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:
3x - 11
Step-by-step explanation:
x + 5/ 3x-11
3x - 11 is the quotient
B. 5 cm, 6 cm, 7 cm . because the sum of two sides should be greater then the 3rd side
The solutions of the equation are -12 and 16
Step-by-step explanation:
Absolute value describes the distance of a number on the number line from 0 without considering which direction from zero the number lies. The absolute value of a number is never negative, if IxI = a, where a > 0, then
∵ 2Ix - 2I - 8 = 20
- At first add 8 to both sides
∴ 2Ix - 2I = 28
- Then divide both sides by 2
∴ Ix - 2I = 14
Now By using the notes above equate x - 2 by 14 and -14
∵ x - 2 = 14
- Add 2 to both sides
∴ x = 16
∵ x - 2 = -14
- Add 2 to both sides
∴ x = -12
The solutions of the equation are -12 and 16
Learn more:
You can learn more about solving equations in brainly.com/question/2386054
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Polynomial are expressions. The equivalent four-term polynomial of x²+16x+48 is x²+12x+4x+48.
<h3>What are polynomial?</h3>
Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.
In order to find the equivalent four-term polynomial of the given quadratic equation, we will break constant b(16) into two parts such that the sum of the parts is 16, while their product is equal to the product of the constant a(1) and c(48).
Therefore, the solution of the polynomial is,
Hence, the equivalent four-term polynomial of x²+16x+48 is x²+12x+4x+48.
Learn more about Polynomial:
brainly.com/question/17822016
