Answer:
(1, - 2 )
Step-by-step explanation:
Given the 2 equations
3x + y = 1 → (1)
5x + y = 3 → (2)
Subtracting (1) from (2) term by term eliminates the term in y, that is
(5x - 3x) + (y - y) = (3 - 1) and simplifying
2x = 2 ( divide both sides by 2 )
x = 1
Substitute x = 1 in either of the 2 equations for corresponding value of y
Using (1), then
3 + y = 1 ( subtract 3 from both sides )
y = - 2
Solution is (1, - 2 )
The solution to a system of equations (0,1) is Option B
X - the number of sandwiches
y - the number of soups
10 sandwiches were ordered. The answer is D.
9/10 + 8/100
9/10 + 2×4/25×4
Common denominator is 50.
9/10 + 2/25.
5×9/5×10 + 2×2/2×25
45/50 + 4/50
= 49/50
A) 5000 m²
b) A(x) = x(200 -2x)
c) 0 < x < 100
Step-by-step explanation:
b) The remaining fence, after the two sides of length x are fenced, is 200-2x. That is the length of the side parallel to the building. The product of the lengths parallel and perpendicular to the building is the area of the playground:
A(x) = x(200 -2x)
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a) A(50) = 50(200 -2·50) = 50·100 = 5000 . . . . m²
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c) The equation makes no sense if either length (x or 200-2x) is negative, so a reasonable domain is (0, 100). For x=0 or x=100, the playground area is zero, so we're not concerned with those cases, either. Those endpoints could be included in the domain if you like.
