Given:
Consider the equation is:
Some steps of the solution are given.
To find:
The next step of the solution.
Solution:
Step 1: The given equation is:
Step 2: Simplifying right hand side.
Step 3: Simplifying left hand side.
These steps are already given. So, the next step is:
Step 4: Subtracting 3 from both sides.
Therefore, the correct option is (b).
Answer:
E. 2i√5
Step-by-step explanation:
√-20 = (√-1)(√20) = i·(2√5) = 2i√5
Answer:
6. an odd-degree polynomial function.
f(x)⇒-∞ as x⇒-∞ and f(x)⇒∞ as x⇒∞
7. Length =x+10=8+10=18 inches
Width=x=8 inches
Step by step explanation;
6. The graph represent an odd-degree polynomial function.
The graph enters the graphing box from the bottom and goes up leaving through the top of the graphing box.This is a positive polynomial whose limiting behavior is given by;
f(x)⇒-∞ as x⇒-∞ and f(x)⇒∞ as x⇒∞
7.
The area of a rectangle is given by l×w, where l is length and w is the width
Let=w=x , l=x+10 and A=144 in² then;
l×w=144
(x+10) × x = 144
x²+10x =144......................complete squares on both sides
x²+10x+25=144+25
x²+10x+25=144+25................factorize
(x+5)²=169.......................square root the right-hand side
x+5= ±√169
x+5=±13.
x+5=13⇒⇒⇒x=8
x+5=-13⇒⇒⇒x= --18
x=8 inches....................value of width should be positive
Length =x+10=8+10=18 inches
Width=x=8 inches
Answer:
<h2>
Tₙ = -3(2)ⁿ</h2>
Step-by-step explanation:
The explicit rule for determining the nth term of a geometric sequence is expressed as Tₙ = arⁿ⁻¹ where;
a is the first term of the geometric sequence
r is the common ratio
n is the number of terms
If a geometric sequence has a common ratio of 2 and the 12th term is −12,288, then;
T₁₂ = ar¹²⁻¹
T₁₂ = ar¹¹
Given T₁₂ = -12,288 and r = 2, we can calculate the first term a
-12,288 = a2¹¹
a = -12,288/2¹¹
a = -12,288/2048
a = -6
Since the explicit rule for determining the nth term of a geometric sequence is expressed as Tₙ = arⁿ⁻¹, then for the sequence given, the explicit rule will be;
Tₙ = -6(2)ⁿ⁻¹
Tₙ = -6 * 2ⁿ * 2⁻¹
Tₙ = -6 * 2ⁿ * 1/2
Tₙ = -3(2)ⁿ
Hence the explicit rule that describes this sequence is Tₙ = -3(2)ⁿ
