What is the unit form of 7÷4
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The equation of the function f with solution 3, -9 is x²+6x-27 and the graph of this equation with the use of drawing tools is attached below.
<h3>What is the definition of a Function?</h3>A function assigns the value of each element of one set to the other specific element of another set.
A function has to be plot which has the value of f(x) as 3 and -9. Here, 3 and -9 are the solution of the function. Thus,
x=3
x-3=0
The second solution is,
x=-9
x+9=0
Multiply both factor for the function as,
f(x)=(x-3)(x+9)
f(x)=x²+9x-3x-27
f(x)=x²+6x-27
This is the required function. The graph of this function is attached below.
Thus, the equation of the function f with solution 3, -9 is x²+6x-27 and the graph of this equation with the use of drawing tools is attached below.
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Answer:
<em>Answer below</em>
Step-by-step explanation:
<u>Arithmetic Sequences </u>
They can be identified because any term is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.
The formula to calculate the nth term of an arithmetic sequence is:
Where
an = nth term
a1 = first term
r = common difference
n = number of the term
Suppose we know the 4th term (n=4) of a sequence is 25:
Simplifying:
a1 + 3r = 25
We can choose any combination of a1 and r to satisfy the equation above.
Solving for a1:
a1 = 25 - 3r
a)
Choosing r = 3:
a1 = 25 - 3*3 = 16
The sequence is:
16, 19, 22, 25, ...
And the term rule is:
Choosing r=8
a1 = 25 - 3*8 = 1
The sequence is:
1, 9, 17, 25, ...
The term rule is:
Choosing r=-10
a1 = 25 - 3*(-10) = 25 + 30 = 55
The sequence is:
55, 45, 35, 25, ...
The term rule is: