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zhenek [66]
3 years ago
9

104. Find the inverse g for each function f. a. f(x) = 1/2x-3

Mathematics
1 answer:
ch4aika [34]3 years ago
6 0
Change f(x) y to make it easier.
y = 1/2x-3
switch y and the x.
x = 1/2y-3
Add 3 to both sides
x+3 = 1/2y
Multiply both sides by 2.
2x+6 = y
Therefore, f^-1(x) = 2x+6
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I need help. this is due in less than 10 min and i have no clue how to solve. any tips appreciated
babymother [125]

Answers:

  • a) x = 9
  • b) arc JK = 68
  • c) arc MJ = 112
  • d) arc LMK = 248

================================

Explanation:

Arcs JK and KL form a semicircle, so they add to 180 degrees

(arcJK) + (arcKL) = 180

(5x+23) + (17x-41) = 180

22x-18 = 180

22x = 180+18

22x = 198

x = 198/22

x = 9

Then you'll use this x value to find arc JK and arc KL

arc JK = 5x+23 = 5*9+23 = 68

arc KL = 17x - 41 = 17*9-41 = 112

Since central angles MNJ and KNL are vertical angles, this means minor arcs MJ and KL are congruent arcs. So arc MJ is also 112 degrees

Arc LMK is basically nearly everything of the full circle, but we exclude out the portion from L to K (the shorter distance)

arc LMK = (full circle) - (measure of minor arc LK)

arc LMK = 360 - 112

arc LMK = 248

8 0
3 years ago
Lin runs 5 laps around a track in ten minutes how many laps per minute
eimsori [14]
2 minutes per lap. I think
6 0
3 years ago
Please help............​
Xelga [282]

Answer:

2x+14

Step-by-step explanation:

(3/4)x-7.3+(5/4)x+21.3

(3/4+5/4)x+21.3-7.3

2x+14

4 0
3 years ago
Ted and Robin each gave a basket of green apples to their friend Lily. Ted’s basket contains 5 apples, each weighing 7 1/4 ounce
AnnyKZ [126]
Robins basket is heavier.
Teds basket: 5x7.25=36.25
Robins basket: 6x6.25=37.5
37.5-36.25= 1.25
It is heavier by 1.25 ounces or 1 and 1/4 ounces
8 0
3 years ago
How many miles would Tegan bike 16 hours?
lions [1.4K]
252 is the answer hope it helps
3 0
3 years ago
Read 2 more answers
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