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borishaifa [10]
4 years ago
10

What is the inverse of the function f(X) = 1/9 X + 2

Mathematics
1 answer:
Dominik [7]4 years ago
3 0
X+18/9 is the answer .
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The Us based motorcycles says that it expects to build 147,000 motorcycles this year, up from 137,000 last year. Find the percen
Montano1993 [528]
The answer should be about 7.3%. You can divide 147000 by 137000 to get about 1.0729. Subtract the one (as it represents 100%) and then convert the decimal into a percent. So 0.0729 would convert to 7.29%, but typically this would be rounded up to 7.3%. If it does not say to round up then don't.
5 0
3 years ago
Which is the inverse of the function f(x) = x - 9?АО1f-1(x) =x + 9B.f-'(x) = x + 9CO $-+(x) = 9 - *D.F-'-) =-X-9
kirill [66]

To solve for the inverse of the function given;

f(x)=x-9

We begin by re-writing the function as follows;

y=x-9

To now find the inverse, we interchange y for x, and vice versa, as shown below;

\begin{gathered} y=x-9 \\ \text{Now becomes;} \\ x=y-9 \end{gathered}

We now find the value of y;

\begin{gathered} x=y-9 \\ \text{Add 9 to both sides;} \\ x+9=y-9+9 \\ x+9=y \\ y=x+9 \\ \text{Therefore;} \\ f^{-1}(x)=x+9 \end{gathered}

ANSWER:

The correct answer is option B;

f^{-1}(x)=x+9

8 0
1 year ago
Please help me immediately ​
katen-ka-za [31]

Answer:

112 m³

Step-by-step explanation:

Let's calculate first the voulume of the tank

the volume of thi tank is given by :

  • V = l*w*h
  • l is the length
  • w is the width
  • h is the height

so the volume is :

  • V = 4*12*3.5
  • V=168 m³

Multiply by 2/3 to get the volume of the water

  • V' = 168*(2/3)
  • V' = 112 m³
3 0
3 years ago
Read 2 more answers
Identify is this is percent increase or percent decrease, then calculate percentage
vlabodo [156]

<em>Last year the chess club had 30 members. This year the club has 24 members. </em>

Last year, the chess club had 30 members. This year, the club has 24 members. Since this year had less than last year ( 30 > 24), the percent will be decreasing.

To find the percent decrease, you have to use the following formula.

\frac{Difference}{Original} \times 100

Difference refers to the difference between the two numbers, 24 and 30. The difference between 24 and 30 is 6. Original refers to the original number, which is last year's amount of members in the chess group. Therefore, original = 30.

Substitute the numbers into the formula.

\frac{Difference}{Original} =\frac{6}{30} =0.2

To convert the decimal to a fraction, multiply the decimal by 100.

0.2 \times 100 = 20 \%

The answer is the number of chess members decreased by 20%.

____

Since I started off by identifying whether it was decreasing or increasing, I did the work a bit differently. When finding the difference, you would usually subtract 30 from 24, which results in -6. Above I used 6, but if you used -6, you would end up with a result of -20%, which means it decreased by 20%. They bot end up with the same result, but you don't always have to first identify whether it's decreasing or increasing.

____

3 0
3 years ago
Marie mixes 20 liters of 12% acid solution with a 36% acid solution to make a 20% acid solution. How many liters of 36% solution
kykrilka [37]
Use c1v1+c2v2=c3v3
where c=concentration, v=volume.

C1=0.12
V1=20 L
C2=0.36
V2=X
C3=0.20
V3=20+X L

Substitute in equation
0.12(20) + 0.36X = 0.20(20+X)
Expand 
2.4 + 0.36X = 4 + 0.2X
Simplify
(0.36-0.2)X = 4-2.4
0.16X = 1.6
X=1.6/0.16 = 10 L

check:
0.12(20)+0.36(10)=2.4+3.6=6.0
(20+10)*0.20 = 6.0  so solution is good.

Answer: Volume of 36% solution is 10L
6 0
3 years ago
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