Xy 14
x + y = -4
x + y = -4
x - x + y = -x - 4
y = -x - 4
xy = 14
x(-x - 4) = 14
x(-x) - x(4) = 14
-x² - 4x = 14
-x² - 4x - 14 = 0
-1(x²) - 1(4x) - 1(14) = 0
-1(x² + 4x + 14) = 0
-1 -1
x² + 4x + 14 = 0
x = -(4) ± √((4)² - 4(1)(14))
2(1)
x = -4 ± √(16 - 56)
2
x = -4 ± √(-40)
2
x = -4 ± 2i√(10)
2
x = -2 ± i√(10)
x + y = -4
-2 ± i√(10) + y = -4
- (-2 ± i√(10)) - (-2 ± i√(10))
y = -2 ± i√(10)
(x, y) = (-2 ± √(10), -2 ± √(10))
The two numbers that multiply to 14 and add up to -4 are -2 ± i√(10).
So we convert money into numbers 5 pounds of flour is 480 OK. Then we multiply 5*16 we get 80 then 480/80=006. Then we convert money back to numbers and we get 0.006. Answer A is correct.
Answer:
V =113.04 cm^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
V = 3.14 (3)^2 4
V = 3.14 *9*4
V =113.04 cm^3
hii!! i used an online calculator so i could help you quicker, but the area is 60, and the height is 12.
hope this helps!! <3
Answer:
Step-by-step explanation:
Successive terms do not have a common difference or ratio, so the sequence is not arithmetic or geometric. We can get a clue as to its nature a couple of places:
- from the alternating signs, says there is a negative multiplier involved
- from the answer choices
It is helpful to look at the differences of terms:
-5-3 = -8
11 -(-5) = 16
-21-11 = -32
These have a common ratio of -2, so match an exponential form with a ratio of -2 (the last answer choice). Trying that choice with n=1, 2, 3, 4 gives ...
a[1] = 3
a[2] = -2(3) +1 = -5
a[3] = -2(-5) +1 = 11
a[4] = -2(11) +1 = -21
These match the given sequence, so the appropriate recursive formula is ...
