Answer:h=-2
Step-by-step explanation:
Equation:h(-6) = |2(-6) +1| +1
Step 1: Simplify
=-6h=12
Step 2:Divide both sides of the equation by -6
-6h/-6=12/-6
h=-2
Step-by-step explanation:
The simplest possible form of f(n) is:
f(n) = n² + bn + c
f(n) / (n + 1) has a remainder of -12, so:
n² + bn + c = (n + p) (n + 1) − 12
n² + bn + c = n² + (1 + p)n + p − 12
b = 1 + p and c = p − 12
f(n) / (n + 2) has a remainder of -24, so:
n² + bn + c = (n + q) (n + 2) − 24
n² + bn + c = n² + (2 + q)n + 2q − 24
b = 2 + q and c = 2q − 24
Setting the expressions equal:
1 + p = 2 + q and p − 12 = 2q − 24
1 = p − q and p = 2q − 12
Solving the system of equations:
1 = q − 12
q = 13
p = 14
b = 15, c = 2
Therefore, f(n) is:
f(n) = n² + 15n + 2
Using grouping:
f(n) = n² + 3n + 2 + 12n
f(n) = (n + 1) (n + 2) + 12n
f(n) / ((n + 1) (n + 2) = 1 + (12n) / ((n + 1) (n + 2))
The remainder is 12n.
Answer:
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Step-by-step explanation:
Given,
Radius ( r ) = 2 mm
pi ( π ) = 3.14
<u>Finding </u><u>the </u><u>area </u><u>of </u><u>circle </u><u>having </u><u>radius </u><u>of </u><u>2</u><u> </u><u>mm</u>
Area of circle
plug the values
⇒
Evaluate the power
⇒
Multiply the numbers
⇒
Hope I helped!
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