Solve the following equation algebraically: -16= 16x^2 how many solutions does this equation have?
1 answer:
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1. Translation of a units to the right and b units up has rule:
(x,y)→(x+a,y+b).
Then the function is
2. Reflection across the y-axis acts in following way:
(x,y)→(-x,y).
Then the function is
3. Reflection across the x-axis acts in following way:
(x,y)→(x,-y).
Then the function is
4. Rotation of 90 degrees counterclockwise about the origin, point O acts bu the rule:
(x,y)→(-y,x).
Then the function is
5. Rotation of 180 degrees counterclockwise about the origin, point O acts bu the rule:
(x,y)→(-x,-y).
Then the function is
6. Rotation of 270 degrees counterclockwise about the origin, point O acts bu the rule:
(x,y)→(y,-x).
Then the function is
Answer:
Step-by-step explanation:
-(4x+6)<2(5x+9)+2x
Distribute:
-4x-6<10x+18+2x
Combine like terms on either side:
-4x-6<12x+18
We want to now gather variable terms on one side of the inequality and constants (terms without variables) on the opposing side.
Add 4x on both sides:
-6<16x+18
Subtract 18 on both sides:
-24<16x
Divide both sides by 16:
-24/16<x
This implies:
x>-24/16
Reduce:
x>-3/2
x>-1.5
So in an interval notation this is .