Polynomial equation is a equation which is formed with coefficients variables and exponents with basic mathematics operation and equality sign. The given option the option A matches correctly with the above polynomial equation which is,
Hence the option A is the correct option.
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Given information-</h3>
The given polynomial equation in the problem is,
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Polynomial equation </h3>
Polynomial equation is a equation which is formed with coefficients variables and exponents with basic mathematics operation and equality sign.
In the above polynomial equation the variable are<em> x </em>and <em>y </em>and the highest power of the variable <em>x</em> is four and highest power of the variable <em>y</em> is three.
Arrange the polynomial equation in the power of the variable <em>x. </em>Thus,
Arrange the polynomial equation in the power of the variable <em>y. </em>Thus,
From the given option the option A matches correctly with the above polynomial equation which is,
Thus the option A is the correct option.
Learn more about the polynomial equation here;
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Answer:
Step-by-step explanation:
Let A represent number of adult t-shirts and C represent number of child t-shirts.
We have been given that adults t-shirt are $5 child t-shirt are $2.50, so cost of A adult t-shirts would be 
and cost of C child t-shirts would be 
.
We have been given that Jerome need at least 200 adults t-shirt. This means the number of adult t-shirts should be greater than on equal to 200.
We can represent this information in an inequality as:
We are also told that Jerome will spend no more than $1500 on t-shirt. This means that cost of A adult t-shirts and C child t-shirts should be less than or equal to 1500.
We can represent this information in an inequality as:
Therefore, our required system of inequalities would be:
The probability of obtaining at least 1 false positive if the number of employees is 500 is 0.5
Probability
In the statistics concept, the probability refers the possible number of way of happening the particular event.
Given,
A test for a certain drug has a 0.1% probability of producing a false positive.
Here we need to find the probability of obtaining at least 1 false positive if a company hired 500 drug-free employees.
In the given question, we have the following values,
=> number of employees = 500
=> Probability of false positive = 0.1%
So, the probability of obtaining at least 1 false positive is calculated as,
=> 500 x 0.1/100
=> 5 x 0.1
=> 0.5
Therefore, the probability of obtaining at least 1 false positive is 0.5.
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Equation of a parabola with vertex at (2, -1) is
y = a(x - 2)^2 - 1
Using the given point: -3 = a(4 - 2)^2 - 1
-2 = a(2)^2
4a = -2
a = -1/2
Therefore, required equation is
y = -1/2(x - 2)^2 - 1
y = -1/2(x^2 - 4x + 4) - 1
y = -1/2x^2 + 2x - 2 - 1
y = -1/2x^2 + 2x - 3
Answer:
-31/6
Step-by-step explanation:
77+2(3x-5)=8-3(2x+1)
77+6x-10=8-6x-3
77-10+6x=8-3-6x
67+6x=5-6x
67+6x-(-6x)=5
67+6x+6x=5
67+12x=5
12x=5-67
12x=-62
x=-62/12
simplify
x=-31/6
