Answer:
b. 4x^2 + 3x - 6
Step-by-step explanation:
The values of f(x) for the extremes of x are more positive than the value of f(x) for the middle x, so we know the parabola opens upward. That eliminates choice D.
It is probably easiest to evaluate the other expressions to see which one matches the given f(x) values. For the purpose, it is usually easier to use the Horner form of the equation.
a. f(-2) = (3(-2) +4)(-2) -6 = -2(-2) -6 = -2 ≠ 4
b. f(-2) = (4(-2) +3)(-2) -6 = -5(-2) -6 = 4 . . . . matches the given data point
c. Because (b) matches, we know this one will not.
The appropriate choice is B.
Answer:
30m per gallon
Step-by-step explanation:
150m/5g= 30m/g
Answer:
-1/3; A
Step-by-step explanation:
- to go through the origin, it must pass through (0,0); thus if we plug in 0 for x and 0 for y we are left with 4 + 12(z) = 0, solve for z and we get -1/3
<u>Given</u>:
A rhino runs at a speed of about 28 miles per hour.
We need to determine the speed in feet per second.
<u>Converting miles to feet:</u>
The miles can be converted to feet by multiplying 5280 with 28 miles per hour.
Thus, we have;

Thus, the speed of the rhino in feet per hour is 147840
<u>Converting hours to seconds:</u>
The hours can be converted into seconds by dividing 147840 by 3600 (Because an hour has 60 seconds in a minute and 60 minutes in an hour)
Thus, we get;


Rounding off to the nearest whole number, we get;

Therefore, the speed of the rhino is 41 feet per second.
Hence, Option B is the correct answer.