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vladimir2022 [97]
3 years ago
14

Help how do i solve this for the inverse

id="TexFormula1" title="f(x) = \frac{x - 2}{3} " alt="f(x) = \frac{x - 2}{3} " align="absmiddle" class="latex-formula">
Mathematics
2 answers:
Vanyuwa [196]3 years ago
7 0

Answer:

\boxed{f^{-1}(x)=3x+2}

Step-by-step explanation:

f(x)=\dfrac{x-2}{3}\to y=\dfrac{x-2}{3}\\\\\text{exchange x and y}\\\\x=\dfrac{y-2}{3}\\\\\text{solve for y}\\\\\dfrac{y-2}{3}=x\qquad\text{multiply both sides by 3}\\\\y-2=3x\qquad\text{add 2 to both sides}\\\\y=3x+2

Karolina [17]3 years ago
3 0

Answer:

The inverse function is 3x+2

Step-by-step explanation:

To get the inverse function exchange x and y  and then solve for y

y = (x-2)/3

Exchange x and y

x = (y-2)/3

Solve for y

Multiply by 3

3x = 3/3 *(y-2)

3x = y-2

Add 2 to each side

3x+2 = y-2+2

3x+2 =y

The inverse function is 3x+2

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Need answer please show work
Jet001 [13]

Let us set up some variabe:

  • height: h
  • base: b

Use the known information:

  • b = 2h + 8

Now lets find the area

   Area = (1/2) * b *h = (1/2) * h * (2h + 8)

Hope that helps!

7 0
2 years ago
Given: ∆PQR, m∠R = 90° m∠PQR = 75° M ∈ PR , MP = 18 m∠MQR = 60° Find: RQ
tensa zangetsu [6.8K]

Answer:    RQ= 8.99 ( approx)

Step-by-step explanation:

Let MR= x

Since, In triangle, PRQ, tan 75°= \frac{18+x}{RQ}

⇒ RQ=  \frac{18+x}{tan 75^{\circ}}

Now, In triangle MRQ,

tan 60°= \frac{18+x}{RQ}

⇒ RQ=  \frac{x}{tan 60^{\circ}}

On equating both values of RQ,

\frac{18+x}{tan 75^{\circ}}=\frac{x}{tan 60^{\circ}}

⇒\frac{18+x}{x}=\frac{tan 75^{\circ}}{tan 60^{\circ}}

⇒\frac{18+x}{x}=\frac{tan 75^{\circ}}{tan 60^{\circ}}

⇒\frac{18+x}{x}=2.15470053838

⇒18=2.15470053838x-x

⇒x=15.5884572681≈15.60

Thus RQ=8.99999999999≈8.99


6 0
3 years ago
2/8 + 6/12 what is that eqaul to
Papessa [141]
\frac{2}{8} +  \frac{6}{12} \\ \\  \frac{1}{4} +  \frac{1}{2} \\ \\ LCD = 4 \\ \\  \frac{1}{4} +  \frac{2}{4} \\ \\  \frac{1+2}{4} \\ \\  \frac{3}{4} \\ \\ Answer: \fbox {3/4} \ or \ \fbox {0.75}
8 0
3 years ago
Read 2 more answers
Julie wants to purchase a new home in six years. She thinks that she can purchase a nice home in a good neighborhood for $60,000
MrMuchimi

Answer:

$208.33

Step-by-step explanation:

Julie has to make the down payment which is 25% of $60000 after saving for 6 years.

Therefore, Julie has to save a total of 60000 \times \frac{25}{100} = 15000 dollars.

And Julie has to save it for the duration of 6 years i.e. (6 × 12) = 72 months.

Hence, Julie has to save \frac{15000}{72} = 208.33 dollars every month to make the down payment after 6 years. (Answer)

7 0
3 years ago
Help please! (no one was answering it in physics and i really need help)
aivan3 [116]

Let v_0 be the cat's speed just as it leaves the edge of the table. Then taking the point 1.3 m below the edge of the table to be the origin, the cat's horizontal position at time t is given by

x(t)=v_0t

and its height is

y(t)=1.3\,\mathrm m-gt^2

where g is 9.8 m/s^2, the magnitude of the acceleration due to gravity.

The time it takes for the cat to hit the ground is t with

0=1.3\,\mathrm m-gt^2\implies t=\sqrt{\dfrac{1.3\,\rm m}g}\approx0.36\,\mathrm s

(Unfortunately, this doesn't match any of the given options...)

The cat lands 0.75 m away (horizontally) from the edge of the table, so that its speed v_0 was

0.75\,\mathrm m=v_0(0.36\,\mathrm s)\implies v_0\approx2.08\dfrac{\rm m}{\rm s}

(Again, not one of the answer choices...)

I'm guessing there's either a typo in the question or answers.

6 0
3 years ago
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