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Zielflug [23.3K]
3 years ago
11

Match each description when z = 9 + 3i. 1. Real part of z 2. Imaginary part of z 3. Complex conjugate of z 4. 3i - z 5. z - 9 6.

9 - z A. -9 B. 3i C. -3i D. 9 - 3i E. 3 F. 9 5x2 - 20 = 0 x3 - x2 + x - 1 = 0 x3 + 3x2 + x + 3 = 0 x3 - 2x2 + x - 2 = 0 x3 - 6x2 - 16x + 96 = 0
Mathematics
1 answer:
sergey [27]3 years ago
5 0
1)\quad \Re(9+3i)=9\qquad\text{F}\\\\
2)\quad \Im(9+3i)=3\qquad\text{E}\\\\
3)\quad \overline{(9+3i)}=9-3i\qquad\text{D}\\\\
4)\quad 3i-(9+3i)=3i-9-3i=-9\qquad\text{A}\\\\
5)\quad 9+3i-9=3i\qquad\text{B}\\\\
6)\quad 9-(9+3i)=9-9-3i=-3i\qquad\text{C}\\\\
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Write a linear equation that has a slope of 1/2 and a y-intercept at the origin.
Nata [24]

Answer:

y=1/2x

Step-by-step explanation:

Slope intercept form is the most commonly used linear equation:

It goes like this:

y=mx+b

In this equation, m is the slope and b is the y-intercept.

Your line has a slope of 1/2. So, your m-value is 1/2.

y=1/2x+b

B, your y-intercept, is at the origin.

The origin is the point (0,0).

So b, is 0 (y-intercept is the y-value when x is 0)

y=1/2x+0

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y=1/2x

5 0
3 years ago
HELP!!! PLEASE!!!!
Makovka662 [10]

Answer:

  • y = 2x² - 5x + 7

Step-by-step explanation:

For this problem, imagine the standard form, which is:

f(x) = ax² + bx + c = y

Using the table, and adding that y at the end, we can plug in and write out the following equations. (<em>Writing it out is important</em>):

f(-1) = a(-1)² + b(-1) + c = 14

f(0) = a(0)² + b(0) + c = 7

f(1) = a(1)² + b(1) + c = 4

f(2) = a(2)² + b(2) + c = 5

Now if this doesn't look familiar, it's actually a <u>systems of equations</u> using the a, b, and c elements as your three variables! If you simplify the equations:

f(-1) = a - b + c = 14

f(0) = c = 7

f(1) = a + b + c = 4

f(2) = 4a + 2b + c = 5

Something unique just happened. We have already defined what ' c ' is!

<u><em>c = 7</em></u>

Setting that aside, if you remove the f(x) portion of the equations, you're left with:

a - b + c = 14

a + b + c = 4

4a + 2b + c = 5

Using the two upper equations, if we add them together (you can do that as it doesn't change the values of the variables) you get:

2a + 2c = 18

Note: the ' b ' variables cancelled out in the addition [ b +  (-b) ]

If you further simplify the equation:

a + c = 9

Awesome. Now we already know that <u>c = 7</u>, so if you plug that into the equation:

a + 7 = 9

Solve for a. So then a = 2

Now that we know the following:

a = 2

c = 7

We can then use the equation:

a + b + c = 4

And solve for b!

2 + b + 7 = 4

Simplify.

b + 9 = 4

Simplify.

b = -5

Now at this point, since you know what a, b and c are, you can write the equation!

f(x) = 2x² - 5x + 7

You can confirm your work by putting any of the x values in the table through!

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3 years ago
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3000(0.25)=750

C is correct. Hope this helps!
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MrMuchimi

Answer:

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Step-by-step explanation:

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