Two less than five times a number is equal to 10 more than seven times the number. What is the number?

Step-by-step explanation:

I need to use the fact that it has exactly one root to find the y part - do I use the quadratic formula on the last bit I have written?

I have x already and z = x+iy

3i and 3 are two complex numbers that fulfill this equation.

A complex number is a number of the form (a + bi), where [a] and [b] are real numbers and [i] is equal to [tex]\sqrt{-1}[/tex]. The general form of the complex number representation is (a + ib). In this, [a] is called real part and [ib] is called imaginary part.

We have -

zz* + 3iz = p + 9i

Assume the complex number to be -

z = a + ib

Then -

(a + ib)(a - ib) + 3i(a + ib) = p + 9i

a² + b² + 3ai + 3bi = p + 9i

(a² + b²) + i(3a + 3b) = p + 9i

So -

3(a + b) = 9

a + b = 3

(a² + b²) = p

Now -

Assume p = 9

Then -

a + b = 3

a² + b² = 9

we get two possible values -

(a, b) = (0, 3)

and

(a, b) = (3, 0)

It can be seen that the values of complex number depend upon the value of p. For p = 9, two complex numbers fulfill this equation -

0 + i3 = 3i

3 + i0 = 3

Therefore, 3i and 3 are two complex numbers that fulfill this equation.

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Answer:

4

Step-by-step explanation:

The zeros of the given polynomial function are 0, 5 and 3. Therefore, option D is the correct answer.

The zeros of polynomial refer to the values of the variables present in the polynomial equation for which the polynomial equals 0.

The given polynomial function is f(x)=x(x-5)(x-3).

Here, x(x-5)(x-3)=0

x=0, x-5=0, x-3=0

x=0, x=5 and x=3

The zeros of the given polynomial function are 0, 5 and 3. Therefore, option D is the correct answer.

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https://brainly.com/question/12976257.

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Answer:

total number of tickets bought: 12

total number of tickets used: 11

Jayson used 1 more ticket than Arlo

Step-by-step explanation:

Erm, I don't know what you want answered, but here's some basics:

So to find how many total tickets were bought, we just have to add both of the strips together:

6 + 6 = 12

So the total number of tickets bought was 12.

To find the amount of ticket used, you have to add the top numbers together:

5 + 6 = 11

So the total number of tickets used is 11.

If you wanted to find how many more tickets Jayson used than Arlo, you'd have to subtract Arlo's tickets from Jayson's:

6 - 5 = 1

So Jayson used 1 more ticket than Arlo.

Sorry I couldn't have been more of a help:/

Answer:

D. Just follow the definition in the first line of the answer.

Step-by-step explanation:

Tan(A) = the opposite Side / Adjacent Sid

Tan(A) = 12/21

Tan(A) = 0.5714

Answer:

D. 0.5714

Step-by-step explanation:

I am a rizzly bear

Answer:

Nut Gonna Help!

Keep Learning!

Step-by-step explanation:

An object was launched from a given height. The

equation for the object's height over time is given

as: h= -16t^2 + 19.6t +58.8. What was the

object's initial height?

Answer:

21.11 ft

Step-by-step explanation:

This question would be solved using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c = hypotenuse

13.4² + b² = 25²

179.56 + b² = 625

b² = 625 - 179.56

b = 445.44

find the square root of 445.44

b = 21.11 ft

Answer:

363 portions can be made with one case.

Step-by-step explanation:

Since I buy tomatoes in 25-pound cases, and one batch of Cobb salad requires 1.1 ounces of tomatoes, to determine how many portions can be made with one case, the following calculations must be performed:

1 pound = 16 ounces

25 pounds = 400 ounces

400 / 1.1 = 363.63

Therefore, 363 portions can be made with one case.

Answer:

B

Step-by-step explanation:

Substitute the coordinates of the point into the left side of the equation and if the value obtained equals the right side then it is a solution.

A (- 4, 4 )

- 3(- 4) - 4 = 12 - 4 = 8 ≠ 6 ← not a solution

B (- 3, 3 )

- 3(- 3) - 3 = 9 - 3 = 6 ← this is a solution

The result is B

Answer:

Cuboid's volume is l · w · h

for number one, (9 1/2)·6·(4 2/3), you get 266

there is also triangular prism, which is V = 1/2 b·h·l

which is (1/2 6.9)·8·18 which is 496.8

the surface area is just the area of all the shapes added together, i didn't see any lateral surface area on there, so im not gonna explain unless you want me to.

