Hi there!
Begin by differentiating f(x) using the power rule:
dy/dx = nxⁿ⁻¹
Therefore:
f(x) = 3x² - 5x + 10
f'(x) = 6x - 5
Set this equation equal to 0 to find the x-intercept:
0 = 6x - 5
5 = 6x
x = 5/6, which is where the graph goes from NEGATIVE to POSITIVE, so there is a MINIMUM at this value.
They are vertical angles and here’s why.
Vertical angles are a pair of opposite angles formed by intersecting lines.
Supplementary angles are two angles that equal 180 when added together.
Adjacent angles are two angles that have a common side and a common vertex.
Complementary angles are two angles that add up to 90 degrees.
Hope this helped!
The cost of 1 battery is 0.43
Step-by-step explanation:
Let the cost of 1 battery be x
We are given that the torch costs 11 times as much as the battery
Cost of torch = 11x
Total cost of 1 battery and torch = 11x+x=12x
Tim pays $10
He receives change of $4.84
Total cost of 1 torch and battery = 10 - 4.84 =$5.16
So,


Hence the cost of 1 battery is 0.43
The answer is 0.008a^3 because you would do 0.2 to the power of 3