Answer:
(5, - 4 )
Step-by-step explanation:
Given the 2 equations
2x + 3y = - 2 → (1)
3x - y = 19 → (2)
Multiplying (2) by 3 and adding to (1) will eliminate the y- term
9x - 3y = 57 → (3)
Add (1) and (3) term by term to eliminate y
(2x + 9x) + (3y - 3y) = (- 2 + 57), that is
11x = 55 ( divide both sides by 5 )
x = 5
Substitute x = 5 into either of the 2 equations and solve for y
Substituting into (1)
2(5) + 3y = - 2
10 + 3y = - 2 ( subtract 10 from both sides )
3y = - 12 ( divide both sides by 3 )
y = - 4
Solution is (5, - 4 )
Answer:
f(x) = (8/3)x(x - 1).
Step-by-step explanation:
The vertex form of the function is
y = a(x - 1/2)^2 - 2/3 where a is some constant.
Now the roots are 0 and 1 so
For x = 0
0 = a(-1/2)^2 - 2/3
1/4 a = 2/3
a = 2/3 / 1/4 = 8/3.
So the function is
f(x) = (8/3)(x - 1/2)^2 - 2/3.
3 f(x) = 8(x - 1/2)^2 - 2
= 8(x^2 - x + 1/4) - 2
= 8x^2 - 8x + 2 - 2
3 f(x) = 8x(x - 1)
f(x) = (8/3)x(x - 1).
I believe the possible volumes are <span>5 ft long, 4 ft wide and 2 ft deep
5 ft long, 3 ft wide and 2 ft deep
5 ft long 2 ft wide and 2 ft deep
5 ft long, 1 ft wide and 2 ft deep</span>
Answer:
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Answer:
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Step-by-step explanation:
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