Answer:
The quadratic equation has two complex solutions.
Step-by-step explanation:
5x² + 6x + 2 = 0
To know the the correct answer to the question, we shall determine the discriminant of the equation. This can be obtained as follow:
5x² + 6x + 2 = 0
ax² + bx + c = 0
Comparing the above equation, we can obtain:
a = 5
b = 6
c = 2
Discriminant (D) =?
D = b² – 4ac
D = 6² – (4 × 5 × 2)
D = 36 – 40
D = – 4
Since the discriminant of the equation is less than 0, it means that the equation has no real root ( i.e the equation has two complex solution).
Answer:75
Step-by-step explanation:3/5x=45
X=45÷3/5
×=45×5/3
×=75
Answer: 0.001
Step-by-step explanation:This is a combination problem, so we need to calculate the combination of 7 choose 5, and then multiply by the probability of each event:
Combination of 7 choose 5:
C(7,5) = 7! / (5! * 2!) = 7*6/2 = 21
This value means that we have 21 different possibilities of the 5 days we want being allocated in the 7 days
Now, the probability of each event is:
5 days playing the song: (0.15)^5
2 days not playing the song: (0.85)^2
So, the final probability is
P = C(7,5) * (0.15)^5 * (0.85)^2 = 0.001
Answer:
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Let's start by defining a few variables:
x=width of the floor
x+36= length of the floor
Since area = length x width, we can write the equation:
x(x+36)<2040 ft² (this is your mathematical sentence
Make a chart of the possible values:
x | x+36| Area
30 66 = 1980 fits
31 67 = 2077 *too big
So, all dimensions with length smaller than 30 and widths smaller than 66 fit the system.
x(x+36)=144? Let's try smallest numbers - width of 1 ft, length of 37 ft
1(37)=37 too small
3(39)=117 nope
4(40)=160 nope
So, no, 144 ft² is not a realistic answer.