Answer:
see below
Step-by-step explanation:
|x - 3| < 4
To remove the absolute values, we need to make two inequalities, one positive and one negative
x-3 < 4 and x-3 > -4
Add 3 to each side
x-3+3<4+3 and x-3+3 > -4+3
x<7 and x >-1
-1 <x <7
Answer:
g(x) = (x -3 )^2 + 2
Step-by-step explanation:
f(x) = (x + 2)^2 + 2
We want to shift this 5 units to the right
The parabola is written in the form
y = a(x-h) ^2 +k where (h,k) is the vertex
The vertex is at ( -2, 2)
We want to shift it 5 units to the right
-2+5 = 3
g(x) = (x -3 )^2 + 2
The sum total of the angles in a triangle is equal to 180° degrees.
x=4 because if you add 7 to 10 you get -2x-3=-14x then you add -2x to -14x and you get -3=-12 then you divide by -3 and -12 to get 4