Given ω=[tex]\frac{3-2i}{5-6i}[/tex] , find ω in the a+bi form.

Answer:

C for each additional hour of service, the price of the dog walker increases by $10

Step-by-step explanation:

substitute any hour in f(n)=5+10n

for example, 1hr is 5+10×1=$15

2hr is 5+10×2=$25

3hr is 5+10×3=$35

4hr is 5+10×4=$45

and so on....

you can see that the price increases every $10

Answer:

Step-by-step explanation:

y = -1(x + 2)(x - 3)(x - 3)(x + 0)(x + 0)(x + 1)(x + 1)(x + 1)

The 8 degree polynomial for the given roots can be written as  p(x) =  x⁸ - x⁷- 12x⁶ - 4x⁵ + 30x⁴ + 51x³ + 18x².

The factor theorem states that for a polynomial p(x) if there exists a real number a such that p(a) = 0, then (x - a) is one of the factors of p(x).

The roots of the polynomial are given as follows,

Number of roots at -2 = 1

Number of roots at 3 = 2

Number of roots at 0 = 2

And, number of roots at -1 = 3.

Now, the polynomial can be written using factor theorem as,

p(x) = x²(x + 2)(x - 3)²(x + 1)³

      = x²(x + 2)(x²- 6x + 9)(x³ + 3x² + 3x + 1)

      = x⁸ - x⁷- 12x⁶ - 4x⁵ + 30x⁴ + 51x³ + 18x²

Hence, the polynomial for given roots can be written as p(x) =  x⁸ - x⁷- 12x⁶ - 4x⁵ + 30x⁴ + 51x³ + 18x².

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Answer:

Step-by-step explanation:

40/32 ?=? (40 + 12.5) / (32 + 10)

  1.25  ?=? 52.5 / 42

   1.25   =  1.25

similar via SAS

Answer:

322.

Hope that helped. x

Step-by-step explanation:

We have 321.51,

So what we need to do is check the number straight after the decimal point and see if it is less than 5 or 5 and above. (5 and above mean increasing the number, less than 5 means decreasing the number.)

Since the number is 5 we change the 1 to a 2. So the answer is 322.

Answer:

-1.25x-5

Step-by-step explanation:

Answer:

c 35.21

Step-by-step explanation:

rate of change is=to slope

in y=mx+b

m is slope(rate of change)

x the variable such as miles

b is y intercept

Answer:

$258

Step-by-step explanation:

75% = 0.75 when we divide by 100 to convert a percentage to a decimal

75% of total sales = money donated

Total sales = sales from first show + sales from second show

                  = 24n+32 + (40n+56)

                  = 64n + 88

0.75 of (64n+88) = money donated

                            = 0.75 * (64n+88)

                            = 48n + 66

substitute 4 for n, as she charges $4 for each bracelet

money donated = 48*4 + 66 = 258

Answer

f(x) = x - 2

Step-by-step explanation:

If you subtract 2 from each x, you get the answer in f(x)

Answer:

The slope is 1

Step-by-step explanation:

Notice that for every 2 unit increase in y, there's a 2 unit increase in x. This determines our slope, or rate of change. So, the slope is Δy/Δx=2/2=1.

Answer:

1

Step-by-step explanation:

Answer:

i think surface area of Y is 539 cm²

Problem 1

--------------

Explanation:

The vertices are (-12,0) and (12,0). Both of which are on the same horizontal line. Because of this, we have a hyperbola that opens leftward and rightward. Such hyperbolas are of the form

[tex]\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1[/tex]

where (h,k) is the center and the a,b terms help set up the asymptotes.

The midpoint of the vertices (-12,0) and (12,0) is the point (0,0). This is the center. So we know that h = 0 and k = 0.

For left/right opening hyperbolas, the asymptotes can be described as the equations:

y = (b/a)x

y = (-b/a)x

Or we can condense them into [tex]y = \pm \frac{b}{a}x[/tex]. Compare this to the given equation [tex]y = \pm\frac{5}{12}x[/tex] to see that b = 5 and a = 12.

Therefore, we get the following:

[tex]\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1\\\\\frac{(x-0)^2}{12^2}-\frac{(y-0)^2}{5^2}=1\\\\\frac{x^2}{144}-\frac{y^2}{25}=1[/tex]

That points us to choice D.

You chose the correct answer.

