They ran 1 and 5/6 miles. This is just under 2 miles, so no, they did not run 2 miles.
The function (fg)(x) is a composite function
The value of the function (fg)(x) is 2x^3 + 7x^2 - 19x - 20
<h3>How to determine the function (fg)(x)?</h3>
The functions are given as:
f(x) = 2x^2 - 3x - 4 and g(x) = x + 5.
To calculate (fg)(x), we make use of
(fg)(x) = f(x) * g(x)
So, we have:
(fg)(x) = (2x^2 - 3x - 4) * (x + 5)
Expand
(fg)(x) = 2x^3 - 3x^2 - 4x + 10x^2 - 15x - 20
Collect like terms
(fg)(x) = 2x^3 - 3x^2 + 10x^2 - 4x - 15x - 20
Evaluate
(fg)(x) = 2x^3 + 7x^2 - 19x - 20
Hence, the function (fg)(x) is 2x^3 + 7x^2 - 19x - 20
Read more about composite function at:
brainly.com/question/10687170
Answer:
Step-by-step explanation:
3x + 5y = 7
Since that is our original form, let's convert it so that we can find the slope:
5y = -3x + 7
y = -3/5 x + y
To get a perpendicular line, we need the negative reciprocal of the slope. This means that the sign switches and numerator and denominator flip:
m = 5/3
From here, we use the point-slope equation and then convert that into slope-intercept form:
y - y1 = m(x - x1)
y - 6 = 5/3(x - 0)
y - 6 = 5/3x
The radius is 7 what it is telling you is that you already did the square 4^2*3.14=49 pi.
The initial value is how much he starts out with, and it says he has $32
So the initial value is B, $32
