Step-by-step explanation:
f(x)=4x+3. f(x)=27
so 27=4x+3
27-3 =4x
24=4x
x=24/4
x=6
Answer:
<em>Rajan must use </em><em>0.75</em><em> liters of 5% hydrochloric acid solution and </em><em>0.25</em><em> liters of 45% hydrochloric acid solution.</em>
Step-by-step explanation:
Let us assume that, x liters of the 5% hydrochloric acid and y liters of the 45% hydrochloric acid solutions are combined.
As Rajan need total of 1 liter of solution, so
i.e
--------------------1
As Rajan needs 5% hydrochloric acid and 45% hydrochloric acid to make a 1 liter batch of 15% hydrochloric acid, hence acid content of the mixture of two acids will be same as of the final one, so

i.e
-------------2
Putting value of x from equation 1 in equation 2,





Putting the value of y in equation 1,

Therefore, Rajan must use 0.75 liters of 5% hydrochloric acid solution and 0.25 liters of 45% hydrochloric acid solution.
Add 6 to left middle and right
then, divide them all by 3
The vertex form needed is :

Given the equation:

The vertex form of
is given by:

Here, (h,k) is the vertex of the parabola equation given.
Conversion will go like this:

This is the resultant vertex form.
Thus the vertex form needed is :

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