Answer: Top right graph.
Step-by-step explanation:
The function ⌊x⌋ rounds the value x to the lower whole number.
for example:
⌊1.5⌋ = 1
⌊1.923⌋ = 1
⌊2.0⌋ = 2
then, the graph of ⌊x⌋ will be a black dot in the each whole number, and a horizontal segment to the right that ends with a white dot in the next whole number. Right above the white dot, we have another black dot, and it repeats.
if we have ⌊x⌋ + 2, we move te previous graph 2 units upwards, then the correct option is the top right graph.
You can check some points if you like:
f(0) = ⌊0⌋ + 2 = 2
f(0.5) = ⌊0.5⌋ + 2 = 2
f(1) = ⌊1⌋ + 2 = 3
So in x = 0 we have a black dot in y = 2, and in x = 1 we have a white dot in y = 2 and a black dot in y = 3.
Answer:200 minutes or 3 hours and 20 minutes
Step-by-step explanation:
multiple 5 and 40 and you’ll get the answer 200
Answer:90
Step-by-step explanation:
3x² - 21
Factor 3 from both terms:
3 (x² - 7)
To me, that's as far as you should need to go. But if you want to get
completely carried away, you could go one step further, since you have
the difference of two squares:
3 (x + √7) (x - √7)
Of course, there's no end now, because the last binomial could be
considered another difference of two squares, so you'd have to
factor that too:
3 (x + √7) (√x + ⁴√7) (√x - ⁴√7)
but to me, this would be nonsense.
Answer:
Volume of the prism = 140 cubic inches.
Step-by-step explanation:
The edge length of the cube is 1/2 inches.
The volume of the cube is given by
Now, it has been given that there are 1120 cube is completely filled in the prism. Hence, we have to the multiply the volume by 1120.
Volume of the prism = 1120 × 0.125
Volume of the prism = 140 cubic inches.
