Point <em>A</em> represents the complex conjugate z₁ and point L represents the complex conjugate of z₂ respectively
The complex conjugate of a complex number is a complex number that having equal magnitude in the real and imaginary part as the complex number to which it is a conjugate, but the imaginary part of the complex conjugate has an opposite sign to the original complex number
Therefore, graphically, the complex conjugate is a reflection of the original complex number across the x-axis because the transformation for a reflection of the point (x, y) across the x-axis is given as follows;
Preimage (x, y) reflected across the <em>x</em> axis give the image (x, -y)
Where in a complex number, we have;
x = The real part
y = The imaginary part
The reflection of z₁ across the x-axis gives the point <em>A</em>, while the reflection of z₂ across the x-axis gives the point <em>L</em>
Therefore;
Point <em>A</em> represents the complex conjugate z₁ and point L represents the complex conjugate of z₂
Learn more about complex numbers here;
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Answer:Well, I don't know what you got so I can't tell you if it is right.
If it works in both equations, it depends of whether your equations are set up correctly.
Here is how I would do this problem.
Let x = no. of hot dogs,y = number of sodas.
First equation is just about the number of things.
x + y = 15
Second equation is about the cost of things.
1.5 x + .75 y = 18
solve x+y = 15 for y y = 15-x substitute into second equation
1.5x + .75(15 - x) = 18
You should get the correct answer for number of hot dogs if you solve this correctly. Put your answer in the x + y =15 equation to get y. Then put both x and y into the cost equation and check your answer.
Hope this helps.
Step-by-step explanation:
Answer: h(x) = 3*x^2 - 7*x + 8
Step-by-step explanation:
The rate of change of a function is equal to the derivate:
remember that a derivate of the form:
k(x) = a*x^n is k'(x) = n*a*x^(n-1)
Then we have:
f(x) = 2*x - 10
f'(x) = 1*2* = 2
g(x) = 16*x - 4
g'(x) = 1*16 = 16
h(x) = 3*x^2 - 7*x + 8
h'(x) = 2*3*x - 1*7 = 6*x - 7
So the only that increases as x increases is h(x), this means that the greates rate of change as x approaches inffinity is the rate of change of h(x)
43 and 5/6 because 12 and 1/4*2 is 24 and 1/2 then 9 and 2/3*2 is 19 and 1/3 and when you add that you get 43 and 5/6
thirteen is equal to two plus six T. Hope this can help. Have a wonderful day. : )
