Answer:
C. -1
Step-by-step explanation:
f(x) = 2/ (-x-1)
As we can see, f(x) is a fraction with two components: numerator (2) and denominator (-x-1).
According to the theorem, the fraction only exists when its denominator is different from 0.
So that in this situation, (-x-1) has to be different from 0
- x - 1 ≠0
=> - x≠ 1
=> x ≠ -1
So that if x = -1, (-x-1) = 0, making the fraction not exist.
So the input is not allowed is x = -1
Teachers often all this problem a donut problem because it’s like the donut hole getting cut out of the middle. The way that you solve this is to find the area of the whole yard and subtract the area of the fountain. Since they are rectangles we’re going to use A = LW
Area of yard - Area of fountain
A = (8x)(9x) - (2x)(5x)
A = 72 x^2. - 10 x^2
A 62 x^2
Answer:

Step-by-step explanation:

Taking equation (1)

Multiplying both sides by 2

Adding 6y to both sides

Putting this in (2)
5(18+6y) + y = 28
5(18+6y) + y = 28
90 + 30y+y = 28
31y+90-28 = 0
31 y + 62 = 0
31y = -62
Dividing both sides by 31
y = -2
Now,
x = 18 + 6y
x = 18+6(-2)
x = 18-12
x = 6
Answer:
M= -3
Step-by-step explanation:
The two points on the graph are (0,4) and(1,1), using the slope formula you get a slope of - 3