-x-y=1
-y=1+x
y=-1-x
-1-x=-2x+9
-x=-2x+10
x=10
y=-1-10
y=-11
Answer:
450
Step-by-step explanation:
You basically do 1350 * 1/3 or 1350/3
Answer: I uploaded the answer to a file hosting. Here's link:
Step-by-step explanation:
Answer:
Function 
is shifted 1 unit left and 1 unit up.
Transformed function 
Step-by-step explanation:
Given:
Red graph (Parent function):
Blue graph (Transformed function)
From the graph we can see that the red graph is shifted 1 units left and 1 units up.
Translation Rules:
If 
the function shifts 
units to the left.
If 
the function shifts units to the right.
If the function shifts units to the up.
If the function shifts units to the down.
Applying the rules to
The transformation statement is thus given by:
As function is shifted 1 unit left and 1 unit up.
Transformed function is given by:
The answer can be readily calculated using a single variable, x:
Let x = the amount being invested at an annual rate of 10%
Let (8000 - x) = the amount being invested at an annual rate of 12%
The problem is then stated as:
(x * 0.10) + ((8000 - x) * 0.12) = 900
0.10(x) + ((8000 * 0.12) - 0.12(x)) = 900
0.10(x) + 960 - 0.12(x) = 900
0.10(x) - 0.12(x) = 900 - 960
-0.02(x) = -60
-0.02(x) * -100/2 = -60 * -100/2
x = 6000 / 2
x = 3000
Thus, $3,000 is invested at 10% = $300 annually; and $8,000 - $3,000 = $5,000 invested at 12% = $600 annually, which sum to $900 annual investment.
