Noah has a summer tree-trimming business. Based on experience, Noah knows that his profit, P, in dollars, can be modelled by = −3x^2 + 150 − 1200, where x is the amount he charges per tree.

1. How much does he need to charge if he wants to break even?
2. How much does he need to charge if he wants to make a profit of $600?

Answers

Answer 1

He need to charge 24$ per tree if he wants to make a profit of $600.

According to statement

Noah knows that his profit, P, in dollars, are P= −3x^2 + 150 − 1200.

Now, we find the value of x when the profit is $600

Where X represent the Amount he charges per tree.

The given equation is P= −3x^2 + 150 − 1200.

Substitute the value of p is $600 in the above written equation

Then

600 = −3x^2 + 150 − 1200.

After solving the equation by a substitution method the value of X becomes

600+1200-150 = -3(x)^2

x = (1650/3)^1/2

x= 24$

it means the charge per tree is 24$.

So, He need to charge 24$ per tree if he wants to make a profit of $600.

Learn more about SUBSTITUTION METHOD here https://brainly.com/question/22340165

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Related Questions


A rectangle is 2 feet wide and 4 feet long. A second rectangle is created by increasing the length and width of the first by a scale factor of
2.5. What is the area, in square feet, of the second rectangle?

Answers

Answer:

B

Step-by-step explanation:

Does stencil two overlap exactly with the original image? Describe what you see. After the transformations are complete, what can you say about the points that make up stencil one and the points that make up the original image ? Explain

Answers

Answer:

No, stencil two does not overlap the original pattern exactly. Not all the points on stencil two coincide with the points on the original pattern. There is a subtle difference near the boundaries of the two shapes.

Step-by-step explanation:

Pls, answer fast with an explanation. At a carnival, it costs $138.00 for 92 tickets. Write an equation that can be used to find the total cost (c) for any number of tickets (t) you buy.

Answers

92 tickets = $138
138/92 = 1.5
1 ticket = $1.50
1.5t = c

Some steps are on paper

Please help quick will give brainliest!

Answers

Answer:

The statement that correctly uses limits to determine the end behavior of f(x) is;

[tex]\lim\limits_{x \to \pm \infty} \dfrac{7 \cdot x^2+ x + 1}{x^4 + 1}= \lim\limits_{x \to \pm \infty} \dfrac{7 }{x^2 }[/tex] so the end behavior of the function is that as x → ±∞, f(x) → 0

Step-by-step explanation:

The given function is presented here as follows;

[tex]f(x) = \dfrac{7 \cdot x^2+ x + 1}{x^4 + 1}[/tex]

The limit of the function is presented as follows;

[tex]\lim\limits_{x \to \pm \infty} \dfrac{7 \cdot x^2+ x + 1}{x^4 + 1}[/tex]

Dividing the terms by x², we have;

[tex]\lim\limits_{x \to \pm \infty} \dfrac{\dfrac{7 \cdot x^2}{x^2} + \dfrac{x}{x^2} + \dfrac{1}{x^2} }{\dfrac{x^4}{x^2} +\dfrac{1}{x^2} }= \lim\limits_{x \to \pm \infty} \dfrac{7 + \dfrac{1}{x} + \dfrac{1}{x^2} }{x^2 +\dfrac{1}{x^2} }[/tex]

As 'x' tends to ±∞, we have;

[tex]\lim\limits_{x \to \pm \infty} \dfrac{7 + \dfrac{1}{x} + \dfrac{1}{x^2} }{x^2 +\dfrac{1}{x^2} } = \lim\limits_{x \to \pm \infty} \dfrac{7 + 0 + 0 }{x^2 +0 } = \lim\limits_{x \to \pm \infty} \dfrac{7 }{x^2 }[/tex]

However, we have that the end behavior of 7/x² as 'x' tends to ±∞ is 7/x² tends to 0;

Therefore, we have;

[tex]f(x) \rightarrow 0 \ as \lim\limits_{x \to \pm \infty} \dfrac{7 }{x^2 }[/tex]

The statement that correctly uses limits to determine the end behavior of f(x) is therefor given as follows;

[tex]\lim\limits_{x \to \pm \infty} \dfrac{7 \cdot x^2+ x + 1}{x^4 + 1}= \lim\limits_{x \to \pm \infty} \dfrac{7 }{x^2 }[/tex] so the end behavior of the function is that as x → ±∞, f(x) → 0.

f(x)= 2x+3/x-1, x ≠ 1, dan f^-1 adalah invers dari f
tentukan :
A. infers fungsi F
B. Nilai dari f^-1 (-3)​​

Answers

Answer:

The answer are

A.

[tex] {f}^{ - 1} (x) = \frac{x + 3}{x - 2} [/tex]

B.

