Answer:
Step-by-step explanation:
The constant of proportionality is the slope of the line joining the two points
(70,40) and (49,28).
Recall the slope formula:
We substitute the point to get:
<u>Alternatively</u>:
A proportional relation is given by
where k is the constant of proportionality.
Using any point, we substitute and solve for k.
Answer:
Step-by-step explanation:
12. 15 (3x5x1)
13. 8 (4x2x1)
14. 18 (6x3x1)
The <em><u>correct answer</u></em> is:
bx + 3y > 6 and y > 2x + 4
Explanation:
Looking at the second inequality, the y-intercept is 4 and the slope is 2. This means the graph of the line crosses the y-axis at (0, 4) and the line goes up 2 and over 1. Since it is greater than, this means the graph is shaded above it. Comparing this to the graph, the line for the blue part crosses the y-axis at (0, 4) and goes up 2 and over 1. The graph is also shaded above the line.
For the first inequality, bx+3y > 6, we want to isolate y. To do this, we subtract bx from each side:
bx+3y-bx > 6-bx
3y > 6-bx
Divide both sides by 3:
3y/3 > 6/3 - bx/3
y > 2 - (b/3)x
This means the line for this will have a y-intercept of 2 and decrease 1 while going over 3. The orange section does this. Additionally, since it is greater than, the graph should be shaded above the line. This one is, so this is the correct answer.
Answer:
1080
___ rode a plane for 5^2 miles on a flight to ___. She then took a flight to ___ which was 5^4 miles. How much further did she fly on the second flight?
you can decide where she went and what her name was.
Step-by-step explanation:
6^3 = 213
6^4 = 1296
1296 - 216 = 1080
