Answer:
Option D. two complex roots
Step-by-step explanation:
we know that
In a quadratic equation of the form 
the discriminant D is equal to
in this problem we have
so
substitute the values
The discriminant is negative
therefore
The quadratic equation has two complex roots
Answer:
a) No Unique solution
b) No Unique solution
c) No unique solution
Step-by-step explanation:
The step by step explanation is as shown in the attachment below
Step-by-step explanation:
x =7y ----(1)
xy=252 ----(2)
(1) into (2):
(7y)(y) = 252
7y=15.874....
y=2.27
y value into (1)
x= 7(2.268)
x=15.87
the two numbers are 15.87 and 2.27 (Ans)
Answer:
6 miles
Step-by-step explanation:
If the city bus goes 18 miles in 30 minutes, divide 18 by 3 to get how far it travels in 10 minutes.
18 ÷ 3 = 6.
The city bus travels 6 miles in 10 minutes.
2 2/3 - 3/5
First, we can start by changing 2 2/3 to an improper fraction. To do this, we can use the rule: a b/c = ac+b/c. All we need to do is insert our numbers into the form of the rule.
Second, we can now start simplifying. (2 × 3 = 6 and 6 + 2 = 8).
Third, now we have change our denominators to be the same. To do this, we can start out by finding the least common denominator (LCD). List the multiples of both of the current denominators (3 and 5) and find the first common one.
Multiples of 3: 3, 6, 9, 12, 15
Multiples of 5: 5, 10, 15
Since 15 is our first common multiple, it is now our LCD.
Fourth, now we can multiply to change our denominators. Using our current denominators, we have to multiply by let's say (x / a variable). Basically, what can you multiply by 3 to get 15? That would be (3 × 5 = 15). For our other fraction, what would we multiply by 5 to get 15? (5 × 3 = 15). Remember, whatever you do to the bottom you must do to the top.
Fifth, we can now combine our denominators, which will make us have to add both of the numerators together.
Sixth, our last step is to convert the fraction into a mixed fraction. How you do this is to divide the numerator by the denominator. We would set up something like this: 31 ÷ 15 = 2.066667. That decimal in fraction form is 2 1/15, which is our answer.
Answer in fraction form:
Answer in decimal form:
