Answer:
The vertex is y=-4
Step-by-step explanation:
The vertex is the minimum point of the graph of the quadratic equation.
Let's first find the like of symmetry.
dy/dx=2x+12
2x+12=0
2x=-12
x=-6
Now plug -6 into the quadratic equation
y=(-6)²+12(-6)+32
y=-4
i thimk this might be the answer to question 3 (iii)
I'm sorry I don't know how to solve the first question
Think about this. What do the numbers in a coordinate stand for? They stand for X and Y. If you're trying to figure out what the X is, wouldn't you be solving for x? And didn't they just give you an equation? ;) First off, do you see how the "Y" value is given to you in the coordinate? All you have to do is substitute that 3 in for the "y" in the equation! 3=2x+5. Hey.... that looks like a simple equation! First, you need to subtract 5 from the other side of the equation. Now you're left with 2x=-2. Divide both sides by 2, and you get that x=-1. Now, just substitute that "x' value into the coordinate, and your answer should come out to be (-1, 3). :D
S ( s + 1)/ 2
so <span>The sum of the first 100 positive numbers
100(100 + 1) / 2
= 50(101)
= 5050</span>
Answer
The answer and procedures of the exercise are attached in the following archives.
Step-by-step explanation:
You will find the procedures, formulas or necessary explanations in the archive attached below. If you have any question ask and I will aclare your doubts kindly.