Can someone help me with this its due soon

P (n), given below, is the price P in dollars for n grams of vitamins.P(n)=0.4n+5.7Complete the following statements.

Amanda [17]

(a)

In the function P(n) = 0.4n +5.7, P(n) is price of n grams of vitamins. So for the function x = P(n); x is price of n grams of vitamins.

The inverse of function determine amount of the vitamins for the known price of x dollars. So answer is,

The amount of vitamins (in grams) for a price of x dollars.

(b)

Let P(n) = x, So

$x=0.4n+5.7$

Replace n by x and x by n in the given equation.

$n=0.4x+5.7$

Simplify the equation for x.

$\begin{gathered} n+0.4x+5.7 \\ n-5.7=0.4x \\ x=\frac{n-5.7}{0.4} \\ =\frac{10n-57}{4} \end{gathered}$

So inverse of function is after interchange of variables,

$P^{-1}(x)=\frac{10x-57}{4}$

(c)

Substitute 8.3 for x in the inverse equation to obtain the valur of P^-1(8.3).

$\begin{gathered} P^{-1}(8.3)=\frac{10\cdot8.3-57}{4} \\ =\frac{83-57}{4} \\ =\frac{26}{4} \\ =6.5 \end{gathered}$

So answer is 6.5.

7 0

1 year ago

HELP! You might have to zoom in

xeze [42]

Remember slope is $\dfrac{rise}{run}$ . In the graph we can just pick two points on the line to find the rise and run between. Let's say we choose (0,3) and (1,7). Between those points there is 7-3=4 rise and 1-0=1 run. So the slope is $\dfrac{4}{1}=\boxed{4}$

5 0

4 years ago

PART A: Maria rented a coat at $285 for 3 days. If she rents the same coat for 60 days, she has to pay a total rent of $510. Wri

Dmitriy789 [7]

<span>1) Name the variables

Number of days: x

rent: y

2) state the initial points

   x           y
days        $

3           285

60           510

3) assume linear relation:

=> (y - yo) / (x - xo) = (y1 - yo) / (x1 - xo)

=> (y - 285) / (x - 3) = (510 - 285) / (60 - 3)

=> (y - 285) / (x - 3) = 225 / 57 = 75 / 19

=> 19 (y - 285) = 75 (x - 3)

=> 19y - 19*285 = 75x - 75*3

=> 19y - 75x = 5415 - 225

=> 19y - 75x = 5190

=> standar form = -75x + 19y = 5190

PART B: Write the equation obtained in Part A using function notation.

-75x + 19y = 5190

=> 19y = 5190 + 75x

=> y = 5190/19 + (75/19)x

=> function notation = f(x) = (75/19)x + 5190 / 19

PART C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals.

1) Coordinate axes:

x: number of days

y: rent

2) draw the two given points: (3,285) and (60, 510)

3) draw the line that joins those points from the interception of the y-axis until some points further (60, 510).
</span>

6 0

3 years ago

Find the slope of the line through each pair of point

Rashid [163]

The slope of the line passes through (-6, 3) and (1, 5) is $\frac{2}{7}$