MATHEMATICS COLLEGE

Find the inverse
f(x)=3x-2

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

hello friend

the answer is $(x)/(3)$ + $(2)/(3)$

To find the inverse, interchange the variables and solve for y

$f^(-1)$ (x) = $(x)/(3)$ + $(2)/(3)$

Hope this helps

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Please help on that excercise
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Based on the data, select the most reasonable prediction about the height ofsecond-grade students.A. The typical second-grade student is less than 45 inches tall.B. The typical second-grade student is about 45 inches tall.C. The typical second-grade student is more than 50 inches tall.D. The typical second-grade student is about 48 inches tall.
Factor the expression X^2-9
A piece of wire 23 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle.Required:a. How much wire must be used for the square in order to maximize the total area?b. How much wire must be used for the square in order to minimize the total area?

My soccer team has 16 players. I have to choose a starting lineup of a goalie and 10 regular players (the regular players are interchangeable). How many different starting lineups can i choose? *the answer is not 4368*

Answers

Answer:

3003

Step-by-step explanation:

We want to find out how many ways we can choose 10 players among 15 players (since the goalie is not interchangeable)

The number of different lineups you can have can be found by using combination:

$^(15)C_(10) = (15!)/((15 - 10)! 10!)\n \n= (15!)/(5! * 10!) \n\n= 3003$

There are 3003 different lineups that can be chosen.

Final answer:

To determine the number of starting lineups, we use combinations in probability. We first choose a goalie from 16 players, then 10 regular players from the remaining 15, giving us 48048 unique lineups.

Explanation:

This problem can be solved by using the concept of combinations in probability and statistics. The formula for combinations is C(n, k) = n! / [k!(n-k)!], where n is the total number of items, k is the number of items to choose, and ! denotes factorial, which is the product of all positive integers up to that number.

Firstly, we need to choose a goalie. There are 16 players, so the number of ways to choose a goalie is C(16, 1) = 16.

After choosing the goalie, we are left with 15 players. Then we need to choose 10 players to fill in the rest of the team. Thus, the number of ways to choose the 10 regular players is C(15, 10).

The total number of unique starting lineups is then the product of these two results. Hence, the solution would be C(16, 1) * C(15, 10) = 16 * 3003 = 48048 different starting lineups.

Learn more about Combinations here:

brainly.com/question/24703398

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72. Which best describes the polynomial -5x^3?Third degree binomial

First degree trinomial

Third degree monomial

Third degree binomial

Answers

-5x^3?

This is a third degree monomial

It has one term so it is a monomial

the exponent is to the power of 3 so it is third degree

Answer:

Third degree monomial.

Step-by-step explanation:

because it only has one number and is to the third degree

Find the exact value of cos 15º.

Answers

Answer:

0.965925826

Step-by-step explanation:

Answer:

(pi6 + pi2)/4

Step-by-step explanation:

1 Which expression is equivalent to 1/3y?• 1/3(y+12)-12
1/6y+1/3(y+3
1/6y+1/6(y+12)-2
1/3y+1/3(6-y)

Answers

Answer:

1/6y+1/6(y+12)- 2

Step-by-step explanation:

Distribute $(1)/(6)$ through the parentheses : $(1)/(6)$ y + $(1)/(6)$ y + 2 - 2

Remove the opposites and calculate ( since two opposites add up to zero remove them from the expression) : $(1)/(6)$ y + $(1)/(6)$ y

Calculate the sum : $(1)/(3)$ y

Solution : $(1)/(3)$ y

Answer:

The answer is 1/6y+1/6(y+12)-2

What is 2/3 - 1/2 = in simplest form

Answers

Answer:

1/6

Step-by-step explanation:

2/3-1/2 = find the denominator 3×2=6

4/6-3/6 = rewrite with a denominator of 6

(4-3)/6 = 1/6 subtract numerators

Answer:

1/3

Step-by-step explanation:

Assume sin t =.45 and sin w =.89 both t and w are postive and both t and w determne a terminal point in a quadrant 1. which of the following statements best describe the relationship between t and wa w>t
b t>w
C not possible to tell

Answers

The sine function is increasing in the first quadrant.
sin(0) = 0
sin(90) = 1

This means the larger angle will give a larger sine value.
sin(w) > sin(t) -----> w > t

Final answer:

Given the values sin(t) = 0.45 and sin(w) = 0.89, both for angles in the first quadrant, we can determine that the angle w is greater than the angle t. This is because in the first quadrant, the sine of an angle increases as the angle increases.

Explanation:

The sine of an angle in the unit circle, sin(t) or sin(w), is the y-coordinate of the point where the angle intersects the unit circle. The angles are in quadrant 1, where sine values are positive, as are the angles themselves. Given sin(t) = 0.45 and sin(w) = 0.89, we know that the sine of an angle increases as the angle increases within the first quadrant (from 0 to 90 degrees). Therefore, sin(w) > sin(t) implies that w > t.