1. vertex is -4 because:
x^2-8x-20,
a=1, b=-8 , c=-20
use vertex form! -b/2a = -8/2(1) = -8/2 = -4.
2. axis of symmatry is the x which is also -4. The same steps go for the second one.
3. y intercept, I think the answer is -20. Im not sure for this one.
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Answer:
Step-by-step explanation:
Solutions, zeros, and roots of a polynomial are all the same exact thing and can be used interchangeably. When you factor a polynomial, you solve for x which are the solutions of the polynomial. Since, when you factor a polynomial, you do so by setting the polynomial equal to 0, by definition of x-intercept, you are finding the zeros (don't forget that x-intercepts exist where y is equal to 0). There's the correlation between zeros and solutions.
Since factoring and distributing "undo" each other (or are opposites), if you factor to find the zeros, you can distribute them back out to get back to the polynomial you started with. Each zero or solution is the x value when y = 0. For example, if a solution to a polynomial is x = 3, since that is a zero of the polynomial, we can set that statement equal to 0: x - 3 = 0. What we have then is a binomial factor of the polynomial in the form (x - 3). These binomial factors found from the solutions/zeros of the polynomial FOIL out to give you back the polynomial equation.
Answer:
There are 25 students in the class.
Step-by-step explanation:
Let x be the number of students in the class
12% failed and the number of students is 3
x*12% = 3
x*.12 = 3
Divide each side by .12
x * .12 /.12 = 3/.12
x =25
There are 25 students in the class
Answer:
320 milligrams of sodium
Step-by-step explanation:
Create a proportion where x is the milligrams of sodium a 20 ounce bottle has:
= 
Cross multiply and solve for x
1920 = 6x
320 = x
So, a 20 ounce bottle will have 320 milligrams of sodium
