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.
Answer: 160
Step-by-step explanation:
So here they are telling you that there are 4 twelves, a.k.a 4 groups of 12. Which means that you have to multiply 4 x 12 = 48
Then there are 7 sixteens, a.k.a 7 groups of 16.
Which also means that you have to multiply 7 x 16 = 112
Add both numbers and there you have your answer!
I hope you found my answer helpful! :)
Answer:
Step-by-step explanation:
Left
As near as I can tell, the question is x^(1/2) * x^(1/2) = The bases are the same, so all you do is add the powers.
x^(1/2 + 1/2) = x^1 which is just x.
Right
The is another one where the work is hard to show. The numerator (m) of the fraction is the power and the denominator (n) is the root. That sentence is all the work there is.
So you would write ![\sqrt[m]{x^{n} } = x^{\frac{m}{n} }](https://tex.z-dn.net/?f=%5Csqrt%5Bm%5D%7Bx%5E%7Bn%7D%20%7D%20%3D%20x%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%20%7D)
Answer:
a = -7 and b = 1. The constant term is 4
Step-by-step explanation:
In standard form, this equation is -7x^2 + x + 4 = 0
The coefficients are a = -7 and b = 1. The constant term is 4.
