Answer:
The correct option is 1.
Step-by-step explanation:
The given parent function is
![y=\sqrt{x}](https://tex.z-dn.net/?f=y%3D%5Csqrt%7Bx%7D)
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
![y=\sqrt{x+4}-1](https://tex.z-dn.net/?f=y%3D%5Csqrt%7Bx%2B4%7D-1)
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.
You can compare ratios by using a colen, the word "to", and a fraction. Examples
3:4
3 to 4
3/4
Answer:
15/2 or 7.5
Step-by-step explanation:
![5/6 (x + 1/2 + 4)](https://tex.z-dn.net/?f=5%2F6%20%28x%20%2B%201%2F2%20%2B%204%29)
distribute 5/6 to each number
![5/6x + 5/12 + 10/3](https://tex.z-dn.net/?f=5%2F6x%20%2B%205%2F12%20%2B%2010%2F3)
change the fraction 10/3 so that it will have the same denominator as 5/12
= 40/12
![5/6x + 5/12 + 40/12\\5/6x + 45/12](https://tex.z-dn.net/?f=5%2F6x%20%2B%205%2F12%20%2B%2040%2F12%5C%5C5%2F6x%20%2B%2045%2F12)
divide both sides by 5/6
![x = 9/2](https://tex.z-dn.net/?f=x%20%3D%209%2F2)
![5/6*9/2+5/12+10/3 = \frac{15}{2}](https://tex.z-dn.net/?f=5%2F6%2A9%2F2%2B5%2F12%2B10%2F3%20%3D%20%5Cfrac%7B15%7D%7B2%7D)
Answer:
Tax= $ 7,173.5
Step-by-step explanation:
Her taxable income is $ 43,000 which lies in the tax category $ 31,850 to
$ 77,100.
Tax for $ 31,850 is $ 4,386
Plus 25% of the amount = ( $ 43,000- $ 31,850 )= $ 11,150 over
25 % of $ 11,150= $ 2,787.5
Total Tax= $ 4386 + $ 2787.5= $ 7,173.5
Step-by-step explanation:
yes
To find the 'maximum height' we will need to take the derivative of h(t) = –16t² + 32t + 6 then set it equal to zero, then solve for t. this t will be the time at which the ball reaches it's maximum height.