Hello!
The discriminant of quadratic functions is: b² - 4ac. Since the equation is in standard form, which is Ax² + Bx + C = 0 , we can substitute those values into our discriminant and simplify.
The value of the discriminant will tell us how many solutions there are to the given quadratic equation.
A positive discriminant will have two real solutions.
A discriminant of zero will have one real solution.
A negative discriminant will no real solutions.
1. Substitute, a = 16, b = 8, c = 1.
8² - 4(16)(1)
64 - 4(16)(1)
64 - 64(1)
64 - 64
0
Since the discriminant is zero, the answer is choice A, double root, because since it is raised to the power of 2, it must has two roots, but in this case, both of the roots the same x-values.
2x+3+132=180
2x+135=180
subtract 135 from both sides
2x=45
divide both sides by 2
x=22.5
Answer:
the answer to this question is four cups
Step-by-step explanation:
the answer is four cups/scoops because if Zacks cup can hold one cup and it requires two cups to fill each birdfeeder and there are two of them, it should take him four scoops.
The mean weight of the packages is 2.5, so the total weight of the packages is found by multiplying 2.5 pounds by 4 which is equal to 10 pounds. That is the tial weight of the four books. To find the weight of the fourth book, the three other weights are subtracted from 10 pounds:
Answer:
<h3>The given set of polynomials f(x) and g(x) are closed under subtraction.</h3>
Step-by-step explanation:
Given that the functions f ad g are defined by
and 
respectively.
<h3>To show that the set of polynomials is closed under subtraction :</h3>
Now subtract the given polynomials
∴ 
- When subtracting the polynomials the variables and their exponents remains same only variation in their coefficients.
<h3>Hence the given polynomials f(x) and g(x) are closed under subtraction.</h3>
∴ are closed under subtraction,
Hence showed.