[tex] {f}^{ - 1} ( - 3) = 0[/tex]

Step-by-step explanation:

To find the infers we do that

[tex]f(x) = \frac{2 x + 3}{x - 1 } \\ (x - 1)f(x) = 2x + 3 \\ xf(x) - f(x) = 2x + 3 \\ xf(x) - 2x = f(x) + 3 \\ x(f(x) - 2) = f(x) + 3 \\ x = \frac{f(x) + 3}{f(x) - 2} \\ then \: \\ {f}^{ - 1} (x) = \frac{x + 3}{x - 2} \\ then \\ {f }^{ - 1} ( - 3) = \frac{ - 3 + 3}{ - 3 + 2} = 0[/tex]

What is 5/6 - 3/8

A. 1/3
B. 9/16
C. 1/12
D. 11/24

Answers

Answer:

The correct answer is D

Step-by-step explanation:

5/6=20/24. 3/8=9/24. 20/24-9/24=11/24 so D

Can someone plz help me!!

Answers

Answer:

145°

Step-by-step explanation:

upper left angle inside triangle is 180-137, or 43°

lower right angle inside triangle is 180-(43 + 102) or 35°

'?' measures 180 - 35 which is 145°

The airplane travels 1,650 miles in 3 hours. What is
the unit rate?

Answers

Answer:

550 miles per hour

Step-by-step explanation:

Complete the statement. Round to the nearest hundredth if necessary.

0.3 km ≈ ? mi

Answers

Answer:

0.186 mile rounded = 0.19

Step-by-step explanation:

the answer is 0.19

Solve the system of equations.
−10y+9x=−9
10y+5x=−5

Answers

-10y+9x=-9
solve for y=9/10+9x/10
solve for x=-1+10y/9

10y+5x=-5
solve for y=-1/2-x/2
solve for x=-1-2y

Is (9, 0) a solution to the equation y = 9? yes no​

Answers

Answer:

I'm going to say no

Step-by-step explanation:

Because y in the pair y is zero not 9.

A farm covers land in the shape of a trapezium. The length of the northern boundary of the farm is 265 m and length of the southern boundary is 180 m. The perpendicular distance from the northern end to the southern end is 90 m.
a Draw a diagram of the farm and find its area to the nearest square metre.
b Write your answer to part a to the nearest hectare.
c The farmer decides to purchase his neighbour's farm, which is in the shape of a rectangle but has the same area as his farm. What are possible dimensions neighbour's farm? Give your answer in metres.

Answers

Answer:

Step-by-step explanation:

Part A

Givens

b1 = 265

b2 = 180

h  = 90

Formula

Area = (b1 + b2)*h / 2

Solution

Area = (265 + 180) * 90 / 2

Area = 445 * 90 / 2

Area = 40050 / 2

Area = 20025 square meters

Part B

1 hectare = 10000 square meters

x hectare = 20025 square meters         Cross multiply

x * 10000 = 20025 * 1                             Divide by 10000

x  = 20025 / 10000

x = 2.0025

Rounded to the nearest hectare that would be 2

Part C

The best shape is a square.

That would mean that the area is given by

s^2 = 20025

sqrt(s^2) = sqrt(20025)

s = 141.51

Each side of the rectangle (square) = 141.51

4. I NEED HELP ASAP!! PLEASE PUT AND ANSWER AND STEP BY STEP EQUATION!! IF YOU DON'T KNOW THE ANSWER DON'T PUT ANYTHING!!
IT'S NOT B

Write a rule for the linear function in the table.



A. f(x) = –3x – 4

B. f(x) = -1/3x - 4

C. f(x) = x – 7

D. f(x) = 3x + 4

Answers

Answer:

A. f(x) = -3x - 4

Step-by-step explanation:

Acil cevap lütfen hemen atarsanız sevinirim (✿^‿^)♥️♥️♥️​

Answers

Answer:

hai :D

Step-by-step explanation:

Also try D

Which value is greater 4/5 or 70%

Answers

Answer:

4/5

Step-by-step explanation:

4/5 = .8

70% = .7

Answer:

4/5

Step-by-step explanation:

flora has a summer job where she earns $9.50 per hour. At this company, employees get a 10% raise after working for 400 hours. If flora works 640 hours over the summer, how much money will she make?

Answers

So if she works 640 hours we need to find out how much of that gets the 10% raise
640-400=240
So 240 hours get a 10% raise
400 • $9.50= $3,800
To find out how much the raise effects it
$9.50 • 10%= $0.95 + $9.50= $10.45
So the rates for the hours over 400 are $10.45
240 • $10.45=$2,508

$2,508 + $3,800= $6,308
So she made $6,308

Solve by factoring: x2 – 9x + 20 = 0

A. x = - 4 and x = - 5

B. x = 4 and x = 5

C. x = 20 and x = - 9

D. x = - 4 and x = 5

Show your work​

Answers

Answer:

Answer

Given equation is:

x

2

−9x+20=0

⇒x

2

−5x−4x+20=0

⇒(x−4)(x−5)=0

⇒x=4andx=5

Answer:
B.x = 4 x=5

Expiation:
x * (x-4)-5(x-4)=0
(x-4)*(x-5)=0
x-4=0
x-5=0
x1= 4 x2= 5

d. How much of each ingredient would you need to make an identical recipe that serves 18 people?​

Answers

Say you needed 2 cups of flour, you would multiply that by 18, 2x18 = 36. So just multiply every ingredient by 18.

