Step-by-step explanation:
the delimiter line is going through the points (-4, 0) and (0, -4).
the line function
y = mx + b
m is the slope of the line, b is the y-intercept (the y value when x = 0).
the slope is the ratio of "y coordinate change / x coordinate change" when going from one point to another.
so, for the 2 found points :
x changes by +4 (from -4 to 0)
y changes by -4 (from 0 to -4).
the slope m is then
-4/+4 = -1
and the y-intercept is -4 (as explained).
so, the line is
y = -x - 4
and the graphic says that all values greater than our equal to the line values are valid, so
y >= -x - 4
Answer:
9
Step-by-step explanation:
3² = 3 x 3 = 9
So, after one year will will have the new population of 23 000 * (100 %+2%)
(the 100 % is the old population and the 2% is the increase), that is:
23000*1.02=23460
(102 % can be represented as 1.02)
And for the next years, we have to repeat the procedure.
a more generic rule would be:
y=23000*

(x is the number of years passed)
Answer:
M = 20(2) + 3(2) = $46
Step-by-step explanation:
Here, we want to write an equation that could be used to find the amount of money spent
The rental charges $20 for a day and $3 for an hour
For 2 days, amount is 2 * 20 = $40
for 2 hours , amount is 3 * 2 = $6 hours
The amount Spent M will be;
M = 20(2) + 3(2) = $46
Answer:
(6.8, 1.3)
Step-by-step explanation:
<u>Given</u>:
A(-3, -5), B(11, 4)
<u>Find</u>:
P such that AP/AB = 7/10
<u>Solution</u>:
Using the desired relation, we have ...
(P -A)/(B -A) = 7/10
10(P -A) = 7(B -A) . . . . . multiply by 10(B-A)
10P = 7B +3A . . . . . . . . add 10A to both sides
10P = 7(11, 4) +3(-3, -5) = (77 -9, 28 -15) = (68, 13)
P = (68, 13)/10 = (6.8, 1.3)
The point 7/10 of the way from A to B is (6.8, 1.3).