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.
Answer:
106.6 %.
Step-by-step explanation:
That would be (1060- 513) / 513) * 100
= 106.6 %.
190mph
I used speed calculator with advanced mode
HTTP://www.omnicalculator.com/everyday-life/speed
Let's look at each one of the intervals.
Interval A
Interval A looks like she's going at a pretty steady pace, so Interval A is not the correct answer.
Interval B
Interval B looks like she stays at 2.5 for an hour. That looks like a traffic jam to me!
The correct answer is Interval B.
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Answer:
13 white cars
Step-by-step explanation:
Let us represent:
Number of
Red cars = x
Blue cars = y
White cars = z
Sharon has 23 toy car that are colored red, blue, and white.
x + y + z = 23
x = 4
2 fewer blue cars than red
y - 2 = x
y - 2 = 4
y = 4 + 2
y = 6
Hence,
x + y + z = 23
4 +
Number of white cars is calculated as:
23 - (6 + 4)
23 - 10
= 13 white cars
