Simplifying h(x) gives
h(x) = (x² - 3x - 4) / (x + 2)
h(x) = ((x² + 4x + 4) - 4x - 4 - 3x - 4) / (x + 2)
h(x) = ((x + 2)² - 7x - 8) / (x + 2)
h(x) = ((x + 2)² - 7 (x + 2) - 14 - 8) / (x + 2)
h(x) = ((x + 2)² - 7 (x + 2) - 22) / (x + 2)
h(x) = (x + 2) - 7 - 22/(x + 2)
h(x) = x - 5 - 22/(x + 2)
An oblique asymptote of h(x) is a linear function p(x) = ax + b such that
In the simplified form of h(x), taking the limit as x gets arbitrarily large, we obviously have -22/(x + 2) converging to 0, while x - 5 approaches either +∞ or -∞. If we let p(x) = x - 5, however, we do have h(x) - p(x) approaching 0. So the oblique asymptote is the line y = x - 5.
Flip 15/8 to 8/15. Hope this helps
Answer:
The possible combinations of two letters is 12
Step-by-step explanation:
Here, we want to count the possible combinations of two letters
Now, for the first letter any point in time, we have 4 letters to pick from,
For the second letter we have 3 letters to pick from
So therefore, we have the possible combinations as;
4 * 3 = 12
Answer:
Then this is the expected price for the weekly shipment of rats =13.25
Step-by-step explanation:
Suppose the price for the shipment of rats are as follow
price 10 12.50 15
and probability may be
0.2 0.3 0.5
then the expected value is equal to
=10* 0.2 + 12.50 *0.3 + 15 *0.5
=13.25
then this is the expected price for the weekly shipment of rats
<h2><u>Q</u><u>u</u><u>e</u><u>s</u><u>t</u><u>i</u><u>o</u><u>n</u>:-</h2>
The radius of the base of a cone is 4 inches. The slant height of the cone is 6 inches. Which is closest to the surface area of the cone ?
<h2><u>A</u><u>n</u><u>s</u><u>w</u><u>e</u><u>r</u>:-</h2>
<h3>Given:-</h3>
Radius (r) of the base of a cone is 4 inches.
Slant height (l) of the cone is 6 inches.
<h3>To Find:-</h3>
Which is closest to the surface area of the cone ?
<h2>Solution:-</h2>
We know,
Formula of surface area of a cone is πr(r + l) sq. units.
Taking value of π = 3.14
So, Surface area of the cone = 3.14 × 4(4 + 6)
Surface area of the cone = 12.56 × 10
Surface area of the cone = 125.6 sq. inches.
126 sq. inches is closest to 125.6 sq. inches.
So, option (H) <u>1</u><u>2</u><u>6</u><u> </u><u>s</u><u>q</u><u>.</u><u> </u><u>i</u><u>n</u> is correct. [Answer]