Answer:
The equation x1 + x2 + x3 + x4 + x5 + x6 = 25 in which each xi is a non-negative integer and … Will have:
(a) 6 solutions where there are no other restrictions.
(b) 4 Solutions for xi ≥ 3 for i = 1, 2, 3, 4, 5, 6(x3 + x4 +x5 + x6 = 25)
(c) 4 Solutions for 3 ≤ x1 ≤ 10
( x3 + x4 + x5 + x6 = 25)
(d) 5 Solutions for 2 ≤ x2 ≤ 7
Step-by-step explanation:
The equation have 6 unknown variables . This means it will have 6 solutions when no condition is imposed as in (a) above. The number of unknown variables in the equation will give the numbers of solutions
When the conditions are imposed, the numbers of unknown variables will give the number of solutions.
In (b) and (c), the equation will reduce to x3 + x4 +x5 + x6 = 25) and the unknown variables are 4, giving 4 solutions
In (d), the equation will reduce be 5 unknown variables(x2 + x3 + x4 +x5 + x6 = 25) and the solution is 5
The equation of the newsletter function is C(x) = 75 + 0.25x and the function values are C(0) = 75, C(100) = 100, C(200) = 125 and C(300) = 150
<h3 /><h3>How to determine the newsletter function?</h3>
From the question, the given parameters are
Initial charge = $75.00
Rate per copy = $0.25 per copy
The equation of the newsletter function is then calculated as
Total = Initial charge + Rate per copy x Number of copies
Let x represents the number of copies
So, we have
Total = Initial charge + Rate per copy x x
This gives
C(x) = 75 + 0.25x
<h3>The function values for x = 0, 100, 200 and 300</h3>
When x = 0, we have
C(0) = 75 + 0.25 x 0 = 75
When x = 100, we have
C(100) = 75 + 0.25 x 100 = 100
When x = 200, we have
C(200) = 75 + 0.25 x 200 = 125
When x = 300, we have
C(300) = 75 + 0.25 x 300 = 150
Read more about linear equations at
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Answer:
Hank did. He only paid 3 more cents for 17 ounces so it must be Hank.
Answer: ( 4,7)
Step-by-step explanation:
Answer:
(4,-3)
Step-by-step explanation:
If you graph this point, then it will be in the 3rd quadrant.
A 180 degree rotation will put it in the 1st quadrant.
And the extra 90 degrees will put in in the 4th quadrant, so we know that in (x,y), x is positive, and y is negative. then if you theoretically rotate it, since you are rotating it 90 degrees, 3 times, you will have to switch the x and y, since 3 is an odd number. so the final answer is (4,-3).
