Answer:
The piece-wise function is;
Step-by-step explanation:
The flat rate for renting the car = $35 per day
The amount charged as insurance fee per day for renting the car for 3 days or less = $10
The insurance fee charged per day when the car is rented for more than 3 days = $5
Let the number of days = x
Therefore, we have;
For x ≤ 3, f(x) = 35 × x + 10 × x = x × (35+10) = 45·x
For x > 3, f(x) = 35 × x + 5 × x = x × (35+5) = 40·x
Therefore;
The charge rate for renting the car for less than or equal to 3 days = 45·x
The charge rate for renting the car for more than 3 days = 40·x
The piece-wise function can be presented as follows;
Step-by-step explanation:
Variable x = number of copies
6.50 <= 0.45x
Divide both sides by 0.45
6.50 ÷ 0.45 <= 0.45x ÷ 0.45
14.4444.... <= x
No more than 14 copies
6.50 <= 0.45x
6.50 <= 0.45(14.444)
Answer:
c is correct answer for you
Answer:
Percent form: 41.65%
Fraction form: 
Step-by-step explanation:
33% of men support John Smith.
67% of women support John Smith.
Lets say, for instance, that there are 20 polled individuals -- 10 women and 10 men.
However, since 1.5 times as many men voted as women, we have to apply our poll to 15 men and 5 women.
33% of the 15 men makes 5 men who voted for Smith and 10 who did not.
67% of the 5 women makes 3.33 women who voted for Smith and 1.67 who did not.
Add these numbers together.
8.33 total voters were cast for John Smith, while 11.67 were not.
Now, divide 8.33 by 20 and multiply by 100 to obtain a percentage.
41.65% of voters voted for John Smith according to the results of the poll.
The answer is -16 - 10i.
Using the distributive property on the first part, we have:
-2i*7--2i*4i + (3+i)(-2+2i)
-14i+8i² +(3+i)(-2+2i)
Using FOIL on the last part,
-14i+8i²+(3*-2+3*2i+i*-2+i*2i)
-14i+8i²-6+6i-2i+2i²
-10i+8i²-6+2i²
Since we know that i = -1,
-10i+8(-1)-6+2(-1)
-10i-8-6-2
-16-10i
