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2 years ago

HELP ME AND YOU'LL GET 95 POINTS ASAP

Mathematics

1 answer:

Makovka662 [10]2 years ago

8 0

Answer: See explanation. Hope this helps, please consider making me Brainliest.

Step-by-step explanation:

To find the rate of change, subtract then divide. This is especially a good strategy when you have the x and y values when x = 0:

604 - 460 = 144

144 divided by 18 =

Therefore, the rate of change is 8. We can even go further to create an equation for this:

y intercept = 460 (because 0 multiplied by the rate of change would be 0).

slope = 8

Slope-intercept form: y = mx + b --> y = 8x + 460

Hope this helps, please consider making me Brainliest.

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Find the complex fourth roots \[-\sqrt{3}+\iota \] in polar form.

____ [38]

Let $z=-\sqrt3+i$ . Then

$|z|=\sqrt{(-\sqrt3)^2+1^2}=2$

$z$ lies in the second quadrant, so

$\arg z=\pi+\tan^{-1}\left(-\dfrac1{\sqrt3}\right)=\dfrac{5\pi}6$

So we have

$z=2e^{i5\pi/6}$

and the fourth roots of $z$ are

$2^{1/4}e^{i(5\pi/6+k\pi)/4}$

where $k\in\{0,1,2,3\}$ . In particular, they are

$2^{1/4}e^{i(5\pi/6)/4}=2^{1/4}e^{i5\pi/24}$

$2^{1/4}e^{i(5\pi/6+2\pi)/4}=2^{1/4}e^{i17\pi/24}$

$2^{1/4}e^{i(5\pi/6+4\pi)/4}=2^{1/4}e^{i29\pi/24}$

$2^{1/4}e^{i(5\pi/6+6\pi)/4}=2^{1/4}e^{i41\pi/24}$

7 0

3 years ago

4/5x+5=9 solve for x please i have 8 questions left!!!!!!!!!!!

NemiM [27]

Answer:

x= 5

Step-by-step explanation:

You need to get rid of the fraction first and to do that you muliply the whole equation by 5 so that your new equation reads 4x+25=45. Then you subtract 25 from both sides so you have 4x=20. Divide both sides by 4 so x=5.

5 0

3 years ago

What is equivalent to 69

solong [7]

60+9
3*23
6*11.5
34.5*2

6 0

4 years ago

Which equation is the inverse of 2(x - 2)2 = 8(7 + y)?

Marina86 [1]

Answer:

The inverse of $2(x - 2)^2 = 8(7 + y)$ is $y=\sqrt{(4x+28)}+2$

Step-by-step explanation:

Given equation : $2(x - 2)^2 = 8(7 + y)$

$\Rightarrow \frac{2(x-2)^2}{8}=7+y\\\Rightarrow \frac{2(x-2)^2}{8}-7=y$

Replace x with y and y with x

So, $\Rightarrow \frac{2(y-2)^2}{8}-7=x\\\Rightarrow \frac{2(y-2)^2}{8}=x+7\\\Rightarrow 2(y-2)^2=8(x+7)\\\Rightarrow (y-2)^2=4(x+7)\\\Rightarrow (y-2)=\sqrt{4(x+7)}\\\Rightarrow y=\sqrt{4(x+7)}+2\\\Rightarrow y=\sqrt{4x+28)}+2$