Answer:
= - 3n
Step-by-step explanation:
There is a common difference between consecutive terms, that is
- 6 - (- 3) = - 9 - (- 6) = - 12 - (- 9) = - 3
This indicate the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 3 and d = - 3 , thus
= - 3 - 3(n - 1) = - 3 - 3n + 3 = - 3n
The n th term is - 3n
Answer:
24
Step-by-step explanation:
Split the shape into 2 so you get a triangle and a rectangle.
Find area of triangle:
1/2 x a x b = 1/2 x 3 x 4
= 6 square feet
Find area of rectangle:
b x h = 6 x 3
= 18
Add both together
18 + 6 = 24
In this type of calculations, we decompose 13 by checking the lowest powers of the base, that is 40. for example we check 40^2, or 40^3 and compare it to 85
Notice
40*40*40=64,000
so we check how many time does 85 fit into 64,000:
64,000/85=752.94
85*753=64,005; 64000-64,005=-5
this means that

thus

Answer: 10 (mod85)
Remark, the set of all solutions is:
{......-75, 10, 95, .....}, that is 85k +10
I dont understand you already answered
Answer:
see the explanation
Step-by-step explanation:
The complete question in the attached figure
Let
x ----> the number of movies
y ----> the amount of money remaining on her gift card
we know that
The slope of the linear equation is equal to the unit rate
take two points from the graph
(0,18) and (2,12)
Find the slope

---> is negative because is a decreasing function
That means -----> Each movie she rents cost her $3, so her gift card balance will decrease $3 for every movie rented
The linear equation is equal to

For y=0


so
6 is the maximum number of movies that Elyse can rent on line