The equation would be y = -5/2x - 14. Since the slope and a coordinate pair was given, I used point slope form to figure out the equation.
Work:
y - 6 = -5/2 (x+8)
y - 6 = -5/2x - 20
+ 6 +6
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y = -5/2x - 14
Answer: D
Step-by-step explanation:
Lets go equation by equation.
A) Is an upside down parabola shifted up 2 units. It will have to go downwards so its range is not greater than 2 (it is actually y < 2).
B) This is your regular old parabola, moved up two and shifted right 1. This means that since the graph is shifted up two, it will be y >= 2 (because the lowest point will be at y = 2).
C) This is a line shifted up 8 with a slope of 2. This will definitely go to infinity in both directions so it doesn't have a limited range.
D) This is an exponential graph shifted up two units. It will go beyond y = 2 and up to infinity. So, its range is y >2.
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What is the solution to 2x-8<12
First, add 8 on both sides:-
2x<12+8
2x<20
Divide by 2 on both sides:-
x<10 (Option C)
So the numbers less than 10 will make this inequality true.
<h3>Good luck.</h3>
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<span>Example: x − 2 = 4</span>
When we put 6 in place of x we get:
6 − 2 = 4
which is true
So x = 6 is a solution.
How about other values for x ?
<span><span> For x=5 we get "5−2=4" which is not true, so x=5 is not a solution.</span><span>For x=9 we get "9−2=4" which is not true, so x=9 is not a solution.</span>etc</span>
In this case x = 6 is the only solution