Answer:
Step-by-step explanation:
y-|x|+3
y=|x|+3
vertex=(0,3)
y=|x-4|-7
vertex(4,-7)
Answer:
x = ±3
Step-by-step explanation:
2 = |x| - 1
Add 1 to both sides: |x| = 3
⇒ x = ±3
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
__
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
Answer:
86
Step-by-step explanation:
t = ten's digit u= one's digit
t + u = 14 t = 2u - 4
In the first equation substitute for t 2u - 4 that we find in the second equation above.
t + u = 14
2u - 4 + u = 14 Combine the u's
3u - 4 = 14 Now add 14 to both sides
3u = 18 Divide both sides by 3
u = 6. We found the unit's digit, now we will find the ten's unit by plugging in 6 for u in the first equation above.
t + u = 14
t + 6 = 14 Subtract 6 from both sides
t = 8
So, your answer is 86.