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sleet_krkn [62]
3 years ago
7

The polynomial -2x^2+500x represents the budget surplus of the town of alphaville. Betaville's surplus is represented by x^2-100

x+10,000. If x represents the tax revenue in thousands from both towns, which expression represents the total surplus of both towns together?
Mathematics
1 answer:
lozanna [386]3 years ago
8 0

Answer:

The answer to your question is:   Total surplus = - x² + 400 x + 10,000

Step-by-step explanation:

Data

Alphaville       - 2x² + 500 x

Betaville         x² - 100 x + 10,000

Surplus of both towns = ?

Process

Add the surplus of both towns

Total surplus = Alphaville surplus + Betaville surplus

Total surplus =   - 2x² + 500 x +  x² - 100 x + 10,000

Total surplus = - x² + 400 x + 10,000

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A. A fair 6-face die will be rolled some number of times, and you win if it shows an ace (one spot) 20% or more of the time. Oth
butalik [34]

Answer: The complete question is found in the attachment

Step-by-step explanation:

Law of large numbers: The probability of occurrence of an event becomes closer to the theoretical probability as the number of trials increases

P(an ace) = 1/6

= 0.1667

= 16.67%

a) In 600 rolls, the value will be close to 16.67. compared to 60 rolls

Greater than 20% interval doesn't include 16.67%. So, for more than 20% ace, 60 rolls is better.

b) More than 15% interval includes 16.67. So, it is better to roll 600 times

c) The interval between 15% and 20% include 16.67% and hence, 600 rolls is better

d) Larger number of trials is better to get exactly 16

So, 600 rolls is better

4 0
3 years ago
LCM of 16, 28, and 56
Sindrei [870]

Answer:

2

Step-by-step explanation:

2x8=16, 2x14=28, and 2x28=56

6 0
3 years ago
PLZ HELP THANKS! Find the equation of the line passing through the pair points (-8,6) (-9,-9). The equation of the line in the f
timurjin [86]

Answer:

The answer is

<h2>15x - y = - 126</h2>

Step-by-step explanation:

To find the equation of the line we must first find the slope (m)

m =  \frac{y2 - y1 }{x2 - x1}

So the slope of the line using points

(-8,6) (-9,-9) is

m =  \frac{ - 9 - 6}{ - 9 + 8}  =  \frac{ - 15}{ - 1}  = 15

So the equation of the line using point (-8,6) and slope 15 is

y - 6 = 15( x + 8)

y - 6 = 15x + 120

Writing the equation in the form

Ax+By=C

We have

15x - y = -120-6

The final answer is

<h3>15x - y = - 126</h3>

Hope this helps you

8 0
3 years ago
Evaluate each expression when s=9 and t=12<br><br> 1. 3(3t + s) <br><br> 2. 2s - t
kvasek [131]

1.) 3 (3t + s)

distribute

9t + 3s

plug in the variables

9 ( 12 ) + 3 ( 9 )

108 + 27

135

2.) 2s - t

plug in the variables

2 ( 9 ) - 12

18 - 12

6

I hope this helped and i sincerely hope that this was the brainliest answer!

have a nice day

5 0
3 years ago
Factor this trinomial completely.
WITCHER [35]

Answer:

Option C. (2x+3)(6x – 5) is the correct answer.

Step-by-step explanation:

Given polynomial(trinomial) is:

12x^2 + 8x - 15

The given trinomial is quadratic. Factorization will be as follows:

Multiplying the co-efficient of x^2 and the constant results in 180. We have to make factors of 180 in such a way that their sum of difference is equal to the co-efficient of x.

The required factors are 18 and 10

So,

=12x^2+18x-10x-15\\=6x(2x+3)-5(2x+3)\\= (6x-5)(2x+3)

Hence,

Option C. (2x+3)(6x – 5) is the correct answer.

8 0
3 years ago
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