Answer:

Step-by-step explanation:
We are given that

f(0)=-3,f(1)=2,f(3)=5 and f(4)=0
We have to find the polynomial
Substitute the value x=0 then ,we get
f(0)=d=-3
Substitute x=1 then we get


(equation I)
Substitute x=3 then we get


(Equation II)
Substitute x=4 then we get

(Equation III)
Equation I multiply by 3 then subtract from equation II
(Equation IV)
Equation II multiply by 4 and equation III multiply by 3 and subtract equation II from III
(Equation V)
Equation IV multiply by 2 and then subtract from equation V



Substitute the value of a in equation IV then we get




Substitute the value of b in equation I then we get



Substitute the values then we get

Answer:
$0.60
Step-by-step explanation:
2 • 4 = 6
6 • 0.10 = 0.60
Answer: 
Step-by-step explanation:
By definition, a Dilation is a transformation in which the image has the same shape as the pre-image but size changes.
The center of dilation is a fixed point in the plane, and the scale factor is the ratio of the corresponding sides of the image to the pre-image.
Based on the information provided in the exercise, you know that:

Thererefore, you can determine that the scale factor is:
Given:
Point B has coordinates (4,1).
The x-coordinate of point A is -4.
The distance between point A and point B is 10 units.
To find:
The possible coordinates of point A.
Solution:
Let the y-coordinate of point A be y. Then the two points are A(-4,y) and B(4,1).
Distance formula:

The distance between point A and point B is 10 units.

Taking square on both sides, we get



Taking square root on both sides, we get



and 
and 
Therefore, the possible coordinates of point A are either (-4,-5) or (-4,7).