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Gnoma [55]
2 years ago
10

A basketball team had four players tryout for each of the five positions. How many ways could the team be formed?

Mathematics
1 answer:
cricket20 [7]2 years ago
5 0

Answer:

120

Step-by-step explanation:

i dont know the exact reason but the formula to problems like this is the actual number which is 5 in this sitaution and then multiply the numbers below it. For the equation i did 5x4x3x2x1 and i got 120

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2x+3y= 14<br>3х - 4 y = 4<br><br>​
goldenfox [79]

The solution to given system of equations are (x, y) = (4, 2)

<em><u>Solution:</u></em>

<em><u>Given system of equations are:</u></em>

2x + 3y = 14 ---------- eqn 1

3x - 4y = 4 --------- eqn 2

We have to solve the given system of equations

We can solve the above system of equations by elimination method

<em><u>Multiply eqn 1 by 3</u></em>

3(2x + 3y = 14)

6x + 9y = 42 --------- eqn 3

<em><u>Multiply eqn 2 by 2</u></em>

2(3x - 4y = 4)

6x - 8y = 8 ----------- eqn 4

<em><u>Subtract eqn 4 from eqn 3</u></em>

6x + 9y = 42

6x - 8y = 8

( - ) --------------

9y + 8y = 42 - 8

17y = 34

<h3>y = 2</h3>

<em><u>Substitute y = 2 in eqn 1</u></em>

2x + 3(2) = 14

2x + 6 = 14

2x = 14 - 6

2x = 8

<h3>x = 4</h3>

Thus the solution to given system of equations are (x, y) = (4, 2)

5 0
3 years ago
3y=2x-9 what could be the other equation
worty [1.4K]

2 x - 3 y = 9. Is What I Got :)

7 0
3 years ago
Read 2 more answers
Brett and Max are diving. Brett is 34 feet below the surface and Max is 25 feet below the surface. How many feet above Brett isM
saveliy_v [14]

Answer:

Max is 9 ft above Brett

Step-by-step explanation:

Brett is 34 feet below the surface  = -34

Max is 25 feet below the surface = -25

Subtract the heights

-25 - -34

-25 +34

9

Max is 9 ft above Brett

6 0
3 years ago
Read 2 more answers
Landon used a semicircle, a rectangle, and a right triangle to form the figure below. Which is the best estimate of the area of
Damm [24]

Answer:

38.28cm^2

Step-by-step explanation:

Area of rectangle = 24cm^2

Area of rectangle = 8cm^2

Area of semicircle = 6.28cm^2

4 0
3 years ago
Read 2 more answers
What is the inverse equation of the function, y = 3x - 6?
algol [13]
The best answer (and only correct answer) among the answer choices given is:
________________________________________________
                    [C]:    y⁻¹ = (x+6) / 3  .
_________________________________________________
Explanation:
__________________________________________________
 Given the original function:  y = 3x - 6 ;
_________________________________________________
To find the "inverse equation" of said function; we change the "x" to a y"; and the "y" to an "x"; and rewrite:
_________________________________________________
x = 3y <span>− 6 ; 

Now, rewrite in "slope-intercept form" ; or y = mx + b ;
     that is, with y as "single, isolated" variable on the left-hand side of the equation (with an "implied coefficient of positive one", only);  then an "equal sign, then "mx + b" ; in which: "m" is the coefficient of the variable, "x"; and in which "m" refers to the "slope";  and "b" refers to the 'y-intercept".
_____________________________________
So,we have the inverse function: 
____ </span>_________________________________________________
      x = 3y − 6  ;  we want to write in slope-intercept form; 
__________________________________________________
Add   "6" to each side of the equation:
__________________________________
     x + 6 = 3y − 6 + 6 ; 
__________________________________
 x + 6 = 3y ;  
________________________
 ↔ Rewrite as:   3y = x + 6 ; 
________________________________________
 Divide EACH side of the equation by "3" ; to isolate "y" one side of the equation; specifically, the left-hand side of equation; and to write in "slope-intercept form:
______________________________
              3y / 3 = (x + 6) / 3  ;
______________________________
   to get:
______________________________
                  y = (x + 6) / 3 ; 
_________________________________
                 y = (x/3)  + (6/3) ;
____________________________________
                y = (x/3 ) + 2 ;
___________________________________
or;  write as: y = (1/3)x + 2 ;
________________________________________
Now, let us examine the answer choices given:
__________________________________________
Note that all the answer choices begin with "y-1" ;
    (except "answer choice: [B]" , which begins with "x-1").  This seems confusing; however, in reality, this does not mean, "y minus 1"; or "x minus 1".  Rather, it mean y⁻¹  or x⁻¹  as notation for the "inverse" (not to be confused with the exponent notation.  The confusion stems from the fact that it can be difficult to make such notations on the "Brainly" system.
__________________________________________________
That being said, we can write the aforementioned "rewritten equations" (see above in THIS VERY ANSWER) as:
_____________________________________
y⁻¹ = (x + 6) / 3 ; 
_________________________________
                 y⁻¹ = (x/3)  + (6/3) ;
____________________________________
                y⁻¹ = (x/3 ) + 2 ;
___________________________________
or;  write as: y⁻¹ = (1/3)x + 2 
___________________________________
That being said:
_________________________________________
The best answer (and only correct answer) among the answer choices given is:  Answer choice: [C]:  y⁻¹ = (x+6) / 3  .
____________________________________________________
6 0
3 years ago
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