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3 years ago

Use the discriminant to determine how many solutions are possible for the following equation show

Mathematics

1 answer:

MaRussiya [10]3 years ago

7 0

Answer:

x = 3/10 + (i sqrt(71))/10 or x = 3/10 - (i sqrt(71))/10

Step-by-step explanation:

Solve for x:

5 x^2 - 3 x + 4 = 0

Divide both sides by 5:

x^2 - (3 x)/5 + 4/5 = 0

Subtract 4/5 from both sides:

x^2 - (3 x)/5 = -4/5

Add 9/100 to both sides:

x^2 - (3 x)/5 + 9/100 = -71/100

Write the left hand side as a square:

(x - 3/10)^2 = -71/100

Take the square root of both sides:

x - 3/10 = (i sqrt(71))/10 or x - 3/10 = -(i sqrt(71))/10

Add 3/10 to both sides:

x = 3/10 + (i sqrt(71))/10 or x - 3/10 = -(i sqrt(71))/10

Add 3/10 to both sides:

Answer: x = 3/10 + (i sqrt(71))/10 or x = 3/10 - (i sqrt(71))/10

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The sun produces 3.9 ⋅ 10 to the 33th power ergs of radiant energy per second. How many ergs of radiant energy does the sun prod

arlik [135]

So the sun produces 3.9x10³³/ second

Using this ratio (3.9x10³³/ second) we can use the porpotions to calculate time taken (T) to produce 1.55x10⁷.

$\frac{3.9(10^3) ergs}{1 second} = \frac{1.55(10^7)ergs}{T}$

Then isolate T and find the time

$\frac{T3.9(10^3)ergs}{1 second} = {1.55(10^7)ergs$
$T3.9(10^3)ergs = ({1.55(10^7)ergs)seconds$
$T = \frac{(1.55(10^7)ergs)seconds}{3.9(10^3)ergs}$
$T = \frac{(1.55(10^7)seconds}{3.9(10^3)}$
$T = \frac{1.55}{3.9}(10^4)seconds$
$T = 0.397(10^4)seconds$
$T = 3.97(10^-^1)(10^4)seconds$
$T = 3.97(10^3)seconds$

Thus it took 3.97x10³ seconds for 1.55x10⁷. of ergs to be produced
Hope that helped and if it did, a Brainliest rating would be much appreciated

6 0

3 years ago

ILL GIVE BRAINLIEST, 20 POINTS!!

maxonik [38]

Ohio = 45,000, Cali = 160000, Texas = 270000, Connecticut = 5500, SC = 32000,

A would be true

B would be false

C would be false

D would be true, assuming "about" means you can round up a little.

hope this helped

6 0

3 years ago

Read 2 more answers

El productor del números es 28. Sabiendo que el primer número es 3 unidades menor que el segundo, calcula los dos número

Rasek [7]

Answer:

Tienes 3 números, "x", "y", "z"

=> El primero es 20 unidades menor que el segundo:

El primero es "x", y el segundo es "y", entonces:

x = y - 20

=> El tercero es igual a la suma de los dos primeros:

El tercero es "z", entonces:

z = x + y

z = (y - 20) + y

z = 2y - 20

=> Entre los tres suman 120

x + y + z = 120

y - 20 + y + 2y - 20 = 120

4y - 40 = 120

4y = 160

y = 40

Si y = 40, entonces:

x = y - 20

x = 20

Además, z = 2y - 20

z= 60

RPTA:

x=20

y=40

z=60

Step-by-step explanation:

8 0

3 years ago

2. Calculate the energy in joules of a photon whose frequency is 7.55×1014 Hz.

igomit [66]

The energy of a photon is given by
E = h × v

where:
E is the energy in joules/photon
'h' is the constant 6.63 × 10⁻³⁴
'v' is the frequency 7.55 × 10¹⁴

Substitute 'h' and 'v' into the formula we have

E = (6.63×10⁻³⁴) × (7.55×10¹⁴)
E = (6.63×7.55) × (10⁻³⁴ × 10¹⁴)
E = 50.0565 × 10⁽⁻³⁴⁺¹⁴⁾
E = 50 × 10⁻²⁰ joules/photon

8 0

3 years ago

1 year = how many seconds? Last question in my h.w and idk how to do it:/

Novay_Z [31]

This should help
60 sec = 1min
60min = 1 hour
24hour = 1day
7 days = 1 week
around 4.3 weeks = 1month
12 months = 1 year

or you could use 365 days and times that by 24 than times that by 60 to get mins and again by 60 to get seconds.

hope this helps

5 0

3 years ago