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Alexus [3.1K]
3 years ago
12

Based on the graph, what is the initial value of the linear relationship?

Mathematics
1 answer:
agasfer [191]3 years ago
4 0

Check the picture below.

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The population at Bishop High School is 2000 students in 2011. Every year the population decreases by 50 students
Artemon [7]

Answer:

  • Let p be the population at t be the number of years since 2011.  Then, p=2000-50t
  • The projected population of the high school in 2015=1800
  • In <u>2019</u> the population be 1600 students

Step-by-step explanation:

Given: The population at Bishop High School students in 2011 =2000

Also,  Every year the population decreases by 50 students which implies the rate of decrease in population is constant.

So, the function is a linear function.

Let p be the population at t be the number of years since 2011.

Then, p=2000-50t

So at t=0, p=2000

In year 2015, t=4, substitute t=4 in the above equation ,we get

p=2000-50(4)\\\Rightarrow\ p=2000-200\\\Rightarrow\ p=1800

Hence, the projected population of the high school in 2015=1800

Now, put p=1600 in the function , we get

1600=2000-50t\\\Rightarrow50t=2000-1600\\\Rightarrow50t=400\\\Rightarrow\ t=\frac{400}{50}\\\Rightarrow\ t=8

Now, 2011+8=2019

Hence, in <u>2019</u> the population be 1600 students




6 0
3 years ago
Find the value of the variable and yz if y is between x and z Xy=6b yz=8b Xz=175
Anika [276]

The value of b is 12.5 and the value of YZ is 100

<h3>How to determine the variable and yz?</h3>

The given parameters are:

XY = 6b

YZ = 8b

XZ = 175

This means that

XZ = XY + YZ

So, we have:

6b + 8b = 175

Evaluate the sum

14b = 175

Divide by 14

b = 12.5

Substitute b = 12.5 in YZ = 8b

YZ = 8 * 12.5

Evaluate

YZ = 100

Hence, the value of b is 12.5 and the value of YZ is 100

Read more about lengths at:

brainly.com/question/24571594

#SPJ1

7 0
2 years ago
Una escuela compró varios ejemplares del libro A, que cuesta $200.00, y del libro B, que cuesta $150.00. Compró en total 120 lib
erma4kov [3.2K]

Responder:

Copias del libro A = 50

Copias del libro B = 70

Explicación paso a paso:

Costo por libros A = 200

Costo por libro B = 150

Sea el número de libros A = x

Número de libros B = y

Número total de libros comprados = 120

Costo total = 20,500

x + y = 120 - - - (1)

200x + 150y = 20500 - - - (2)

De 1)

x = 120 - y

Sustituya x = 120-y en (2)

200 (120 - años) + 150y = 20500

24000 - 200y + 150y = 20500

24000 - 50y = 20500

-50 años = 20500 - 24000

-50y = - 3500

y = 70

x = 120 - y

x = 120 - 70

x = 50

3 0
3 years ago
A rational function has x = - 4 as a vertical asymptote. What term appears in factored form in the denominator of the function?
pantera1 [17]

Answer:

A.x+4

Step-by-step explanation:

We are given that a rational function which has a vertical asymptote  at x=-4.

We have to find the term which appears in factored form in the denominator of the function.

We know that

To find the vertical asymptote of a rational function we will substitute the

denominator equal to zero.

Then, solve for x.

The value of x obtained are called vertical asymptotes.

By definition of vertical asymptote

x=-4

x+4=0

x+4 will be appears in factored form in the denominator of the function.

5 0
4 years ago
Is 592,682 greater than 591,683
MariettaO [177]

Answer:

yes

Step-by-step explanation:

8 0
3 years ago
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