Answer:
(1, 2) and (- 1, - 2)
Step-by-step explanation:
Given the 2 equations
x² + y² = 5 → (1)
y = 2x → (2)
Substitute y = 2x into (1)
x² + (2x)² = 5, that is
x² + 4x² = 5
5x² = 5 ( divide both sides by 5 )
x² = 1 ( take the square root of both sides )
x = ± 
= ± 1
Substitute these values into (2) for corresponding values of y
x = 1 → y = 2(1) = 2 ⇒ (1, 2)
x = - 1 → y = 2(- 1) = - 2 ⇒ (- 1, - 2)
Answer:
0.333
Step-by-step explanation:
The first sequence starts at 1 and has a common difference of 2. It will include every odd number in the range.
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The second sequence starts at 1 and has a common difference of 3. It will include odd numbers and the even numbers 4, 10, 16, .... That is, all even numbers of the form 6n -2 will be included. The last one corresponds to the largest value of n such that ...
6n -2 ≤ 1000
6n ≤ 1002
n ≤ 167
That is, 167 even numbers will also be excluded.
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The third sequence starts at 1 and has a common difference of 4. Every number in this sequence is also a number in the first sequence.
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So the numbers in these sequences include all 500 odd numbers and 167 even numbers, for a total of 667 numbers. The probability that a randomly chosen number is not in one of these sequences is ...
(1000 -667)/(1000) = 333/1000 = 0.333 . . . . p(not a sequence term)
Answer:
your answer to page one is
3 11/24
the second page is
13 2/3
the third one is
10.7
the forth one is also 10.7
Subtract -9 from both sides.
x2+6x−(−9)=−9−(−9)
x2+6x+9=0
Factor left side of equation.
(x+3)(x+3)=0
Set factors equal to 0.
x+3=0 or x+3=0
x=−3
Answer:
x=−3
Answer:
y=2x-2
Step-by-step explanation:
hope that helps
