Minimum point of an absolute value function is when f(x) = 0
0 = <span>|2x - 1|
2x</span> - 1 = 0
2x = 1
x = 1/2
Minimum point is (1/2, 0)
Answer:
1. 41/45.
2. x/(x^2+3x+6)
Step-by-step explanation:
1.
So first we fill the ven diagram.
There are 240 in band, so we fill that. 60 students are in both, we put that in the middle, and there are 110 people in choir.
now, since we want the probability that a student is chosen that is in band, and choir, and both. We add all this up
240 + 60 + 110 = 410.
The total possible outcome is 410, and the total outcome is 450, so the answer is
410/450 = 41/45
2.
First, to get the total outcomes, we have to add all the expressions together.
x(x-2) + x + 2x+8 = x^2 - 2 + x + 2x + 8 = x^2 - 2 + 3x + 8 = x^2 + 3x + 6.
Since that is the total outcome, we have to find the possible outcomes.
The problem wants BOTH from the 20th century and British, so it is x.
x/(x^2+3x+6). We cannot simplify any further, thus x/(x^2+3x+6) is our answer
Probably Just The Variable
Answer:
7.94 x 10⁸miles
Step-by-step explanation:
Given parameters:
Distance of earth from sun = 9.3 x 10⁷miles
Distance of earth from Saturn = 8.87 x 10⁸miles
Unknown:
How much further from the sun is Saturn than Earth = ?
Solution:
To find the solution to this problem, let us find the difference between their distances:
( 8.87 x 10⁸ miles - 9.3 x 10⁷ miles )
= 88.7 x 10⁷ miles - 9.3 x 10⁷ miles
= (88.7 - 9.3) x 10⁷miles
= 79.4 x 10⁷miles
= 7.94 x 10⁸miles
