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olga_2 [115]
3 years ago
6

What is 1000m in 2 minutes?

Mathematics
1 answer:
Norma-Jean [14]3 years ago
4 0

is this somthing that your looking for?

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I NEED HELP WITH QUESTION PLEASE!!<br> What is the inverse of f(x)<br> (x) = (x-4)² for x ≥ 4?
goblinko [34]

Answer:

4th choice \bold{f^{-1}(x) = \sqrt{x} + 4}

Step-by-step explanation:

<u>Definition of the inverse of a function</u>

A function g is the inverse of a function f if whenever y=f(x) then x=g(y). In other words, applying f and then g is the same thing as doing nothing. We can write this in terms of the composition of f and g as g(f(x))=x. The domain of f becomes the range of g and the range of f becomes the domain of g

To solve for the inverse of the function f(x) =\left(x-4\right)^2

Let y=\left(x-4\right)^2

\mathrm{Replace}\:x\:\mathrm{with}\:y \text{ and replace }\:y\:\mathrm{with}\:x

x=\left(y-4\right)^2

Switch sides
\left(y-4\right)^2=x

Take square roots on both sides
y-4=\pm\sqrt{x}

Add 4 on both sides to solve for y

y = \pm\sqrt{x} + 4

We have two solutions

y=\sqrt{x}+4,\:y=-\sqrt{x}+4

To determine which one of these to be chosen not that in the given choices we can eliminate the first two since x cannot be negative

The third choice can also be eliminated since
-\sqrt{x} + 4 is a decreasing function for x \ge 0

So the last answer choice is correct and the inverse off(x) = (x-4)^2

is given by  f^{-1}(x) = \sqrt{x} + 4

Answer:4th choice \bold{f^{-1}(x) = \sqrt{x} + 4}

Note

Domain of  (x-4)² is [4, ∞) since x ≥ 4 and (x-4)²  cannot be negative

Range of (x-4)²  is [0,  ∞)

Domain of \sqrt{x}\:+\:4 is [0, ∞)

Range of \sqrt{x}\:+\:4 is [4, ∞)

so indeed the domain of (x-4)² has become the range of \sqrt{x}\:+\:4 and the range of (x-4)² has become the domain of \sqrt{x}\:+\:4

5 0
1 year ago
7 is 25% of what number? HELP WILL GOVE LOT POINTS
vagabundo [1.1K]
Twenty eight is 100%
3 0
3 years ago
Read 2 more answers
Don't have time for any bs please answer the question or don't do it at all
Serhud [2]

Answer:

1.) (11,  -7/3),   2.) No solution.  3.)  (1, 3)

Step-by-step explanation:

1.)

2x + 3y = 15

x - 3y = 18

Solve...use elimination method

2x + x + 3y - 3y = 15 + 18

3x = 33

x =11

11 - 3y = 18

-3y = 7

y = -7/3

(11,  -7/3)

---------------------------------------

2.) y = 4x + 4

y = 4x - 4

Use substitution.

4x + 4 = 4x - 4

4 = -4  FALSE  NO Solution

3.) y = 5- 2x

4x + 3y = 13

Can use elimination method

2y = 10 - 4x

add it to 4x + 3y = 13

10 + 3y = 2y + 13

y = 3

3 = 5 - 2x

x = 1

(1, 3)

5 0
3 years ago
In a certain soccer tournament you play 6 games. In every match you get 3 points if you win, 1 point for a draw and 0 points if
Ann [662]

Answer:

0.430625 = 0.431

Step-by-step explanation:

Let W represent winning, D represent a draw and L represent a loss.

12+ points can be garnered in each of the following ways.

6W 0D 0L

5W 1D 0L

5W 0D 1L

4W 2D 0L

4W 1D 1L

4W 0D 2L

3W 3D 0L

The probability of getting 12+ points is the sum of all these 7 probabilities.

Knowing that P(W) = 0.5

P(D) = 0.1

P(L) = 0.4

P(6W 0D 0L) = [6!/(6!0!0!)] 0.5⁶ 0.1⁰ 0.4⁰ = 0.015625

P(5W 1D 0L) = [6!/(5!1!0!)] 0.5⁵ 0.1¹ 0.4⁰ = 0.01875

P(5W 0D 1L) = [6!/(5!0!1!)] 0.5⁵ 0.1⁰ 0.4¹ = 0.075

P(4W 2D 0L) = [6!/(4!2!0!)] 0.5⁴ 0.1² 0.4⁰ = 0.09375

P(4W 1D 1L) = [6!/(4!1!1!)] 0.5⁴ 0.1¹ 0.4¹ = 0.075

P(4W 0D 2L) = [6!/(4!0!2!)] 0.5⁴ 0.1⁰ 0.4² = 0.15

P(3W 3D 0L) = [6!/(3!3!0!)] 0.5³ 0.1³ 0.4⁰ = 0.0025

The probability of getting 12+ points = 0.015625 + 0.01875 + 0.075 + 0.09375 + 0.075 + 0.15 + 0.0025 = 0.430625

5 0
2 years ago
PLEASE ANSWER FULL QUESTION
Komok [63]

Answer:

I don't know the answer !!! :(

8 0
2 years ago
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