Answer:
See explanation
Step-by-step explanation:
1. The given function is

The domain values are: x=0, 2, -1, 4, -2
When x=0

When x=2,

When x=-1

When x=4

When x=-2

2. The given function is

When x=3,

Similarly,




Answer:
x = 3.2
Step-by-step explanation:
Since, intercepts made by parallel lines on the transversals are in proportion.
AB = BC.... (given)
From equations (1) & (2)
Therefore,
7x - 9 = 2x + 7
7x - 2x = 9 + 7
5x = 16
x = 16/5
x = 3.2
Answer:
x > -4
Step-by-step explanation:
Inequalities like these are solved the same way equations are solved, except when multiplying both sides you flip the less than/greater than sign:
3x + 7 > -x -9
3x + 7 - 7 > -x -9 -7 Subtract 7 from both sides
3x > -x -16
3x + x > -x -16 + x add x to both sides
4x > -16
>
divide both sides by 4
x > -4
In this case the inequality sign did not have to be flipped since we never multiply both sides by a negative number.
Answer:
-5y + 8x
Step-by-step explanation:

Answer:
The integers could be 21 and 22
or -22 and -21
Step-by-step explanation:
If two integers are consecutive, then it means that their difference is just 1
if we have the initial value as x , then the other value could be x-1 or x + 1
let us go with x-1
So the product here is;
x(x-1) = 462
x^2-x = 462
x^2 -x -462 = 0
x^2 -22x + 21x - 462 = 0
x(x-22) + 21(x-22) = 0
(x + 21)(x-22) = 0
x = -21 or x = 22
If x = -21
x -1 = -21-1 = -22
if x = 22
x -1 = 22-1 = 21