Answer:

B: (2,-4)

Step-by-step explanation:

x-2=0

x=2

y+4=0

y=-4

Answer:

Since the calculated Z falls in the critical region therefore the null hypothesis is rejected and concluded that there is a difference between the views of these two populations.

Step-by-step explanation:

1) Formulate the hypotheses:

H0 : p1=p2

Ha: p1 ≠ p2

2) The significance level is chosen at ∝= 0.1  

3) The critical region is Z∝/2 ≥ ± 1.645

4) The test statistic under H0 is

Z = p1^- p2^/ √p^q^( 1/n1 + 1/n2)

p1^= proportion of of teenagers liking the new product.

p2^ = proportion of of parents of young children liking the new product.

p1^= 4/5

p2^= 1/5

p^= 5(0.8) + 5(0.2)/5+5= 4+1/10= 0.5

q^= 0.5

Thus

Z= p1^- p2^/ √p^q^( 1/n1 + 1/n2)

z= 0.8-0.2/√0.5*0.5( 1/5 + 1/5)

z= 0.6/ 0.316227

z= 1.897

5) Conclusion:

Since the calculated Z falls in the critical region therefore the null hypothesis is rejected and concluded that there is a difference between the views of these two populations.

Answer:

I'm giving you the steps

Step-by-step explanation:

Add all the numbers shown then round them

Answer:

the answer would be the second one

Answer:

Second choice

Step-by-step explanation:

18=2x9

9=3^2

X^7=(x)x^6)

root 18x^7

=3x^3root 2x

Answer:

5x6x6

Step-by-step explanation:

5x6x6=180

3x3x20=180

4x5x9=180

[tex]\sqrt[3]{180}[/tex]=5.65

Answer:

add up to 90 degree

Step-by-step explanation:

Answer:

Its 12.51

Step-by-step explanation:

Divide the ones column dividend by the divisor.

Multiply the divisor by the quotient in the right place column.

Subtract the product from the ones column.

then you get your answer! Hope this helps!

Step-by-step explanation:

Don't you need a key for what K equals to solve this?

Answer:

A, B, and C All have four sides, and they all have opposite sides that are equal. B and C have right angels. A has angels on opposite side that are the same

Step-by-step explanation:

9514 1404 393

Answer:

  R(p) = -3500p^2 +48000p . . . revenue function

  $6.86 . . . price for maximum revenue

Step-by-step explanation:

The 2-point form of the equation for a line can be used to find the attendance function.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (27000 -20000)/(6 -8)(x -8) +20000

  y = -3500(x -8) +20000

  y = 48000 -3500x . . . . y seats sold at price x

The per-game revenue is the product of price and quantity sold. In functional form, this is ...

  R(p) = p(48000-3500p)

  R(p) = -3500p^2 +48000p . . . per game revenue

__

Revenue is maximized when its derivative is zero.

  R'(p) = -7000p +48000

  p = 48/7 ≈ 6.86

A ticket price of $6.86 would maximize revenue.

Answer:

The first one would be the top answer.

He can play less than 5 minutes before he loses a life.

Step-by-step explanation:

Step-by-step explanation:

In the above right Angled triangle , we have ,

For finding hypontenuse use Pythagoras Theorem , we have ,

⇒ h² = p² + b²

⇒ h² = 9² + 12²

⇒ h² = 81 + 144

⇒ h² = 225

⇒ h = √225

⇒ h = ± 15

⇒ h = 15 [ Neglect -ve value ]

Therefore ,

2*[tex]cos(x+30)^{2}[/tex]=1

x = 15

Answer:

4.5

Step-by-step explanation:

(1/8)*1 + (1/8)*2 + (1/8)*3 + ... +(1/8)*8

or

(1/8)*(1  2 + 3 + 4 + 5 + 6 + 7 + 8) = (1/8)*36 = 4.5

We can use a shortcut to sum the numbers 1 through 8.  It is given by 8*(8+1)/2.

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

Answer: Hewo, there! your Answer is Below

18.2 Would be your answer rounded to the nearest tent the Orignal Answer was 18.24

Step-by-step explanation:

Hope this Helps you!!!

Have a great day!!!

Answer:

30 mph

Step-by-step explanation:

6 x 500% = 6 x 5.00 = 30 mph

Answer:

b = 30 yd is the answer.

Step-by-step explanation:

a = 40 yd

b = ?

c = 50 yd

According to the Pythagoras theorem,

a² + b² = c²

40² + b² = 50²

1600 + b² = 2500

b² = 2500 - 1600

b² = 900

b = 30 yd

∴ b = 30 yd is the length of the missing leg.

Answer:

3m

Step-by-step explanation:

3-dimensional space an object occupied