Answer:
y = ½x -3
Step-by-step explanation:
_____________________
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.
9514 1404 393
Answer:
5 1/16 ft
Step-by-step explanation:
h(t) = -16t(t -18/16) . . . . put in intercept form
The function describes a parabola that opens downward. It has zeros at t=0 and t=9/8. The maximum height will be found at the vertex of the parabola, halfway between these zeros.
f(9/16) = (-16)(9/16)² +18(9/16) = 81/16 = 5 1/16 . . . . feet
The approximate maximum height of the leopard is 5 1/16 feet.
Answer:
B) 13
Step-by-step explanation:
Average age means to calculate mean:
Mean = (Sum of all numbers)/(Number of numbers)
Mean = (14 + 14.5 + 12 + 11.5 + 15 + 13 + 10.5 + 13.5)/8
Mean = (104)/8
Mean = 13
On the map the ratio is 3cm:4km
The map distance is 24cm
Our overall ratio is 3 : 4
24 : ?
We can find the scale factor by doing 24/3 which is 8. Then do 8 x 4 = 32km
The actual distance is therefore 32km