Formula: XM= x1+x2/2 YM: y1+y2/2
end point: (14,-7)
Answer:
5
Step-by-step explanation:
Answer:
1st picture: (0,4)
The lines intersect at point (0,4).
2nd picture: Graph D
2x ≥ y - 1
2x - 5y ≤ 10
Set these inequalities up in standard form.
y ≤ 2x + 1
-5y ≤ 10 - 2x → y ≥ -2 + 2/5x → y ≥ 2/5x - 2
When you divide by a negative number, you switch the inequality sign.
Now you have:
y ≤ 2x + 1
y ≥ 2/5x - 2
Looking at the graphs, you first want to find the lines that intersect the y-axis at (0, 1) and (0, -2).
In this case, it is all of them.
Next, you would look at the shaded regions.
The first inequality says the values are less than or equal to. So you look for a shaded region below a line. The second inequality says the values are greater than or equal to. So you look for a shaded region above a line.
That would mean Graph B or D.
Then you look at the specific lines. You can see that the lower line is y ≥ 2/5x - 2. You need a shaded region above this line. You can see the above line is y ≤ 2x + 1. You need a shaded region below this line. That is Graph D.
Answer:
x= 48
Step-by-step explanation:

Answer:
Option A is correct.
The function for the given graph is;

Step-by-step explanation:
An exponential function is in the form of
......[1] where a is the initial value and b≠ 0 , b >1 .
Given two points as shown in figure i.e,
let A = (0, 2) and B = (1,8)
Substitute these points in equation [1] we have;
For A = (0,2)
= a
⇒ a = 2
and
for B = (1, 8)

or

Substitute the value of a=2 in above equation to solve for b;
2b = 8
divide both sides by 2 we get;
b = 4
Then, the function for the graph is, y=