Find the first rate of change...
(5-6)/(2-0)=(4-5)/(4-2)=(3-4)/6-4)=-1/2
So this equation has a constant velocity which means that it is linear and can be expressed as y=mx+b where m=slope=velocity and b=y-intercept, value of y when x=0...we saw earlier that the velocity or slope is -1/2 so:
y=-x/2+b, and we can use any point to solve for b, I'll use (6,3)
3=-6/3+b
3=-2+b
b=5
So the relationship if the function:
y=-x/2+5 or more neatly...
y=(10-x)/2
Y=17
y=18
y=19
hope this helps
You haven't included enough information for the question, but assuming that a and b are the same then a is 4 and b is 4
Answer:
x ≥ 7
Step-by-step explanation:
|x - 7| = x - 7
A. For each absolute, find the intervals
x - 7 ≥ 0 x - 7 < 0
x ≥ 7 x < 7
If x ≥ 7, |x - 7| = x - 7 > 0.
If x < 7, |x - 7| = x - 7 < 0. No solution.
B. Solve for x < 7
Rewrite |x - 7| = x - 7 as
+(x - 7) = x - 7
x - 7 = x - 7
-x + 14 = x
14 = 2x
x = 7
7 ≮7. No solution
C. Solve for x ≥ 7
Rewrite |x - 7| = x - 7 as
+(x - 7) = x - 7
x - 7 = x - 7
True for all x.
D. Merge overlapping intervals
No solution or x ≥ 7
⇒ x ≥ 7
The diagram below shows that the graphs of y = |x - 7| (blue) and of y = x - 7 (dashed red) coincide only when x ≥ 7.
9514 1404 393
Answer:
x = 40
Step-by-step explanation:
The angle bisector divides corresponding sides proportionally.
x/16 = 25/10
x = 16(25/10) . . . . . multiply by 16
x = 40