Answer:
Options B, D and E
Step-by-step explanation:
Given equation is,
-4x + 5y - 12 = 8
-4x + 5y = 20
If a point given in the options lie on the line, point will satisfy the equation.
Option A.
For a point (5, 0),
-4(5) + 5(0) = 20
-20 = 20
False
Therefore, (5, 0) will not lie on the given line.
Option B
For (-2, 2.4)
-4(-2) + 5(2.4) = 20
8 + 12 = 20
20 = 20
True.
Therefore, (-2, 2.4) will lie on the given line
Option C
For (8, 5),
-4(8) + 5(5) = 20
-32 + 25 = 20
-7 = 20
False
Therefore, (8, 5) will not lie on the line.
Option D
For (10, 12)
-4(10) + 5(12) = 20
-40 + 60 = 20
20 = 20
True.
Therefore, (10, 12) will lie on the line.
Option E
For (0, 4)
-4(0) + 5(4) = 20
20 = 20
True.
Therefore, (0, 4) will lie on the line.
Options B, D and E are correct.
Answer:
Greatest = 98,321
Least= 12,389
98,321>12,389
Step-by-step explanation:
there are only 5 digits. To get the greatest number, the digits with the most value should be put in front to ensure the great value.
To get the smallest number, the digits with the least value should be put in front.
The greater valued number is greater than the least valued number
Answer: The equation that has a graph which is a parabola with a vertex at (5, 3) would be y = (x – 5)^2 + 3. The general form of a parabola which the vertex is not in the origin is expressed as y = a(x - h)^2 + k where (h,k) represents the vertex.
Answer:
The average rate of change in the interval (3, 3.5) is -158.75
Step-by-step explanation:
We are given the following function in the question:

We have to find average rate of change over the interval:
x = 3 to x = 3.5
Average rate of change =

Thus, the average rate of change in the interval (3, 3.5) is -158.75