Answer:
150+79m
Step-by-step explanation:
$150+$79m (m per month)
1.
![\displaystyle \text{if }\quad G=x- \frac{C}{x} \\\\](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Ctext%7Bif%20%7D%5Cquad%20G%3Dx-%20%20%5Cfrac%7BC%7D%7Bx%7D%20%5C%5C%5C%5C)
![x \neq 0](https://tex.z-dn.net/?f=x%20%5Cneq%200%20)
Multiply both sides by x:
![\displaystyle Gx=x\bigg(x- \frac{C}{x}\bigg )\\\\Gx=x^2-C](https://tex.z-dn.net/?f=%5Cdisplaystyle%20Gx%3Dx%5Cbigg%28x-%20%5Cfrac%7BC%7D%7Bx%7D%5Cbigg%20%29%5C%5C%5C%5CGx%3Dx%5E2-C)
Subtract from both sides Gx:
![Gx-Gx=x^2-C-Gx\\x^2-Gx-C=0](https://tex.z-dn.net/?f=Gx-Gx%3Dx%5E2-C-Gx%5C%5Cx%5E2-Gx-C%3D0)
Then solve this equation:
![\displaystyle x^2-Gx-C=0\\\\x_{1,2}= \frac{G\pm \sqrt{G^2+4C} }{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%5E2-Gx-C%3D0%5C%5C%5C%5Cx_%7B1%2C2%7D%3D%20%5Cfrac%7BG%5Cpm%20%20%5Csqrt%7BG%5E2%2B4C%7D%20%7D%7B2%7D%20)
2.
![\displaystyle\text{if}\quad G= \frac{x-C}{x}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Ctext%7Bif%7D%5Cquad%20G%3D%20%5Cfrac%7Bx-C%7D%7Bx%7D%20)
![x \neq 0](https://tex.z-dn.net/?f=x%20%5Cneq%200)
Multiply both sides by x:
![Gx=x-C](https://tex.z-dn.net/?f=Gx%3Dx-C)
Subtract from both sides Gx:
![x-C-Gx=0](https://tex.z-dn.net/?f=x-C-Gx%3D0)
Then solve this equation:
The complete question in the attached figure
we know that
[arcs rc +arc cs arc sm]---------------> they take up half a circle-------->180°
<span> they are all congruent
so
divide 180 by 3 ----------------> 180/3=60</span>°
Find the length of arc rc=60°<span>
if 360</span>°----------------> (2*pi*7) length of circumference
60° -------------------> X
<span>X=60*2*pi*7/360------------> 7.327 units
the answer is
</span>
the length of arc rc= <span>
7.33 units</span>
The multiplicative inverse of a number is the number when you multiply it, it gives you the product of 1.
So for - 27, what number will give us 1 when we multiply it by -27
-27 * -1/27 = 1
So the multiplicative inverse of -27 = -1/27
7/9 * 9/7 = 1
-9/16 * -16/9 = 1
So in essence, just take the number and flip it
-27 = -1 / 27
7/9 = 9/7
-9/16 = -16/9
Answer: A vertical stretch of 4 and a translation of -2 units in the x-direction.
Step-by-step explanation:
Changes of the parent function can be written, in this case as <em>a</em>f(x)(x - <em>k</em>) where <em>a</em> is the stretch factor and <em>k</em> is the movement left or right on the x-axis.
In this case, a = 4 and k = 2. Since the k is negative, the function will be moved -2 units on the x-axis.
<em>Learn more about </em><em>transformations of a parent function</em><em> here:</em>
<em>brainly.com/question/13822715</em>