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:
c<5, and c>-4.
<u>Steps used for answers:</u>
5c+3<28 =
1. Subtract 3 from both sides.
5c<28-3
2. Simplify 28-3 to 25.
5c<25
3. Divide both sides by 5.
c<25/5
4. Simplify 25/5 to 5.
c<5
-----------------------
-4c-2<14 =
1. Add 2 to both sides.
-4c<14+2
2. Simplify 14+2 to 16.
-4c<16
3. Divide both sides by -4.
c>-16/4
4. Simplify 16/4 to 4.
c>−4
<u>Done by NeighborhoodDealer</u>
Angle ADB is a right angle, which is given.
The measure of ADB is 90 degrees by definition of right angle.
The two angles are a linear pair (aka they're supplementary) by definition of linear pair (they're formed by two intersecting lines).
The measure of BDC is 90 because BDC + ADB = 180 (definition of linear pair), and ADB = 90 (given).
BDC = ADB because 90 = 90
Overall, the two triangles are congruent by SAS.
No it’s proportional on a table doe
