By applying algebraic handling on the two equations, we find the following three <em>solution</em> pairs: x₁ ≈ 5.693 ,y₁ ≈ 10.693; x₂ ≈ 1.430, y₂ ≈ 6.430; x₃ ≈ - 0.737, y₃ ≈ 4.263.
<h3>How to solve a system of equations</h3>
In this question we have a system formed by a <em>linear</em> equation and a <em>non-linear</em> equation, both with no <em>trascendent</em> elements and whose solution can be found easily by algebraic handling:
x - y = 5 (1)
x² · y = 5 · x + 6 (2)
By (1):
y = x + 5
By substituting on (2):
x² · (x + 5) = 5 · x + 6
x³ + 5 · x² - 5 · x - 6 = 0
(x + 5.693) · (x - 1.430) · (x + 0.737) = 0
There are three solutions: x₁ ≈ 5.693, x₂ ≈ 1.430, x₃ ≈ - 0.737
And the y-values are found by evaluating on (1):
y = x + 5
x₁ ≈ 5.693
y₁ ≈ 10.693
x₂ ≈ 1.430
y₂ ≈ 6.430
x₃ ≈ - 0.737
y₃ ≈ 4.263
By applying algebraic handling on the two equations, we find the following three <em>solution</em> pairs: x₁ ≈ 5.693 ,y₁ ≈ 10.693; x₂ ≈ 1.430, y₂ ≈ 6.430; x₃ ≈ - 0.737, y₃ ≈ 4.263.
To learn more on nonlinear equations: brainly.com/question/20242917
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Answer:
Becky needs approximately 3 containers to fil the vase up to 75%.
Step-by-step explanation:
In order to solve this problem we first need to calculate the volume of the container as shown below:
volume = pi*r²*h = pi*5²*10 = 250*pi = 785 cm³
Since becky wants to fill 75% of the vase capacity, she needs to fill:
goal = 2800*75/100 = 2100 cm³
Therefore Becky needs a total of
containers = goal/volume
containers = 2100/785 = 2.67
Becky needs approximately 3 containers to fil the vase up to 75%.
92% You would divide 69 by 75 then multiply by 100
Answer:
0.96 = 96% probability that at least one of them detect an enemy attack.
Step-by-step explanation:
For each radar, there are only two possible outcomes. Either it detects the attack, or it does not. The missiles are operated independently, which means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
Assume that a particular detection system has a 0.80 probability of detecting a missile attack.
This means that 
If two military radars are installed in two different areas and they operate independently, the probability that at least one of them detect an enemy attack is
This is 
when 
. So
In which
0.96 = 96% probability that at least one of them detect an enemy attack.
Answer:
1.25 laps per minute
Step-by-step explanation:
5 divided by 4 = 1.25 laps in one minute
