Another way to say f(x) is y, so y=0 at -2 and 10. :)
Answer:
21
Step-by-step explanation:
Given the following expressions
f(x) = x³-2x
g(x) =-x-2
We are to find (fog)(-5)
fog = f(g(x))
f(g(x)) = f(-x-2)
Replace x with -x-2 in f(x)
f(-x-2) = (-x-2)³-2(-x-2)
f(-x-2) = (-x-2)³+2x+4
fog = (-x-2)³+2x+4
Substitute x = -5 into the result
fog(-5) = (-x-2)³+2x+4
fog(-5) = (-(-5)-2)³+2(-5)+4
fog(-5) = (5-2)³-10+4
fog(-5) = 3³-6
fog(-5) = 27-6
fog(-5) = 21
Hence the required result of the composite function is 21
Answer:
slope =
Step-by-step explanation:
1) Calculate the slope using slope formula,
. Use the two points given, substitute their x and y values into the formula, and solve.

Thus, the slope is
.
Answer:
A. 13 + t = 17
Step-by-step explanation:
The top rectangle shows 13 and t, the 13 and t rectangle is the same size as the 17 rectangle so 13 + t = 17. It's not multiplication as there's no multiple's of 13 or t on the diagram.
Answer:
C
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given x² + y² + 4x - 10y + 20 = 0
Collect x and y terms and subtract 20 from both sides. that is
x² + 4x + y² - 10y = - 20
To obtain standard form use the method of completing the square
add ( half the coefficient of the x/y term )² to both sides
x² + 2(2)x + 4 + y² + 2(- 5)y + 25 = - 20 + 4 + 25
(x + 2)² + (y - 5)² = 9 ← in standard form
with centre = (- 2, 5) and r =
= 3 → C