F(1) = 1^3 + 3(1)^1 - 3 - 1 = 1 + 3 - 3 - 1 = 0
so one zero is x = 1, and x-1 is a factor
dividing f(x) by x - 1 gives x^2 + 4x + 1
x = [-4 +/- sqrt (16 - 4)] / 2
x = -0.27, -3.73
zeroes are 1 , -0.27 and -3.73 Answer
Answer: 8
Step-by-step explanation: In this problem,
we're asked to find f(-4) or the value of the function when x = -4.
To find the value of the function when x = -4,we simply plug in a -4 for
the x in our function and we have (-4)² + (-4) - 4 or 16 + -4 - 4 which is 8.
So f(-4) = 8.
Answer: 26 pieces of $1 bill and 34 pieces of $5 bill
Total Deposit = $196
Total Bills = 60 pieces
Value of $1 = $1
Value of $5 = $5
Lets assume all the 60 pieces were $1 bill.
The total deposit will be 60 x $1 = $60
But we know that the total deposit is $196. So the extra value must have come from the $5.
$196 - $60 = $136
There is still an outstanding amount of $136 not accounted for.
$5 - $1 = $4
The difference in the two bills is $4
Now we can find out the number of $5 bill by dividing the extra $136 by 4:
136 ÷ 4 = 34 pieces
There are 34 pieces of $5 bill.
Since there are 34 pieces of $5, the rest must be the $1 bill
60 - 34 = 26
There are 26 pieces of $1 bill.
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Answer: 26 pieces of $1 bill and 34 pieces of $5 bill.
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Step-by-step explanation:
5⁵/5⁸
= 5^5-8
= 5^-3
or
(-5)×(-5)×(-5)
= -125
By the law
a^m÷ a^n = a^m-n
