Answer: A) The only zero of the function is 3 which is where the graph of the function intersects the x-axis
Step-by-step explanation:
Remember, a quadratic function which has roots x = a, and x = b, can be written as:
p(x) = A*(x - a)*(x - b)
Where A is the leading coefficient. This is the factorized form of a quadratic.
We have the function:
f(x) = (x - 3)^2
Now, we could rewrite this as:
f(x) = (x - 3)*(x - 3) = 1*(x - 3)*(x - 3)
Then we wrote f(x) in its factorized form, from this, we can see that the roots of the function are x = 3, and x = 3 (we have the same root two times)
Then the only root of f(x) is x = 3.
Remember that a root (also called a zero) is the value of x where the function intersects the x-axis. then the correct option here is:
A) The only zero of the function is 3 which is where the graph of the function intersects the x-axis
Answer:
In the given figure the point on segment PQ is twice as from P as from Q is. What is the point? Ans is (2,1).
Step-by-step explanation:
There is really no need to use any quadratics or roots.
( Consider the same problem on the plain number line first. )
How do you find the number between 2 and 5 which is twice as far from 2 as from 5?
You take their difference, which is 3. Now splitting this distance by ratio 2:1 means the first distance is two thirds, the second is one third, so we get
4=2+23(5−2)
It works completely the same with geometric points (using vector operations), just linear interpolation: Call the result R, then
R=P+23(Q−P)
so in your case we get
R=(0,−1)+23(3,3)=(2,1)
Why does this work for 2D-distances as well, even if there seem to be roots involved? Because vector length behaves linearly after all! (meaning |t⋅a⃗ |=t|a⃗ | for any positive scalar t)
Edit: We'll try to divide a distance s into parts a and b such that a is twice as long as b. So it's a=2b and we get
s=a+b=2b+b=3b
⇔b=13s⇒a=23s
Answer:
-3,-3
Step-by-step explanation:
(-3,3) - (0,6)
C’(500)=80 means at 500 pounds of documents, the cost is increasing at a rate of $80 dollars/pound
Answer:
i dont know
Step-by-step explanation:
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