Answer:
A. 1
Step-by-step explanation:
Since it's g(-4), we have to use the first option because that means that x is equal to less than -4.
3√x + 5
3 √-4 + 5
= 1
Answer:it will take 200 kilometers for the costs to be the same.
Step-by-step explanation:
Let x represent the number of kilometers that Andrea would have to drive for the total cost of renting from both companies to be the same.
Action trucks charges $80 for the day plus $0.22 per kilometer. It means that the total cost of x miles would be
80 + 0.22x - - - - - - - - - 1
Truck experts charges $100 for the day plus $0.12 per kilometer. It means that the total cost of x miles would be
100 + 0.12x - - - - - - - - - 2
Therefore, for the cost of renting from both companies to be the same,
80 + 0.22x = 100 + 0.12x
0.22x - 0.12x = 100 - 80
0.1x = 20
x = 20/0.1 = 200
Answer:
0.5 < x < 16.5
Step-by-step explanation:
The third side of the triangle must be longer than the difference of the other two sides:
x > (8.5 -8.0)
x > 0.5
And it must be shorter than their sum:
x < (8.5 +8.0)
x < 16.5
The third side must be in the range ...
0.5 < x < 16.5
_____
These limits are a direct consequence of the triangle inequality, which requires the sum of the two shortest sides exceed the length of the longest side.
Assuming the equation is x^2 + y^2 = 1, then that's a circle, with radius 1, centered on the origin [0,0].
So there are two tangents at x = 0. They are y = 1, and y = -1 (horizontal lines).
There is one tangent at x = 1. It is x = 1 (a vertical line).
There is no tangent at x = 35, because the original equation has no solution at x = 35.
Parameterize the part of the sphere by
with
and
. Then
So the area of
(the part of the sphere above the cone) is given by
