Answer:
x<3 AND x>2
Step-by-step explanation:
First, 4x-4<8. Adding 4 to both sides, 4x<12, and dividing by 4, x<3.
Next, 9x+5>23. Subtracting 5 from both sides, 9x>18, and dividing by 9, x>2.
Therefore, x<3 AND x>2.
We are given two points: (-1, -1) and (1, -4). Slope is calculated as the change in y over the change in x, or rise over run.
The change in y is the difference of the two y coordinates (it doesn't matter the order): -1 - (-4) = 3
The change in x is the difference of the two x coordinates (this order depends on the order that you subtracted the y coordinates; they must be the same order): -1 - 1 = -2.
So, the slope is 3/-2
The answer for angle b is: 25°
Answer:
See below
Step-by-step explanation:
Given function is ,
=> f(x) = 4x + 7.
Replace f(x) with y ,
=> y = 4x + 7
For finding the inverse , interchange x and y ,
=> x = 4y + 7
Now solve for y ,
=> 4y = x - 7
=> y = x-7/4
Replace y with f-¹(x) ,
=> f-¹(x) = (x-7)/4
These are the required steps .
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