3x - 5y = 7
2x + 3y = 11
multiply the first equation by 2 and the second by -3:-
6x - 10y = 14
-6x - 9y = -33 Adding these 2 equations we eliminate the term in x:-
-19y = -19
y = 1
Substtute y = 1 in the first equation:_
3x - 5(1) = 7
3x = 12
x = 4
Answer is x=4,y=1 Answer
Second system of equation:-s
Here one equation is linear and the other is quadratic so we substitute fro y in the quadratic:-
From second equation y = 10x - 38, so substituting:-
10x - 38 = x^2 - 4x - 17
Gotta go right now . Sorry
The base will have the greatest area for a given perimeter if it is square. If the edge of the square base has length x (in feet), then the total material requirement in square feet is
.. m = x^2 +(4/x^2)*(4x)
.. m = x^2 +16/x
This will have a minimum where dm/dx = 0.
.. dm/dx = 2x -16/x^2 = 0
.. x^3 = 8 . . . . . . . . . . . . . . . multiply by x^2/2 and add 8
.. x = 2
The tank is 2 feet square and 1 ft high.
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You will note that it is half the height of a cube that has double the volume. This is the generic solution to all minimum cost open-top box problems. Actually, the costs of pairs of opposite sides are equal to each other and to the cost of the base. If material costs are not identical in all directions, that is the more generic solution.
Five hundred sixty-two thousand nine hundred two
Answer:
120
Step-by-step explanation:
60:3=20
1 minute - 20
20×60=120
Answer:
- domain: (-4, ∞)
- range: [-4, ∞)
Step-by-step explanation:
The domain is the horizontal extent of the function. This function is defined for all values of x greater than (but not including) -4. Its domain is (-4, ∞).
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The range is the vertical extent of the function. This function gives output values of any number greater than or equal to -4. Its range is [-4, ∞).
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Interval notation uses square brackets when the value is included in the interval. It uses round brackets (parentheses) when the end value is not included in the interval. ∞ is not a number, so that end always gets a round bracket.
