Answer:
(1,5) (-5,-4)
Step-by-step explanation:
Step-by-step explanation:
A) 3x + 8 = 23
3x = 23 - 8
3x = 15
x = 15 / 3 = 5
B) 5x + 1 = 3x + 17
5x - 3x = 17 - 1
2x = 16
x = 16 /2 = 8
C) 4 (x+2) = 32
4x + 8 = 32
4x = 32 - 8
4x = 24
x = 24 / 4 = 6
Answer: The average rate of change of Jack's investment from the third year to the fifth year is $6.43
Step-by-step explanation:
The function that defines the value of his investment after x years,
Putting the value of x as 3 and 5, we can get the value of his investment after 3 years and 5 years respectively.
You can't, the K cancels itself out. There is no solution to this
x⁸ + 48x⁷ + 1008x⁶ + 12096x⁵ + 90720x⁴ + 435456x³ + 1306368x² + 2239488x + 1679616
<u>Explanation:</u>
We know
(x+y)ⁿ = ∑ ⁿCₐxⁿ⁻ᵃyᵃ
and ⁿCₐ = n! / ( a! ) . ( n-a )!
So,
(x+6)⁸ = ⁸C₀x⁸ + ⁸C₁(x)⁸⁻¹(6)¹ + ⁸C₂(x)⁸⁻²(6)² + ⁸C₃(x)⁸⁻³(6)³ + .......+ ⁸C₈(x)⁸⁻⁸(6)⁸
= ₓ⁸ + 8x⁷ₓ 6 + 28x⁶ₓ 36 + 56x⁵ₓ 216 + 70x⁴ₓ 1296 + 56x³ₓ 7776 + 28x²ₓ 46656 + 8x . 279936 + 1679616
= x⁸ + 48x⁷ + 1008x⁶ + 12096x⁵ + 90720x⁴ + 435456x³ + 1306368x² + 2239488x + 1679616
Thus, the expansion of ( x+6)⁸ using binomial theorm is
x⁸ + 48x⁷ + 1008x⁶ + 12096x⁵ + 90720x⁴ + 435456x³ + 1306368x² + 2239488x + 1679616