Answer:
C
Step-by-step explanation:
ley y = f(x) and rearrange making x the subject
y =
- 1 ( add 1 to both sides )
y + 1 =
( multiply both sides by (x + 5)
(y + 1)(x + 5) = 1 ← expand factors using FOIL
xy + 5y + x + 5 = 1 , that is
xy + x + 5y + 5 = 1 ( factor first/second and third/fourth terms on left side )
x(y + 1) + 5(y + 1) = 1 ← factor out (y + 1) from each term on left side
(y + 1)(x + 5) = 1 ( divide both sides by (y + 1) )
x + 5 =
( subtract 5 from both sides )
x =
- 5
Change y back into terms of x with x =
(x) , then
(x) =
- 5 where x ≠ - 1
Answer:
factors are any group of number or expressions which, when multiplied, produce another number or expression.
Basic example: 4 can be broken into 2 factors---2 and 2. 2 times 2 = 4
Example using an unknown:
2X + 6 = 2 * (X + 3)
In the given problem, there is no whole-number common factor. A normal convention would be to factor based on the unknown term----thus 8X is factored into 8 and X.
So: 8X + 7 = 8 ( X + 7/8 )
The following would also be correct:
8X + 7 = 4 ( 2X + 7/4 )
Step-by-step explanation:
Answer:
a²-17=8
Step-by-step explanation:
5²-17= 25-17
= 8
Answer:its -10 and 10 that is marked
Step-by-step explanation:
Answer:
Remember that a triangle's area is bh/2, where
b = base
h = height
So. You start with a triangle of base b and height h, add 2 to the height, and get a triangle of area 82.5.
b(h+2)/2 = 82.5
b(h+2) = 165
What you want to do from here is test the b and h from the choices given, and figure out which b and h satisfy this.
(a) If b=13 and h=15, b(h+2) = 221 nope.
(b) If b=9 and h=11, b(h+2) = 117 nope.
(c) If b=11 and h=13, b(h+2) = 165 that's it!
Step-by-step explanation: