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3 years ago

If g(x) is 11 then what is x

1 answer:

5 0

If g is the inverse of a function f and
, then g'(x) is equal to

Solution :

differentitate wrt x

(f(g(x))) = 1 + (g(x))^5
g'(x) = 1 + (g(x))^5

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PLEASE HELP ASAP GIVING BRAINLIEST

Lady_Fox [76]

Answer:

Part 1) $y=32.5x+11.95$

Par 2) see the explanation

Part 3) $\$401.95$

Step-by-step explanation:

Part 1) Write an equation in slope intercept form to represent this problem

Let

x ----> the number of tickets

y ---> the total cost

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope or unit rate

b is the y-intercept (one-time processing fee)

In this problem we have

$b=\$11.95$

ordered pairs (4,141.95) and (7,239.45)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values in the formula

$m=\frac{239.45-141.95}{7-4}$

$m=\frac{97.5}{3}$

$m=32.5$

substitute the values in the linear equation

$y=32.5x+11.95$

Part 2) What does your slope represent in this problem? What does your y-intercept represent in this problem?

a) The slope of the linear equation represent the unit rate, so the slope represents the cost of one ticket

$m=\$32.5\ per\ ticket$

b) The y-intercept is the value of y when the value of x is equal to zero

In this context, the y-intercept represent the one-time processing fee

$b=\$11.95$

Part 3) Use the equation to find how much Alan would have to pay for 12 tickets

For x=12 tickets

substitute in the linear equation

$y=32.5(12)+11.95$

$y=\$401.95$

3 0

4 years ago

Help guys show your solution

irinina [24]

Answer:

Profit = $\frac{80p+170}{p}$

Step-by-step explanation:

Cost of the Yield = $\frac{100p+200}{p}$

Cost of the labour = $\frac{10p+50}{p}$

Cost of the fertilisers = $\frac{10p - 20}{p}$

Total expenses = $\frac{10p + 50}{p} + \frac{10p - 20}{p} = \frac{20p + 30}{p}$

Profit = Cost of yield - Total expenses

$=>\frac{100p + 200}{p} - \frac{20p + 30}{p}$

$=> \frac{80p + 170}{p}$

3 0

3 years ago

How do the lengths of line segments define the golden ratio?

NISA [10]

Answer:

$\frac{a+b}{a}=\frac{a}{b}$

Step-by-step explanation:

The golden ratio is a special number favored by the Greeks. Its ratio roughly equals 1.618. The ratio is formed by taking a line segment and dividing it into two parts labeled a and b. The golden ratio is formed when this proportion is true $\frac{a+b}{a}=\frac{a}{b}$ .

When you add a and b then divide by a, it will be the same as a divided by b. This will hold true only for specific lengths of a and b. This means you must divide the line segment in such a way that a and b meet this requirement.

Example:

If the line segment is 50 cm long. Split the segment into parts a and b where a = 30.9 and b = 19.1. Substitute the values into the proportion $\frac{a+b}{a}=\frac{a}{b}$ .

$\frac{30.9+19.1}{30.9}=\frac{30.9}{19.1}$