Answer:
y= x2 + 8x - 1 is y=(x+4) 2-17
Step-by-step explanation:
First find - b/2 = - 4, so -4 will be added to x inside the parenthesis.
Next , find c - b2 to find the value you added at the end
y= (x- b2) 2 + c - b2
y= (x+4) 2 - 17
The quadratic equation
can be written in the form:
Where p and q are the roots of the equation.
Given p = 4, q = -2, a = 3, the quadratic will look like this:
Finally, distribute and combine like terms to put it in standard form.
First consider (x+c)^2 where c is just a random constant. if we expand this by foil (which is distributive property twice), we get x^2 + 2cx+ c^2. we want to find c^2 and to do that, we can first find c. we can find c by looking at the 2cx term. this term should match with 12x, so therefore 2c = 12 so c = 6. this also implies that c^2 = 36.
note that for this problem i was working backwards which is a very powerful problem solving tool: start with what you want to attain, and then see how you can go from where you are now to get to your destination.
let me know if you have any questions!!!
Answer:
for n ≤ 3
we are going to put a circle on the 3 and make it filled in then you are going to start an arrow starting from the 3 going to the left all the way to the -10.
The question can be answered using ratio and proportion.
In 40 minutes, Tracy can rake 4 bags of leaves. In 2 hours (which is equivalent to 120 minutes), how many bag will it be?
Making the equation.
4 : 40 = BAGS : 120
4 x 120 = 40 x BAGS
480 = 40 (BAGS) // Divide both sides by 40
BAGS = 12.
So there will be 12 bags of leaves.
