Answer:
2. option D
3. option C
4. option D
5. option C
6. option B
7. option C
8. option D
9. option C
10. option C
Step-by-step explanation:
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<h3>Hope it is helpful...</h3>
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
Answer:
492.205
$492
Step-by-step explanation:
2050/100 = ?/ 70 <- repeat four times changing 2050 to the new value.
<span>If this statement is a True or False question.
Then, TRUE. A "b" value of less than 1 produces a graph with exponential decay.
We consider this formula: y = a*b^x or f(x) =a*b^x
a is the initial value, b is the rate, x is the exponent.
If b has a value of less than 1, as the exponent increases the resulting value of y decreases.
f(x) = 20(0.90)^x
f(1) = 200(0.90)</span>¹ = 180
f(2) = 200(0.90)² = 162
f(3) = 200(0.90)³ = 145.80
f(4) = 200(0.90)⁴ = 131.22
f(5) = 200(0.90)⁵ = 118.10
Exponential decay is the decrease in a quantity. As you can see in the given example the value of f(x) decreases as the value of x increases because the value of b is less than 1.
Answer:what else you did not say a problem
Step-by-step explanation:
