Answer:
If monthly then it would be $21.15
Step-by-step explanation:
Because it is what it is ♀️
1) 4x+6= 10; x=1
2) c + 5= 15; c=10
3) 2 - a= 18; a= -16
4) -8x=16; x= -2
5) a+6= 12; a=6
6) 3+b= 18; b=6
7) -5 - x= 19; x= -24
8) 7+4b= 34; b= 6.75
<span>For a function to have an inverse function, it must be one-to-one, that is, it must pass the
Horizontal Line Test that establishes that a function has an inverse function if and only if no horizontal line intersects the graph of
![f](https://tex.z-dn.net/?f=f)
at more than one point. The function asin(x) does not pass the test because different values of
![x](https://tex.z-dn.net/?f=x)
yield the same
![y-values](https://tex.z-dn.net/?f=y-values)
However, if you <em>restrict</em> the domain to the interval:
</span>
![-\pi/2 \leq x \leq \pi/2](https://tex.z-dn.net/?f=-%5Cpi%2F2%20%5Cleq%20x%20%20%5Cleq%20%5Cpi%2F2)
<span>
as shown in Figure 1, then you have the inverse of the sine function.
So in Figure 2 is shown the graph of:
![$asin(x)+15$](https://tex.z-dn.net/?f=%24asin%28x%29%2B15%24)
.
Note that this graph is the same as:
but it is shifted 15 units upward</span>
Answer:
![y = 9(x +\frac{1}{2}) ^ 2 -\frac{13}{4}](https://tex.z-dn.net/?f=y%20%3D%209%28x%20%2B%5Cfrac%7B1%7D%7B2%7D%29%20%5E%202%20-%5Cfrac%7B13%7D%7B4%7D)
Step-by-step explanation:
An equation in the vertex form is written as
![y = a (x-h) + k](https://tex.z-dn.net/?f=y%20%3D%20a%20%28x-h%29%20%2B%20k)
Where the point (h, k) is the vertex of the equation.
For an equation in the form
the x coordinate of the vertex is defined as
![x = -\frac{b}{2a}](https://tex.z-dn.net/?f=x%20%3D%20-%5Cfrac%7Bb%7D%7B2a%7D)
In this case we have the equation
.
Where
![a = 9\\\\b = 9\\\\c = -1](https://tex.z-dn.net/?f=a%20%3D%209%5C%5C%5C%5Cb%20%3D%209%5C%5C%5C%5Cc%20%3D%20-1)
Then the x coordinate of the vertex is:
![x = -\frac{9}{2(9)}\\\\x = -\frac{9}{18}\\\\x = -\frac{1}{2}](https://tex.z-dn.net/?f=x%20%3D%20-%5Cfrac%7B9%7D%7B2%289%29%7D%5C%5C%5C%5Cx%20%3D%20-%5Cfrac%7B9%7D%7B18%7D%5C%5C%5C%5Cx%20%3D%20-%5Cfrac%7B1%7D%7B2%7D)
The y coordinate of the vertex is replacing the value of
in the function
![y = 9 (-0.5) ^ 2 + 9 (-0.5) -1\\\\y = -\frac{13}{4}](https://tex.z-dn.net/?f=y%20%3D%209%20%28-0.5%29%20%5E%202%20%2B%209%20%28-0.5%29%20-1%5C%5C%5C%5Cy%20%3D%20-%5Cfrac%7B13%7D%7B4%7D)
Then the vertex is:
![(-\frac{1}{2}, -\frac{13}{4})](https://tex.z-dn.net/?f=%28-%5Cfrac%7B1%7D%7B2%7D%2C%20-%5Cfrac%7B13%7D%7B4%7D%29)
Therefore The encuacion excrita in the form of vertice is:
![y = a(x +\frac{1}{2}) ^ 2 -\frac{13}{4}](https://tex.z-dn.net/?f=y%20%3D%20a%28x%20%2B%5Cfrac%7B1%7D%7B2%7D%29%20%5E%202%20-%5Cfrac%7B13%7D%7B4%7D)
To find the coefficient a we substitute a point that belongs to the function ![y = 9x^2 + 9x - 1](https://tex.z-dn.net/?f=y%20%3D%209x%5E2%20%2B%209x%20-%201)
The point (0, -1) belongs to the function. Thus.
![-1 = a(0 + \frac{1}{2}) ^ 2 -\frac{13}{4}](https://tex.z-dn.net/?f=-1%20%3D%20a%280%20%2B%20%5Cfrac%7B1%7D%7B2%7D%29%20%5E%202%20-%5Cfrac%7B13%7D%7B4%7D)
![-1 = a(\frac{1}{4}) -\frac{13}{4}\\\\a = \frac{-1 +\frac{13}{4}}{\frac{1}{4}}\\\\a = 9](https://tex.z-dn.net/?f=-1%20%3D%20a%28%5Cfrac%7B1%7D%7B4%7D%29%20-%5Cfrac%7B13%7D%7B4%7D%5C%5C%5C%5Ca%20%3D%20%5Cfrac%7B-1%20%2B%5Cfrac%7B13%7D%7B4%7D%7D%7B%5Cfrac%7B1%7D%7B4%7D%7D%5C%5C%5C%5Ca%20%3D%209)
<em>Then the written function in the form of vertice is</em>
![y = 9(x +\frac{1}{2}) ^ 2 -\frac{13}{4}](https://tex.z-dn.net/?f=y%20%3D%209%28x%20%2B%5Cfrac%7B1%7D%7B2%7D%29%20%5E%202%20-%5Cfrac%7B13%7D%7B4%7D)
Answer:
<u><em>135 degrees</em></u>
Step-by-step explanation:
180 - 90=90
90/2 =45
45+90= 135
it's right i just took it on edginuity