You will have to follow PEMDAS. Which means you will do what's in the parentheses first. 1+4=5
5^2+3*5 is your new equations.
Next you will do the exponents.
5 Squared is 25.
25+4+5
Then you will do multiplications
25+(3*5)= ?
25+15= ?
25+15= 40.
Answer:the linear equation for the fundraising goal is 8x + 12y = 240
Step-by-step explanation:
Let x represent the number of water bottles that the Environmental Club would sell.
Let x represent the number of tote bags that the Environmental Club would sell.
The Environmental Club is selling water bottles for $8 and tote bags for $12 to raise $240 to donate to charity. This means that
8x + 12y = 240
2 x 1.79 = 3.58
3.58 - 9.9 = -6.32
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