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Alex73 [517]
3 years ago
8

What does the graph line look like with a slope of -2/3 passing through the point (-2,1)

Mathematics
1 answer:
ivolga24 [154]3 years ago
6 0
Slope is (change in y)/(change in x). If you have a slope of -2/3 the change in y is -2 and the change in x is 3. Find the point (-2, 1) on the xy plane. Change the y component by -2 (move down 2 grid lines) then change the x component by 3 (move to the right 3 grid lines). If you repeat this process in both directions then draw a line through the points you'll have a line with slope -2/3 which passes through the point (-2, 1). The equation of this line is: y=-2/3x-1/3
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The following function represents the profit P(n), in dollars, that a concert promoter makes by selling tickets for n dollars ea
Gre4nikov [31]
A) zeroes

P(n) = -250 n^2 + 2500n - 5250

Extract common factor:

P(n)= -250 (n^2 - 10n + 21)

Factor (find two numbers that sum -10 and its product is 21)

P(n) = -250(n - 3)(n - 7)

Zeroes ==> n - 3 = 0  or n -7 = 0
Then n = 3 and n = 7 are the zeros.

They rerpesent that if the promoter sells tickets at 3  or 7 dollars the profit is zero.

B) Maximum profit

Completion of squares

n^2 - 10n + 21 = n^2 - 10n + 25 - 4 = (n^2 - 10n+ 25) - 4 = (n - 5)^2 - 4

P(n) = - 250[(n-5)^2 -4] = -250(n-5)^2 + 1000

Maximum ==> - 250 (n - 5)^2 = 0 ==> n = 5 and P(5) = 1000

Maximum profit =1000 at n = 5

C) Axis of symmetry

Vertex = (h,k) when the equation is in the form A(n-h)^2 + k

Comparing A(n-h)^2 + k with - 250(n - 5)^2 + 1000

Vertex = (5, 1000) and the symmetry axis is n = 5.



8 0
3 years ago
Help answer ASAPPP 10 points
Musya8 [376]
Time:logs=time:logs
time/logs=time/logs

4hours:6logs=18hours:xlogs
4hours/6logs=18hours/xlogs
4/6=18/x
6/4=18/x
x=27

pick B,C,E
8 0
3 years ago
Read 2 more answers
If a flight departs fromPittsburgh at 7:55 a.m. andarrives in San Diego at9:20 a.m., how long isthe flight? Use the timezone map
Rudik [331]

If a flight departs from Pittsburgh at 7:55 a.m. and arrives in San Diego at 9:20 a.m.,

How long is the flight?

SOLUTION

9. 20 am - 7. 55 am = 1 hour 25 mins

3 0
11 months ago
What percent of 2358 is 90?<br> Step by step please
hoa [83]

Answer:

3.8%

Step-by-step explanation:

90/2358=0.038

7 0
3 years ago
Read 2 more answers
PLEASE HELP
mart [117]

Answer

y=9/3x

Step-by-step explanation:

8 0
3 years ago
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