All that's necessary is to add 4 to both sides of the equation. This gives
... y = 1/2(x -8) +4
If you like, you can simplify this by eliminating the parentheses and collecting terms.
... y = 1/2·x -4 +4
... y = (1/2)x
Answer:
Option (1)
Step-by-step explanation:
Given inequality is.
4x + 5 ≥ 13
We will further solve this inequality,
(4x + 5) - 5 ≥ 13 - 5
4x ≥ 8

x ≥ 2
Therefore, on a number line solution of x will be all values of x greater than equal to 2.
Which will be represented by and arrow starting with a solid point from x = 2 directing towards numbers greater than 2.
Option (1) will be the answer.
Answer:
16 nickels thicker
Step-by-step explanation:
You would need 20 nickels for 1 dollar and only 4 quarters for 1 dollar. Do 20 minus 4 and your answer is 16 nickels. The stack of nickels is 16 coins thicker. Hope this helped!
Answer:

Step-by-step explanation:
Replace y with f(x).

Swap x and y and solve for y



Answer:
bus = 43
van 12
Step-by-step explanation:
This can be solved using simultaneous equations
Let v represent the number of students that a van carries
Let b represent the number of students that a bus carries
the following equations can be derived from the question
3v + 2b = 122 eqn 1
5v + 3b = 189 eqn 2
Multiply eqn 1 by 5 and eqn 2 by 3
15v + 10b = 610 eqn 3
15v + 9b = 567 eqn 4
Subtract equation 4 from 3
b = 43
Substitute for b in equation 1
3v + 2(43) = 122
solve for v
v = 12