9514 1404 393
Answer:
-2x +4
Step-by-step explanation:
We can write the polynomial p(x) in terms of the factors (x+2) and (x-3) as ...
p(x) = (x+2)(x-3)q(x) +ax +b
Where ax+b is the remainder from division by x^2 -x -6 = (x+2)(x-3). The values of 'a' and 'b' can be found from ...
p(-2) = 8 = -2a +b
p(3) = -2 = 3a +b
Subtracting the first equation from the second gives ...
(3a +b) -(-2a +b) = (-2) -(8)
5a = -10
a = -2
Then the first equation tells us ...
8 = -2(-2) +b
4 = b
So, the remainder from division by (x^2 -x -6) is (-2x +4).
Given:
pH = 4.2 of tomato
Required:
hydrogen-ion concentration [H+]| for tomato juice
Solution:
The formula for the pH relating hydrogen ion concentration is pH =
-log[H+] where H+ is the hydrogen ion concentration. so, substitute the value
of pH
pH = -log[H+]
4 = - log[H+]
-4 = log[H+]
10^-4 = [H+]
[H+] = 1x10^-4M
No, it is not a linear function.
A linear function is a straight line. When graphed out, this equation shows two curved lines that are reflecting each other across the origin.
Hope I helped! :)
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