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2 years ago

Math (10 points) please help

Mathematics

1 answer:

Valentin [98]2 years ago

7 0

Answer:

Part 1. 50 and 17 denotes that he earns $50 for each shift he works at the dinner and $17 for each dog-walking job.

Variable x denotes the number of shifts at the dinner and y variable denotes the number of dog -walking job.

Part 2. The income from shift of work at the diner that is 50x, and the income from dog walking work that is 17y.

Part 3. The total income from the diner is given by 50x.

Step-by-step explanation:

Each week, Aubrey earns $50 for every shift he works at the diner and $17 for every dog-walking job.

He uses the expression (50x + 17y) to keep track of his earning.

Part 1. Here the coefficient of the expressions 50 and 17 denotes that he earns $50 for each shift he works at the dinner and $17 for each dog-walking job.

And the variable x denotes the number of shifts at the dinner and y variable denotes the number of dog -walking jobs.

Part 2. Therefore, there are two terms in the expression, one is the income from the shift of work at the diner that is 50x and the other is the income from dog walking work that is 17y.

Part 3. The total income from the diner is given by 50x. (Answer)

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A culture started with 5000 bacteria after 5 hours it grew to 6500 bacteria predict how many bacteria will be present after 16 h

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Answer:

After 16 hours bacterial count will be 11600.

Step-by-step explanation:

Bacterial growth is always an exponential growth in a given culture.So the formula for the growth will be

Final counts of bacteria = Initial counts × $(rate of growth)^{time}$

Given from first part Initial counts = 5000

Final counts= 6500 and time of growth = 5 hours

Then we will get the value of rate of growth of bacteria from the bacteria

⇒ 6500 = 5000× $(rate)^{5}$

$(rate)^{5}= \frac{6500}{5000} = 1.3$

$Rate = \sqrt[5]{1.3} = 1.05$

Now again to get the value of bacteria after 16 hours

Final Count = 5000× $(1.05)^{16}$

= 5000×2.32

= 11600

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3 years ago

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2 years ago

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Write a polynomial that represents the area of the shaded region

marusya05 [52]

<h3>Answer: x^2-3x+36</h3>

=========================================

Explanation:

The larger rectangle has area of (x+1)(x+1) = x^2+2x+1 through the use of the FOIL rule or distribution

If you use distribution, then it might help to let y = x+1 so we'd have y(x+1) lead to xy+1y which becomes x(x+1)+1(x+1). From there it might be easier to see how to get x^2+2x+1 after everything distributes again and simplifies.

The smaller rectangle has area 5x-35 which is found by distributing 5(x-7)

To get the shaded area, we subtract the two rectangle areas found above

shaded area = (larger area) - (smaller area)

shaded area = (x^2+2x+1) - (5x - 35)

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3 years ago

Given that g(y) = y2 - 1, find g(a - 1).<br>Give your answer in its simplest form.

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Answer:

a^2 - 2a.

Step-by-step explanation:

Replace the y in g(y) by a - 1 and simplify.

g(a-1) = (a - 1)^2 - 1

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3 years ago

Growth or decay, and determine the percentage rate of increase or decrease.

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The expression y = 660(0.902)ˣ represents a decay , the rate of decrease is 9.8% .

In the question ,

it is given that ,

the the exponential function is y = 660(0.902)ˣ

we need to determine that , the equation represents a growth or decay .

0.902 is the variable that will determine a growth or decay .

Since, 0.902 is less than 1 , so it represents a decay function .

To find the rate we subtract 0.902 from 1

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Therefore , The expression y = 660(0.902)ˣ represents a decay , the rate of decrease is 9.8% .

The given question is incomplete , the complete question is

Identify if it's Growth or Decay , and determine the percentage rate of increase or decrease , the function is y = 660(0.902)ˣ ?

Learn more about Growth and Decay here

brainly.com/question/22392518

#SPJ1

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