Answer:
Y(n) = 7n + 23
Step-by-step explanation:
Given:
f(0) = 30
f(n+1) = f(n) + 7
For n=0 : f(1) = f(0) + 7
For n=1 : f(2) = f(1) + 7
For n=2 : f(3) = f(2) + 7 and so on.
Hence the sequence is an arithmetic progression with common difference 7 and first term 30.
We have to find a general equation representing the terms of the sequence.
General term of an arithmetic progression is:
T(n) = a + (n-1)d
Here a = 30 and d = 7
Y(n) = 30 + 7(n-1) = 7n + 23
Table:
x 0,1
y -2,0
Graph is the attached image.
The production cost is an illustration of a quadratic function
<h3>How to determine the equation</h3>
We have the following parameters:
- Computing components (a)
- Number of devices (x),
- Labor (b)
- Savings on reusable material (c)
Using the instructions in the question, the equation of the production cost would be:
Hence, the production cost is
<h3>Change the subject of the equation</h3>
In (a), we have:
Subtract bx - c from both sides
Divide through by x^2
Hence, the equation that represents the computing component is
Read more about equations and functions at:
brainly.com/question/1214333
K = (y °F – 32) ÷ 1.8 + 273.15 or K = (y °F – 32) x 5/9 + 273.15
Answer:
x=30, and angle A equals 132°.
Step-by-step explanation:
Since the angles are alternate-interior, both angles A and B equal the same amount. To figure out the value of <em>x</em>, you'd need to set up your equation like this:
5x-18°=3x+42°
You would need to solve for <em>x</em>, which should equal to 30.
Once you get your <em>x</em>, you need to plug it in into the equation of angle A, which is 5x-18°:
5(30)-18°
150-18°
Angle A = 132°.
