If g(x) is the inverse of f(x), what is the value of f(g(2))?

Answer:

-11.48

Step-by-step explanation:

-7.2 + (-4.28)

-7.2 - 4.28

-11.48

Answer:

Step-by-step explanation:

From the given information:

a) To express the weekly profit as a function of price

Cost =C(q) = 1500 + 10q

Revenue = p×q = (50 − 0.1q)×q = 50q - 0.1q²

Revenue = 50q - 0.1q²

Weekly profit = Revenue - Cost

P(q) = (50q -0.1q²) - (1500 + 10q)

P(q)= -0.1 q² + 40 q - 1500  

However, q = 500 - 10 p using p = 50 − 0.1q

P= -0.1 (500 - 10 p)² + 40 (500 - 10 p) - 1500

P= -10 p² + 600 p - 6500

b)

The price at which the bottle of the wine must be sold to realise a maximum profit can be determined by finding the derivative and then set it to 0  

P' = 0

= -20p+600 = 0

20p = 600

p = 600/20

p = $30

c)

The maximum profit that can be made by the producer is:

P= -10(30)² + 600(30) - 6500

P = - 9000 + 18000 - 6500

P = $2500

Answer:

c

Step-by-step explanation:

Answer:

12 minutes (1/5 hour)

Step-by-step explanation:

Speed is 500 kmph.

Distance is 100 km.

Time = Distance/Speed = 100 km/500 kmph = 1/5h = 12 minutes.

An.

Step-by-step explanation:

Answer: B  about 13 m

Step-by-step explanation:

Calculate 8²  = 64  and 10² = 100  Add to get 16

Then get √164 = =12.80624847

Round up to 13.  

Answer:

a,y=‒2x+7

Step-by-step explanation:

2x+y=7

y=7‒2x or y=‒2x+7

i think it is easy to understand

Answer: 2 . (7)

Step-by-step explanation:2 7/9 equals to 2.(7)

It is, a so called, 'repeating' decimal

`~hope i helped~

Answer:

[tex]September = 2697[/tex]

Step-by-step explanation:

Given

[tex]June = 1,898[/tex]

[tex]July = 2,643[/tex]

[tex]August = 2,287[/tex]

[tex]Expected = 9,525[/tex]

Required

Number of cans in September

First, we need to determine the total collected can from July to August.

[tex]Total = 1898 + 2643 + 2287[/tex]

[tex]Total = 6828[/tex]

September is then calculated as follows:

[tex]September = 9525 - 6828[/tex]

[tex]September = 2697[/tex]

Hence:

2697 cans are still needed

Answer:

4x

Step-by-step explanation:

m = (y2-y1)/(x2-x1)

m = (9-5)/(3-2)

m = 4

Substitute the values in y= mx + c,

5 = (4)(2) + c

5 = 8 + c

c = -3

Thus, the equation is y= 4x -3

The y intercept is -3 and the slope of line is 4 .

Then the equation of line will be : y= 4x -3

Given,

Points on x and y axis .

Standard equation of line :

y = mx + c

m = slope of line

c = y intercept

Now

Firstly find out the slope of line ,

m = (y2-y1)/(x2-x1)\

m = (9-5)/(3-2)

m = 4

Now to calculate the value of y intercept

Substitute the values in y= mx + c,

5 = (4)(2) + c

5 = 8 + c

c = -3

Thus, the equation is m = (y2-y1)/(x2-x1)

Know more about slope of line,

https://brainly.com/question/14511992

#SPJ2

Answer:-370

Step-by-step explanation:

Answer: 35

Step-by-step explanation: 36−(−4)+5−10 =40+5−10

45-10=35 :) hope this helps!

