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never [62]
3 years ago
10

Write in standard form:

%7D%7B2%7Di%29%5E%7B4%7D" id="TexFormula1" title="(\frac{\sqrt{2}}{2} + \frac{\sqrt{2}}{2}i)^{4}" alt="(\frac{\sqrt{2}}{2} + \frac{\sqrt{2}}{2}i)^{4}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
lutik1710 [3]3 years ago
7 0

Answer:

-1

Step-by-step explanation:

=(\frac{1}{\sqrt{2}}(1+i))^4\\=\frac{1}{4}(1+i)^2(i+i)^2\\=\frac{1}{4}(2i)(2i)\\=i^2\\=-1

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B) Triangle

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3 years ago
Rate and Ratio Sipho paid 605,50 for 70litres of petrol.What did the petrol cost per litre.​
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6 0
2 years ago
The revenue each season from tickets at the theme part is represented by t(x) = 3x. The cost to pay the employees each season is
Lostsunrise [7]
The correct answer is C
3 0
3 years ago
Read 2 more answers
13
zepelin [54]

Answer:

The required equation is: \mathbf{f(x)=\frac{3}{4}x-\frac{29}{4}}

Step-by-step explanation:

We need to find equation from the table given

x     f(x)

3     -5

7     -2

11     1

15    4

We can write equation in the form of y=mx+b

where m is slope and b is y-intercept.

Finding Slope

We can used the slope formula to find slope: Slope=\frac{y_2-y_1}{x_2-x_1}

From the table we have: x_1=3, y_1=-5, x_2=7, y_2=-2

Putting values and finding slope

Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-2-(-5)}{7-3} \\Slope=\frac{-2+5}{7-3}\\Slope=\frac{3}{4}

So, we get slope m=\frac{3}{4}

Now, finding y-intercept

Using the slope m=\frac{3}{4} and point (3,-5) we can find y-intercept

y=mx+b\\-5=\frac{3}{4}(3)+b\\-5=\frac{9}{4}+b\\b=-5-\frac{9}{4}\\b=\frac{-5*4-9}{4}\\b=\frac{-20-9}{4}\\b=\frac{-29}{4}

The y-intercept is b=\frac{-29}{4}

So, the equation having slope m=\frac{3}{4} and y-intercept b=\frac{-29}{4} will be:

y=mx+b\\y=\frac{3}{4}x-\frac{29}{4}

The required equation is: \mathbf{f(x)=\frac{3}{4}x-\frac{29}{4}}

6 0
3 years ago
Help me please 100 points!!
yarga [219]

If function and inverse be

\\ \rm\longmapsto f(x)\:and\:f^{-1}(x)

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Look at the first one

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8 0
3 years ago
Read 2 more answers
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