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vova2212 [387]
3 years ago
10

Can anyone help please????

Mathematics
1 answer:
Nesterboy [21]3 years ago
6 0

Answer:

Option A. (f_of^{-1})(-2)=-2

Step-by-step explanation:

Point to remember while solving the question of function,

(f_of^{-1})(x)=x

Here, 'f' is the parent function and f^{-1} is the inverse of the function 'f'.

So for the given function,

f(x) = 2x - 2

(f_of^{-1})(x)=x

For x = -2

(f_of^{-1})(-2)=(-2)

Therefore, Option A will be the correct answer.

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A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. Three h
neonofarm [45]

Answer:

  • 50 ft by 75 ft
  • 3750 square feet

Step-by-step explanation:

Let x represent the length of the side not parallel to the partition. Then the length of the side parallel to the partition is ...

  y = (300 -2x)/3

And the enclosed area is ...

  A = xy = x(300 -2x)/3 = (2/3)(x)(150 -x)

This is the equation of a parabola with x-intercepts at x=0 and x=150. The line of symmetry, hence the vertex, is located halfway between these values, at x=75.

The maximum area is enclosed when the dimensions are ...

  50 ft by 75 ft

That maximum area is 3750 square feet.

_____

<em>Comment on the solution</em>

The generic solution to problems of this sort is that half the fence (cost) is used in each of the orthogonal directions. Here, half the fence is 150 ft, so the long side measures 150'/2 = 75', and the short side measures 150'/3 = 50'. This remains true regardless of the number of partitions, and regardless if part or all of one side is missing (e.g. bounded by a barn or river).

6 0
3 years ago
What equation of a line is parallel to y=3/5x+2
lozanna [386]

Answer:

any equation that has the same slope as the original line (3/5x)

Step-by-step explanation:

examples:

y= 3/5x + 5

y= 3/5x - 3

8 0
3 years ago
No links or wrong answers please!! 55 points
juin [17]

The areas of the figures are 4(x + 1), 7(d + 4) and y(y + 3)

<h3>How to determine the total areas?</h3>

<u>The figure 1</u>

In this figure, we have

Length = x + 1

Width = 4

The area is calculated as:

Area = Length * Width

So, we have

Area = 4(x + 1)

<u>The figure 2</u>

In this figure, we have

Length = d + 4

Width = 7

The area is calculated as:

Area = Length * Width

So, we have

Area = 7(d + 4)

<u>The figure 3</u>

In this figure, we have

Length = y + 3

Width = y

The area is calculated as:

Area = Length * Width

So, we have

Area = y(y + 3)

Hence, the areas of the figures are 4(x + 1), 7(d + 4) and y(y + 3)

Read more about areas at:

brainly.com/question/24487155

#SPJ1

4 0
2 years ago
How to find the slope of the line
finlep [7]

Answer:

Get a line of which you want to know the slope. Make sure that the line is straight.

Pick any two coordinates that the line goes through. Coordinates are the x and y points written as ( x, y ).

Pick which point's coordinates are dominant in your equation. ...

Set up the equation using the y-coordinates on top and the x-coordinates on bottom.

4 0
3 years ago
What is the fifth term of the geometric sequence? 5, 15 , 45, ...
Virty [35]

The geometry sequence has the equation a(n)=5(3^{n-1}).

The 5 represents the first number of the sequence and the 3 represents the common ratio.

a(5) = 5(3^{5-1})=5(3^{4})=5(81)=405

answer: 405

6 0
3 years ago
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