What happens when a quadratic function touches the x-axis only once? It means that the quadratic function has only one real zero. So which formula should we use? How about the almighty quadratic formula?
So when does the quadratic formula give you only one real zero? When the discriminant is equal to zero!
The discriminant is: b²-4ac
In our quadratic equation that means:
b = (3+m)
a = 4
c = 1
Thus, we need to solve: (3+m)²- 4*(4)*(1) = 0
m²+ 6m + 9 - 16 = 0
m² + 6m - 7 = 0
(m+7)(m-1) = 0
m = -7, 1
That's it! Plug back in and graph to see that it actually works!
A lot depends upon your interpretation of "opposite." Do you mean "reciprocal?"
If you give the number a, the reciprocal would be 1/a. Is that what you mean?
Or do you mean "the number with opposite sign?" If you give the number b, "the number with opposite sign" would be -b.
Consider both cases. Choose a rational number (such as 7/8). Find the reciprocal of this number. Find the number with opposite sign of this number.
The answer is X is greater than -2! <3
Acceleration = (change in speed) / (time for the change) .
Change in speed = (25 m/s - 9 m/s) = 16 m/s
Time for the change = (8 sec - 5 sec) = 3 seconds
Acceleration = (change in speed) / (time for the change)
= (16 m/s) / (3 sec)
= (5 and 1/3) m/s² .
(rounded to the nearest hundredth ... 5.33 m/s² . )
Answer:
D
Step-by-step explanation:
Probability is calculated by divided the amount of something you have by the total amount. In this case, 5 red cubes by 10 total cubes to get .5. This falls into evens in your probability scale.
