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3 years ago

If f(x) = 6x + 3, find −1 ().

Mathematics

1 answer:

lianna [129]3 years ago

6 0

Answer:

$f^{-1}(x)=(1/6)x-(1/2)$

Step-by-step explanation:

we have

$f(x)=6x+3$

Find the inverse function $f^{-1}(x)$

step 1

Let

y=f(x)

$y=6x+3$

step 2

Exchanges variables, x for y and y for x

$x=6y+3$

step 3

isolate the variable y

$x=6y+3$

$6y=x-3$

$y=(1/6)x-(1/2)$

step 4

Let

$f^{-1}(x)=y$

$f^{-1}(x)=(1/6)x-(1/2)$

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Given that circumference of a circle is 44m. Calculate it's area

dimaraw [331]

Answer:

Area=154.062 $m^{2}$

Step-by-step explanation:

As Circumference of a circle is given by;

$C=2\times \pi\times r$

As the circumference is 44m so we can calculate the value of r by using the above formula.

$44=2\times \pi \times r\\\\\frac{44}{2\pi} =r\\\\\implies r=\frac{22}{\pi} =7.003 m$

Now to Calculate the Area of a Circle.

As the area of a circle is,

$Area =\pi \times r^{2}\\ Area=\pi \times (7.003)^{2} \\Area=\pi \times 49.039\\Area=154.062m^{2}$

3 0

2 years ago

PLEASE HELP ASAP!!!!!!!!!!! Giving BRAINLIEST!!!

Anna [14]

The answer that I got was 7

5 0

2 years ago

What is the best estimate for the number of people in line at 7.A.M

Keith_Richards [23]

We have been given the equation

$y=-5.131x^2+31.821x-3.333$

It represents the number of people standing to catch a commuter train x hours after 5 A.M.

Now, in order to find the number of people in line at 7 a.m. , we need to substitute x= 2 in the above equation.

$y(2)=-5.131(2)^2+31.821(2x)-3.333\\y(2)= 39.785 \approx 40$

Therefore, the number of people in the line at 7 a.m. is 40

D id the correct option.

5 0

3 years ago

Is 4/12 equal to 7/28?

mars1129 [50]

4/12= 1/3

7/28= 1/4

no they are not equal

6 0

3 years ago

Read 2 more answers

Help picture below problem 9

nadya68 [22]

Solution :-

Here, we have been given that lines f and g are parallel. Thus, the angle measuring 135° and ∠2 are vertically opposite angles.

And we know that vertically opposite angles measure same. Thus,

∠2 = 135°

And,

∠2 + ∠6 = 180° ( Co - interior angles sum up to 180° )

135° + ∠6 = 180°

∠6 = 180° - 135°

∠6 = 45°

Now,

we see that ∠6 and ∠5 are making a linear pair of angles, and we know that angles in a linear pair measure 180° Thus,

∠5 + 45° = 180°

∠5 = 180° - 45°

∠5 = 135°

Thus, the value of angle 5 is 135°

Hope that helps. :)

4 0

2 years ago