108-271+215-_____=-103
Im going to combine the first thee numbers and replace the blank with a variable, lets use x.
52 - x=-103
now I am going to subtract 52 on both sides to get the variable alone
-x=-155
Im going to multiply both sides to eliminate the negitive in the variable
x=155
If you want to check just plug 155 into the blank
108-271+215-155=-103
-163+215-155=-103
52-155=-103
-103=-103
so after checking work the blank is equal to 155.
A translation 2 units right and 4 units down
(x,y —> (x+2, y-4)
Answer:

Step-by-step explanation:
The question above is answered below.

Take the LCM of the denominators and simplify. The LCM is 12.

To get 6 + 2 above, we divide 12 by 4 which equals 3 then multiply 3 by 2, total 6. Similarly to get 2, we say 13 divided by 2, equals 2; 2 times 1 equals 2.

The fraction above has to be simplified to reduced form. Thus the answer below.

Therefore, the total amount of walnuts and pecans needed for the recipe is 2/3.
Answer:
y = tan(x -π) -1
Step-by-step explanation:
It looks like a straight tangent function shifted down one unit. Since the tangent function has a period of π, ...
tan(x -π) = tan(x)
so you're only looking for the function that has a translation downward of 1 unit. Of course that translation is accomplished by adding -1 to the original function.
The appearance of the graph is of ...
y = tan(x) -1
The choice that is equivalent to this is ...
y = tan(x -π) -1