If the discriminant is a positive number, there will be 2 possible solutions. If you replace the entire section of b²-4ac with 16, you will see that the equation becomes; (-b+-√16)/2a --> leading to an answer with the + and another with the -.
If the discriminant is 0, there will be 1 possible solution, (again replace this into the discriminant value) (-b)/2a ---> this formula is used to also find the x coordinates of a vertex, fyi.
If the discriminant is a negative number, there will be no solution (since squareroot of a negative number is not possible)
Hope I helped :)
It has a 0.6-mile-per-minute speed limit.
<h3>What is the distance?</h3>
Distance is defined as the product of speed and time.
Given that the distance traveled in 3 seconds is 3/100 miles.
To determine the distance it can travel in 1 minute.
We must first determine the distance traveled in 1 second in order to get the distance traveled in 1 minute.
It can cover 3/100 miles in 3 seconds.
So, in 1 second it can travel = 3/(100)(3) = 1/100 miles.
Now, We know that there are 60 seconds in a minute.
Thus, it can travel in a minute.
⇒ (1/100) × 60
⇒ 60/100
⇒ 6/10
⇒ 0.6 mile
Hence, It has a 0.6 mile per minute speed limit.
Learn more about distance here:
brainly.com/question/13269893
#SPJ1
Tape diagrams are simple. Look at the picture I put in the comments
Answer:
76.25°
Step-by-step explanation:
The solution to the differential equation is an exponential curve with a horizontal asymptote at Tm. It passes through (0, 145) and (30, 95), so the equation can be written as ...
T = 80 +65((95-65)/(145-65))^(t/30)
T = 80 +65(3/8)^(t/30)
That is, the temperature difference is reduced to 3/8 of its original value in 30 minutes.
Since the coffee in cup B cools twice as fast, it will cool to the same temperature (95°) in 15 minutes. In the next 15 minutes, the temperature difference will be reduced to (3/8)^2 of the original 80°, so will be 11.25°. That is, the temperature of cup B will be ...
11.25° +65° = 76.25°
after 30 minutes.
Answer:
3x
Step-by-step explanation:
The GCF would be 3x, if you took out 3x from those numbers you'd be left with x^2, 2x, and 5, which can't be reduced any further.
