Answer:
(2, - 3 )
Step-by-step explanation:
Given the 2 equations
2x - 3y = 13 → (1)
x + 2y = - 4 → (2)
Rearrange (2) expressing x in terms of y by subtracting 2y from both sides
x = - 4 - 2y → (3)
Substitute x = - 4 - 2y into (1)
2(- 4 - 2y) - 3y = 13 ← distribute and simplify left side
- 8 - 4y - 3y = 13
- 8 - 7y = 13 ( add 8 to both sides )
- 7y = 21 ( divide both sides by - 7 )
y = - 3
Substitute y = - 3 into (3) for corresponding value of x
x = - 4 - 2(- 3) = - 4 + 6 = 2
Solution is (2, - 3 )
A) The largest amount of kits the nurse can make is 75.
B) There would be 1 bandages and 1 lozenges in each kit.
The graph behavior of the function that satisfied the conditions given are:
- Horizontal asymptote at y = 0.
- Vertical asymptotes at x = -1 and x = 1.
<h3>What are the asymptotes of a function f(x)?</h3>
- The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator, or values of x for which the value of the limit goes to infinity.
- The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity, that is, the limit of f(x) as x goes to infinity.
Hence, for this problem, the graph behavior is given by the following asymptotes:
- Horizontal asymptote at y = 0.
- Vertical asymptotes at x = -1 and x = 1.
More can be learned about asymptotes at brainly.com/question/16948935
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Answer:
36°
Step-by-step explanation:
Angles in a triangle add up to 180°.
