Answer:
C x 34 or 34c
Step-by-step explanation:
There isn't really a way to show work or really an answer unless you have a value for C but I hope this helped anyway.
<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:
0
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
8x+4(4x+3)=4(6x+4)−4
8x+(4)(4x)+(4)(3)=(4)(6x)+(4)(4)+−4(Distribute)
8x+16x+12=24x+16+−4
(8x+16x)+(12)=(24x)+(16+−4)(Combine Like Terms)
24x+12=24x+12
24x+12=24x+12
Step 2: Subtract 24x from both sides.
24x+12−24x=24x+12−24x
12=12
Step 3: Subtract 12 from both sides.
12−12=12−12
0=0
Answer:
All real numbers are solutions.
Answer:
YES. (2, 7) is a solution of the system.
Step-by-step explanation:
System of linear inequalities has been given as,
y ≥ -x + 1 --------(1)
y < 4x + 2 ------(2)
If (2, 7) is a solution of the given system of inequalities, it will satisfy both the inequalities.
By substituting the coordinates of point (2, 7) in inequality (1),
7 ≥ -2 + 1
7 ≥ -1
True.
By substituting the coordinates of point (2, 7) in inequality (2),
7 < 4(2) + 1
7 < 9
True.
Therefore, point (2, 7) lie in the solution area of system of inequalities.
YES. (2, 7) is a solution of the system.
Answer:
what i did was multiply 33*6 and got 198 and then 228-198 to find out that the initial fee was 30 dollars. then multiply 33*9+30 to get a 9-month total cost of $327
Step-by-step explanation:
cost = $33 per month + fee
1. c(m) = 33m + f
33(6) + f = 228
198 + f = 228
f = $30 membership fee
c(m) = 33m + 30
2. at 9 months: 33(9) + 30 = $327
hopefully this helps :)
have a nice day !!
