Drag a statement or reason for each box to complete this proof.
1 answer:
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Answer:
Positive discriminant = 2 real solution
x= -5,-40
Step-by-step explanation:
The discriminant is used to see how many solutions an equation has. If it is negative, the equation has no real solutions, if =0 the equation has 1, and if it is positive, the equation has two real solutions.
The discriminant is the part of the quadratic formula inside the square root:
Every quadratic formula has the structure:
So first, in order to meet this structure we need to add 200 to both sides so the equation is equal to 0. This gives us:
Our a=1, b=45 and c=200
Now we can substitute these values into the discriminant:
Solve:
The discriminant is a positive number which means this equation will have 2 real solution. Now we just need to plug in our values into the quadratic formula to solve this equation. Quadratic formula:
(Same discriminant value)
Now to find the two solutions, we use both signs in the equation. Solution 1:
Our first solution is -5, now for the second:
The two solution to this equation are -5 and -40.
Hope this helped!
Answer:
The salesperson called 200 people this month.
Step-by-step explanation:
Let us denote the total people that the salesperson called by a variable "x".
Then,
The ratio of successful signups(success ratio) is given as=0.625
Then total no. of successful signups is the product of the success rate and the total no. of signups ,
i.e. Total successful signups =
According to the data given in the question,
The total no. of successful signups this month =125
or ,
or,
∴x= 200
So, the salesperson called 200 people, out of which only 125 signed up.
Answer:
Step-by-step explanation:
Hello,
so the two solutions are