Answer:
x>4
Step-by-step explanation:
2x+8<5x-4
subtract 8 from both sides
2x<5x-12
subtract 5x from both sides
-3x<-12
divide both sides by -3 to get x by itself
(REMEMBER THAT WHEN YOU DIVIDE BY NEGATIVES IN INEQUALITIES, THAT YOU HAVE TO FLIP THE INEQUALITY SIGN)
x>4
okay i have question is this more than oonequestion Step-by-step explanation:
also confusing hope you pass cause would have failed
Answer:
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Given:
- Function f(x) = 2|x + 3| - 2
Find a function g which is a horizontal shrink by a factor of 1/3 of f(x).
Horizontal shrink by a factor of k is:
Apply this to the given function:
- g(x) = f(x : 1/3) = f(3x) = 2|3x + 3| - 2 = 6|x + 1| - 2
Answer:
640 m
Step-by-step explanation:
We can consider 4 seconds to be 1 time unit. Then 8 more seconds is 2 more time units, for a total of 3 time units.
The distance is proportional to the square of the number of time units. After 1 time unit, the distance is 1² × 80 m. Then after 3 time units, the distance will be 3² × 80 m = 720 m.
In the additional 2 time units (8 seconds), the ball dropped an additional
... (720 -80) m = 640 m
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<em>Alternate solution</em>
You can write the equation for the proportionality and find the constant that goes into it. If we use seconds (not 4-second intervals) as the time unit, then we can say ...
... d = kt²
Filling in the information related to the first 4 seconds, we have ...
... 80 = k(4)²
... 80/16 = k = 5
Then the distance equation becomes ...
... d = 5t²
After 12 seconds (the first 4 plus the next 8), the distance will be ...
... d = 5×12² = 5×144 = 720 . . . meters
That is, the ball dropped an additional 720 -80 = 640 meters in the 12 -4 = 8 seconds after the first data point.
