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SpyIntel [72]
2 years ago
10

2.

Mathematics
1 answer:
trasher [3.6K]2 years ago
7 0

Answer:

how do you do this type of stuff I wanna learn so I can start to help other people

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When the solutions are going to be complex, which methods can be used to solve quadratic equations?
yKpoI14uk [10]
You could complete the square to state the vertex. 
You could use the quadratic equation to find the roots (which are complex). 

Try an example that will require both.

y = x^2 + 2x + 5

Step One
Get the graph. That's included below.

Step Two
Provide the steps for completing the square.
Note: we should get (-1,4)

y= (x^2 +2x ) + 5
y = (x^2 +2x + 1) + 5 - 1
y = (x +1)^2 + 4

The vertex is at (-1,4)

Step Three
Find the roots. Use the quadratic equation. Note that the graph shows us that the equation never crosses or touches the x axis. The roots are complex.

\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac } }{2a}

a = 1
b = 2
c = 5

\text{x = }\dfrac{ -2 \pm \sqrt{2^{2} - 4*1*5 } }{2}
\text{x = }\dfrac{ -2 \pm \sqrt{4 - 20 } }{2}
\text{x = }\dfrac{ -2 \pm \sqrt{-16 } }{2}
\text{x = }\dfrac{ -2 \pm 4i }{2}
x = -1 +/- 2i

x1 = -1 + 2i
x2 = -1 - 2i And we are done.


7 0
3 years ago
Write as an algebraic expression <br><br>17 decreased by x​
Lerok [7]
The correct answer is 17-x
8 0
2 years ago
Identify the chord(s) of circle A.<br>please help asap!!! Thank you so much!!​
Katarina [22]

Answer:

TS and RS

Step-by-step explanation:

Chords are TS and RS

7 0
3 years ago
A wave emitted from a source has a frequency of 10 Hz and wavelength 2.5 m. How much time will it take to reach a person located
Vesnalui [34]

Time taken to reach a person located 5m from the source is 0.2s

<u>Explanation:</u>

Given:

Frequency, f = 10Hz

Wavelength, λ = 2.5m

Distance, d = 5m

Time, t = ?

We know:

velocity = f X λ

v = 10 X 2.5

v = 25 m/s

We know:

Distance = speed X time

On substituting the value we get:

5 = 25 X t

t = 0.2 seconds

Therefore, time taken to reach a person located 5m from the source is 0.2s

7 0
3 years ago
Read 2 more answers
Learning Theory Students in a psychology experiment were given an exam and then retested monthly with equivalent exams. The aver
forsale [732]

Answer:

Step-by-step explanation:

The average scores s (on a 100 point scale) for the students can be modeled by

s = 75 - 6 In(t + 1), 0 < t < 12

where t is the time in months.

a) Since the students were given an exam and then retested monthly with equivalent exams, then,

For the original exam, t = 0

Therefore,

s = 75 - 6 In(0 + 1) = 75 - 6 In1

s = 75 - 6 × 0 = 75

b) the average score after 4 months, t = 4

Therefore,

s = 75 - 6 In(4 + 1) = 75 - 6 In5

s = 75 - 9.66 = 65.34

c) s = 60

Therefore,

60 = 75 - 6 In(t + 1)

6 In(t + 1) = 75 - 60 = 15

In(t + 1) = 15/6 = 2.5

t + 1 = e^2.5 = 12.18

t = 12.18 - 1 = 11.18

t = 11 approximately

8 0
3 years ago
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