Answer: The value of 'h' is 3.
Step-by-step explanation: Given that the vertex form of a function is given by

We are to find the value of 'h' when the following function is converted to the vertex form.

From equation (ii), we have

Comparing it with the vertex form (i), we get

Thus, the value of 'h' is 3.
The quadrant that the graph will not go through is the second quadrant.
The reason is that the slope is positive and there was a translation 6 units down
<h3>How to know the quadrant the graph will not pass</h3>
The quadrants are named in anticlockwise direction starting from the first which has x - positive and y - positive
The graph of y = 2x/3 is a graph with positive slope, moving through the third and first quadrant.
y = 2x/3 - 6 means a translation 6 units down and this pushed the line to get to the fourth quadrant
Hence the remaining quadrant that is untouched is the second quadrant
The graph is attached
learn more about graphs here:
brainly.com/question/25184007
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We first need to factorize (if possible) the denominators:
we can see that

as 2 and 5 are two numbers whose sum is 7 and product is 10.
Similarly, we can see that

as 2 and 3 are two numbers whose sum is 5 and product is 6.
Thus, the expression is:

.
Now to make the denominators equal, but to also keep them as small as possible, the common denominator must be (p+3)(p+2)(p+5).
Answer: (p+3)(p+2)(p+5).
Answer:
40,999
Step-by-step explanation:
95,234-35,295= 59,939 and then 59,939-19,240= 40,999
Answer:
Step-by-step explanation:
Subtract 8