<h3>
Answer: 10%</h3>
Work Shown:
2/20 = 0.10 = 10%
Note that 10% of 20 = 0.10*20 = 2 dollars is the sales tax to help confirm the answer.
Yes, 0.069 is less than 0.07~
First, we compare the "one" place: 0 = 0.
Second, we compare the "tenth" place: 0 = 0.
Next, we compare the "hundredth" place: 6 < 7.
Because 6 < 7, 0.069 < 0.07 as a result~
Answer:
27, 29, 31, 33
Step-by-step explanation:
Let x represent the smallest odd integer then...
x+2 represents the second
x+4 represents the third
x+6 represents the fourth
We can use this to set up an equation:
x+x+2+x+4+x+6=120
Combine like terms
4x+12=120
Subtract 12 from both sides
4x=108
Divide both sides by 2
x=27
The integers are 27, 29, 31, 33
Answer:
b.
Step-by-step explanation:
We have to look at sign changes in f(x) to determine the possible positive real roots.

There is only one sign change here, between the -8x and the +4. So that means there is only 1 possible real positive root.
Now we have to look at sign changes in f(-x) to determine the possible negative real roots.

There are 3 sign changes here. That means there are either 3 negative roots or 3-2 = 1 negative root. So we have:
1 positive
3 or 1 negative
We need to pair them up now with all the possible combinations.
If we have 1 positive and 1 negative, we have to have 2 imaginary
If we have 1 positive and 3 negative, we have to have 0 imaginary
Keep in mind that the total number or roots--positive, negative, imaginary--have to add up to equal the degree of the polynomial. This is a 4th degree polynomial, so we will have 4 roots.