8y + 16
Used the distributive property to solve.,
Answer:
A graph shows zeros to be ±3. Factoring those out leaves the quadratic
(x-2)² +1
which has complex roots 2±i.
The function has roots -3, 3, 2-i, 2+i.
Step-by-step explanation:
Next term = 10
You add 3 to each term to get the next
1+3 = 4
4+3 = 7
7+3 = 10
etc etc
The domain of the sequence is 1,2,3,4,... basically the set of positive whole numbers. This is known as the set of natural numbers or counting numbers. We don't include 0. The domain is the set of possible inputs for 'n' in the formula mentioned below.
The range is the sequence of values shown.
The formula to generate the sequence is
an = 3n-2
as shown by these steps below
an = a1 + d(n-1)
an = 1 + 3(n-1)
an = 1+3n-3
an = 3n-2
To get any term you want, plug in a whole number for n. For example, plug in n = 4 to get...
an = 3n-2
a4 = 3*4-2
a4 = 12-2
a4 = 10
Showing that the fourth term is 10 as found earlier above.
Answer:
Option D i.e. y = 1/2 x is the correct answer.
Step-by-step explanation:
We know that when 'y' varies directly with 'x', we get the equation
y ∝ x
y = kx
where k is the constant of proportionality.
In our case, the only equation which maps in accordance with y = kx is y = 1/2x.
i.e.
y = 1/2 x
here k = 1/2
Thus, k = 1/2 is the constant of proportionality.
Therefore, option D i.e. y = 1/2 x is the correct answer.
