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Helga [31]
3 years ago
7

Place the steps for finding f -1(x) f(x)=2x+5

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
3 0

Answer:

f^{-1}(x) = \frac{x-5}{2}

Step-by-step explanation:

f(x) = 2x+5

Step 1) Replace y = f(x)

y = 2x+5

Step 2) Exchange x and y

x =2y+5

Step 3) Solve for y

x =2y+5

Subtracting both sides by -5

x - 5= 2y

2y = x-5

Dividing both sides by 2

y = \frac{x-5}{2}

Step 4) Replace y = f^{-1}(x)

f^{-1}(x) = \frac{x-5}{2}

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What the equations are
strojnjashka [21]
So, first lets define our variables: 
 
let x = the number of dimes
let y = the number of nickels

so our first equation would be x+y = 16

Since dimes are 10 cents and nickels are 5 cents the next equation would be as follows: 

.10x+.05y = 1.35

now change the first equation so y = -x+16
now substitute:

.10x+.05(-x+16) = 1.35
then multiply so you get .10x+-.05x+0.8=1.35

combine like terms and you get .05x+0.8 = 1.35
then subtract 0.8 from both sides and you get .05x = 0.55 then subtract
and you get x = 11 then substitute 11 for where x should be and you should get y = 5

So, you have 11 dimes and 5 nickels 
6 0
4 years ago
Can someone explain to me the meaning of x<-10
AlexFokin [52]

Answer:  x<-10

Step-by-step explanation:

the < in the math equation means that the number to the right is greater than the number to the left.   x can not be -10 it has to be lower (smaller).

3 0
4 years ago
Read 2 more answers
Please help ASAP !! :)
Mila [183]

Answer:

  1. temperature is decreasing as time passes
  2. x-axis
  3. hot drink temperature (°C)

Step-by-step explanation:

1. Each value of temperature is lower than the one previous, so we can say the temperature is decreasing. We also notice that the rate of decrease is getting smaller, possibly because the temperature is approaching a horizontal asymptote.

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2. The horizontal axis, where temperature is plotted, is conventionally called the x-axis.

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3. The label on the vertical axis is "temperature" and the graph title is "cooling a hot drink ...", so we presume the dependent variable is the temperature of a hot drink.

7 0
4 years ago
Easy question Give a formula used for finding the area of a square. Then use the formula to find the area of a square with a sid
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A=s^2

A=6.3^2

(A=6.3x6.3)


And your answer would be:


A=39.69cm^2

4 0
4 years ago
Giving brainliest! Please show the working out
tiny-mole [99]

Answer:

see explanation

Step-by-step explanation:

(a)

OC = OB ( both radii of the circle )

Thus Δ BOC is isosceles with congruent base angles.

∠ BOC = ∠ BCO = 50°

(b)

∠ ACB = 90° ( angle in a semicircle ), then

∠ ACO = 90° - 50° = 40°

OA = OC ( both radii of the circle )

Thus Δ ACO is isosceles with congruent base angles.

∠ BAC = ∠ ACO = 40°

7 0
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