Answer:
The 4 t h term is f(4) = 143
Step-by-step explanation:
<em>Explanation</em>:-
Given function f(1) = -4
Given 'nth' term is f(n) = -3f(n-1) +5
Put n =2 <em> f(2) = -3 f(2-1) +5</em>
= -3 f(1) +5
= -3 (-4) +5
= 12 +5
f(2) = 17
put n= 3
f(n) = -3f(n-1) +5
<em> f(3) = -3 f(3-1) +5</em>
= -3f(2) +5
= -3(17) +5
= -51+5
f(3) = -46
Put n=4
f(n) = -3f(n-1) +5
<em> f(4) = -3f(4-1) +5</em>
<em> f(4) = -3f(3)+5</em>
f(4) = -3(-46)+5
f(4) = 138 +5
f(4) = 143
<u><em>Final answer</em></u>:-
<em>The 4 t h term is f(4) = 143</em>
Answer:
f(x)=2(\dfrac{2}{3})^x.
Step-by-step explanation:
f(x)=1/2(2)xf(x)=3/4(-1/5)xf(x)=(7/2)xf(x)=2(2/3)x
Answer:
x = 60
Step-by-step explanation:
Vertical opposite angles are formed when two straight lines intersect each other.
Given that AD and CD are two straight lines intersecting at O, the two vertical opposite formed are, ∠AOD and ∠COB. Therefore:
∠AOD = ∠COB (Vertical opposite angles are congruent)
∠AOE = 90° (right angle)
∠DOE = x
∠COF = 30°
∠BOF = 2x
m∠AOE + m∠DOE = m∠AOD (angle addition postulate)
90 + x = ∠AOD (Substitution)
m∠COF + m∠BOF = m∠COB (Angle addition postulate)
30 + 2x = ∠COB
m∠AOD = m∠COB (vertical opposite angles)
90 + x = 30 + 2x (Substitution)
Collect like terms
90 - 30 = 2x - x
60 = x
x = 60
Answer:
(A)
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let 'x' be the usage in kWh. When usage is at or under 800 kWh, the cost function C(x) is given by the base charge of $8 added to the rate of $0.05/kWh multiplied by the consumption 'x', in kWh.
Therefore, for 0 ≤ x ≤ 800, the cost function is:
