Answer:
Step-by-step explanation:
You could factor this to find out how many real roots you have, but it's easier to use the rule of the discriminate. The discriminate comes from the quadratic formula:
Plug in the numbers from the quadratic and see what the value of it is. If the:
discriminate < 0, you have 2 imaginary roots
discriminate = 0, you have 1 real root, multiplicity 2 and
discriminate > 0, you have 2 real roots
Our b is 8, our a is 6 and our c is -7 (remember you have to set the polynomial equal to 0 to do this).
Because 232 is > 0, we have 2 real roots.
Answer:
x=19
Step-by-step explanation:
To find this we need to find the simplest form of y and x
Chart:
----------------------------------------------------------------------------------------------------------------Y | 45 |
X | 15 |
----------------------------------------------------------------------------------------------------------------
To find the simplest form divide both sides with their gcf which is right now 15 so divide by 15: For y 15 divided by 45 is 3, for x 15 divided by 15 is one so the graph looks like this:
----------------------------------------------------------------------------------------------------------------Y | 45 | 3 |
X | 15 | 1 |
----------------------------------------------------------------------------------------------------------------
So now we know this fact we can just divide 57 by 3
(We need to divide it to see how many times does it take for 3 to get to 57 and we can use that number to multiply it with 1 and only one since when y is 3 x is 1.)
57 divided by 3 is 19
So we multiply 19 with 1 which is 19
So x is 19
Graph:
----------------------------------------------------------------------------------------------------------------Y | 45 | 3 | 57 |
X | 15 | 1 | 19 |
----------------------------------------------------------------------------------------------------------------
Hope this helps!
Answer:
a)14 or b)74
Step-by-step explanation:
I'm assuming the question is how many combinations are there.
A) If toppings can't stack it would be 14, since there are 6 toppings for 2 pies and also you can go without toppings. or *2
B) If toppings can stack, then there can be 74 from being able to stack 6 toppings on one pizza and then two pizzas without it or (6^2)*2+2
Explanation:
By checking the table for when y=0, Jose was looking for the number of rows such that the total number of seats is zero. Jose needed to check the table for when y = 416.
Doing that, Jose would find the number of rows to be -13 or +16. He would determine that the auditorium has 16 rows of seats.
