See attached picture for answre
Answer:
given us,
(x1y1) = (4,6)
(x2y2)= (1,10)
here
slope= (y2-y1)/ (x2-x1)
= (10-6)/ (1-4)
= 4/ (-3)
Step-by-step explanation:
4/ (-3)
<h3>
Answer: -7 < x < 17</h3>
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Explanation:
Plug in the lower bound of the domain, which is x = -3
f(x) = 3x+2
f(-3) = 3(-3)+2
f(-3) = -9+2
f(-3) = -7
If x = -3, then the output is y = -7. Since f(x) is an increasing function (due to the positive slope), we know that y = -7 is the lower bound of the range.
If you plugged in x = 5, you should find that f(5) = 17 making this the upper bound of the range.
The range of f(x) is -7 < y < 17
Recall that the domain and range swap places when going from the original function f(x) to the inverse 
This swap happens because how x and y change places when determining the inverse itself. In other words, you go from y = 3x+2 to x = 3y+2. Solving for y gets us y = (x-2)/3 which is the inverse.
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In short, we found the range of f(x) is -7 < y < 17.
That means the domain of the inverse is -7 < x < 17 since the domain and range swap roles when going from original to inverse.
Answer:
2
Step-by-step explanation:
Answer:
no solution
Step-by-step explanation:
-9x +5 < 17 AND 13x + 25 < -1
Solve each part separately and then put back together
-9x +5 < 17
Subtract 5 from each side
-9x+5-5< 17-5
-9x < 12
Divide each side by -9 remembering to flip the inequality
-9x/-9>12/-9
x > -4/3
and
13x + 25 < -1
subtract 25 from each side
13x +25-25 < -1-25
13x <-26
Divide by 13
13x/13 < -26/13
x <-2
There is no overlap so there is no solution