Which equation best represents Fallon's earnings in terms of Donald's earnings?

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

tres amigos reinaldo, yasir y jefferson tienen como profesiones medico, ingeniero y profesor, sin que sepamos cual de ellas corr

zimovet [89]

Answer:

Reinaldo es ingeniero

Step-by-step explanation:

Por los datos del problema sabemos que Jeferson es casado. También sabemos que el profesor se casará pronto, así que:

Jeferson no es profesor

Reinaldo debe tomar el metro para visitar al médico, así que no es vecino de ninguno. Como el médico y el profesor son vecinos, entonces Reinaldo no es médico ni profesor, asi que

Reinaldo es ingeniero

Podemos saber además que si Jeferson no es profesor (ya demostrado) ni tampoco es ingeniero, entonces

Jeferson es médico

Por descarte, Yasir es profesor

4 0

4 years ago

A graph that displays a collection of ordered pairs is called a ___.

Simora [160]

Answer:

scatter plot. i believe.

Step-by-step explanation:

4 0

3 years ago

Consider the following functions.

spin [16.1K]

The value of $(f+g)(1)$ is 3.

In this question we must apply the definition of addition between functions, whose operation is described below:

$(f+g) (x) = f(x) + g(x)$ (1)

$(x, (f+g)(x)) = (x, f(x))+(x, g(x))$ (1b)

If we know that $(x, f(x) ) = (1,1)$ and $(x,g(x)) = (1,2)$ , then the result of the operation is:

$(1, (f+g) (1)) = (1, 3)$

The value of $(f+g)(1)$ is 3.

We kindly invite to check this question on functions: brainly.com/question/12431044

4 0

3 years ago

Find the equation of the line that goes through the point ( 6, 5) and has a slope of 1/3

PSYCHO15rus [73]

Answer (<u>assuming it can be slope-intercept form)</u>:

$y = \frac{1}{3} x +3$

Step-by-step explanation:

Since we already know a point the line intersects and its slope, we can use the point-slope formula $y-y_1 = m (x-x_1)$ to write an equation, then convert it to slope-intercept form.

Substitute values for $m$ , $x_1$ , and $y_1$ . Since $m$ represents the slope, substitute $\frac{1}{3}$ in its place. Since $x_1$ and $y_1$ represent the x and y values of one point the line intersects, use the x and y values of (6,5) and substitute them into the equation. Substitute 6 for $x_1$ and 5 for $y_1$ . Then, isolate y to put it into slope-intercept form and find an answer:

$y -5 = \frac{1}{3} (x-6)\\y-5 = \frac{1}{3}x-2\\y = \frac{1}{3} x+3$

7 0

3 years ago