MATHEMATICS HIGH SCHOOL

Let f(x) = x^2 – 81. Find f–1(x).
Can someone double-check what I have?

Answers

Answer 1
Answer: For the answer to the question above, if you are just checking your answer, I'll just show the solution. Is it just ok?
f(x) = x2 - 81 
y = x^2 - 81 
x = y^2 - 81 
x + 81 = y^2 
y = ± √(x + 81) 

f⁻¹(x) = ± √(x + 81) answer

Answer is ±√x+81

I hope I helped you with my answer somehow.
Answer 2
Answer: I hope this helps you



y=x^2-81


x^2=y+81


x=square root of y+81


f^-1 (x)= square root of x+81

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What is the value of 8C5?

A.56

B.6720

C.960

D.40

Answers

Using, binomial coefficient, the value of 8C5 is 56, which corresponds to option A.

To calculate the value of 8C5 (8 choose 5), we use the binomial coefficient formula:

nCr = n! / (r! * (n - r)!)

where n is the total number of items, r is the number of items chosen.

In this case, n = 8 and r = 5.

8C5 = 8! / (5! * (8 - 5)!)

Now, let's calculate the factorials:

8! = 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 40,320

5! = 5 * 4 * 3 * 2 * 1 = 120

3! = 3 * 2 * 1 = 6

Now, substitute these values back into the formula:

8C5 = 40,320 / (120 * 6)

8C5 = 40,320 / 720

8C5 = 56

Therefore, the value of 8C5 is 56, which corresponds to option A.

To know more about binomial coefficient:

brainly.com/question/34713364


#SPJ6

Answer: The answer would be 56!

Step-by-step explanation:

6x7x8 / 3! =56

find the length of the base of a square pyramid if the volume is 1,024 cubic inches and has a height of 12 inches. (6 points) 4 inches 8 inches 16 inches 24 inches

Answers

To solve, we use the volume of a square pyramid formula which is expressed as the product of the area of the base (a²) and the height divided by three(h/3).

Volume = a² (h/3)
1024 in³ = (a²) (12 in/3)
a² = 1024 in³ · 3 /12
a = √256 in²
a = 16 in

Thus, the length of the base is 16 in.

Answer:

16 inches

Step-by-step explanation:

2. Which diagram shows a point P an equal distance from points A, B, and C?H

Answers

Answer:

The correct option is (a).

Step-by-step explanation:

The vertices are equidistant from the circumcenter.

Circumcenter of a triangle is a point where the perpendicular bisectors are intersection each other.

In figure (a) the point P is the intersection point of all perpendicular bisector, therefore point P is the circumcenter of triangle ABC and the point P is equidistant from A,B and C.

Therefore option (a) is correct.

In figure (b) the point P is the intersection point of all perpendicular, therefore point P is not the circumcenter of triangle ABC.

Therefore option (b) is incorrect.

In figure (c) the point P is the intersection point of all bisectors, therefore point P is not the circumcenter of triangle ABC.

Therefore option (c) is incorrect.

In figure (d) the point P is the intersection point of all medians, therefore point P is not the circumcenter of triangle ABC.

Therefore option (d) is incorrect.
Hello,


Answer A
One have drawn the mediators of the triangle which is a line passing in the middle of a side and perpendicular to it.

The circle is called circonscribed to the triangle.

If your yard is 6 feet wide and requires 96 pieces of sod that are cut into 1 foot squares, how long is it?

Answers

Is the answer 44 feet wide? What I did was draw a rectangle an label both widths as 6, that equals 12. Then I subtracted 12 from 96 and got 84 and in order to only get one side length I divided it by 2 and got 42. Next I added 2 to that because the width of one side took up one foot and so did the other side so yeah. I'm just guessing.

On a map of a city, the scale is 1 centimeter to 500 meters. If it is 4 kilometers between city hall and the library, how many centimeters is it on the map?8 cm
125 cm
2,000 cm
80 cm

Answers

If you would like to know how many centimeters is it on the map, you can calculate this using the following steps:

1 cm ... 500 meters
x cm = ? ... 4 kilometers = 4000 meters

1 * 4000 = 500 * x
x = 1 * 4000 / 500
x = 8 cm

The correct result would be 8 cm.

Answer:

8 cm

Step-by-step explanation:

i just took a test and got it right

What is the scale factor of ABC to DEF?

Answers

Answer:

c. 3

Step-by-step explanation:

what i did was divide all the numbers on DEF by the answers that you have

It’s C

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