Answer:
The three zeros of the original function f(x) are {-1/2, -3, -5}.
Step-by-step explanation:
"Synthetic division" is the perfect tool for approaching this problem. Long div. would also "work."
Use -5 as the first divisor in synthetic division:
------------------------
-5 2 17 38 15
-10 -35 -15
--------------------------
2 7 3 0
Note that there's no remainder here. That tells us that -5 is indeed a zero of the given function. We can apply synthetic div. again to the remaining three coefficients, as follows:
-------------
-3 2 7 3
-6 -3
-----------------
2 1 0
Note that the '3' in 2 7 3 tells me that -3, 3, -1 or 1 may be an additional zero. As luck would have it, using -3 as a divisor (see above) results in no remainder, confirming that -3 is the second zero of the original function.
That leaves the coefficients 2 1. This corresponds to 2x + 1 = 0, which is easily solved for x:
If 2x + 1 = 0, then 2x = -1, and x = -1/2.
Thus, the three zeros of the original function f(x) are {-1/2, -3, -5}.
Answer:
B. 236.3
Step-by-step explanation:
Population density can be found by dividing the number of people by the area of the land.
number of people / land area
The population is 20,510 people and the area is 86.8 square miles.
20,510 people / 86.8 square miles
Divide 20,510 by 86.8
236.290323 people /square mile
Round to the nearest tenth. The 9 in the hundredth place tell us to round the 2 to a 3 in the tenth place.
236.3 people/ square mile
There are 236.3 people per square mile and B is correct.
The typical tip would be 19.5, you get this from solving or searching up 15% of 130 equaling to 19.5
height = 15 cm
the volume (V) of a cylindrical can is
V = πr²h ( r is the radius and h the height )
here d = 8 cm ⇒ r = 4 cm
π × 4² × h = 753.6
16πh = 753.6 ( divide both sides by 16π )
h = 753.6 / 16π = 14.99 ≈ 15 cm
The decimal number is 0.9
