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gayaneshka [121]
3 years ago
9

What is the meaning of this notation, f^-1(x)?

Mathematics
1 answer:
kogti [31]3 years ago
5 0

Answer:

Notation. The inverse of the function f is denoted by f -1 (if your browser doesn't support superscripts, that is looks like f with an exponent of -1) and is pronounced "f inverse". ... The inverse of a function does not mean the reciprocal of a function.

Step-by-step explanation:

I hope this helps you!

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If B is the midpoint of AC, and AC= 8x-20, find BC.
Semmy [17]

Answer:

BC = 4x-10

Step-by-step explanation:

\because B is the midpoint of AC.

\therefore BC = \frac{1}{2} AC

\therefore BC = \frac{1}{2} (8x-20)

\therefore BC = \frac{1}{2} \times 2(4x-10)

\huge \purple {\boxed {\therefore BC = 4x-10}}

5 0
2 years ago
Which coordnates represent a point on the graph of 3y = 5x - 13?
Elena L [17]
(x,y)
sub given points and see if true

A, (0,-13)
x=0
y=-13
3(-13)=5(0)-13
-39=0-13
-39=-13
false (other user was just guessing)

B. (3,1)
x=3,
y=1
3(1)=5(3)-13
3=15-13
3=2
false

C. (7,7)
x=7
y=7
3(7)=5(7)-13
21=35-13
21=22
false

D. (-6,-1)
3(-1)=5(-6)-13
-3=-30-13
-3=-43
false

answer is none of them

3 0
3 years ago
-5|4y-11|-3=12<br> Please answer with the steps
iren [92.7K]
-5║4y-11║-3=12
-5║4y-11║-3 +3=12+3
- 5║4y-11║=15
-5/5║4y-11║=15/-5
║4y-11║=-3

4y-11=-3 -5║4y-11║-3=12
4y-11+11=-3+11 -5║4(2)-11║-3=12
4y=8 -5║-3║-3=12
4y/4=8/4 -5 (3)-3=12
y=2 -18≠12

4y-11=3 -5║4y-11║-3=12
4y-11+11=3+11 -5║4(7/2)-11║-3=12
4y=14 -5(3)-3=12
4y/4=14/4 -18≠ 12
y=7/2

No solutions









3 0
3 years ago
Item 11
zhannawk [14.2K]

Answer:

Amount\ of\ sales=\$ 6000

Step-by-step explanation:

Let\ total\ sales=x\\\\Commission=3\%\ of\ total\ sale\\\\Commission=3\%\ of\ x\\\\It\ is\ given\ that\ salesperson\ gets\ \$ 180\ as\ commission.\\\\3\%\ of\ x=180\\\\\frac{3}{100}x=180\\\\x=\frac{180\times 100}{3}\\\\x=60\times 100\\\\x=6000\$\\\\Amount\ of\ sales=\$ 6000

8 0
3 years ago
When Fritz drives to work his trip takes 35 minutes, but when he takes the train it takes 15 minutes. Find the distance Fritz tr
inn [45]

Answer:

35 miles

Step-by-step explanation:

Let's say Fritz travels at x miles per hour via train and y miles per hour via car.

(speed of car) + 80 miles per hour = speed of train

y + 80 = x

Speed * time = distance

Speed of train * time of train = distance = speed of car * time of car

x * 15 minutes = y * 35 minutes

convert minutes to hours since miles per hour is in terms of hours

60 minutes = 1 hour

15 minutes = ? hours

multiply 15 minutes by 1 hour/60 minutes. since 60 minutes = 1 hour, we can divide both sides by 60 minutes to get 1 hour/60 minutes = 1. we can always multiply by 1, so we do that here. note that the minutes are in the denominator so the 15 minutes cross out with the 60 minutes, leaving us with only hours as our unit.

15 minutes = 15 minutes * 1 = 15 minutes * 1 hour/60 minutes = 15/60 hours = 3/12 hours

similarly, 35 minutes * 1 hour/60 minutes = 35/60 hours = 7/12 hours

x * 15 minutes = y * 35 minutes

x * 3/12 hours = y * 7/12 hours

plug y+80 in for x

(y+80) * 3/12 hours = y * 7/12 hours

(3/12) * y + 20 = (7/12) * y

subtract (3/12) * y from both sides to isolate the variable (y) and its coefficient

20 = (4/12) * y

multiply both sides by 12/4 (the inverse of the coefficient) to get rid of the coefficient

20*12/4 = y = 60

y = 60 miles per hour

x = y + 80 = 140 miles per hour

distance = x * 3/12 hours = 140 miles/hour * 3/12 hours= 35 miles

8 0
1 year ago
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