If y=3x+4 were changed to y=5x+4 ,how would the graph of the new function compare with the first one ?
2 answers:
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Let us observe the given figure,
When two lines intersect each other, the angles opposite to each other are Vertically Opposite Angles. Vertically opposite angles are always equal in measure.
As, we can observe that the given lines intersect each other, and they form vertically opposite angles as and
Therefore,
Substituting the given measures of the angles, we get
So, x =
Since, the measure of angle POR =
=
=
Therefore, the measure of angle POR is 49 degrees.
Answer:
Step-by-step explanation:
The given equation is
For this function to have an inverse, we must restrict the domain, say
We interchange x and y to get,
We now make y the subject to get;
We divide through by 16 to get;
We now take the square root of both sides to get;
Since , the inverse function is
Answer:
The expression to determine the total cost in dollars is .
Step-by-step explanation:
Given:
Service charge to make a photo book = $20
Cost per extra page = $0.75
Cost to ship the complete photo book = $5
We need to write expression to determine the total cost in dollars.
Solution:
Let the number of extra pages be denoted by 'x'.
Also Let the Total cost be denoted by 'y'.
Now we can say that;
Total cost will be equal to sum of Service charge to make a photo book and Cost per extra page multiplied by number of extra pages and Cost to ship the complete photo book.
framing in equation form we get;
Hence the expression to determine the total cost in dollars is .