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VLD [36.1K]
3 years ago
10

How do you solve these equations?

Mathematics
1 answer:
S_A_V [24]3 years ago
8 0
All you do is times each side by 5 and then divide by 3 and you should get your answer.
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Based on the results from part C, which two statements correctly interpret actions the business should take? If material 2 is us
Serjik [45]

The profit function is the difference between the cost and the revenue functions.

The true statement is (a) If material 2 is used, Carrie will earn a profit if she sells chairs for more than $150 each.

<h3>How to determine the true profit functions</h3>

From the complete questions, the profit functions are calculated as follows:

<u>Material 1</u>

P(x) = 5000000- 20000x - 200000x + 2000x^2

P(x) = 5000000-220000x + 2000x^2

<u>Material 2</u>

P(x) = 4000000 - 10000x - 160000x+ 1000x^2

P(x) = 4000000-170000x+ 1000x^2

<u>Material 3</u>

P(x) = 2000000 - 5000x - 54000x - 270x^2

P(x) = 2000000 -59000x - 270x^2

Next, we test the options

Option 1: When material 2 is used

A price is greater than $150 is $151.

Calculate P(151) using P(x) = 4000000-170000x+ 1000x^2

So, we have:

P(151) = 4000000-170000 * 151+ 1000* 151^2

P(151) = 1131000

P(151) is greater than 0; this represents a profit

Hence, option (1) is true

Option 2: When material 1 is used

A price is less than $50 is $49.

Calculate P(49) using P(x) = 5000000-220000x + 2000x^2

So, we have:

P(49) = 5000000-220000 * 49 + 2000* 49^2

P(49) =-978000

P(49) is less than 0; this represents loss

Hence, option (2) is false

Option 3: When material 3 is used

Calculate P(45) and P(160) using P(x) = 2000000 -59000x - 270x^2

So, we have:

P(45) = 2000000 -59000 * 45 - 270 * 45^2

P(45) = -1201750

P(45) is less than 0; this represents loss

Hence, option (3) is false

Option 1: When material 2 is used

Calculate P(30) and P(120) using P(x) = 4000000-170000x+ 1000x^2

So, we have:

P(30) = 4000000-170000*30+ 1000*30^2

P(30) = -200000

P(30) is less than 0; this represents a loss

Hence, option (4) is false

Option 2: When material 1 is used

Calculate P(40) and P(70) using P(x) = 5000000-220000x + 2000x^2

So, we have:

P(40) = 5000000-220000*40 + 2000*40^2

P(40) = -600000

P(49) is less than 0; this represents loss

Hence, option (5) is false

The above means that:

The true statement is (a) If material 2 is used, Carrie will earn a profit if she sells chairs for more than $150 each.

Read more about revenue functions at:

brainly.com/question/25638609

6 0
2 years ago
What is the slope of the function​
guajiro [1.7K]

Answer:

-2/2

Step-by-step explanation:

function calculator

8 0
2 years ago
A 210-N mass is suspended from a horizontal beam by two cables that make angles of 29 degrees and 53 degrees with the beam. Find
natta225 [31]

The tension in the cable is given by the newton's first law will be 163.622 N.

<h3>What is newton's first law?</h3>

The summation of the force is equal to zero.

The formula is given as

ΣF = 0

Where m is the mass of the body and a is the acceleration.

A 210-N mass is suspended from a horizontal beam by two cables that make angles of 29 degrees and 53 degrees with the beam.

Then the tension in the cable will be

Let T be the tension in the cable.

T sin 29° + T sin 53° – 210 = 0

On simplifying, we have

T (sin 29° + sin 53°) = 210

                             T = 163.622 N

More about the newton's first law link is given below.

brainly.com/question/974124

#SPJ1

6 0
2 years ago
Find the perimeter of a rectangle whose length is 4 cm greater than its height, and whose area is 60 cm².
STatiana [176]

The perimeter is 32 cm.

The length is 10, and the width is 6. (10x2) + (6x2) = 32

8 0
3 years ago
Get this correct i will give u brainliest.
castortr0y [4]

Answer:

x = - 2, y = - 8

Step-by-step explanation:

Given the 2 equations

13x - 6y = 22 → (1)

x = y + 6 → (2)

Substitute x = y + 6 into (1)

13(y + 6) - 6y = 22 ← distribute and simplify left side

13y + 78 - 6y = 22

7y + 78 = 22 ( subtract 78 from both sides )

7y = - 56 ( divide both sides by 7 )

y = - 8

Substitute y = - 8 into (2) and evaluate for x

x = - 8 + 6 = - 2

Thus x = - 2, y = - 8

4 0
3 years ago
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