Answer:
Step-by-step explanation:
2
(
2
x
−
1
)
+
7
<
13
Expand LHS
→
4
x
−
2
+
7
<
13
4
x
+
5
<
13
4
x
<
13
−
5
4
x
<
8
Divide through by
4
→
x
<
2
x
<
2
is represented on the real line by the interval
(
−
∞
,
2
)
This can be represented on the
x
y
−
plane by the area to the left of the vertical line
x
=
2
as graph below.
graph{2(2x-1)+7<13 [-10, 10, -5, 5]}
240 = 100%
so 10% = 24 sandwiches
all - (tuna) - (jam) = egg
100% - 20% - 40% = 40%
40% = 10%*4
40% = 24*4 = 96
the answer is 96 egg salad sandwiches
Answer:
10
β
Step-by-step explanation:
We can find this two ways, first by seeing in the step after it, cosines are canceled out. Since you already have 10
β
on the next step, you can assume that (since only the cosines changed and the cosine next ot the blank was removed), the value is 10
β
.
You can also use double angle formulas from the previous step:
(sin(2β) = 2 sin(β) cos(β))and find that:
5 sin (2β) sin(β) = 5 * (2 sin(β) cos(β)) sin(β)) = (10 sin(β) sin(β)) cos(β) =
10
β
cos(β)
But since cos(β) is already present, we can see that the answer is 10
β
You would divide -204 divide it by -17 and you would get 12
X=12
<h3>
Answer: -7 < x < 17</h3>
====================================================
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.
-----------------------
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.