Given:
The given functions are:
To find:
The transformations performed of f(x) to create g(x).
Solution:
The translation is defined as
.... (i)
Where, k is stretch factor, a is horizontal shift and b is vertical shift.
If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
We have,
Using these two function, we get
...(ii)
On comparing (i) and (ii), we get
It means the graph of f(x) is vertically stretched with a scale factor of 3, shifts 5 units left and 2 units down to get g(x).
Therefore, the correct options are A and C.
Answer:
x = 4,
x = -2
Step-by-step explanation:
( x - 4 ) ( x + 2 ) = 0
Find out when the equation is 0,
When x = 4,
substitute in 4 for x,
( 4 - 4 ) ( 4 + 2 ) = 0
(0) ( 6) = 0 (any number multiplied by 0 is 0).
When x = -2
Substitue in -2 for x,
( -2 - 4 ) ( -2 + 2 ) = 0
(-6) (0) = 0 (again, any number multiplied by 0 is 0).
Answer:
we will fail to reject the null hypothesis and conclude that the return rate is less than 20%.
Step-by-step explanation:
We are given;
Sample size;n = 6970
Success rate;X = 1334/6970 = 0.1914
Now, we want to test the claim that the return rate is less than p = 0.2, hence the null and alternative hypothesis are respectively;
H0: μ < 0.2
Ha: μ ≥ 0.2
The standard deviation formula is;
σ = √(x(1 - x)/n)
σ = √(0.1914(1 - 0.1914)/6970)
σ = 0.004712
Now for the test statistic, formula is;
z = (x - μ)/σ
z = (0.1914 - 0.2)/0.004712
z = -1.825
From the a-distribution table attached, we have a value of 0.03362.
This p-value gotten from the z-table is more than the significance value of 0.01. Thus, we will fail to reject the null hypothesis and conclude that the return rate is less than 20%.
Answer:
student a answered correctly
Step-by-step explanation:
student b didn't multiply the crossproducts
Answer:
Its C. What convinces you that the two reflections together complete a rotation between the February 28 and March 1 images?
Step-by-step explanation:
In addition to writing new facts for February 29, you gotta do what you learned and add the houses
