Answer:
-4 is the mimumum of y=-3+cos(x+4)
Step-by-step explanation:
The minimum value of y=cos(x) is -1.
The minimum value of y=cos(x+4) is still -1; the +4 inside the cosine function only affected the horizontal shift.
The minimum value of y=-3+cos(x+4) is -3-1 which is -4. This brought the graph down 3 units so if the minimum was previously -1 and it got brought down 3 units then it's new minimum is -4.
Answer:
First, you have to rewrite the question in a way to isolate your Y. This means moving the -3 over to the other side.
Y = 2(x+1) + 3
Now, you should multiply the 2 out in the parenthesis.
Y=2x+2+3
Now, combine like terms! In this case, your like terms are 2 and 3.
Y=2x + 5
Because there are no more like terms, and Y is completely isolated, Y=2x + 5 is your answer!
Answer:
Step-by-step explanation:
(x+5)/2 = 3
x + 5 = 6
x = 1
(y+9)/2=6
y+9= 12
y = 3
(1, 3)
answer is option 4
Answer:
3 =n
Step-by-step explanation:
-3 +3(n+8)= 2(1 + 6n) - 8
Distribute
-3 +3n +24 = 2 +12n -8
Combine like terms
21+3n = 12n -6
Subtract 3n from each side
21+3n-3n = 12n-3n -6
21 = 9n -6
Add 6 to each side
21+6 = 9n-6+6
27 = 9n
Divide each side by 9
27/9 = 9n/9
27/9 =n
Divide the top and bottom by 3
3 =n