Answer:
B
Step-by-step explanation:
Substitute x = h + 2 into f(x), that is
f(h + 2)
= 4(h + 2)² - 17 ← expand factor using FOIL
= 4(h² + 4h + 4) - 17 ← distribute parenthesis and simplify
= 4h² + 16h + 16 - 17
= 4h² + 16h - 1 → B
[ 4(4) x 4(3) ] / 4(5)
= [4(4+3)] / 4(5)
= 4(7) / 4(5)
= 4(7-5)
= 4(2)
Answer:
3 miles on Monday
2¹/₁₀ miles on Tuesday
3⁹/₂₀ miles on Wednesday
Step-by-step explanation:
We are told that Bonnie runs 1⅔ (⁵/₃) times as far as John each day
This means that John runs ³/₅ times as far as Bonnie.
MONDAY:
Bonnie runs 5 miles on Monday, therefore, John runs:
³/₅ * 5 = 3 miles
TUESDAY:
Bonnie runs 3½ (⁷/₂) miles on Tuesday, therefore, John runs:
³/₅ * ⁷/₂ = ²¹/₁₀ = 2¹/₁₀ miles
WEDNESDAY:
Bonnie runs 5³/₄ (²³/₄) miles on Wednesday, therefore, John runs:
³/₅ * ²³/₄ = ⁶⁹/₂₀ = 3⁹/₂₀ miles
Remember:
a^m * a^n=a^(m+n)
a^-m=1/a^m
8³ x 8⁻⁵=8³⁻⁵=8⁻²=1/8²=1/64<1
Answer: the student is not correct, because 1/64<1, and 8³ x 8⁻⁵=1/64.
