Answer:
Option b) The average amount you will win (or lose) per game in the long run
Step-by-step explanation:
Answer
f^-1(x) =√[(3-x)÷3]
Step-by-step explanation:
y=-3x^2+3
interchange 'y' with 'x'
x=-3y^2+3
make y the subject
3y^2=3-x
divide by '3' both sides
y^2=(3-x)÷3
apply square root both sides
√(y^2)=√[(3-x)÷3]
y=√[(3-x)÷3]
f^-1(x) =√[(3-x)÷3]
the inverse of the given function is
f^-1(x)=√[(3-x)÷3]
Answer:
number of adults tickets sold = x = 90
number of teachers tickets = y = 45
number of students tickets = z = 145
Step-by-step explanation:
Cost of tickets
Adults = $6
Teachers = $4
Students = $2
Total tickets sold = 280
Total revenue = $1010
Let
x = number of adults tickets
y = number of teachers tickets
z = number of students tickets
x + y + z = 280
6x + 4y + 2z = 1010
If the number of adult tickets sold was twice the number of teacher tickets
x = 2y
Substitute x=2y into the equations
x + y + z = 280
6x + 4y + 2z = 1010
2y + y + z = 280
6(2y) + 4y + 2z = 1010
3y + z = 280
12y + 4y + 2z = 1010
3y + z = 280 (1)
16y + 2z = 1010 (2)
Multiply (1) by 2
6y + 2z = 560 (3)
16y + 2z = 1010
Subtract (3) from (2)
16y - 6y = 1010 - 560
10y = 450
Divide both sides by 10
y = 450/10
= 45
y = 45
Substitute y=45 into (1)
3y + z = 280
3(45) + z = 280
135 + z = 280
z = 280 - 135
= 145
z = 145
Substitute the values of y and z into
x + y + z = 280
x + 45 + 145 = 280
x + 190 = 280
x = 280 - 190
= 90
x = 90
Therefore,
number of adults tickets sold = x = 90
number of teachers tickets = y = 45
number of students tickets = z = 145
or
True
Answer:
true
Step-by-step explanation:
0 < -2
I hope that helped :)
Answer:
false
Step-by-step explanation:
I put it into a graphing calculator
Write your answer as an integer or as a decimal rounded to the nearest tenth.
IJ =
Yo sup??
we have to apply trigonometric ratios ie sine
sin63=IJ/HJ
IJ=HJ*sin63
=8.0
Hope this helps.
Answer:
The answer should be 8. Hope this help you out.
B. (18,4)
C. (22,7)
D. (-4,-3)
Let's assume
point C=(x,y)
we are given
A=(4,3)
B=(-5,1)
now, we can find vector AB
now, we can find AC
now, we are given
now, we can plug values
and we get
now, we can equate them equal
and then we can solve for x and y
so, point C is (22,7).........Answer
Answer: he had $61
Step-by-step explanation: 52+9=61