Answer:
The y-intercept for line MN is 2
The standard form of the equation is revealed as ⇒ x + y = 2
Step-by-step elucidation:
Coordinates marking the ends of line MN → M(-3, 5) and N(2, 0)
The slope of the line was computed as 
= 
= -1
For line MN which passes through (-3, 5) with a slope of -1, the equation formulated is given by
y - 5 = (-1)(x + 3)
This simplifies to
y - 5 = -x - 3
Thus resulting in
y = -x + 2
Here the equation appears in the y-intercept form of
y = mx + b
where m represents the slope of the line and b denotes the y-intercept
So, consequently, the y-intercept for line MN is 2
The equation generates in the standard form as
x + y = 2
[[TAG_59]][[TAG_60]][[TAG_61]]
Answer:
160/1001, 175/1001
Step-by-step explanation:
i) We calculate:
₈C₁ methods to select 1 new camera from a selection of 8
₆C₃ methods to select 3 refurbished cameras from a selection of 8
₁₄C₄ methods to select 4 cameras from the total of 14 cameras
The probability formula is:
P = ₈C₁ ₆C₃ / ₁₄C₄
P = 8×20 / 1001
P = 160 / 1001
P ≈ 0.160
ii) For at most one new camera, it means we want either one new camera or none at all. We've calculated the probability of selecting one new camera already. The probability of not selecting any new camera is equivalent to selecting 4 refurbished cameras:
P = ₆C₄ / ₁₄C₄
P = 15 / 1001
Therefore, the combined probability is:
P = 160/1001 + 15/1001
P = 175/1001
P ≈ 0.175
Answer:
B. (3, 0)
Step-by-step explanation:
The x-intercept signifies the location on the graph where it intersects the x-axis.
At the x-intercept, y=0 or f(x)=0.
Therefore, you need to examine the table for the instance where f(x)=0.
The value f(x)=0 is found at x=3 in the table.
We express this as an ordered pair.
Hence, the x-intercept is (3,0).
The right option is B.
