Since it's so nicely grouped, we can work with it! For the equation to equal 0, x=0, 3, or -1 (since x-3 and x+1 equal 0 when plugged in with 3 and -1 respectively). All we have to do is plug in numbers before, between, and after these numbers and apply it to the rest of them. Since -1 is the smallest number of the group, we can plug in a number below that (for this example, -5) and plug it in to get -8*-5*-4= something negative since it contains an odd number of negative numbers. Therefore, anything less than 1 is negative. For between -1 and 0, we get x=-0.5 equals -0.5*-3.5*0.5=something positive (since it has an even amount of negative numbers), proving that everything between -1 and 0 here is positive. For something between 0 and 3, we can plug 1 in to get 1*-2*2= something negative. Do you see a pattern here? It's negative, then positive, etc.. Therefore, if the number is greater than 3 it is positive. Reviewing a bit, we can see that (-inf, -1) is negative as well as (0,3), making the interval notation (-inf, -1) U (0, 3) since when you plug -1, 0, and 3 in it is 0, not less than 0!
Answer:
Step-by-step explanation:
12 in = 1 ft
(4 in)/sec × (1 ft)/(12 in) = (4/12 ft)/sec = (⅓ ft)/sec
Answer:
Total annual premium = $1770.10
Step-by-step explanation:
Given the information in the problem, looking at the different categories of each level of insurance and the corresponding premium will give you the amounts for each part. To find the total annual premium, you need to find the sum of all the parts and then multiply this by the rating factor for his gender and age group.
Since he is purchasing 100/300/100 liability insurance, you need to first look at the 'Liability Insurance' table and locate the 100/300 option under 'Bodily Injury'. This premium is $450. Also, he is purchasing an additional 100 for Property damage which is an added premium of $375.
Next, he is getting collision insurance with a $100 deductible. This is the second column in the second table and has a premium of $215. He also wants comprehensive insurance with a $250 deductible which has a premium of $102.
Since he is a 26-year-old male, his rating is 1.55, so we will need to multiply the sum of his premiums by this number:
(450 + 375 + 215 + 102)1.55 = $1770.10
Answer:
18.02 cm
Step-by-step explanation:
A diagonal makes a rectangle into two right triangles. So if we use the Pythagorean theorem we can find the hypotenuse which is the diagonals.
Remember, because we know the length and width, we know the two sides.
10^2 + 15^2 = c^2
100+225 = c^2
325 = c^2
18.027 ≈ c
