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gizmo_the_mogwai [7]
2 years ago
6

Determine the nature of the solutions to the equation: x2 - 3x = 6

Mathematics
2 answers:
olga55 [171]2 years ago
8 0

Answer:

One Solution

Step-by-step explanation: when x is equal to one number it is defined as one solution. I hoped I answered correctly. please comment if I haven't

uysha [10]2 years ago
4 0

Answer: The solution is two distinct real zeros.

Step-by-step explanation:

Subtract 6 from both sides:

x^2-3x-6=6-6\\x^2-3x-6=0

Calculate the discriminant:

D=b^2-4ac

Where:

a=1

b=-3

c=-6

Then:

D=(-3)^2-4(1)(-6)=33

By definition, when D>0 the solution is two distinct real zeros.

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A train leaves at 1314 and arrives at 1508. It travelled at an average speed of 105 km/h.
Paraphin [41]

Answer: The train traveled 199.5 km

Step-by-step explanation:

We know the relationship:

Distance = Time*Speed

We know that the speed of the train was 105km/h

And we know that it leaves at 13:14, and arrives at 15:08.

Then the total amount of time that the train was traveling is:

T = (15 hours and 8 mins) - (13 hours and 14 mins)

= (15 - 13) hours and (8 - 14) mins

=  2 hours and (-6) mins.

We know that one hour has 60 minutes, then this is equal to:

T = 1 hour and 54 minutes.

But because the speed is kilometers per hour, we need to rewrite the 54 minutes in hours.

This can be done as follows:

1 hour = 60 minutes.

Then: 54 minutes = (54/60) hours = 0.9 hours.

Then:

1 hour and 54 minutes = 1.9 hours.

Now we know the speed and the time, then the distance can be calculated as:

Distance = speed*time = 105km/h*(1.9 h) = 199.5 km

The train traveled 199.5 km

3 0
3 years ago
Read 2 more answers
Plz help im cheeks at math
Vera_Pavlovna [14]

We have an exponential with a fractional base and a positive exponent, and a positive sign at front. Each time we multiply a fraction between zero and one by itself it gets smaller.  So as x increases we'll go to zero.   As x decreases it goes to positive infinity, as negative powers are the reciprocals of positive power.

The left end approaches positive infinity and the right end approaches zero.

6 0
3 years ago
Can somebody please help me
Ksenya-84 [330]

Answer:

......................................................

Step-by-step explanation:

8 0
3 years ago
What is the answer to 2x^3(5x-1)
RideAnS [48]
The answer is 10x^4 - 2x^3
5 0
3 years ago
6. Solve the following equation for x. Show each step.<br> 5x + 2 = 3x + 4(2x - 1)
monitta

Answer:

x=1

Step-by-step explanation:

5x + 2 = 3x + 4(2x - 1)

Distribute the 4

5x + 2 = 3x + 8x - 4

Combine like terms

5x + 2 = 11x - 4

Subtract 5x from each side

5x -5x + 2 = 11x - 5x - 4

2 = 6x-4

Add 4 to each side

2+4 = 6x-4+4

6 = 6x

Divide each side by 6

6/6 =6x/6

1= x

4 0
2 years ago
Read 2 more answers
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