Answer:
rational
Step-by-step explanation:
Hey there!
ANSWER: rational
EXPLANATION:
127 is a rational number because it can be the quotient of two integers. 127/1=127. An irrational cannot be the quotient of two integers. So therefore, the number 127 is a rational.
Hope this helps :)
Answer:
$123.95
Step-by-step explanation:
Answer:
a) f(16) = 42
b) f(16) = 54
c) f(16) = 162
d) f(16) = 30
Step-by-step explanation:
a) y = mx + b ∧ m = (f(8) - f(4))/(8-4) ⇒ m = (18 - 6)/(8 - 4) = 3
b = y - mx = 6 - 3(4) = 6 - 12 = - 6
f(16) = 3(16) - 6 = 42
b) y = kxⁿ ∧ f(4) = 6 = k4ⁿ ∧ f(8) = 18 = k8ⁿ ⇒ 18/6 = (k8ⁿ)/(k4ⁿ) ⇒ 3 = 2ⁿ
n = ㏑(3) / ㏑(2) ⇒ k = y/xⁿ ⇒ k = 6/4ⁿ = 2/3
f(16) = 2/3 × 16ⁿ = 54
c) y = aeᵇˣ ∧ f(4) = 6 = aeᵇ⁴ ∧ f(8) = 18 = aeᵇ⁸ ⇒ 18/6 = (aeᵇ⁸)/(aeᵇ⁴) ⇒ 3 = e⁴ᵇ
b = ㏑(3/4) ∧ a = y / eᵇˣ ⇒ a = 6 / e⁴ᵇ = 2
f(16) = 2eᵇ¹⁶ = 162
d) y = a㏑(bx) ∧ f(4) = 6 = a㏑(b4) ∧ f(8) = 18 = a㏑(b8)
⇒ 18 - 6 = a㏑(b8) - a㏑(b4) ⇒ 12 = a㏑(8b/4b) ⇒ a = 12 / ㏑(2)
f(4) = 6 = a㏑(4b) ⇒ b = (√2)/4
f(16) = a㏑(b16) = 30
B=6a3 + 22a2 + 26a –10
C=18a3 + 10a2 + 14a – 10
D=28a3 + 14a – 10
Answer:
A is the answer
Step-by-step explanation:
The total area of the two triangles is _____ square inches.
Debbie's abstractpainting are two in numbers both having the same height. since we know the area of a triangle to be
Area = 1/2*Base*Height
Total area =Area of Triangle A+ Area of Triangle B
= 24+40
=64 square inches
Given data
Both Triangles share the same height = 8 inches
For Triangle A
Base = 6 inches
Area = 1/2 Base*Height
Area = 1/2*8*6
Area = 24 square inches
For Triangle B
Base = 10 inches
Area = 1/2 Base*Height
Area = 1/2*8*10
Area = 40 square inches
Total = 24+40
Total = 64 square inches
Learn more about area of triangle here