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miss Akunina [59]
3 years ago
8

There is actually 2 questions

Mathematics
1 answer:
Zanzabum3 years ago
6 0

Answer:

not  sure but i need points

Step-by-step explanation:

You might be interested in
I need help with letters (D) and (E). My model equation from letter (C) is: P = -55/4 t+ 340.
IceJOKER [234]

Answer:

(a) The two ordered pairs are (0 , 340) and (4 , 285)

(b) The slope is m = -55/4

The slope means the rate of decreases of the owl population was 55/4

per year (P decreased by 55/4 each year)

(c) The model equation is P = -55/4 t + 340

(d) The owl population in 2022 will be 216

(e)  At year 2038 will be no more owl in the park

Step-by-step explanation:

* Lets explain how to solve the problem

- The owl population in 2013 was measured to be 340

- In 2017 the owl population was measured again to be 285

- The owl population is P and the time is t where t measure the numbers

 of years since 2013

(a) Let t represented by the x-coordinates of the order pairs and P

   represented by the y-coordinates of the order pairs

∵ t is measured since 2013

∴ At 2013 ⇒ t = 0

∵ The population P in 2013 was 340

∴ The first order pair is (0 , 340)

∵ The time from 2013 to 2013 = 2017 - 2013 = 4 years

∴ At 2017 ⇒ t = 4

∵ The population at 2017 is 285

∴ The second order pair is (4 , 285)

* The two ordered pairs are (0 , 340) and (4 , 285)

(b) The slope of any lines whose endpoints are (x1 , y1) and (x2 , y2)

     is m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

∵ (x1 , y1) is (0 , 340) and (x2 , y2) is (4 , 285)

∴ x1 = 0 , x2 = 4 and y1 = 340 , y2 = 285

∴ m = \frac{285-340}{4-0}=\frac{-55}{4}

* The slope is m = -55/4

∵ The slope is negative value

∴ The relation is decreasing

* The slope means the rate of decreases of the owl population was

  55/4 per year (<em>P decreased by 55/4 each year</em>)

(c) The linear equation form is y = mx + c, where m is the slope and c is

    the value of y when x = 0

∵ The population is P and represented by y

∵ The time is t and represented by t

∴ P = mt + c , c is the initial amount of population

∵ m = -55/4

∵ The initial amount of the population is 340

∴ P = -55/4 t + 340

* The model equation is P = -55/4 t + 340

(d) Lets calculate the time from 2013 to 2022

∵ t = 2022 - 2013 = 9 years

∵ P = -55/4 t + 340

∴ P = -55/4 (9) + 340 = 216.25 ≅ 216

* The owl population in 2022 will be 216

(e) If the model is accurate , then the owl population be be zero after

    t years

∵ P = -55/4 t + 340

∵ P = 0

∴ 0 = -55/4 t + 340

- Add 55/4 t to both sides

∴ 55/4 t = 340

- Multiply both sides by 4

∴ 55 t = 1360

- Divide both sides by 55

∴ t = 24.7 ≅ 25 years

- To find the year add 25 years to 2013

∵ 2013 + 25 = 2038

* At year 2038 will be no more owl in the park

8 0
3 years ago
$4.30 40% discount 6% tax
alex41 [277]
The total would be $2.73.
7 0
3 years ago
Read 2 more answers
Explain how to estimate 498÷12
PSYCHO15rus [73]
498 is approximately 500

12 is approximately 10



500/10 = 50



So, 498/12 is approximately 50.
8 0
3 years ago
Read 2 more answers
A store sells packages of comic books with a poster. A poster and 5 comics cost ​$15.75 A poster and 11 comics cost ​$27.75 Writ
Vanyuwa [196]

Answer:

y=x+5.99

Step-by-step explanation:

A poster and 2 comics cost ​$7.99

(2,7.99)

A poster and 11 comics cost ​$16.99.

(11,16.99)

Let y be the cost of package and x be the no. of comics

We will use two point slope form :

(x1,y1) = (2,7.99)

(x2,y2) = (11,16.99)

Formula :

y-y1 = y2-y1/x2-x1(x-x1)

Substitute the values:

Hence a linear function rule that models the cost y of a package containing any number x of comic books is y=x+5.99

8 0
3 years ago
X2 + 45x = -200 Using the quadratic formual and the discirimnat
dybincka [34]

Answer:

Positive discriminant = 2 real solution

x= -5,-40

Step-by-step explanation:

The discriminant is used to see how many solutions an equation has. If it is negative, the equation has no real solutions, if =0 the equation has 1, and if it is positive, the equation has two real solutions.

The discriminant is the part of the quadratic formula inside the square root:

b^{2}-4ac

Every quadratic formula has the structure:

ax^{2} +bx+c=0

So first, in order to meet this structure we need to add 200 to both sides so the equation is equal to 0. This gives us:

x^{2} +45x+200=0

Our a=1, b=45 and c=200

Now we can substitute these values into the discriminant:

(45)^{2} -4(1)(200)

Solve:

2025-800=1225

The discriminant is a positive number which means this equation will have 2 real solution. Now we just need to plug in our values into the quadratic formula to solve this equation. Quadratic formula:

x=\frac{-+/-\sqrt{b^{2}-4ac} }{2a} \\x=\frac{-45+/-\sqrt{1225} }{2}

(Same discriminant value)

x=\frac{-45+/-35}{2}

Now to find the two solutions, we use both signs in the equation. Solution 1:

x=\frac{-45+35}{2}

x=\frac{-10}{2}=-5

Our first solution is -5, now for the second:

x=\frac{-45-35}{2}\\\\ x=\frac{-80}{2}=-40

The two solution to this equation are -5 and -40.

Hope this helped!

7 0
3 years ago
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