9, 1,614.06 divided by 12.2 then by 14.7, then you get 9 the missing link
Answer:
We conclude that the numerator of a rational number 8 will be 8.
Step-by-step explanation:
We know that any number which can be written in the form p/q is called a rational number.
i.e. p/q
Where p and q are integers and q≠0.
Here:
Given the number
8
As number '8' can be written in the form p/q, so it is a rational number.
i.e. 8/1
Thus,
Therefore, we conclude that the numerator of a rational number 8 will be 8.
This is all a bit complicated so try and stick with me on this one!
This one is the first problem in the first picture! a + 2 / a^2 + a - 1 / a + 1/ -a^2 - 2a - 1
= a^4 + a^3 - a^2 - a / -a^5 - 3a^4 - 3a^3 - a^2
= -a^3 - a^2 + a + 1 / a^4 + 3a^3 + 3a^2 + a
= -a^3 - a^2 + a + 1/ a^4 + 3a^3 + 3a^2 + a
= (-a - 1) (a + 1) (a - 1) / a(a+ 1) (a + 1) (a + 1)
= -a + 1 / a^2 + a
The second problem in the first picture! 3x / y + 3x - y^2 / 3xy - 9x^2 + y^2 + 9x^2 / y^2 - 9x^2
= -81x^4y + 18x^2y^3 - y^5 / 243x^5 - 54x^3y^2 + 3xy^4
This one is for the last picture! 4y^2 + 4y + 1 / 4y - 8y^2 - 4y^2 + 1 / 4y + y
= 16y^3 + 24y^2 / -32y^3 + 16u^2
= 16y + 24 / -32y + 16
= 2y + 3 / -4y + 2
I hope this was helpful!!!
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Since it is linear, we can find a linear equation to represent the relationship. We have two points (3,6) and (11,15). The slope is 9/8. So we have an equation:
y = (9/8)x + b
Plug in (3,6) to find out that b = 21/8
So our equation that represents this linear relationship is:
y = (9/8)x + 21/8
Now to figure out what "p" is, we plug in x = -1, and we get p = 1.5
To figure out what "q" is, we plug in x = 7, and we get q = 10.5
Therefore the sum of p and q:
1.5 + 10.5 = 12
