Here we are given the x intercepts at x=3 and x=9
So let us try to make quadratic equation for this using given information.
We have factors in the form (x-a)(x-b)
where a and b are x intercepts given to us.
So rewriting in factored form:
Now let us simplify it:
Let us find the vertex now,
For a quadratic equation of the form:
For x coordinate , we have the formula,
So using this formula for our equation,
So x = 6
Answer: The x-coordinate of the parabola's vertex is 6.
Answer:
Step-by-step explanation:
→ First look at the first term of each expression and see if they can be simplified, and they can
→ Now look at the a terms, since a larger one is at the top, you subtract
→ Now simplify the b and c terms
There are 100 tens in 1,000
Answer:
vertex = (- 10, - 10 )
Step-by-step explanation:
The equation of a quadratic in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square.
Given
h(x) = x² + 20x + 90
add/subtract ( half the coefficient of the x- term )²
h(x) = x² + 2(10)x + 100 - 100 + 90
= (x + 10)² - 10 ← in vertex form
with (h, k ) = (- 10, - 10 )
Answer:
208
Step-by-step explanation:
First let's find out what each container weighs..
Blue = 4 x 103 = 412
Red = 102 x 2 = 204
Now, Let subtract Blue container by Red Container..
412-204=208
Hence, the blue container weighs 208 more than the red container.
