Answer:
What expression?
Step-by-step explanation:
First, we are going to find the vertex of our quadratic. Remember that to find the vertex
of a quadratic equation of the form
, we use the vertex formula
, and then, we evaluate our equation at
to find
.
We now from our quadratic that
and
, so lets use our formula:
Now we can evaluate our quadratic at 8 to find
:
So the vertex of our function is (8,-72)
Next, we are going to use the vertex to rewrite our quadratic equation:
The x-coordinate of the minimum will be the x-coordinate of the vertex; in other words: 8.
We can conclude that:
The rewritten equation is
The x-coordinate of the minimum is 8
Answer:
(-9.5, -4)
Step-by-step explanation:
Given the ratio a:b (a to b) of two segments formed by a point of partition, and the endpoints of the original segment, we can calculate the point of partition using this formula:
.
Given two endpoints of the original segment
→ (-10, -8) [(x₁, y₁)] and (-8, 8) [(x₂, y₂)]
Along with the ratio of the two partitioned segments
→ 1 to 3 = 1:3 [a:b]
Formed by the point that partitions the original segment to create the two partitioned ones
→ (x?, y?)
We can apply this formula and understand how it was derived to figure out where the point of partition is.
Here is the substitution:
x₁ = -10
y₁ = -8
x₂ = -8
y₂ = 8
a = 1
b = 3
. →
→
→
→
→
→
→
**
Now the reason why this
Answer:
Step-by-step explanation:
we have
------->
we know that
The formula to solve a quadratic equation of the form is equal to
in this problem we have
so
substitute in the formula
Remember that
Answer:
Step-by-step explanation:
it means that
125-30 < u < 125+30 so
95 < u < 155
it gives