Answer:
D
Step-by-step explanation:
f(1/2)=-8(1/2)+4 = 0
According to the information given, the parabolic equation which describes the path of the water from the hose to the top of her plants is:
- The coefficients are .
<h3>What is the equation of a parabola?</h3>
The<em> equation of a parabola</em>, of vertex (h,k), is given by:
In this problem:
- The highest point the water reached was 8 feet, and it landed on the plants 10 feet from where she was standing, hence the vertex is (10,8), that is, .
Then:
Both the nozzle of the hose and the top of the flowers were 4 feet above the ground, hence point (4,4), when is part of the function, which is used to find a.
Hence, the equation is:
You can learn more about equation of a parabola at brainly.com/question/26144898
Answer:
Step-by-step explanation:
Given
Let d represents the event that a radar detects an aircraft.
So:
Required: Determine the probability that a radar detects three before it fails to detect 1.
This event is represented as: d d d d'
And the probability is calculated as thus:
Using complement rule:
So, we have:
Answer:
3log2+log3+logx
Step-by-step explanation:
log8(3x) can be written as log(8•3x)
Log laws says that log(ab)=log(a)+log(b)
So log (8•3•x)=log8+log3+logx
log8 can be written into prime factorization of log(2^3) and by more log laws that can be written as 3log2
By definition:
- If a system has at least one solution, it's said to be consistent.
- If a system has exactly one solution, it's independent.
- If a system has infinite solutions, it's dependent
- If a system has no solutions, it's inconsistent.
Your system has exactly one solution (the two lines represent the two equations, and the point where they meet is the solution of the system), and so it is consistent, and in particular independent.