Method 1 :
(152+138+160)÷3 = 150
(152+138+160+198)÷4 = 162
Then his average score will increase
Method 2 :
Since 198 > 150 then the average will increase automatically.
Answer:
Step-by-step explanation:
1st shelf: 48cm
2nd shelf: 114cm
3rd shelf: 36cm
4th shelf: 52cm
Total length: 250cm or 2.5m
Answer:
B.
Step-by-step explanation:
First, let's start from the parent function. The parent function is:
The possible transformations are so:
,
where a is the vertical stretch, b is the horizontal stretch, c is the horizontal shift and d is the vertical shift.
From the given equation, we can see that a=1 (so no change), b=3, c=-3 (<em>negative </em>3), and d=3.
Thus, this is a horizontal stretch by a factor of 3, a shift of 3 to the <em>left </em>(because it's negative), and a vertical shift of 3 upwards (because it's positive).
For this case we have the following system of equations:
We solve by the substitution method:
We substitute the first equation in the second equation:
We apply distributive property considering that
We subtract 69 from both sides of the equation:
We divide by 8 on both sides of the equation:
We look for the value of the variable y:
Thus, the solution of the system is
Answer: