Euler's formula for a polyhedron is given by:
Make E, the subject of the formula:
Put F = 20, V = 12, to obtain E,
Therefore, there are 30 edges
Answer:
a) The function is constantly increasing and is never decreasing
b) There is no local maximum or local minimum.
Step-by-step explanation:
To find the intervals of increasing and decreasing, we can start by finding the answers to part b, which is to find the local maximums and minimums. We do this by taking the derivatives of the equation.
f(x) = ln(x^4 + 27)
f'(x) = 1/(x^2 + 27)
Now we take the derivative and solve for zero to find the local max and mins.
f'(x) = 1/(x^2 + 27)
0 = 1/(x^2 + 27)
Since this function can never be equal to one, we know that there are no local maximums or minimums. This also lets us know that this function will constantly be increasing.
There are 3 bags.Each bag haves 5 pairs of socks. How many pairs of socks are there? 3x5=15
Answer:
each bottle of juice costs $2.44
Step-by-step explanation:
x=bottle of juice
2.13+3x=9.45
subtract 2.13 from each side and get 3x=7.32
divide both sides by 3
and get x=2.44
Answer:
y= -x-2
Step-by-step explanation:
y=ax+b
x= -2; y=0 => 0=-2a+b; b=2a
x= -1; y= -1 => -1=-a+b => b=a-1
2a=a-1=> a= -1; b= -2
=> y= -x-2
