Answer:
7
Step-by-step explanation:
The shelf has got 5 rows and the total number of cars is 35. We have to find the amount of car in each row.
Since there is no any other condition for the number of cars in rows (for example, it could be given that the number of cars in rows is different from each-other) we have to find the exact and the same number. Also, we bear in mind that the number of the cars has to be a full number.
The solution is 35 : 5 = 7 cars
Answer:

Step-by-step explanation:
Assuming the explicit formula is

Then f(1)=-3+2=-1
f(2)=-6+2=-4
The common difference is -4--1=-3
Then the recursive formula is given as:


Answer:
Zero
Step-by-step explanation:
Simplifying
12x + 1 = 3(4x + 1) + -2
Reorder the terms:
1 + 12x = 3(4x + 1) + -2
Reorder the terms:
1 + 12x = 3(1 + 4x) + -2
1 + 12x = (1 * 3 + 4x * 3) + -2
1 + 12x = (3 + 12x) + -2
Reorder the terms:
1 + 12x = 3 + -2 + 12x
Combine like terms: 3 + -2 = 1
1 + 12x = 1 + 12x
Add '-1' to each side of the equation.
1 + -1 + 12x = 1 + -1 + 12x
Combine like terms: 1 + -1 = 0
0 + 12x = 1 + -1 + 12x
12x = 1 + -1 + 12x
Combine like terms: 1 + -1 = 0
12x = 0 + 12x
12x = 12x
Add '-12x' to each side of the equation.
12x + -12x = 12x + -12x
Combine like terms: 12x + -12x = 0
0 = 12x + -12x
Combine like terms: 12x + -12x = 0
0 = 0
Solving
0 = 0
Couldn't find a variable to solve for.
This equation is an identity, all real numbers are solutions.
15.6 / -3 = -5.2 (positive divided by negative is negative)
Answer:
y = 14
Step-by-step explanation:
y ∝ 
=> y =
-------------(1)
<em><u>Where k is the constant of proportionality</u></em>
Now,
x = 7, y = 4
<em>Putting in (1)</em>
4 = 
So,
=> k = 28
Now y = ? when x = 2
<em>Putting x and k in (i)</em>
y = 
y = 14