Algebra, arithmetic, reasoning.
Percentage=(9/34)×100=26.47.
Subtract 9 from both sides and divide by 3: x = (24-9)/3 = 5.
By Vieta’s formula, the sum of the roots equals the coefficient 15.
aₙ=a₁+(n−1)d=8+(8−1)×4=36.
Choose an option to check your answer.
The sum is n(n+1)/2=15, so the mean is 15/5.
Choose an option to check your answer.
There are 2 favourable outcomes out of 8 equally likely outcomes, so P(red)=2/8.
The coordinate differences are 3 and 4, so the distance is √(3²+4²)=5.
f′(x)=3x²+6x. Substituting x=4 gives 72.
f′(x)=15x²+4x. Substituting x=3 gives 147.
An antiderivative is 3/2 x²+5x. At x=4, the value is 44.0.
The dot product is 3×4+6×3=30.
Rewrite the value using base 4: 256 = 4^4. Matching exponents gives x = 4.
