Ask question

Ask question

All categories

vampirchik [111]

2 years ago

5

The newspaper in Haventown had a circulation of 80,000 papers in the year 2000. In 2010, the circulation was 50,000. With x = 0

representing the year 2000, the graph below models this scenario.
What number will complete the point-slope equation that models this scenario?

y 50,000 = (x 10)

2 answers:

mixas84 [53]2 years ago

7 0

-3000 is correct
Hope this helps :D

Alik [6]2 years ago

4 0

Answer:

-3000

Explanation:

The missing number is the slope of the line.

To calculate the slope, we use the formula

$m=\frac{y_2-y_1}{x_2-x_1}$

Using the points (0, 80000) and (10, 50000) [<em>remember</em>, the year 2000 is at x = 0; this means the year 2010 would be at x=10] we have:

m = (50000-80000)/(10-0) = -30000/10 = -3000

The missing number, the slope, is -3000.

You might be interested in

To order the right amount of flooring, you need to know the floor area of the living room shown below. What is that area, in squ

olya-2409 [2.1K]

To find the area of a space, you have to multiply length by width.

18 x 10 = 180

6 0

2 years ago

Read 2 more answers

Milton spilled some ink on his homework paper. He can't read the coefficient of $x$, but he knows that the equation has two dist

Lera25 [3.4K]

Answer:

$Sum = -81$

Step-by-step explanation:

See the comment for complete question.

Given

$c = 36$ ----- Constant

No coefficient of x^2

Required:

Determine the sum of all distinct positive integers of the coefficient of x

Reading through the complete question, we can see that the question has 3 terms which are:

x^2 ---- with no coefficient

x ---- with an unknown coefficient

36 ---- constant

So, the equation can be represented as:

$x^2 + ax + 36 = 0$

Where a is the unknown coefficient

From the question, we understand that the equation has two negative integer solution. This can be represented as:

$x = -\alpha$ and $x = -\beta$

Using the above roots, the equation can be represented as:

$(x + \alpha)(x + \beta) = 0$

Open brackets

$x^2 + (\alpha + \beta)x + \alpha \beta = 0$

To compare the above equation to $x^2 + ax + 36 = 0$ , we have:

$a = \alpha + \beta$

$\alpha \beta = 36$

Where: $\alpha, \beta$ and $\alpha \ne \beta$

The values of $\alpha$ and $\beta$ that satisfy $\alpha \beta = 36$ are:

$\alpha = -1$ and $\beta = -36$

$\alpha = -2$ and $\beta = -18$

$\alpha = -3$ and $\beta = -12$

$\alpha = -4$ and $\beta = -9$

So, the possible values of a are:

$a = \alpha + \beta$

When $\alpha = -1$ and $\beta = -36$

$a = -1 - 36 = -37$

When $\alpha = -2$ and $\beta = -18$

$a = -2 - 18 = -20$

When $\alpha = -3$ and $\beta = -12$

$a = -3 - 12 = -15$

When $\alpha = -4$ and $\beta = -9$

$a = -4 - 9 = -13$

At this point, we have established that the possible values of a are: -37, -20, -15 and -9.

The required sum is:

$Sum = -37 -20 -15 - 9$

$Sum = -81$

7 0

2 years ago

Which expression is equivalent to [4mn/m⁻2n⁻6}⁻2? Assume m and n do not equal zero

leva [86]

The answer would be {(n^5)^2}/{(4*m^3)^2} = { n^{10} }/{16*m^6}

8 0

2 years ago

Read 2 more answers

A machine takes 5.4 hours to make 9 parts. At that rate how many parts can the machine make in 25.8 hours

Sliva [168]

$\frac{5.4}{9} = \frac{25.8}{x}$ Cross multiply.

5.4x=9*25.8

5.4x=232.2 Divide both sides by 5.4

x=43

4 0

2 years ago

Read 2 more answers

A bowl of flower seeds contains 5 petunia seeds and 15 begonia seeds. Riley calculated the probability that a random selected se

Vlad1618 [11]

Answer:

Riley divided the number of petunia seeds by the number of begonia seeds, getting $\frac {5}{15} = \frac {1}{3}$ . What you actually need to do to calculate the probability of selecting a petunia seed is divide the number of petunia seeds by the <em>total</em> number of seeds. 5 petunia seeds and 15 begonia seeds makes 20 total seeds, so you divide 5 petunia seeds by 20 total seeds to get $\frac {5}{20} = \frac {1}{4}$ .

7 0

2 years ago