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:
From the diagram, quadrilateral BCEF is a cyclic quadrilateral.
Opposite angles if a cyclic quadrilateral sum up to 180°
The diagonals intersect at D to form two pairs of vertical angles, and vertical angles are congruent.
Also sum of angles in triangle CBD is 180°.
Answer:
The marathon runner runs 1 mile every 10 minutes.
Step-by-step explanation:
9/2 miles is equal to 4.5 miles. 3/4 hours is equal to 45 minutes.
Answer:
300K
Step-by-step explanation:
T = t + 273 °C
T is absolute temperature
t = given temperature (27°C in this case)
Hence T = 27 °C + 273 °C (standard temperature)
T = 300K (since absolute temperature is measured in K from the question's preamble)
