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:
9x + 36 = 10
Step-by-step explanation:
Given
x + 3 = 
Multiply by the lowest common multiple of 4 and 6, that is 12
12 × x + 12 × 3 = 12 × , that is
9x + 36 = 10 ← equation without fractions
Answer:
5) 18.8 cm
7) 49.5 ft
Explanation:
The formula for arc length is S = θ * r
5) S = 18 cm * Pi/3 (60 degrees in radians)
S = 6 Pi cm
S ≈ 18.8 cm
7) S = 9 ft * 7 Pi / 4
S = 63 Pi ft / 4
S ≈ 49.5 ft
X=8 is the Answer. So the equation would be <span>-8+4(1+5 times 8 )=156 </span>
