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2 years ago

Compare the two functions described below.

1 answer:

8 0

Function 1 is modeled by the equation:
y = 40 + 3x
where x is the number of days and y is the city's population or amount of people living in the city.
This is a linear equation because all of the terms have exponent 1.

Function 2 is a non-linear equation. Specifically, it is an example of an exponential equation because its variable x is found in the exponent.

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Marie bought 1/2 gallon of milk, which she finished after 6 days. If she drank the same amount of milk each day, how many gallon

Rama09 [41]

Gallons per day.......gallons / day.....so u put the gallons over the number of days, then divide

(1/2) / 6 = 1/2 * 1/6 = 1/12 of a gallon per day <==

3 0

2 years ago

Read 2 more answers

A test is conducted to compare the tread wear of certain type of tires on highways paved with asphalt and highways paved with co

zimovet [89]

Answer:

Yes it does

Step-by-step explanation:

We can use two sample t-test to draw the conclusuion. However, by looking at the information of mileage of tyres on asphalt and concrete-paved highways, we can say that since mean milege of tyres on concrete is lesser, tyres wear faster on concrete-paved highways.

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2 years ago

walnut grower estimates from past records that if 20 trees are planted per acre, then each tree will average 60 pounds of nuts p

laila [671]

Answer:

5 trees should be planted to maximize the yield per acre,

The maximum yield would be 1250

Step-by-step explanation:

Given,

The original number of trees per acre = 20,

Average pounds of nuts by a tree = 60,

Let x be the times of increment in number of trees,

So, the new number of trees planted per acre = 20 + x

∵ for each additional tree planted per acre, the average yield per tree drops 2 pounds,

So, the new number of pounds of nut = (60 - 2x)

Thus, the total yield per acre,

$Y(x) = (20+x)(60-2x)$

Differentiating with respect to t ( time ),

$Y'(x) = (20+x)(-2) + 60 - 2x = -40 - 2x + 60 - 2x = 20 - 4x$

Again differentiating with respect to t,

$Y''(x) = -4$

For maxima or minima,

$Y'(x) = 0$

⇒ 20 - 4x = 0

⇒ 20 = 4x

⇒ x = 5,

For x = 5, Y''(x) = negative,

Hence, Y(x) is maximum for x = 5,

And, maximum value of Y(x) = (20+5)(60 - 10) = 25(50) = 1250,

i.e. 5 trees should be planted to maximize the yield per acre,

and the maximum yield would be 1250 pounds

4 0

2 years ago

Vijay has an annual salary of 47,000, and his company pays him twice a month. What is the gross income in each paycheck that Vij

leonid [27]

Alright, so he has an <em>annual </em>salary of 47,000 dollars. Which means that he is paid 47,000 dollars in 12 months. You'll first have to calculate the pay Vijay receives <em>each month</em>, which is $\frac{47,000}{12 months}$ , or about $3,916.67 (I'll round up to 3917 for simplicity).

Now, he gets paid twice a month. So each paycheck is half of $3917. 3917 x (1/2) = $1958.50.

So each paycheck should be $1958.50 (this is a rounded figure).

6 0

1 year ago

For every 6kg a child's weight, pediatricians prescribe 17mg of acetaminophen. If Lexie weighs 48 kg, how many milligrams of the

Finger [1]

The answer will be 136mg
48/6=8
8*17=136mg

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2 years ago