For this case we have that by definition, the discriminant of a quadratic expression is given by:
If the discriminant is less than zero then the expression has two different complex roots.
In this case we have the following expression:
So we have to:
The discriminant is given by:
Then, if we want two complex roots it must be fulfilled that:
Thus, the expression has two complex roots for all values greater than 4.
ANswer:
Answer:
The surface area of the rectangular prism.
Step-by-step explanation:
The formula for the surface area of a rectangular prism is SA = 2 (wl + hl + hw), which actually represents the areas of each of the faces.
SA = 2wl + 2hl + 2hw
We see that the SA is the sum of the areas of the faces on a rectangular prism. Look at a picture of a rectangular prism if you have trouble understanding this.
Answer:
1145
Step-by-step explanation:
- <em>The upper bound is the smallest value that would round up to the next estimated value</em>.
Since the number was rounded to nearest ten, the upper bound is:
which rounds up to 1150 which is the next estimated value greater than 1140
Answer:
B. City P is above sea level and City R is below sea level
Step-by-step explanation:
A. City R is negative meaning it is below sea level however City Q is 0 meaning it is at sea level, so this statement is false.
C. Once again, City P is positive meaning it is above sea level but City Q is 0 meaning it is at sea level, so this statement is false.
D. Like before, City P is above sea level and City Q is at sea level not below, so this is, once again, false.