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3 years ago

Use the graph to the right to write an equation of the line.

Mathematics

1 answer:

Amanda [17]3 years ago

4 0

Answer:

Using the point (-2,-4) it would be:

y + 4 = 1/3(x + 2)

Using the point (4,-2) it would be:

y + 2 = 1/2 (x - 4)

Step-by-step explanation:

hope this helps :)

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Ticket sales for concert totaled $289,900.

lesya692 [45]

Answer:

5575 tickets sold

Step-by-step explanation:

Alright let say tickets will be variable that we need to find the tickets that were sold (t). So the tickets sales for a concert was totaled $289,900. Tickets costed $52 each. Then you divide both to get the amount.

$289,900 Divided by $52 = t

t = Tickets Sold

t = 5575 tickets sold

Hope this helps :)

4 0

2 years ago

One method of slowing the growth of an insect population without using pesticides is to introduce into the population a number o

Zielflug [23.3K]

To be clear, the given relation between time and female population is an integral:
 $t = \int { \frac{P+S}{P[(r - 1)P - S]} } \,
dP$

The problem says that r = 1.2 and S = 400, therefore substituting:
 $t = \int { \frac{P+400}{P[(1.2 - 1)P - 400]}
} \, dP$ 

= $
\int { \frac{P+400}{P(0.2P - 400)} } \, dP$

In order to evaluate this integral, we need to write this rational function in a simpler way:
 $\frac{P+400}{P(0.2P - 400)} = \frac{A}{P} +
\frac{B}{(0.2P - 400)}$ 

where we need to evaluate A and B. In order to do so, let's calculate the LCD:
 $\frac{P+400}{P(0.2P - 400)} = \frac{A(0.2P -
400)}{P(0.2P - 400)} + \frac{BP}{P(0.2P - 400)}$ 

the denominators cancel out and we get:
P + 400 = 0.2AP - 400A + BP
 = P(0.2A + B) - 400A

The two sides must be equal to each other, bringing the system:
 $\left \{ {{0.2A + B = 1} \atop {-400A =
400}} \right.$ 

Which can be easily solved:
 $\left \{ {{B=1.2} \atop {A=-1}} \right.$ 

Therefore, our integral can be written as:
 $t = \int { \frac{P+400}{P(0.2P - 400)} } \,
dP = \int {( \frac{-1}{P} + \frac{1.2}{0.2P-400} )} \, dP$ 
= $- \int { \frac{1}{P} \, dP +
1.2\int { \frac{1}{0.2P-400} } \, dP$ 
= $- \int { \frac{1}{P} \, dP +
6\int { \frac{0.2}{0.2P-400} } \, dP$ 
= - ln |P| + 6 ln |0.2P - 400| + C

Now, let’s evaluate C by considering that at t = 0 P = 10000:
0 = - ln |10000| + 6 ln |0.2(10000) - 400| + C
C = ln |10000| - 6 ln |1600|
C = ln (10⁴) - 6 ln (2⁶·5²)
C = 4 ln (10) - 36 ln (2) - 12 ln (5) 
 Therefore, the equation relating female population with time requested is:
t = - ln |P| + 6 ln |0.2P - 400| + 4 ln (10) - 36 ln (2) - 12 ln (5)

8 0

3 years ago

the point-slope form of a equation of the line that passes through (-4, -3) and (12, 1) is y-1= 1/4 (x - 12) What is the standar

Lynna [10]

x-4y=8

Hope this helps!

3 0

4 years ago

There are 20 pieces of fruit in a bowl and 7 of them

makkiz [27]

Answer: 35%

Step-by-step explanation:

3 0

3 years ago

Find the 11th term of the geometric sequence 6, -18, 54 AYUDEN CHUCHA

otez555 [7]

Step-by-step explanation:

T1=a

T2=ar

r=T2÷T1

r=--18÷6

r=-3

T11=ar^10

T11=6×-3^10

T11=-354294

8 0

4 years ago

Read 2 more answers