Answer:
-10b + 90
Step-by-step explanation:
-10 (b- 9)
-10 ×( b -9 )
-10b + 90
For this case the main function is:
f (x) = x ^ 2
We are going to apply the following transformations:
Vertical translations
Suppose that k> 0:
To graph y = f (x) + k, move the graph of k units up.
We have then:
f (x) = x ^ 2 + 5
Horizontal translations
Suppose that h> 0
To graph y = f (x + h), move the graph of h units to the left.
We have then:
f (x) = (x + 1) ^ 2 + 5
Answer:
f (x) = (x + 1) ^ 2 + 5
Using an exponential function, it is found that f(5.5) = 19.8.
<h3>What is an exponential function?</h3>
An exponential function is a function in which the growth rate is a percentage, modeled by:
In which:
f(3.5) = 25 means that:
f(8.5) = 14 means that:
Hence:
![b = \sqrt[5]{\frac{14}{25}}](https://tex.z-dn.net/?f=b%20%3D%20%5Csqrt%5B5%5D%7B%5Cfrac%7B14%7D%7B25%7D%7D)
Hence, the function is given by:
Then, when x = 5.5:
More can be learned about exponential functions at brainly.com/question/25537936
The solution to the system of equation are x=2, y=0, z=6
<h3>System of equations</h3>
System of equations are equations that contains unknown variables.
Given the equations
3x+y+2z=8
8y+6z=36
12y+2z=12
From equation 2 and 3
8y+6z=36 * 1
12y+2z=12 * 3
______________
8y+6z=36
36y+6z= 36
Subtract
8y - 36y = 36 - 36
-28y =0
y = 0
Substitute y = 0 into equation 2
8(0)+6z=36
6z = 36
z = 6
From equation 1
3x+y+2z =8
3x + 0 + 2(6) = 8
3x = 8 - 12
3x = 6
x = 2
Hence the solution to the system of equation are x=2, y=0, z=6
Learn more on system of equation here: brainly.com/question/14323743
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