A recursive pattern is a sequence of numbers that entails a pattern between succeeding numbers. in this case, we can see that sequence 2 has an arithmetic difference of 9, that is the proceeding terms are 40, 49, 58.. The third one has also an arithmetic difference that is increasing by 3 each. The answer then is A which has no pattern.
Answer
Find out the total monthly charges for x cubic feet of water used .
To prove
As given
A water company charges a connection fee each month of $22 and an additional $2.30 per cubic foot of water used.
Than the equation become
Total monthly charges for x cubic feet of water used = Monthly connection fee + charges for x cubic feet of water
thus
f(x) = 22 + 2.30x
where x is the x cubic feet of water used .
Therefore Option (B) is correct i.e f(x) = 22 + 2.30x .
Answer:
40
Step-by-step explanation:
180 degrees for a triangle. We add 87 and 53 degrees.
That equals 140. Again, back to 180 degrees. We minus 180 degrees with 140 degrees which equals:
40 degrees.
Answer:
see explanation
Step-by-step explanation:
I don't have graphing facilities but can give you the vertex and 1 other point.
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = - 
y = - x² - 2x + 8 ← is in standard form
with a = - 1 and b = - 2 , then
x = - 
= - 1
Substitute x = - 1 into the equation for corresponding value of y
y = - (- 1)² - 2(- 1) + 8 = - 1 + 2 + 8 = 9
vertex = (- 1, 9 )
To obtain another point substitute any value for x into the equation
x = 0 : y = 0 - 0 + 8 , then (0, 8 ) is a point on the graph
x = 2 : y = - (2)² - 2(2) + 8 = - 4 - 4 + 8 = 0 then (2, 0 ) is a point on the graph
