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Valentin [98]
4 years ago
8

Which of the following shows the situation below in function notation??

Mathematics
2 answers:
timofeeve [1]4 years ago
4 0
A) because time relies on pages and you are looking for the time it takes to read not the amount of pages.
Mekhanik [1.2K]4 years ago
4 0

Answer: The phrase is "The time it takes to read a book depends on the number of pages in the book"

so the time is the dependent variable and the pages are the independent variable.

Then you will have a function of the form Time(pages) in which you introduce a number of pages (the total number of pages in a book, in this case) and returns the time it takes to read them all. So the correct answer is A.

You might be interested in
Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning.
Sholpan [36]

Answer:

24.2 centimeters

Step-by-step explanation:

for height = f(time)

let x be the value of the height at 28hours

solving linearly

(28 - 15)/(32 - 15) = (x - 19)/(12.2 - 19)

solving we have

13/17 = (x - 19)/6.8

0.7647 = (x - 19)/6.8

cross multiplying,

x - 19 = 5.2

x = 5.2 + 19 = 24.2centimetres

8 0
4 years ago
The owner of a restaurant is designing the floor plan for customers. the first floor plan, has 11tables and 20 booths, which sea
Contact [7]
So.
Booths : B
Tables : T

11T + 20B = 182
11T + 22B = 198
( I found he difference in total.)
198 - 182 = 16
(16 divided by the number of difference in Booths)
16 / 2 = 8
( So each Booth seats 8 people- now plug in for B)
11T + 20(8) = 182
11T + 160 = 182
(Move the 160 over to leave T by itself, subtract since it's a positive number)
11T = 182 - 160
11T = 22
(Move the 11 to find T, divide since it's with a Variable)
T = 2
(Plug in your findings for T and B to check if hey are right.)
11(2) + 20(8) = 182
(22) + (160) = 182
182 = 182

And that's how you do it!

I hope it helps!!

5 0
4 years ago
Please Help
MrRissso [65]

Answer: hi



Step-by-step explanation:


6 0
4 years ago
Neveah has created the function f(x) =the quantity of 2x plus 4, divided by 3 to represent the growth of her hair, where x repre
dangina [55]

Given that:

The function to represent the growth of Neveah hair is

f(x)=\dfrac{2x+4}{3}

where,  x represents the number of months since her last hair cut.

To find:

The inverse of function and time when her hair will have grown 6 inches.

Solution:

We have,

f(x)=\dfrac{2x+4}{3}

Put f(x)=y.

y=\dfrac{2x+4}{3}

Interchange x and y.

x=\dfrac{2y+4}{3}

Isolate y.

3x=2y+4

3x-4=2y

\dfrac{3x-4}{2}=y

Put y=f^{-1}(x).

f^{-1}(x)=\dfrac{3x-4}{2}

So, the required inverse function is f^{-1}(x)=\dfrac{3x-4}{2}. It represents the number of months to grow her hair x inches.

She can predict when her hair will have grown 6 inches by putting x=6 in the inverse function.

Put x=6 in the inverse function.

f^{-1}(6)=\dfrac{3(6)-4}{2}

f^{-1}(6)=\dfrac{18-4}{2}

f^{-1}(6)=\dfrac{14}{2}

f^{-1}(6)=7

Therefore, growth of her hair is 6 inches in 7 months.

3 0
4 years ago
Please explain why. Thanks
xxTIMURxx [149]

<h3><u>Question</u> :-</h3>

Is (x-2) is a factor of x³-3x²-x +7 –

  • Yes
  • No ☑

<h3><u>Explanation</u> :-</h3>

We are given –

  • Polynomial function, P(x) = x³-3x²-x +7

  • In order to check if x - 2 is a factor of x³-3x²-x +7 or not, we must show that P(2) = 0.

  • Let's find value of x!

\qquad \twoheadrightarrow\bf P(x) = x³-3x²-x +7

\qquad \twoheadrightarrow\bf Q(x) =x - 2

\qquad \twoheadrightarrow\bf If \:Q(x) = 0

\qquad \twoheadrightarrow\bf x - 2 = 0

\qquad \twoheadrightarrow\bf x = 2

Now Put x = 2 into the polynomial –

\qquad \purple{\twoheadrightarrow\bf P(2) = 2³-3(2)²-2+7}

\qquad \twoheadrightarrow\sf P(2) = 8 - 3 \times 4 +5

\qquad \twoheadrightarrow\sf P(2) = 8 -12 +5

\qquad \twoheadrightarrow\sf P(2) = 13-12

\qquad \purple{\twoheadrightarrow\bf P(2) =1 }

  • Since the value of the polynomial function st x = 2 is not Zero (0). Henceforth, ( x - 2) is a factor of  x³-3x²-x +7.

________________________________________

5 0
2 years ago
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