The first digit of a number can be 1-9. The 2nd and the 3rd digit can be 1-10. The last digit can be 0 or 5 ( 2 numbers ):
9 * 10 * 10 * 2 = 1,800
She could pick 1,800 different 4-digit numbers.
4. proportional
5. proportional
6. I don't know what functions are
7. It has a straight line and distance is proportional to time.
Answer:
The constant of variation is 3
Step-by-step explanation:
Given.
And y is directly related to x
∝ 
Here k is constant of variation
--------------(1)
Put the and value in equation 1.
So, the constant of variation is 3.
For this case , the parent function is given by [tex f (x) =x^2
[\tex]
We apply the following transformations
Vertical translations :
Suppose that k > 0
To graph y=f(x)+k, move the graph of k units upwards
For k=9
We have
[tex]h(x)=x^2+9
[\tex]
Horizontal translation
Suppose that h>0
To graph y=f(x-h) , move the graph of h units to the right
For h=4 we have :
[tex ] g (x) =(x-4) ^ 2+9
[\tex]
Answer :
The function g(x) is given by
G(x) =(x-4)2 +9
Answer:
1. No
2. Right triangle
3. No
4. Right triangle
Step-by-step explanation:
A, B = two smallest sides
C = hypotenuse, largest side
Pythagorean theorem. If A^2 + B^2 = C^2, then you have a right triangle.
