Y = -0.4x
1) It is a straight line
2) I passes through the origin (0,0), because the y-intercpet is 0.
3) The slope is negative, so it passes throuh II and III quadrants
4) The magnitude of the slope = 0.4
4) The angle of the line with the negative side of the x-axis is that whose tan is 0.4 => angle = 21.8 °
With all that information you can identify the graph, given that you didn't include the options.
Answer:
9feet
Step-by-step explanation:
Given the path of the toy modeled by the function f(x)=−x^2+4x+5, where x is the number of feet the toy is from Emmy and f(x) is the height of the toy.
AT maximum height, the velocity of the toy will be zero. Hence;
df(x)/dx = 0
-2x + 4 = 0
-2x = -4
x = -4/-2
x = 2
Get the maximum height;
Substitute x = 2 into the given function;
f(x)=−x^2+4x+5
f(2)=−2^2+4(2)+5
f(2) = -4+8+5
f(2) = 9feet
Hence the maximum height of the toy is 9feet
Answer:
f(g(-6)) is equal to 60
Step-by-step explanation:
We can simply solve this by first plugging -6 into function 6, and then applying function f to the result of that.
