Answer: 27
Step-by-step explanation:
![a_{1}=6\\a_{2}=a_{n-1}+7=a_{2-1} +7=a_{1} +7=6+7=13\\a_{3}=a_{n-1}+7=a_{3-1} +7=a_{2} +7=13+7=20\\a_{4}=a_{n-1}+7=a_{4-1} +7=a_{3} +7=20+7=27](https://tex.z-dn.net/?f=a_%7B1%7D%3D6%5C%5Ca_%7B2%7D%3Da_%7Bn-1%7D%2B7%3Da_%7B2-1%7D%20%20%20%20%2B7%3Da_%7B1%7D%20%2B7%3D6%2B7%3D13%5C%5Ca_%7B3%7D%3Da_%7Bn-1%7D%2B7%3Da_%7B3-1%7D%20%20%20%20%2B7%3Da_%7B2%7D%20%2B7%3D13%2B7%3D20%5C%5Ca_%7B4%7D%3Da_%7Bn-1%7D%2B7%3Da_%7B4-1%7D%20%20%20%20%2B7%3Da_%7B3%7D%20%2B7%3D20%2B7%3D27)
The slope is 1. meaning up 1 and over 1
the y intercept is (0, -2)
when x is 1 y is -1 (1, -1)
when x is 2 y is 0 ( 2, 0)
hope that helps
An equation is formed of two equal expressions. The equation of function g(x) in terms of f(x) is g(x) = -3[f(x)].
<h3>What is an equation?</h3>
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The given graph is the graph of an exponential function, the general equation of an exponential function is given by the y=aeᵇˣ. To get the function f(x) and g(x), you need to substitute the points in the given function and produce the equation of each function.
The equation for f(x) from the given graph can be written as,
![f(x)=e^{(\ln2)x}-2](https://tex.z-dn.net/?f=f%28x%29%3De%5E%7B%28%5Cln2%29x%7D-2)
Now, similarly from the graph the function of g(x) can be written as,
![g(x)=-3e^{(\ln2)x}+6](https://tex.z-dn.net/?f=g%28x%29%3D-3e%5E%7B%28%5Cln2%29x%7D%2B6)
Further, the equation of function g(x) in terms of f(x) can be written as,
g(x) = -3[f(x)]
Learn more about Equation:
brainly.com/question/2263981
#SPJ1
Answer:
45 degree
Step-by-step explanation:
We are given that
Angle PSR=99 degrees
Angle PSQ=(3x+18) degrees
Angle QSR=(9x-27)degrees
According to question
Angle PSR=Angle PSQ+angle QSR
Substitute the values
![99=3x+18+9x-27](https://tex.z-dn.net/?f=99%3D3x%2B18%2B9x-27)
![12x-9=99](https://tex.z-dn.net/?f=12x-9%3D99)
![12x=99+9=108](https://tex.z-dn.net/?f=12x%3D99%2B9%3D108)
![x=\frac{108}{12}=9](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B108%7D%7B12%7D%3D9)
Substitute the value of x
Angle PSQ=![(3(9)+18)=45^{\circ}](https://tex.z-dn.net/?f=%283%289%29%2B18%29%3D45%5E%7B%5Ccirc%7D)
Hence, the measure of angle PSQ=45 degree
Answer:
184 sq cm
Step-by-step explanation: