Answer:
b = -2
Step-by-step explanation:
We need to use <u>the binomial theorem</u>, to expand
the expression (3 + bx )⁵ :
(3 + bx )⁵ = 3⁵ + 5(3)⁴(bx)¹ + 10(3)³(bx)² + 10(3)²(bx)³ + 5(3)¹(bx)⁴ + (bx)⁵
= 243 + 5×81×(bx)¹ + 10×27×(bx)² + 10×9×(bx)³ + 5×3×(bx)⁴ + (bx)⁵
= 243 + 405(bx)¹ + 270(bx)² + 90(bx)³ + 15(bx)⁴ + (bx)⁵
= 243 + (405b)x + (270b²)x² + (90b³)x³ + (15b⁴)x⁴ + (bx)⁵
Then
(3 + bx )⁵ = 243 + (405b)x + (270b²)x² + (90b³)x³ + (15b⁴)x⁴ + (bx)⁵
Then
The coefficient of x³ in the expansion of (3 + bx )⁵ is 90b³
<u>Comparing the coefficients</u> :
90b³ = -720
Then
b³ = (-720) ÷ 90 = -8
Then
b³ = -8
Then
b = -2
Answer:
its kaitlyn because the smaller the bigger it is
Step-by-step explanation:
think of it of slices of pizza
Answer:
Subtract 3 and one-fifth from both sides of the equation
Step-by-step explanation:
Well to find n you gotta separate it.
3 1/5 + n = 9
-3 1/5
n = 5.8
<em>Thus,</em>
<em>to seperate it you subtract 3 1/5 from both sides.</em>
Answer:
2
Step-by-step explanation:
The range of class A is 5-0 = 5
The range of class B is 3-0 = 3
the difference between 3 and 5 is 2.
Answer:
18.18% of employees rode the bus to work last year
Step-by-step explanation:
This question can be solved using a rule of three.
Last year, a proportion of x employees riding the bus was 100% = 1.
This year, 20% = 0.2 ride the bus, which is 100 + 10 = 110% = 1.1 of last year.
So
0.2 - 1.1
x - 1
0.1818*100 = 18.18%
18.18% of employees rode the bus to work last year
