Answer:
Graph has been shown in the attached file.
Step-by-step explanation:
We have been given the system of equations
Both the equation represents a straight lines. We can find the x and y intercepts of these lines to graph.
The intercept form of a line is given by
Here a is the x - intercept and b is the y-intercept.
Divide both sides of the equation (1) by 16
Hence, x-intercept = 4 and the point is (4,0)
y-intercept = 4 and the point is (0,4)
Similarly, for the second line
Divide both sides of the equation (2) by -6
x-intercept = -6 and the point is (-6,0)
y-intercept = -1 and the point is (0,-1)
We'll plot these points in the xy- plane and then join to get the graph of these lines.
470 miles in 2 hrs......470/2 = 235 per hr
in 12 hrs...
235 * 12 = 2820 miles <==
The Answer is 76.5, because 153/2 is 76.5
Answer:
C. f(x)=3(1/2)^x
Step-by-step explanation:
standard form of a function is f(x)=ab^x
a should be 3, or the y value where the x value is 0
the b value is 1/2 because that's the rate of change
Answer:
The number of distinct arrangements is <em>12600</em><em>.</em>
Step-by-step explanation:
This is a permutation type of question and therefore the number of distinguishable permutations is:
n!/(n₁! n₂! n₃! ... nₓ!)
where
- n₁, n₂, n₃ ... is the number of arrangements for each object
- n is the number of objects
- nₓ is the number of arrangements for the last object
In this case
- n₁ is the identical copies of Hamlet
- n₂ is the identical copies of Macbeth
- n₃ is the identical copies of Romeo and Juliet
- nₓ = n₄ is the one copy of Midsummer's Night Dream
Therefore,
<em>Number of distinct arrangements = 10!/(4! × 3! × 2! × 1!)</em>
<em> = </em><em>12600 ways</em>
<em />
Thus, the number of distinct arrangements is <em>12600</em><em>.</em>
