An hourglass is turned over with the top part filled with
sand. after 3 minutes, there are 855 ml of sand in the top half. after 10
minutes, there are 750 ml of sand in the top half. This can be represents a two
points ( 3, 855) and (10, 750) . using this to solve the slope m =
(750-855)/(10-3) = -15. And using one point the equation is y = -15x + 900.
The answer I believe is x/5+2=4
Ms. Cassidy instructed Miguel to change one sign of the graph of y < 2x – 4 so that point (2, 3) can be included in the solution set.
To check which of the given options might Miguel write we check the inequality that holds true for the point (2,3).Substituting x=2 ,y=3 we have:
1) y < 2x – 1
3<2(2)-1
3<3 Not True.
2)y ≤ 2x – 4
3≤ 2(2) -4
3≤ 0 .Not true.
3) y > 2x – 4
3> 2(2)-4
3> 0 True.
4) y < 2x + 4
3<2(2)+4
3<8 True
5) .y < 3.5x – 4
3< 3.5(2)-4
3<3 Not true
6) y < 4x – 4
3<4(2)-4
3<4 True.
Options 3 ,4 ,6 holds true for the point (2,3)
<span>The arcs must intersect because the point at which the arcs intersect forms the halfway point of the angle; if they don’t intersect, the angle will not be bisected. </span>
Answer:
The right answer is:
Option OB: f(1) = -9
Common difference: 7
Step-by-step explanation:
Given sequence is:
-9, -2, 5, 12,...
Here the first number is f(1)
Common Difference:
Common difference is the difference between consecutive terms of an arithmetic sequence. It is denoted by d.
In the given sequence,
f(1) = -9
f(2) = -2
f(3) = 5
Hence,
The right answer is:
Option OB: f(1) = -9
Common difference: 7
