Answer:
B.) f(x) = 3(4)x − 1
Step-by-step explanation:
A) f(x) = 12(4)x
B.) f(x) = 3(4)x − 1
C.) f(x) = 4(12)x
D.) f(x) = 4(3)x − 1
Given:
f(x+1) = 4f(x)
f(2)=12
f(2) = 12
f(3) = 4f(2) = 4 * 12 = 48
f(3)=48 and f(2)=12
From f(3)=48 and f(2)=12
r=48/12
=4
r=common ratio
Recall,
f(2)=12=ar
r=4
f(2)=ar=12
a*4=12
a=12/4
a=3
an=ar^(n-1)
For x term
an=3*4(x-1)
B.) f(x) = 3(4)x − 1
Answer:
41.4
Step-by-step explanation: Since this isn't a right triangle and you're given side side side (SSS), you need the Law of Cosines.
cos(c) = (a^2 + b^2 - c^2)/2ab
(100+144-64)/2*12*10
cos(c) = 180/240
multiply both sides of the equation by cos^-1 to get ride of cos:
cos^-1(cos(c)) = cos^-1(180/240)
c = 41.4
Answer:
x
Step-by-step explanation:
Answer:
The answer to your question is 1.- (37/2, -9/2) 2.- g = 4 and h = 2
Step-by-step explanation:
Data
Equation 1 2x + 8y = 1
Equation 2 x = -3y + 5
Process
1.- Substitute equation 2 in equation 1
2(-3y + 5) + 8y = 1
Expand
-6y + 10 + 8y = 1
Solve for y
8y - 6y = 1 - 10
2y = -9
y = -9/2
2.- Substitute y in equation 2 to find x
x = -3(-9/2) + 5
Simplify
x = 27/2 + 5
x = 27/2 + 10/2
x = 37/2
Solution (37/2, -9/2)
2.-
Equation 1 6g + 8h = 40
Equation 2 -6g + 2h = -20
Process
1.- Add both equations
Result
0 + 10h = 20
Solve for h
h = 20/10
h = 2
2.- Substitute h in Equation 1 to find g
6g + 8(2) = 40
Simplification
6g + 16 = 40
Solve for g
6g = 40 - 16
6g = 24
g = 24/6
g = 4
Solution g = 4 and h = 2
Answer:
Step-by-step explanation:
2-6=-4
-4÷5x=
-0.9^X
