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Anna007 [38]
3 years ago
6

PLS ANSWER ASAP

Mathematics
1 answer:
Gnoma [55]3 years ago
6 0

9514 1404 393

Explanation:

<h3>Part 1.</h3>

The inverse of a function y = f(x) can be found by solving x = f(y) for y.

When we do that here, we find ...

  x=f(y)\\\\x=\dfrac{y+a}{b}\\\\bx=y+a\\\\y=bx-a

When we compare this to g(x), which we want to be the inverse of f(x), we see that ...

  cx -d = bx -a   ⇒   b=c, and d=a

We can choose a=d=1 and b=c=2 to make the two functions inverses:

  f(x) = (x +1)/2

  g(x) = 2x -1

__

<h3>Part 2.</h3>

The inverse of f(x) is g(x) if f(g(x)) = x.

  f(g(x)) = ((2x -1) +1)/2 = 2x/1 = x . . . . . g is the inverse of f

__

<h3>Part 3.</h3>

Same as Part 2, but in reverse.

  g(f(x)) = 2((x +1)/2) -1 = (x +1) -1 = x

__

<h3>Part 4.</h3>

The attachment is a graph of the two functions and a table of values. The line y=x is the dashed orange line. You will notice that f(x) and g(x) are reflections of each other across that line.

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Sara has 4 baby east , South and west what is the 4 baby called​
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Step-by-step explanation:

<h2>North </h2>

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3 years ago
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Andre and Elena are each saving money. Andre starts with $100 in his savings account and adds $5 per week. Elena starts with $10
stira [4]

Answer:

6 weeks

Step-by-step explanation:

You need to write an equation for each.

For Andre, he has 100 dollars, and every week gets 5 dollars more. You add the 5 dollars, and Since you don't know how many weeks it has been, use a variable.

For Elena, she has 10 dollars, and gets 20 each week.

Now that you know that it has been 4 weeks, you can plug in 4 for the variable for weeks.

Andrew:100+5(4)=100+20+120

Elena: 10+20(4)=10+80=90

Andrew has more money in this time.

To find when they have the same amount, equal their expressions to each other. This means that they will have the same amount (because they are equalled) and you can solve to find the variable, which means the weeks that they are equal at.

Bring the like terms to each side by canceling them out. Since you have positive 10, then subtract 10 to each side. You have 5w, so subtract 5w to each side.

100+5w=10+20w

90+5w=20w

90=15w

90 divided by 15=6

w=6

5 0
3 years ago
Burger town sells cheeseburgers for 7.95 dollars each plus an additional 1.00 for each extra topping, t . Which of the following
Sliva [168]

Answer:

c = 7.95 + (1)t

Step-by-step explanation:

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3 years ago
8:2 in simplest form
Ivanshal [37]

Answer:

4:1

Step-by-step explanation:

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3 years ago
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Help plz!!! 68 Points!!
Mariana [72]

Answer:

Refer below explanation.

Step-by-step explanation:

Given :  two triangles ∆QPK and ∆LMK.

We have to show  ∆QPK ≅ ∆LMK.

Two triangles are similar if ratio of the corresponding sides are equal and measure of corresponding angles are equal.

Statement 1)

QK=16, PK=26, MK=65, KL=40 ( Reason: Given)

Statement 2 )

\frac{QL}{KL}=\frac{16}{40} \\\\\frac{PK}{KM} =\frac{26}{65}

(reason : ratio of corresponding sides)

Statement 3)

\frac{QL}{KL}=\frac{16}{40}=\frac{2}{5} \\\\\frac{PK}{KM} =\frac{26}{65}=\frac{2}{5}

Thus, \frac{QL}{KL}=\frac{PK}{KM} =\frac{2}{5}

(reason: simplify ratios)

Statement 4)

∠MKL = ∠PQK (reason : Vertically opposite angles)

Statement 5)

∆QPK ≅ ∆LMK (reason : Side-angle-side)

Side angle side similarity criterion states that two angles are similar if the ratio of their corresponding sides and angle between these sides are equal then triangles are similar.




5 0
3 years ago
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