every coin flip, it has a 1/2 probability of landing on heads.
it doesn't matter what the flips were before it.
Probability is 1/2
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Answer:
C = 75 + 0.17x and R = 2x
2x - (75 + 0.17x) > 0
x ≥ 41
Step-by-step explanation:
The cost to make the cupcakes is a fixed $75 plus $0.17 per cupcakes made and the selling price of each cupcake is $2.00.
Part A: Now, the equation for the cost, C, for making x cupcakes is
C = 75 + 0.17x ......... (1)
Again the equation for the revenue, R, from selling x cupcakes is
R = 2x ............ (2)
Part B: So, the inequality that could be solved to find the number of cupcakes, x, that must be made and sold to make a profit is
R - C > 0
2x - (75 + 0.17x) > 0 ......... (3)
Part C: Solving inequality (3) we get
(2 - 0.17)x > 75
⇒ x > 40.98
⇒ x ≥ 41 {Since, x can not be a fraction}
(Answer)
<span>X+(X+1)=31
</span>x is the first number and the second number should be x+1, since they are consecutive
Answer:
See step-by-step explanation
Step-by-step explanation:
Question 3: (4, -3)
Solving through elimination: Multiply the first equation by -3.
-3x+6y=-30
3x-5y = 27
Add. The x drops out.
y= -3
Substitute -3 in for y.
x-2y=10
x-2(-3)=10
x+6=10
x=4
Question 4: (2,5)
Solve through elimination: Multiply the second equation with 3.
3/2= 6/4
15/4x=7.5
x=2
3/2 (2) + y = 8
3+ y =8
y=5
Question 5: (6,4)
Use your graph to graph.
Slope of -1/3
Y-intercept of 6 (0,6)
X-intercept of 18 (18,0)
Slope of 3/2
Y-intercept of -5 (0,-5)
X-intercept of (
Question 6: (5, -7)
Solve by substitution:
Words of encouragement:
Good luck!
Answer: The rates of change for both function A and function B are positive : TRUE
The rates of change for functions A is 3 times the rate of change for function B : FALSE
The y - intercepts for both Function A and Function B are positive : FALSE
Step-by-step explanation: