Answer:
8
Step-by-step explanation:
-2 x -2 = 4
4 - (-28 / 7 = -4)
4- -4 = 8
Answer:
y=4, x=-5
Step-by-step explanation:
Ⓗⓘ ⓣⓗⓔⓡⓔ
Well, we could merge the two equations together to do as shows:
4(2y-13)-3y=-32
8y-52-3y=-32
5y-52=-32
5y=20
y=4
To find x, we'd do
4x-3(4)=-32
4x-12=-32
4x=-20
x=-5
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Answer:
Option 3 :
x → 7+, y → –[infinity]
Step-by-step explanation:
f(x) = (-2x² + 14)/(x² - 49)
x² - 49 = (x + 7)(x - 7)
Hence f(x) goes to infinity at x = - 7 or 7
x < - 7 = (-ve)(-ve) = + ve
=> x → –7–
Here, x² - 49 is + ve
-7 < x < 7 = (+ve)(-ve) = - ve
=> x → –7+ or x → 7– .
here, x² - 49 is - ve
x > 7 = (+ve)(+ve) = + ve
=> x → 7+
Here, x² - 49 is + ve
So (-2x² + 14) is - ve for all [ x → –7– , x → –7+ , x → 7– , x → 7+ ]
As,
-2(-7)² + 14 = -84 and -2(+7)² + 14 = -84
x → –7– = (-ve)/(+ve)
=> y → -[infinity].
x → –7+ or x → 7– = (-ve)/(-ve)
=> y → [infinity]
x → 7+ = (-ve)/(+ve)
=> y → -[infinity].
x → 7+, y → –[infinity]. is the correct option
Answer:
(a)x + y = 58 and x = y + 14
(b) You sold 36 and your friend sold 22.
Tickets that you sold = x
Tickets that your friend sold = y
Together, the two of you sold 58 tickets.
x + y = 58
You sold 14 more than your friend
x = y + 14
So the two equations are:
x + y = 58
x = y + 14
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Construct system of equations and solve for x and y
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x + y = 58 ------------ (1)
x = y + 14 -------------(2)
Substitute equation (2) into equation (1)
(y + 14) + y = 58
y + 14 + y = 58
2y + 14 = 58
2y = 58 - 14
2y = 44
y = 22 ---------------- Substitute into equation (2)
x = y + 14
x = 22 + 14
x = 36
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Find the tickets you and your friend sold
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you = x = 36
your friend = y = 22
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Answer: (a) x + y = 58 and x = y + 14
(b) You sold 36 and your friend sold 22.
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