Answer:
The three numbers are 7 8 and 9
Step-by-step explanation:
Givens
- Let the first number be n - 1
- Let the second number be n
- Let the third number = n + 1
Equation
(n - 1)(n)(n + 1) - (n-1 + n + n+1) = 480
Solution
Multiply (n - 1) and (n + 1) = (n - 1)*(n + 1) = n^2 - 1
Multiply the second integer by the result of the first and third: n (n^2 - 1)
Add the three integers together: (x - 1) + (n - 1) + n = 3n Combine these 2 steps
n(n^2 - 1) - 3n = 480 Remove the brackets
n^3 - n - 3n = 480
n^3 - 4n = 480
n^3 - 4n - 480 = 0
Graph
The graph shows that the intercept point is n =8. This is the only way I can see to solve this cubic. There are no other real roots.
Answer
n - 1 = 7
n = 8
n + 1 = 9
Check
Product 7*8*9 = 504
Sum = 7 + 8 + 9 = 24
504 - 24 = 480 Which checks.
9514 1404 393
Answer:
y = 7
Step-by-step explanation:
The slope is ...
m = (7 -7)/(0 -4) = 0
The y-intercept is the point (0, 7), so the slope-intercept equation is ...
y = mx +b
y = 0·x +7
Simplifying this puts it in standard form:
y = 7
Answer:
Graph
Step-by-step explanation:
Answer:
The coefficient is -9
Step-by-step explanation:
The coefficient is the number that is multiplied by a variable and is always located before the variable.