To solve terms involving Geometric progressions (GPs), we would first state the variables that are to be incorporated in the formula.
i) 12,-3b,......;sixth term
1st term = a= 12
r = common ratio = 2nd term /1st term
r = -3b/12 = -b/4
Then we would find the nth term
See attachment for details
ii) 3,-1/3,..........;8th term
1st term = a= 3
r = common ratio = 2nd term /1st term
r = (-⅓)/3 = (-⅓)(⅓) = -1/9
Then we would find the nth term
See attachment for details
2) we are to determine the sixth term in (i) and eight term in (ii)
See attachment for details
Sixth term= (-3b^5)/256
Eight term = -1/1594323
a. See image of the graph attached below.
b. The relation is a function
c. The domain is: {-1, 0, 1, 2, 3, 4, 5, 6, 7}
Range is: {-4, -3, 0, 5, 12}
<h3>How to Determine if a Relation is a Function?</h3>If every x-value in a relation has exactly one y-value that corresponds to it, then the relation is a function.
A graph that has a U-shape with a minimum, that is the pointed U-shape is downwards, it means the relation has x-values that have exactly one y-value that corresponds to to it, therefore, the relation is a function.
a. To fill out the table, plug in the value of x into y = x² - 6x + 5:
When x = -1:
y = (-1)² - 6(-1) + 5 = 12
When x = 0:
y = (0)² - 6(0) + 5 = 5
When x = 1:
y = (1)² - 6(1) + 5 = 0
When x = 2:
y = (2)² - 6(2) + 5 = -3
When x = 3:
y = (3)² - 6(3) + 5 = -4
When x = 4:
y = (4)² - 6(4) + 5 = -3
When x = 5:
y = (5)² - 6(5) + 5 = 0
When x = 6:
y = (6)² - 6(6) + 5 = 5
When x = 7:
y = (7)² - 6(7) + 5 = 12
Thus, the graph has a minimum of -4.
b. The relation is a function because each x-value has exactly one y-value related to it.
c. The domain is: {-1, 0, 1, 2, 3, 4, 5, 6, 7}
Range is: {-4, -3, 0, 5, 12}
Learn more about function on:
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