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:
Distance = 45 meters
Time = 3 seconds
Step-by-step explanation:
Here, we want to calculate distance and time
To find the time, we can use one of the Newtons law of motion
V = U + at
In this question
V = final velocity = 18 m/s
U = initial velocity = 12 m/s
a = acceleration
Thus;
18 = 12 + 2(t)
18-12 = 2t
2t = 6
t = 6/2
t = 3 seconds
Mathematically we can also find the distance using one of the equation of motion;
D = ut + 1/2 at^2
D = 12(3) + 1/2 * (2) * 3^2
D = 36 + 9
D = 45 m
Answer:
38 seeds will grow
Step-by-step explanation:
4/5 = 80%
80% = .8
40*0.8 = 32
Answer:
The answer to your question is: Ф = 43.95°
Step-by-step explanation:
Data
length = 18 ft
distance bottom to is 13 ft
x = angle = ?
Formula
cos Ф = opposite side / hypotenuse
Process
cos Ф = 13 ft / 18 ft substitution
cos Ф = 0.72 simplify
Ф = cos⁻¹ (0.72)
Ф = 43.95° result
