Answer with explanation:
The equation, y=3 x,
y=Distance traveled
x =Total time
![\frac{\text{Distance traveled}}{\text{Time}}=\frac{y}{x}=3\\\\ \frac{dy}{dx}={\text{Rate of change}}={\text{Velocity}}=3 {\text{unit of time}]](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BDistance%20traveled%7D%7D%7B%5Ctext%7BTime%7D%7D%3D%5Cfrac%7By%7D%7Bx%7D%3D3%5C%5C%5C%5C%20%5Cfrac%7Bdy%7D%7Bdx%7D%3D%7B%5Ctext%7BRate%20of%20change%7D%7D%3D%7B%5Ctext%7BVelocity%7D%7D%3D3%20%7B%5Ctext%7Bunit%20of%20time%7D%5D)
Also, in terms of straight line
Slope =3= uniform Velocity
Point (3,9) and (5,15) represents Distance traveled in 3 (unit of time) =9 unit ,and 15 unit=Distance traveled in 5 (Unit of time).
→Alonso is moving with uniform speed=3 (unit of time), as velocity remains constant in the entire process.
Answer: 36
Step-by-step explanation:
8-2+30
6+30
36
Answer:
See explanation below
Step-by-step explanation:
Let's use Q10 as an example and you will work on Q11-12 as they are the same.
I believe the middle column (5x-4) wants you to substitute the given x, so:
Q10.1: 5(-2)-4
Q10.2: 5(4)-4
Q10.3: 5(0)-4
Q10.4: 5(1)-4
The right most column (f(x)) should be asking you the answers from your middle column, so:
Q10.1: -14
Q10.2: 16
Q10.3: -4
Q10.4: 1
As for the domain and range, let's define these two names in case you haven't learnt them:
Domain: What reasonable x values can be inputted into the function.
Range: What reasonable results will be shown after calculating.
In these case, you can input any real numbers into x as you like into the function, the results will always be other real numbers.
Hence, for Q10-12, D and R should be "All real numbers"
Just some extra info, Let the function f(x) be
. Since the denominator cannot be 0 in a fraction, we say that the domain of x is "All real numbers except -1" as
and
is undefined.
54. 30
^ ^
27 2. 10 3
^ ^
9 3. 5 2
^
3 3
They only have 3 and two in common when you fully factor them. 3×2= 6
6 is the greatest common factor.