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kramer
3 years ago
15

Solve for x: 3/4 + 2/3 + 8/9 = 2 x/36 Algebra 2

Mathematics
1 answer:
ioda3 years ago
7 0

Answer:

x = 11

Step-by-step explanation:

<u>Steps as below:</u>

  • 3/4 + 2/3 + 8/9 = 2 x/36
  • 3*9/4*9 + 2*12/3*12 + 8*4/9*4 = 2 x/36
  • 27/36 + 24/36 + 32/36 = 2 x/36
  • 83/36 = 2 x/36
  • 2 11/36 = 2 x/36
  • x= 11
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Given that f(x) = x + 3<br> a) Find f(2)
Nataly_w [17]

{ \qquad\qquad\huge\underline{{\sf Answer}}}

Here we go ~

In the above question, it is given that :

\qquad \sf  \boxed{ \sf f(x) =  \frac{x + 3}{2} }

A.) Find f(2) :

\qquad \sf  \dashrightarrow \: f(2) =  \dfrac{2 + 3}{2}

\qquad \sf  \dashrightarrow \: f(2) =  \dfrac{5}{2}

or

\qquad \sf  \dashrightarrow \: f(2) = 0.5

B.) Find { \sf {f}^{-1}(x) } :

\qquad \sf  \dashrightarrow \: let \: y = f (x)

so, we can write it as :

\qquad \sf  \dashrightarrow \: y =  \dfrac{x + 3}{2}

\qquad \sf  \dashrightarrow \: 2y = x + 3

\qquad \sf  \dashrightarrow \: x = 2y - 3

Now, put x = { \sf {f}^{-1}(x) }, and y = x and we will get our required inverse function ~

\qquad \sf  \dashrightarrow \: f {}^{ - 1}(x) = 2x- 3

C.) Find { \sf {f}^{-1}(12) } :

\qquad \sf  \dashrightarrow \: f {}^{ - 1}(12) = 2(12)- 3

\qquad \sf  \dashrightarrow \: f {}^{ - 1}(12) = 36- 3

\qquad \sf  \dashrightarrow \: f {}^{ - 1}(12) = 33

7 0
8 months ago
It takes 23 minutes for 6people to paint 6 walls.
Step2247 [10]

It would take 9 people 34.5 minutes to paint 9 walls.

23 divided by 6 equals 3.83. That is how many minutes it takes one person to paint one wall. Multiply 3.83 by 9 and you get your answer, 34.5 minutes.

5 0
3 years ago
What is the solution of the system? Use elimination. 7x + 5y = 19 −7x − 2y = −16
netineya [11]

Make the coefficient of y the same in both equations:

To do this, multiply equation one by 2, and equation two by 5 (this will make the coefficient 10 in both).

14x + 10y = 38
-35x - 10y = -80


Eliminate the y variable by adding the equations from each other

   (14x + 10y = 38)
+ (-35x - 10y = -80)
=  -21x +  0y  = -42

We now have -21x = -42. The y variable has been eliminated.


Solve for x

-21x = -42

Divide both sides by -21 to get x on its own.

x = 2


Substitute x into the equation to find y.

7*2+5y=19

14+5y=19

Subtract 14 from both sides.

5y=19-14

5y=5

Divide by 5 on both sides to get y on its own.

y=5/5

y=1


The answer is (2,1)


8 0
3 years ago
Help will mark Brainliest
nevsk [136]
I think 4 3/4
Hope this helps
8 0
2 years ago
Clarissa helps her mom put the 200-Newton lawn mower in the back of her mom’s truck. They lift the mower up from the ground to t
mihalych1998 [28]

Answer:

220 N * m or 220 J

Step-by-step explanation:

We have that the work formula would be the applied force multiplied by the distance traveled, that is:

W = F * d

In this case the F is 200 N and the distance is 1.1 meters, therefore we replace:

W = 200 * 1.1

W = 220 N * m = 220 J

Therefore the work carried out by Clarissa and her mom is 200 joules.

6 0
3 years ago
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