Answer:
(0,6),(-2,0)
Step-by-step explanation:
The given equation are;
and
We equate both equations to get;
Regroup all terms on the left hand side to obtain;
Factor;
We can put the values of x into any of equations preferably the linear equation to get;
, when x=0.
and
, when x=-2.
The solutions are
(0,6),(-2,0)
Answer:
A...i think
Step-by-step explanation:
Answer:
y = 5
The value of y is 5.
Step-by-step explanation:
RS + ST = RT
4y + 2 + 2y + 7 = 10y - 11
4y + 2y + 2 + 7 = 10y - 11
6y + 9 = 10y - 11
-9 -9
-------------------------
6y = 10y - 20
-10y -10y
-------------------------
-4y = -20
/-4 /-4
-------------------------
y = 5
Answer:
The number of tennis players who finished above Eldrick are 20 players.
Step-by-step explanation:
Note: The question is not complete as the data in it are omitted. The complete question is therefore provided before answering the question as follows:
Eldrick finished at the 77th percentile of a men's tennis league with 88 players in it. How many tennis players finished above him?
The explanation of the answer is now given as follows:
The 77th percentile refers to the number of men's tennis league players below (inclusive) which 77% of the players can be found.
Therefore, we have:
Remaining percentile = 100th - 77th percentile = 23rd percentile
The remaining 23rd percentile refers to the number of men's tennis league players above (exclusive) which 23% of the players can be found.
Therefore, the number of tennis players who finished above Eldrick can be calculated as follows:
Number of tennis players who finished above Eldrick = 23% * Number of players in the league = 23 * 88 = 20.24
Rounding to a whole number, we have:
Number of tennis players who finished above Eldrick = 20
Answer:
x = 500 yd
y = 250 yd
A(max) = 125000 yd²
Step-by-step explanation:
Let´s call x the side parallel to the stream ( only one side to be fenced )
y the other side of the rectangular area
Then the perimeter of the rectangle is p = 2*x + 2* y ( but only 1 x will be fenced)
p = x + 2*y
1000 = x + 2 * y ⇒ y = (1000 - x )/ 2
And A(r) = x * y
Are as fuction of x
A(x) = x * ( 1000 - x ) / 2
A(x) = 1000*x / 2 - x² / 2
A´(x) = 500 - 2*x/2
A´(x) = 0 500 - x = 0
x = 500 yd
To find out if this value will bring function A to a maximum value we get the second derivative
C´´(x) = -1 C´´(x) < 0 then efectevly we got a maximum at x = 500
The side y = ( 1000 - x ) / 2
y = 500/ 2
y = 250 yd
A(max) = 250 * 500
A(max) = 125000 yd²