Answer:
x > 1/5
Step-by-step explanation:
All of these three triangle inequalities must be satisfied:
AB +BC > AC
BC +CA > BA
CA +AB > CB
___
Taking these one at a time, we have ...
AB +BC > AC
3x +4 + 2x +5 > 4x
x +9 > 0 . . . . . subtract 4x
x > -9
__
BC +CA > BA
2x +5 + 4x > 3x +4
3x > -1 . . . . . . subtract 3x+5
x > -1/3 . . . . . divide by 3
__
CA + AB > CB
4x + 3x +4 > 2x +5
5x > 1 . . . . . . subtract 2x+4
x > 1/5
___
The only values of x that satisfy all of these inequalities are those such that ...
x > 1/5
<span>The quotient of two numbers is negative. It must be true that B. one of the numbers is negative.
If neither number is negative, then their quotient will be positive, because both numbers are positive. If both numbers are negative, then their quotient will also be positive.
But since B is correct, their quotient will be negative.
For example: -9/3 = -3</span>
F rests at (0/0) and grows upwards, so there is only a single x-intercept. g is f moved 3 to the left, so it also only has one intercept but at (-3,0).
Answer:
y=-75x+2400
Step-by-step explanation:
y is the height
-75 is the rate of change so you put that before your x
2400 is your starting value/y intercept
not very good explanation but hope this helps
Answer:
The distance between F and A is approximately 6.71 units.
Step-by-step explanation:
To find the distance between any two points, we can consider using the distance formula. Recall that:

Let F(-2, 1) be (<em>x</em>₁, <em>y</em>₁) and A(4, -2) be (<em>x</em>₂, <em>y</em>₂).
Substitute and evaluate:

In conclusion, the distance between <em>F</em> and <em>A</em> is approximately 6.71 units.