Calculate the values of angles A and C of triangle ABC, where b =17.23cm,c=10.86cm and B=10 1 degree 15

Answers

Answer:

C = 38.18°;  A = 40.57°

Step-by-step explanation:

B = 101' 15"

B = 101° + (15/60) = 101 + 0.25 = 101.25°

b =17.23cm,c=10.86cm

From Sine rule :

c/ sin C = b / Sin B

10.86 / sin C = 17.23 / sin 101.25

SinC = (sin 101.25 * 10.86) / 17.23

Sin C = 10.651328 / 17.23

Sin C = 0.6181850

C = Sin^-1(0.6181850)

C = 38.183716

C = 38.18°

Sum of angles in a triangle = 180°

A +  B + C = 180°

A + 101.25° + 38.18° = 180°

A = (180 - (101.25 + 38.18))

A = 40.57°

what is the centimeters per hour. PICTURE. I REALLY NEED HELP

Answers

Answer:

1 Centimeter per Hour: 1 Centimeter per hour is approximately equal to 2.777 778 x 10-6 meters per second (SI unit).

Step-by-step explanation:

1 Centimeter per Hour: 1 Centimeter per hour is approximately equal to 2.777 778 x 10-6 meters per second (SI unit).

A bag contains 4 Snickers bars and 1 Twix bar, and the outcome is drawing a Twix bar. Does the phrase that describes the probability of drawing a Twix bar change from Part A?
a: yes, because there are still only two possible outcomes.
b:No, because it is still less likely to have an outcome of drawing a Twix.
c: yes, because it is still less likely to have an outcome of drawing a Twix.
d:No, because there are still only two possible outcomes.

Answers

Answer:

C. Yes,because it is still less likely to have an outcome of drawing a Twix.

Step-by-step explanation:

A hot air balloon went from an elevation of 6,039 feet to an elevation of 3,288 feet in 42 minutes. What was its rate of descent?

Answers

Answer:

65.5 feet per second

Step-by-step explanation:

In order to calculate the rate of descent we first need to find the difference in heigh that the hot air balloon descended. We do this by subtracting the initial height from the end height like so...

6,039 - 3,288 = 2,751 ft

Now that we have the difference in height we need to divide this by 42 since that is the amount of time it took for this descent to occur.

2,751 ft / 42s = 65.5 ft/s

Finally we can see that the rate of descent was 65.5 feet per second

Help me solve this problem
2|m/2|-1>3

Answers

Answer:

is this even a equation

Step-by-step explanation:

Please answer this question CORRECTLY!!!!!

Answers

The answers are the ones in the boxes. All you had to do was substitute x for the numbers on the left.

Omh pls help me 6thh grade math it's do in 10 mins

Answers

Answer:

1. 42

2. d cuz it has nothing-

3. A

all im saying cuz ik u can do this

Answer:

number 1 is 52% i am  goin through them

Step-by-step explanation:

Due in a few minutes-please help me solve these geometry problems!!!

Answers

Answer:

You must be 65.3 ft. closer

Step-by-step explanation:

The first triangle has a length x along the ground and a height of 50 with a 90 degree angle between the ground and the tree. The angle of elevation is 25 degrees.

By the definition of tangent:

tan(25)=50/x

Solve for x

x=50/tan(25)=107.225

The second triangle has a length y along the ground and a height of 50 with a 90 degree angle between the ground and the tree. The angle of elevation is 50 degrees.

By the definition of tangent:

tan(50)=50/y

Solve for y

y=50/tan(50)=41.955

The difference between x and y is how much closer to the tree you must be.

x-y=65.27

The Value of (441)2 – (440)2 is :

(i) 841 (ii) 1 (iii) 881 (iv) 0

Answers

The answer is (iii) 881.

Explanation:

(441)² - (440)²

= (441+440)(441-400)

= (1)(881)

= 1 • 881

= 881

Please help! I need the equation of this line.

Answers

Answer: why?

Step-by-step explanation:

The coordinates are (5,-2)

Enter the value of n so the expression (7y + 6) + (3y – 2) is equivalent to (ny + 4),

Answers

Answer:

10

Step-by-step explanation:

The figure is one-fourth of a circle.

What is the perimeter of the figure?

Use 3.14 for π.

One fourth of a circle with a radius of 11 cm.

GIVING BRAINLIEST IF YOU SOLVE IT (:

Answers

Answer:

around 39.27

Step-by-step explanation:

2*11*3.14=69.08/4=17.27+22=39.27

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