Answer:
Option D
Step-by-step explanation:
Rate of change of a linear function between two points 
and 
is given by,
Rate of change 'm' = 
From the given table,
Rate of change of the function between (-2, 6) and (-4, 9),
Rate of change 'm' = 
m = 
Initial value = y-intercept
Let the equation of the line passing through a point (h, k) is,
y - k = m(x - h)
If a point (-2, 6) is lying on the graph of the function,
y - 6 = 
y = 
y = 
Y-intercept of the function = 3
Therefore, initial value of the function = 3
Option D is the answer.
Answer:
1. yes, both triangles sides are congruent
2. yes, they have congruent sides and they have a congruent angle
3. yes, congruent sides and angle
4. yes, 2 congruent angles
5. no, only one congruent angle not enough proof
6. yes, 2 congruent angles
7. no, only one congruent angle not enough proof
8. no, only one congruent side
Answer:
5 degree Fahrenheit.
Step-by-step explanation:
The solution of the following problem is 5 degree Fahrenheit, since it is referring to the equation <em>0+5.</em>
I hope this helped!!
~ Penny
Answer:
Option A. 5
Step-by-step explanation:
From the question given above, the following data were obtained:
First term (a) = –3
Common ratio (r) = 6
Sum of series (Sₙ) = –4665
Number of term (n) =?
The number of terms in the series can be obtained as follow:
Sₙ = a[rⁿ – 1] / r – 1
–4665 = –3[6ⁿ – 1] / 6 – 1
–4665 = –3[6ⁿ – 1] / 5
Cross multiply
–4665 × 5 = –3[6ⁿ – 1]
–23325 = –3[6ⁿ – 1]
Divide both side by –3
–23325 / –3 = 6ⁿ – 1
7775 = 6ⁿ – 1
Collect like terms
7775 + 1 = 6ⁿ
7776 = 6ⁿ
Express 7776 in index form with 6 as the base
6⁵ = 6ⁿ
n = 5
Thus, the number of terms in the geometric series is 5.
