Answer:
The correct option is 1.
Step-by-step explanation:
The given parent function is

1. Domain of the function is all positive real number including 0.
2. Range of the function is all positive real number including 0.
3. It is an increasing function. It increases at decreasing rate.
First graph increase at decreasing rate and it starts from (-4,-1), therefore the required function is

Therefore graph 1 is an example of a function whose parent graph is of the form y = √x.
Second graph is a parabola, so it is the graph of a quadratic function.
Third graph is a rectangular hyperbola, so it is the graph of a rational functions.
Fourth graph is increasing at increasing rate, so it is the graph of an exponential function.
Therefore options 2, 3 and 4 are incorrect.
Answer:

Step-by-step explanation:
The standard equation of a straight line is of the form:

We have to convert the given equation into above form.
Simplifying the given equation:


.- This is in standard form
where 
Let h be the numbers of hours, f be the one-time fee and c the cost charged. The equation is

Since you pay $15 per four, plus the fee. We can solve this equation for the fee:

If we plug c=195 and h=9, we have

Answer:
x = 55
Step-by-step explanation:
Draw a line parallel to the top and bottom parallel lines so this new line goes through the pointed end of x.
Draw another line parallel to the top and bottom lines through the pointy end of 45.
The bottom angle of the line through 45 is 15 degrees (alternate interior angles.
The top angle is 45 - 15 = 30
The bottom angle of the line going to x is 150 degrees. It and the 30 degree angle make 180. 30 + 150 = 180
One final observation The top angle of made by the line going through x is 180 - 25 = 155
What you have now is
155 + 150 + x = 360
305 + x = 360
x = 360 - 305
x = 55
Answer:
The original length was 41 inches and the original width was 16 inches
Step-by-step explanation:
Let
x ----> the original length of the piece of metal
y ----> the original width of the piece of metal
we know that
When squares with sides 5 in long are cut from the four corners and the flaps are folded upward to form an open box
The dimensions of the box are

The volume of the box is equal to


so

simplify
-----> equation A
Remember that
The piece of metal is 25 in longer than it is wide
so
----> equation B
substitute equation B in equation A

solve for y

Solve the quadratic equation by graphing
using a graphing tool
The solution is y=16
see the attached figure
Find the value of x

therefore
The original length was 41 inches and the original width was 16 inches