Answer:
y = -2x + 1
Step-by-step explanation:
<u>Formulae:</u>
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Slope:
Point-slope form:
Slope-intercept form:
<u>Calculations:</u>
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Answer:
a) 41
b) -31
c) 25/3
Step-by-step explanation:
The instructions explain what a function is pretty clearly.
Basically, whatever is in the parentheses next to the , you plug in to the expression that is the function.
ex:
Okay, onto the problems:
a)
First, plug in 14, since that is given:
and solve.
So, 41 is the answer to a.
b) Do the same thing you did in problem a. Plug in the number inside the parentheses and solve.
-31 is the answer to b.
c) For this problem, you have to do a bit of algebra.
First, take the base function f(x):
Then, set f(x) = 24:
and solve by isolating x.
25/3 is the answer to c.
Answer:
Part (A) The required ways are 792.
Part (B) The required ways are 101376.
Step-by-step explanation:
Consider the provided information.
Part (A) The alphabet {a, b}
The length of strings is 12 that containing exactly five a's.
The number of ways are:
After filling "a" we have now 7 places.
For 7 places we have "a" and "b" alphabet but we already select a's so now the remaining place have to fill by "b" only.
Thus, the required ways are:
Part (B) The alphabet {a, b, c}
We have selected five a's now we have now 7 places.
For 7 places we have "b" and "c".
Thus, there are 2 choices for each 7 place that is
Therefore the total number of ways are:
Thus, the required ways are 101376.