There are 936 girls in attendance at the concert
<h3>Solution:-</h3>
⟹( 4x + 3 )( 2x - 5 )
⟹( 4x × 2x ) - ( 4x × - 5) + ( 3 × 2x )-( 3×-5 )
⟹8x²- ( - 20x ) + 6x - ( - 15 )
⟹8x² + 20x + 6x + 15
<h3>⟹8x² + 26x + 15</h3>
Answer:
-10, 40, -240, 1,920 and -19, 200
Step-by-step explanation:
Given the recurrence relation of the sequence defined as aₙ₊₁ = -2naₙ for n = 1, 2, 3... where a₁ = 5, to get the first five terms of the sequence, we will find the values for when n = 1 to n =5.
when n= 1;
aₙ₊₁ = -2naₙ
a₁₊₁ = -2(1)a₁
a₂ = -2(1)(5)
a₂ = -10
when n = 2;
a₂₊₁ = -2(2)a₂
a₃ = -2(2)(-10)
a₃ = 40
when n = 3;
a₃₊₁ = -2(3)a₃
a₄ = -2(3)(40)
a₄ = -240
when n= 4;
a₄₊₁ = -2(4)a₄
a₅ = -2(4)(-240)
a₅ = 1,920
when n = 5;
a₅₊₁ = -2(5)a₅
a₆ = -2(5)(1920)
a₆ = -19,200
Hence, the first five terms of the sequence is -10, 40, -240, 1,920 and -19, 200
The solution to the system is (2, 1, 0).
Answer:
- a) 47.5 million
- b) 65.2 million
- c) 72 million
Step-by-step explanation:
It is convenient to let a spreadsheet or graphing calculator do the repetitive evaluation of a function like this. That simplifies the work and reduces errors.
The function is shown in the attachment written in Horner form, which is convenient for evaluation by hand or using a calculator.