The left 8 represents 8000 units.
The right 8 represents 8 units.
Their placement in the number is used to signify the multiplier for the number of units they represent. That is why the number system is called a "place value number system." Each time the digit is moved left one place, its value increases by a factor of 10.
A graphing calculator can help you visualize the function and its various behaviors.
6. The horizontal and vertical asymptotes are y=1, x=4, and there is a "hole" at x=-2. The appropriate choice is ...
F. Oblique asymptote y = 0
8. The denominator has degree 2 more than the numerator, so the end behavior will tend toward 0 as x gets large. The appropriate choice is ...
J. As x → ±∞, f(x) → 0
The answers are 2460, 37,000, 3670 and 5000
Step-by-step explanation:
- Step 1: Find the answers for each by multiplying.
24.6 × 100 = 2460 (moved one decimal point)
37 × 1000 = 37,000
0.367 × 10000 = 3670 (moved three decimal points)
0.005 × 1000,000 = 5000 (moved three decimal points)
Answer:
x = 10 - 10sqrt(3)/3
Approximately 4.2265 cm
Volume = 1539.6 cm³
Step-by-step explanation:
Let the height be x
V = (20 - 2x)(40 - 2x)x
V = (800 - 80x - 40x + 4x²)x
V = 4x³ - 120x² + 800x
dV/dx= 12x² - 240x + 800 = 0
3x² - 60x + 200 = 0
x = [60 +/- sqrt(60² - 4(3)(200))]/6
x = [30 +/- 10sqrt(3)]/3
x = 10 +/- 10sqrt(3)/3
Approximately,
15.7735 and 4.2265
d²V/dx² = 24x - 240
For max, d²V/dx² < 0
So, x = 4.2265
V = (20 - 2x)(40 - 2x)x
Plug in x = 10 - 10sqrt(3)/3
V = 1539.600718
Answer:
Step-by-step explanation:32