-8x+14≥60 or -4x+50<58
-8x≥46 or -4x<8
x≤ -23/4 or x>-2
A is correct.
Answer:
5 < x
Step-by-step explanation:
28<6x-2
Add 2 to each side
28+2<6x-2+2
30 < 6x
Divide each side by 6
30/6 < 6x/6
5 < x
Answer:
The correct options are C and D
C. A translation of 5 units up
D. A reflection about the x-axis
Step-by-step explanation:
We have been given as function of the graph:
f(x) = x²
Which is transformed into the function
g(x) = -(x-2)² + 5
Consider the graph of y = x²
To convert it into the graph of given transformed function.
First reflect the graph over x-axis, the equation becomes
y = -(x)²
Then translate the graph 2 units to the right
y = -(x - 2)²
Then translate the graph 5 units up.
y = -(x - 2)² + 5
Thus, the correct statements are C and D
Answer:
AB = 4
Step-by-step explanation:
Calculate AB using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = A(6, 2) and (x₂, y₂ ) = B(0, 10)
AB = 
= 
= 
= 
= 4 ← exact length
