What does > mean?
10x + 16 ≥ 6x + 20
Subtract both sides by 16
10x ≥ 6x + 4
Subtract both sides by 6x
4x ≥ 4
Divide both sides by 4
x ≥ 1
I believe this is your answer good luck!!
<<<Emily>>>
To answer this, you need to know the general form of an absolute value function. the equation for this is f(x<span>) = </span>a|x<span> - </span>h<span>| + </span>k, and in this equation, the vertex is (h, k).
with that information, you can see that your vertex will be (-5, 7). you must take the negative for 5 because the general equation states that your h value is usually subtracted from x. to check your vertex, try plugging it into your general equation:
f(x) = a|x - (-5)| + 7
f(x) = a|x + 5| + 7 ... you see that this matches your given equation. this last part here was just to show why your 5 must be negative; your answer is bolded.
<u>Given</u>:
The quadratic equation is 
We need to determine the solutions of the quadratic equation.
<u>Solution</u>:
Let us solve the equation to determine the value of x.
Adding both sides of the equation by 5x and 3, we get;
The solution of the equation can be determined using quadratic formula.
Thus, we get;
Thus, the two roots of the equation are 
and 
Hence, the solutions of the equation are and
Maximum speed: 55mph + 5mph = 60mph
minimum speed: 55mph - 5mph = 50mph
Hope this helped?