=============================================================

Problem 2

--------------

Explanation:

Divide both sides by 3600 so we can turn that "3600" into "1". Then our goal is to get that "1" to its own side like so:

[tex]25x^2-144y^2 + 3600 = 0\\\\\frac{25x^2-144y^2 + 3600}{3600} = \frac{0}{3600}\\\\\frac{25x^2}{3600}-\frac{144y^2}{3600} + \frac{3600}{3600} = 0\\\\\frac{x^2}{144}-\frac{y^2}{25} + 1 = 0\\\\\frac{x^2}{144}-\frac{y^2}{25} = -1\\\\-\frac{x^2}{144}+\frac{y^2}{25} = 1\\\\-\frac{x^2}{12^2}+\frac{y^2}{5^2} = 1\\\\[/tex]

We see that a = 12 and b = 5 like earlier, so we end up with the same asymptotes as before. The only difference is that this hyperbola opens upward/downward rather than left/right.

You made the correct choice in picking answer A. Both of your answers are correct. Nice work.

Answer:

ANSWER 4

Step-by-step explanation:

the hcf is 420 and then u say 2x2=4 simple

The cost of each bag of apple is $6.35

If Miguel buys eggs and apples at the store.

• He pays a total of $56.97.

• He pays a total of $6.17 for the eggs.

• He buys 8 bags of apples that each cost the same amount

The correct equation that represents the statement will be given as:

Make x the subject of the formula

8x = 56.97 - 6.17

8x = 50.8

x = 50.8/8

x = 6.35

Hence the cost of each bag of apple is $6.35

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Answer:

The answer will be the third one.

Step-by-step explanation:

Hope it helps

Answer:

417.63

Step-by-step explanation:

The system or equations can be used to find b, the number of black-and-white copies,

and c, the number of color copies that the customer paid for at the print shop is

b + c = 68

b + c = 680.08b + 0.15c = 6

Given:

Total amount paid = $6.00

Total copies = 68

cost of black-and-white copy = $0.08

cost of color copy = $0.15

let

number of black-and-white copies = b

number of color copies = c

The equation:

b + c = 68

b + c = 680.08b + 0.15c = 6

Therefore, the system or equations can be used to find b, the number of black-and-white copies,

and c, the number of color copies that the customer paid for at the print shop is

b + c = 68

b + c = 680.08b + 0.15c = 6

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Answer:

3/5*5/7*14/3-2/5

8/5...

Answer:

A

Step-by-step explanation:

:)

hope it helps

Step-by-step explanation:

For the Cranberry Scones you all add 14 with it so 14+28=42 42+14=56 56+14=70 70+14=84. So, the answers on Cranberry scones are

28    42      56      70      84  

Orange scones you add 11 to all of them so 11+16=27 27+11=38 38+11=49 49+11=60.So the answer on Orange Scones is

16      27      38      49      60

Answer:

The answer is (-1,1)

Step-by-step explanation:

¯\_(ツ)_/¯

Answer:

y=5

Step-by-step explanation:

If it is perpendicular to the y-axis, that means it is a horizontal line so the slope m=0.

Use the equation

y-y=m(x-x)

y-5=0(x-(-4))

y-5=0

y=5

Answer:

y=5

Step-by-step explanation:

Answer:a

Step-by-step explanation:

Answer:

As a mixed number, it is 3 5/8.

As an improper fraction it is 29/8.

Hope that helps you. x

Explanation:

We multiply the y coordinate by -1/3 because of the notation (-1/3)*f(x). Recall that y = f(x). The x coordinate stays the same.

Answer: The leading coefficient is -1.

Step-by-step explanation: Coefficients are the numbers than procede each term with a variable (in this instance, x) in the equation.

[tex]-x^6+4x^2+2x-6\\[/tex]

There are four terms in this equation, which has been reordered in the correct form, which is from the highest term to the lowest term (based on exponent values).

Thus, there are three coefficients in this equation, which, in order, are as follows:

[tex]-1, 4, 2[/tex]

Answer:

5 sqrt(6) = x

Step-by-step explanation:

The pythagorean theorem states

a^2 + b^2 = c^2

Where a and b are the legs and c is the hypotenuse

7^2 + (sqrt(101))^2 = x^2

49+101 = x^2

150 = x^2

Take the square root of each side

sqrt(150) = sqrt(x^2)

sqrt(25*6) = x

5 sqrt(6) = x

Answer:They were nations at war that shared a common religion.

Step-by-step explanation:

edge

Answer:

B. They were nations at war that shared a common religion.

Explanation: I got it right.