The linear parent function f(x) = x is transformed to g(x) = 1/3x-5. Which statement correctly compares the graphs of the functi
ons?
1 answer:
Answer:
A
Step-by-step explanation:
The graph of the parent function f(x)=x is the straight line that passes trough the origin and is the bisector of first and third coordinate quadrants (red line in attached diagram).
The graph of the function g(x)=1/3x-5 is the straight line that passes through the point (0,-5) and is less steep (because the slope 1/3 is less than the slope 1). This line is blue line in attached diagram.
So, correct option is option A
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For this case we have that the total of the balls is 86. We know there are 8 footballs then:
Basketball: Two more than twice the number of footballs are basketballs, that is:
There are 18 Basketballs.
Baseballs: Four less than 5 times the number of footballs are baseballs, that is:
There are 36 Baseballs.
Softballs: Six more than half of baseballs are softballs. That is to say:
There are 24 Softballs
If we add we must get 86.
ANswer:
There are 8 Footballs
There are 18 Basketballs.
There are 36 Baseballs.
There are 24 Softballs
I supose your function is: 
Step 1. Replace the coordinates of the first point in your equation:
x=-2, y=3
Solve the equation for "a":
Step 2. Replace the coordinates of the second point in your equation:
x=6, y=35
Replace the value of "a" from Step 1.
Calculate "b":
![b= \sqrt[8]{\frac{35}{3}} = 1.359466](https://tex.z-dn.net/?f=b%3D%20%5Csqrt%5B8%5D%7B%5Cfrac%7B35%7D%7B3%7D%7D%20%3D%201.359466)
Step 3. Replace "b" in first equation and calculate "a":
The equation is:
Step 1. Replace the coordinates of the first point in your equation:
x=-2, y=3
Solve the equation for "a":
Step 2. Replace the coordinates of the second point in your equation:
x=6, y=35
Replace the value of "a" from Step 1.
Calculate "b":
Step 3. Replace "b" in first equation and calculate "a":
The equation is: