Answer:
option: C is correct.
Step-by-step explanation:
since, we are given a parent function f(x) as: f(x)=x.
We are asked to find what change will occur in the function when the parent function f(x) is replaced by f(9x).
let g(x) be the function formed by replacing f(x) with f(9x) i.e.
g(x)=f(9x)=9x.
clearly the slope of the function g(x)=f(9x) is 9. ( since on comparing the equation with the slope intercept form y=mx+c; where m is the slope of the line and c is the y- intercept).
whereas the slope of the function f(x)=x is 1.
Hence there is an increment of slope by a factor of 9.
Hence, option C is correct.
Answer:
x^2 - xy + 1
Step-by-step explanation:
x^2 - xy + 2x/2x
2x/2x = 1
x^2 - xy + 1
This is the furthest we can simplify this expression with the given information.
Answer:
<h2>25</h2>
Step-by-step explanation:
The rate of change of number of tree y on x branches of a tree is expressed as shown;
m = Δy/Δx where;
m is the rate of change
Δy is the change in number of leaves between 3 and 4
Δx is change in number of branches between 3 and 4
m = Δy/Δx = y₂-y₁/x₂-x₁
From table between 3 and 4, y₂ = 100, y₁ = 75, x₂ = 4, x₁ = 3
m = 100-75/4-3
m = 25/1
m = 25
<em>Hence the rate of change between 3 and 4 branches is 25</em>
Answer:
The fraction of all shapes which are square in shape is 
.
Step-by-step explanation:
Given that , in a game , white and black shapes are used. Some of them are circle in shape and remains are square in shape.
The ratio of white to black shapes are 5:11.
Consider 5x= the number of shapes which are white in color.
11x= The number of shapes which are black in color.
There are (5x+11x)= 16x shapes in the game.
The white circle and white square are in the ratio 3:7.
The number of white square is
The black circles and black square are in the ratio 3:8
The number of black square is
=8x
Therefore the total number of shape which are square is
The fraction of all shape are square is
The equation of the line is x=4
