Consider the relation
y = -3x + 5

Which of the following statements about the graph of this relation is NOT true

a) the slope is 3.

b) the y-intercept is 5.

c) for a rise of 3, the run is -1.

d) the graph crosses the y- axis at (0,5).

a) the slope is 3.

Step-by-step explanation:

The equation    is written in slope-intercept form, , where m is the slope and b is the y-intercept:

Using this information, we can see that option a is not true. The slope is '-3' , not '3'. The other options are true because:

b.) the y-intercept is 5

c.) for a rise of 3, the run is -1

in a term, c would be    which, when simplified, is equal to -3. The rise and run refers to the slope as well:  

d.) the graph crosses the y-axis at (0,5).

When is says "crosses the y-axis", it refers to the y-intercept. The y-intercept  is where a point sits on the y-axis when x is equal to zero. In (0,5), since x is 0 and y is 5, the statement is true.

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.