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r-ruslan [8.4K]
3 years ago
10

Which expression is equivalent to

Mathematics
1 answer:
slavikrds [6]3 years ago
3 0

Answer:

Can you please make the question more clear, then we'll be able to help you.

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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
The table on the left is that of a linear function, and the one on the right is that of an exponential function. Can you tell wh
Brut [27]

The correct answer is D.

As you can see, the exponential function grows by doubling the previous output with each increment of the input: start with 1, you double it to get 2, then you double it to get 4, 8 and so on.

On the other hand, the linear function adds 7 with each step. This means that the exponential function will eventually reach and pass the linear one, and will definitely be grater from that point on. In fact, if we continue the table, we get

\begin{array}{c|c|c}\text{x value}&\text{linear}&\text{exponential}\\4&28&8\\5&35&16\\6&42&32\\7&49&64\\8&56&128\\9&63&256\end{array}

and you can see how the exponential growth is much faster than the linear one.

6 0
3 years ago
Is 0.009 greater or less than .9
Ede4ka [16]
It is equal to. I think its because the zeros don't count
4 0
3 years ago
Who wanna play yugioh on z0om??? Also u get 75 points for answering :)
stepan [7]

Answer:

I would :((( But I dont have z00m srry :(

Step-by-step explanation:

Have a nice dayyyyy <3

7 0
3 years ago
Read 2 more answers
Pls help! I need to know if this is right! 50 points!
Sedaia [141]

Answer: B) (x-1)2+(y+1)2= 25 radius = 5 miles

Step-by-step explanation:

In order to get this answer you see that you are adding a negative to x in the first part then multiplying it by 2. Second, you add y+1 then multiplying it by 2. You get the radius of 25 which equals 5 miles. Look at the graph to also check your answers to the problem.

4 0
4 years ago
Read 2 more answers
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