Answer:
1. Option C is correct
2. Option A is correct
3. Option C is correct
4. Option B is correct
5. Option D is correct
Step-by-step explanation:
1. x^2-3x-18/x+3
Factorize the numerator
x^2-6x+3x-18/x+3
x(x-6)+3(x-6)/x+3
(x+3)(x-6)/x+3
x-6
x-6 where x≠6
Option C is correct.
2. x-2/x^2+4x-12
Factorizing the denominator
x-2/x^2+6x-2x-12
x-2/x(x+6)-2(x+6)
x-2/(x-2)(x+6)
1/x+6
1/x+6 where x≠-6
Option A is correct.
3. 5x^3/7 x^3+x^4
5x^3/7x^3+x^4
5x^3/x^3(7+x)
5/7+x
Option C is correct
5/7+x where x≠-7
4. Simplify x/6x-x^2
x/6x-x^2
x/x(6-x)
1/6-x
Option B is correct
1/6-x where x≠6
5. 2/3a * 2/a^2
Multiplying both terms
4/3a^3
Option D is correct.
4/3a^3 where a≠0
Answer:
Y=3/2x - 3/2
Step-by-step explanation:
To find the inverse, switch the x and y in the equation. Then solve for y.
Y=2/3x+1
X=2/3y+1
X-1=2/3y
3/2(x-1)=y
3/2x-3/2=y
"<span>How much did your classmates typically spend on music downloads last year?" is a statistical question, and the units would </span>be both the number of students and how many downloads each individual bought.
Answer: 5x+3y=-18
Step-by-step explanation:
Answer:
The side length of the cube is 6 cm
Step-by-step explanation:
The volume of a cube is given by
V = s^3
We know the volume is 216
216 = s^3
Take the cube root of each side
216 ^ (1/3) = s^ (1/3)
6 = s
The side length of the cube is 6 cm
