Answer:
Rearrange the numbers to their like terms.
which is 2x-x=56-20.
x=36.
Answer: The y-value of the vertex is
Step-by-step explanation: we know that
The equation of a vertical parabola into vertex form is equal to
where
(h,k) is the vertex of the parabola
In this problem we have
-----> this a vertical parabola open upward
Convert to vertex form
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Factor the leading coefficient
Complete the square. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
The vertex is the point
The y-value of the vertex is
Answer: 22.5 yards
Step-by-step explanation:
There are a total of 20 parts yarn. This means that 3/20 of the carpet is silver. So in order to compare this to the 150 meters of total yarn, you would set up this equation:
3/20 = x/150
Next, you cross multiply:
3*150 = 20*x or simplified would be 450 = 20x
Next, you divide both sides by 20 to get x by itself.
450/20 = 22.5, so x is equal to 22.5
This means you have 22.5 yards of silver in the carpet.