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Wittaler [7]
3 years ago
13

Producers will make 1000 refrigerators available when the unit price is $280.00. At a unit price of $400, 5000 refrigerators wil

l be marketed . Find the equation relating the unit price p of a refrigerator to the quantity supplied x if the equation is known to be linear.
p =

How many refrigerators will be marketed when the unit price is $440?______ refrigerators

What is the lowest price at which a refrigerator will be marketed? $_________ (lowest price)
Mathematics
1 answer:
Kobotan [32]3 years ago
6 0

Answer:

For linear equations we use:

p=mx+b   ------  (1)

Now we have the following coordinates:

(x1,p1)= (1000,280) and (x2, p2)=(5000,400)

First we need slope (m)

m= (400-280)/(5000-1000)

= 120/4000=0.03

Now we will plug the value of m in the first equation

280=0.03(1000)+b

=> 280=30+b

=> b = 250

Now plug into p=mx+b using only m=0.03 and b=250

p=0.03x+250

When the unit price is $440, we can plug in 440 in for p;

440=0.03x+250

=> 0.03x=440-250

=> 0.03x=190

=> x = 6333 refrigerators

The lowest price at which  a refrigerator will be marketed, we can find this by plugging x = 0 in p=mx+b.

p=0.03(0)+250

=> p = $250

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Sergeeva-Olga [200]

The tenth in 149.95 is 9. To round it to the nearest tenth, use the hundredth. The hundredth is 5. When rounding, always round up when it is a 5. 95 should be rounded to 100, but it is a decimal. 100 as a decimal is equal to 1. 149 + 1 = 150.

3 0
3 years ago
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Factor to find the zeros of the function defined by the quadratic expression. −7x2 − 91x − 280
Mariulka [41]
There are no zeroes for an expression, only for equations.
Assuming equation to be
<span>−7x^2 − 91x − 280=0
-7(x^2+13x+40)=0
-7(x+8)(x+5)=0
by the zero product properties, 
x+8=0 => x=-8
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3 0
3 years ago
A. Economic theory describes the relationship between inflation and unemployment as:
Ludmilka [50]

Answer:

1: The correction option is B) Negative

Explanation

In economic theory, the Philips curve depicts the relationship between unemployment and inflation as a negative one. In order words, when inflation goes up, unemployment reduces.

The logic behind that thinking is, that inflation, which is the general increase in prices of goods/commodities and services is good for business. Business owners are quick to adjust to higher prices regardless of how it is induced and sometimes even profit from it in sectors not affected by inflation. So in such sectors, as business improves,  it is assumed that there is a requirement to being in more hands to help with the expansion of the business.

2. The correct option is B) Holds for certain time periods

Explanation

Social scientists and researchers have plotted the data across various periods (20 years) using data from the US economy.

The following results emerged:

  • the traditional relationship between inflation and unemployment held in 2001 during the mild recession triggered by the 9/11 situation. Unemployment took an upward spiral averaging an increase of 6% while inflation nosedived by 2.5%;
  • Another snapshot was taken in the mid-2000s. This time unemployment went belly-up by several degrees, while inflation took off in the opposite direction by almost 5% before receding in 2006 when unemployment bottomed;
  • In another analysis, the consumer price index took a steep downward dive during the Great Recession. This time, unemployment took a bullish charge, going up as much as 10%
  • This negative relationship failed to hold between 2012 to 2015. Both factors developed a positive relationship and moved in the same direction;
  • There has also been a loss of strength in the negative relationship as also seen in recent times. Specifically, between 2016 to 2019 where unemployment has steadily receded to 50-year lows, with inflation remained steady at an average of 2%.  

So the correct answer is B.

3. The correct answer is True:

Explanation

As seen from the analysis above, the negative relationship remains largely true for most of the periods examined. Hence it is more pragmatic to expect a dip in unemployment whenever there is a spike in the CPI.

Cheers

6 0
3 years ago
Which expression shows the perimeter of the triangle in simplest form?
ankoles [38]

Answer:

D. 6x + 3

Step-by-step explanation:

A perimeter is just the sum of all sides of a shape.

First, write an equation to add all sides of the triangle:

(x + 4) + (3x - 2) + (2x + 1)

What is inside the parentheses is all already simplified. Also, it is addition, so the order in which we add does not matter. So, we can now get rid of the parentheses and combine like terms:

x + 3x + 2x + 4 -2 + 1

6x + 3

And that's our final answer: 6x + 3

I would appreciate brainliest, have an amazing day!

7 0
2 years ago
A telephone pole is 24 feet tall. Curtis, who is standing some distance away from the telephone pole measures the angle of eleva
taurus [48]

The distance from the base of the telephone pole to Curtis is about 15 feet.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more number and variables.

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let d represent the distance from the base of the telephone pole to Curtis, hence:

tan(51.4) = (24 - 5.2) / d

d = 15 feet

The distance from the base of the telephone pole to Curtis is about 15 feet.

Find out more on equation at: brainly.com/question/2972832

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4 0
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