To find if a series is either geometric or arithmetic:
it must satisfy this property:
Arithmetic:
a(n+1) - a(n) = const
Geometric:
a(n+1)/a(n) = const
In your case:
r1 = 7 -4 = 3
r2 = 12 - 7 = 5
r1 != r2 (not arirthmetic)
Geometric check:
r1 = 7/4
r2 = 12/7
r1 != r2 (not Geometric)
so neither.
Answer:
These are the steps u need to do
3 x -2a
3x 4
Then just put 3a next to it
And add all up the variables or the ones that has an a
Step-by-step explanation:
Answer:
1 = t/45 + t/105
Step-by-step explanation:
Greg's father mow a lawn in 45 minutes that means that he mow in a rate of 1/45
Greg mow a lawn in 1 hour 45 minutes (105 minutes) that means that he mow in a rate of 1/105
If they mow a lawn in t minutes that means the rate is 1/t
Then, the rate in which they mow a lawn has to be equal to the sum of the rate individually as follows
1/t = 1/45 + 1/105
1 = t/45 + t/105
Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
• If a > 0 then vertex is minimum
• If a < 0 then vertex is maximum
Given
y = x² + 6x + 10
(a)
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² + 6x
y = x² + 2(3)x + 9 - 9 + 10
y = (x + 3)² + 1 ← in vertex form
(b)
Since a = 1 > 0 then vertex is a minimum
(c)
(h, k ) = (- 3, 1 ) ← coordinates of vertex
