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:
x =7 or x = -4
Step-by-step explanation:
|2x – 3| = 11
There are two solutions to an absolute value equation, one positive and one negative
2x-3 =11 or 2x-3 = -11
Add 3 to each side
2x-3+3 = 11 +3 2x-3+3 = -11+3
2x = 14 2x = -8
Divide each side by 2
2x/2 =14/2 2x/2 = -8/2
x =7 x = -4
Answer:
1) 6/4 or 1 1/2, so you fill in 6 of the lines in the model
2) 8/6 or 1 1/3, so you need to fill in 8 of the lines in the model
Step-by-step explanation:
Hope this helps!
Answer: 875
Step-by-step explanation:
You can set up proportions so it’s like: 1/350=2.5/x and then solve for x
Commutative Property states ab = ba
