A model rocket is 3 inches long. the real rocket is 120 ft long. what is the unit rate that describes the relationship of the re
2 answers:
Answer: Option C
40 ft/in
Step-by-step explanation:
We know that:
model rocket = 3 inches long
real rocket = 120 ft long
To find the unit rate that describes the relationship of the real rocket to the model rocket, you must divide the length of the real rocket by the length of the model rocket:
This means that every inch in length of the model rocket equals 40 feet of real rocket length
The answer is the option C
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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!