Answer:
x = -11/7 and x = 1/7
Step-by-step explanation:
(7x+2)^2+6(7x+2)=27
Subtract 27 from each side
(7x+2)^2+6(7x+2)-27=0
Let m = 7x+2
m^2 +6m -27=0
Factor
(m+9) (m-3) = 0
Using the zero product property
m+9 = 0 m-3 =0
m=-9 m=3
Substitute m = 7x+2 back in
7x+2 = -9 7x+2 =3
Subtract 2 from each side
7x+2-2 = -9-2 7x+2-2 = 3-2
7x = -11 7x =1
Divide by 7
7x/7 = -11/7 7x/7 = 1/7
x = -11/7 and x = 1/7
F(x) basically just substitutes the "y"
so you would bring everything over to one side
y + 3 = 0
subtract 3
y = -3
then
f(x) = -3
That is B)
Answer:
1. -6 -3 0 3 6
-1 0 1 2 3
2. -10 -5 0 5 10
-6 -5 -4 -3 -2
3. -8 -4 0 4 8
0 1 2 3 4
Your graph looks different but just try to follow this one.
Answer: a piecewise function is a function that is defined on a sequence of intervals.
Step-by-step explanation:
A piecewise function is a function that is "different" at different intervals.
The function may behave linearly between x = 0 and x = 10, and after that point, the function may be constant for a while, then change again.
This type of functions can be written as:
f(x) = g(x) if x1 ≤ x ≤ x2
f(x) = h(x) if x2 ≤ x ≤ x3
f(x) = k(x) if x3 ≤ x ≤ x4
and so on, where g(x), h(x) and k(x) are different functions, and those functions only act on the givenintervals: (x1, x2), (x2, x3) and (x3, x4)