Answer:
rule: f(n) = n³
missing numbers: 125, 216, 343, 512, 729
Step-by-step explanation:
Your familiarity with the cubes of small integers helps you recognize each of these numbers is a cube. Their sequence is the sequence of cubes of increasing natural numbers.
1 = 1·1·1 = 1³
8 = 2·2·2 = 2³
27 = 3·3·3 = 3³
64 = 4·4·4 = 4³
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The rule is ...
f(n) = n³
The cubes of 5 through 9 will complete the set of numbers ...
1, 8, 27, 64, 125, 216, 343, 512, 729
10^0 = 1
10^1 = 10
10^2 = 100
100 + 10 + 1 = 111
Answer:
97,99,101,103
Step-by-step explanation:
Let x = first odd integer
x+2 = 2nd odd integer
x+4 = 3rd odd integer
x+6 = 4th odd integer
Sum of 4 odd integers is 400
x+ (x+2) + (x+4)+(x+6) = 400
Combine like terms
4x +12 = 400
Subtract 12 from each side
4x+12-12 = 400-12
4x = 388
Divide by 4 on each side
4x/4 = 388/4
x=97
The first integer is 97
The 2nd is 97+2 =99
The third ix 97+4 = 101
The 4th is 97+6 = 103
Answer:
3x+5y+2
Step-by-step explanation:
remove the 0
<u> Equation:</u>
x(x - 5) + 3(x + 5)
<u>Steps:</u>
x(x - 5) + 3(x + 5)
<u>Expand:</u>
x(x - 5 ): x^2 - 5x
x^2 - 5x + 3(x + 5)
<u>Expand:</u>
3(x + 5): 3x + 15
x^2 - 5x + 3x + 15
<u>Add Similar Elements: </u>
-5x + 3x
= -2x
Answer x^2 - 2x + 15 Doesn't Factor
Hope that helps!!! : )