Answer:

P(A) = 31/1296

P(B) = 125/1296

Step-by-step explanation:

Here, we want to find P(A) and P(B)

Let’s start with A

In a roll of a die, the probability that there will be a 5 is 1/6

The probability of not having a 5 is therefore 1-1/6 = 5/6

So out of four rolls , we want to find the probability of having at least two fives

This means there could be 2, 3 or 4 fives;

For two fives;

We have 2 fives and two non-fives

= (1/6 * 1/6 * 5/6 * 5/6) = 25/1296

For 3 fives;

we have 3 fives and 1 non five

= 1/6 * 1/6 * 1/6 * 5/6 = 5/1296

For 4 fives;

= 1/6 * 1/6 * 1/6 * 1/6 = 1/1296

So the probability of at least two fives is;

1/1296 + 5/1296 + 25/1296 = 31/1296

Event B is the probability that there is at most one five among the four rolls

That means there are 3 non fives and 1 five

P(B) = 1/6 * 5/6 * 5/6 * 5/6 = 125/1296

Answer:

16- this question is already here from other people! :-)

Step-by-step explanation:

Answer:

Stretched vertically by a factor of 17 and translated 17 units left

Step-by-step explanation:

Answer:

1.) f(x)

is translated 17 units left.

2.) ​ f(x)

​is vertically stretched by a factor of 17.

Step-by-step explanation:

Answer:

add 3, add 5, add 7, add 9

Step-by-step explanation:

1+3=4

4+5=9

9+7=16

16+9=25

add by odd numbers, for a simpler answer

Answer:

15

Step-by-step explanation:

i had this on a test

Answer:

J''(- 3, 3 )

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 90°

a point (x, y ) → (- y, x )

Thus J(1, 1 ) → J'(- 1, 1 )

Under a dilatation with scale factor 3, multiply each of the coordinates of J' by 3, that is

J'' = (3(- 1), 3(1)) = (- 3, 3 )

Answer:

i think Point C

Step-by-step explanation:

Because Point A is you walking to the bus stop-

Point B is u waiting at the bus stop-

And point C is u on the bus

Sorry if it didn't help :/

Answer:

The figure becomes congruent

Answer:

If you understand how I solved a you can do B. Keep at it!

Step-by-step explanation:

Answer:

56 = 128-z

Step-by-step explanation:

Answer:

128-z=58

z=70

Step-by-step explanation:

Answer: y = 1.2x + 2

Step-by-step explanation:

slope = (8 - 2)/(5 - 0) = 6/5

y-intercept = (0, 2)

y = (6/5)x + 2

y = 1.2x + 2

Answer:

70 percent

Step-by-step explanation:

first divide your part by your total: 28/40

then multiply the result by 100

so, 28/40=0.7. 0.7×100=70 percent

Answer:

4 [tex]\frac{1}{6}[/tex]

Step-by-step explanation:

When adding fractions, you want to make the denominators of the fraction the same. To do this, we can multiply both the numerator and denominator of 3/4 by 3. When changing either a denominator or numerator in a fraction, you must do the same thing to the numerator as the denominator.

Now we have [tex]\frac{3\cdot3}{4\cdot3} = \frac{9}{12}[/tex]. To add 9/12 and 5/12, we keep the denominator the same, and add the numerators, getting [tex]\frac{9+5}{12} =\frac{14}{12}[/tex]. This is greater than 1, so we can take 12/12 from 14/12, and make it [tex]1 \frac{2}{12}[/tex]. If we then add 3, we get [tex]4 \frac{2}{12}[/tex], which simplifies to [tex]4 \frac{1}{6}[/tex]

Answer:

Step-by-step explanation:

4x + 2 + 3x + 3 = 180

7x + 5 = 180

7x = 175

x = 25

Answer:

1.5t+2=4 and 2/3

1.5t=2 and 2/3

t= 1 and 7/9

Answer:

Step-by-step explanation:

67 - u = 182

67 - 182 = u

-115 = u

Answer:

[tex]d = 2\sqrt{5}[/tex]

Step-by-step explanation:

Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in the 2 coordinates into the distance formula to find distance d:

[tex]d = \sqrt{(1-(-3))^2+(2-4)^2}[/tex]

[tex]d = \sqrt{(1+3)^2+(-2)^2}[/tex]

[tex]d = \sqrt{(4)^2+4}[/tex]

[tex]d = \sqrt{16+4}[/tex]

[tex]d = \sqrt{20}[/tex]

[tex]d = 2\sqrt{5}[/tex]