Yeah keep it up you got it correct do you know what it is so congratulations have fun
Answer:
0
Step-by-step explanation:
<u>Step 1: Make common denominators</u>
What is the LCM of 21 and 7: 7
So, we need to convert both fractions into a 21 denominator.
<em>15/21 * 1/1 = 15/21</em>
<em>5/7 * 3/3 = 15/21</em>
<em />
<u>Step 2: Subtract the numbers</u>
15/21 - 5/7 is same as 15/21 - 15/21
15/21 - 15/21
<em>0</em>
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Answer: 0
The range is 2.5 to 8.5. Range is the lowest number to the highest number.
Answer:
x² -3/4x +1/4 = 0
Step-by-step explanation:
Consider the two equations in factored and expanded forms:
(x -p²)(x -q²) = x² -(p²+q²)x +p²q² = 0 ⇒ p²+q² = 1, p²q² = 16
and
(x -1/p)(x -1/q) = x² -(1/p+1/q)x +1/(pq) = 0
Consider the squares of the sum and product of roots:
constant term: (1/(pq))² = 1/(p²q²) = 1/16 ⇒ 1/(pq) = √(1/16) = 1/4
x-term: (1/p +1/q)² = (p +q)²/(pq)² = (p² +q² +2pq)/(p²q²)
= (p² +q²)/(p²q²) +2/(pq)
= 1/16 +2/√16 = 9/16 ⇒ (1/p +1/q) = √(9/16) = 3/4
Then the equation with roots 1/p and 1/q is ...
x² -3/4x +1/4 = 0
