Answer:
1488 sandwiches in thirty minutes
Step-by-step explanation:
Part A.
You need two equations with the same slope and different y-intercepts.
Their graph is parallel lines. Since the lines do not intersect, there is no solution.
y = 2x + 2
y = 2x - 2
Part B.
We use the first equation as above. For the second equation, we use an equation with different slope. Two lines with different slopes always intersect.
y = 2x + 2
y = -2x - 2
In the second equation, y = -2x - 2. We now substitute -2x - 2 for y in the first equation.
-2x - 2 = 2x + 2
-4x = 4
x = -1
Now substitute -1 for x in the first equation to find y.
y = 2x + 2
y = 2(-1) + 2
y = -2 + 2
y = 0
Solution: x = -1 and y = 0
Here's the factorization of the equation
f(x) = [ (x+4)(2x-1) ] / [ (x-1)(x^2+x+1) ]
<u>Domain</u>
The domain of a function is the set of input or argument values for which the function is real and defined.
- function domain : x < 1 or x > 1
<u>Range
</u><u />Resulting f(x) values: all Real Numbers<u>
</u>
<u>Roots
</u>x = 1/2 & -4
<u>Axis interception points</u>
x-axis: (1/2, 0) , (-4, 0)
(y-axis): (0, 4)
<u>Asymptotes</u>
Vertical: x = 1
Horizontal: y = 0
Answer: D ( 17/20)
Step-by-step explanation:
The two choices are:
The ‘standard’ tariff charges = $0.10 per unit
The ‘day/night tariff’ = $0.12 per unit for each unit consumed between 06:00 and 22:00 but only $0.05 for each unit consumed between 22:00 and 06:00
The day time is between 22:00 and 06:00
Time = 22 - 6 = 16 hours
Let assume that the charges are unit per hour.
For standard tariff = (16 × 0.10) + 0.2
Standard tariff = 1.6 + 0.2 = 1.8
For day/night = (16 × 0.12) + 0.2
= 1.92 + 0.2
= 2.12
The proportion will be
1.8/2.12 = 17/20 ( approximately)
Answer:
0.477 is the probability that the average score of the 36 golfers was between 70 and 71.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 70
Standard Deviation, σ = 3
Sample size, n = 36
Let the average score of all pro golfers follow a normal distribution.
Formula:
P(score of the 36 golfers was between 70 and 71)
0.477 is the probability that the average score of the 36 golfers was between 70 and 71.
