The profits of Mr. Unlucky's company can be represented by the equation f(x)=−3x^2+18x−4, where y is the amount of profit in hundreds of thousands of dollars and x is the number of years of operation. He realizes his company is on the downturn and wishes to sell before he ends up in debt.What is the maximum profit?

Answers

Answer 1

Answer:

Step-by-step explanation:

maximum years would be where x=-b/2a or -18/-6 or x=3

put that into the equation to get y=-27+54-4=23 hundreds of thousands.

from year 3 on, the profit decreases

the zero point is where y=0 this is -3x^2+18x-4=0

or 3x^2-18x+4=0

quadratic formula

x=(1/6)(18+/-sqrt(324-48)); sqrt 276=16.61

x=(34.61/6)=5.77 years, so 2.77 years of decreasing profits.


Related Questions

This question is about comparing ratio tables and graphs​

Answers

Answer:

Arisa

3 dogs-15 mins

4 dogs-20 mins

Sofia

3 dogs-12 minutes

4 dogs-16 mins

i’ll mark brainliest please help and explain!!

Answers

Answer:

c

Step-by-step explanation:

I just guessed, it makes sense

whats the answer please help

Answers

Answer:

C

Step-by-step explanation:

how to write y-2=-1/3 (x+6) in standard form and why PLZ HELP

Answers

[tex]y-2=-\frac{1}{3}(x+6)\\y=-\frac{1}{3}(x+6)+2[/tex]

Simply move -2 to another side.

[tex]y=-\frac{x}{3}-2+2[/tex]

Distribute -1/3 in (x+6)

[tex]y=-\frac{x}{3}[/tex]        ---> Answer

Answer:

x + 3y = 0

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

Given

y - 2 = - [tex]\frac{1}{3}[/tex] (x + 6) ← distribute

y - 2 = - [tex]\frac{1}{3}[/tex] x - 2 ( add 2 to both sides )

y  = - [tex]\frac{1}{3}[/tex] x ( multiply through by 3 to clear the fraction )

3y  = -  x ( add x  to both sides )

x + 3y = 0 ← in standard form

Joel cut the longest piece of fencing in order to make a right triangle. Find the perimeter of Joel's fence.

Answers

He needs 20 minutes to install all of the fence.

Since we have given that

Dimensions of triangle he has to use for fencing are

15 feet, 8 feet, and 20 feet.

1) For making it a right triangle it must satisfy the "Pythagorus theorem" which states that

H²= B²+P²

⇒ 20²= 15²+8²

⇒ 400 ≠ 225+64

⇒ 400≠ 289

No, it will not be able to make a right triangle.

2) Joel cut the longest piece of wood in order to make a right triangle.

So, from above we get that

√289= 17 FEET

So, Longest side must be 17 feet.

It is takes him 30 seconds to install each foot of fencing,

Total perimeter of fencing will be

17+15+8=40 feet

So, for 1 foot he needs = 30 seconds

For 40 feet , he will need

40×30=1200 seconds

1200/60

= 20 MINUTES

Hence, he needs 20 minutes to install all of the fence.

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i need to solve this questions the sum of two numebers is 5.036 .one number has a 4 in the tenths place and a 7 on the thousandths place.the other number has a 1 in the ones place and and an 2 in the hundredths place. what are the two numbers?

Answers

Two numbers, whose sum is 5.036, are 3.407 and 1.629.

Decimals numbers are numbers containing wholes and parts separated by a decimal point ".".

In adding or subtracting decimal numbers, first is to align the decimal point of the decimal numbers. Add/subtract the digits from right to left.

If we have two numbers, one number has a 4 in the tenths place and a 7 on the thousandths place, the second number has a 1 in the ones place and and an 2 in the hundredths place, and their sum is 5.036, we can write that as:

 _ . 4 _ 7

+ 1 . _ 2 _

 5 . 0 3 6

7 and 9 when added will give a sum of 16.

 _ . 4 _ 7

+ 1 . _ 2 9

 5 . 0 3 6

Since there is 1 from 16 earlier, 1 and 2 when added will give a sum of 3.

 _ . 4 0 7

+ 1 . _ 2 9

 5 . 0 3 6

4 and 6, when added will give a sum of 10.

 _ . 4 0 7

+ 1 . 6 2 9

 5 . 0 3 6

Since there is 1 from 10, 1 added to 1 and 3 will give a sum of 5.

 3 . 4 0 7

+ 1 . 6 2 9

 5 . 0 3 6

Hence, the two numbers are 3.407 and 1.629.

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if 7 loads of stone weight 2/3 tons what is the weight of 1 load of stone in tons

Answers

10.29 answer answer answer answer answer

Ms. D's 4th period geometry class has both freshman and sophomores. There are 27 kids in the class and it has twice as many freshman as sophomores. How many freshman are in the class?

let x=
let y=

Answers

13.5 freshman well rounded off to 14 freshman

Need help ASAP
!

ありがとう

Answers

1: 0
2: 3
3: -7
4: -7
5: 5^-3 or cubed root of 5
6: 2
7: 2
8: 37
9: 48
10: -3
11: x-6
12: 2x/3
13: 11x
14: 3/x
17: x+ (x+3)
18: x+(3x)
19: (x+1)/(x-1)
20: x-|x|
the two i skipped were worded weirdly sorry

Help please??????????

Answers

yx^12

Step-by-step explanation:

technically it's yx with an exponent that's 12

When Kyra solved an equation, she ended up with x = 0. She stated that there was no solution. Is Kyra correct?

Answers

Answer:

x=0 does not mean no solution

Step-by-step explanation:

so kyra is incorrect

This table gives the minutes players spent practicing basketball free throws and the number of baskets they made when they were timed the next day at practice.

Practice time (min) 45 100 57 8 90 63 25 84 30 120 19 18
Baskets made 15 21 18 5 22 18 19 23 16 20 7 10

What is the correlation coefficient of the data?


0.12

0.64

0.80

0.92

Answers

Answer:0.80

Step-by-step explanation: calculator

There are 25 girls and 15 boys playing soccer this season.
a. What is the ratio of girls to boys?

Answers

Answer:

5:3

Step-by-step explanation:

hope this help brainliest pls

PLEASE HURRY I WILL MARK BRAINLIEST
A triangle with an area of 646 m2 has a height of 68 m. What is the length of the base of the triangle?
Base = __________

Answers

Answer:

9.5m

Step-by-step explanation:

646÷ 68 = 9.5 m

area ÷ height = base of triangle

Which of the following is the proper name for the figure below?
s
E
A. ADSK
B. ADKM
C. ADME
D. ADOM

Answers

Answer:

ADOM IS THE ANSWER OF THIS QUESTIONS

Evaluate each expression
|30-5|-|-7|

Answers

Answer:

18

Step-by-step explanation:

|30 - 5| - |-7| = 18

Brainliest to correct answer.

Answers

Answer:

The Triangles are proportional

Step-by-step explanation:

This is because the difference in each triangle is that each one is adding one inch to each side

pls put me as brainiest

What is 642 divided by 1083?

Answers

Answer:

.592 the full thing is .592797783934

Step-by-step explanation:

calculator

Armando used algebra tiles to represent the product
3x(2x - 1).

Answers

6x to the power of 2 - 3x let me know if I’m wrong

Please help Will give brainliest!!

A dice has six equally likely outcomes. If the dice is rolled what is the P(6)?​

Answers

Answer:

1/6  (16.667%)

Step-by-step explanation:

144-inch board is cut into two pieces. One piece is two times the length of the other. Find the length of the shorter piec
he shorter piece is
inches long

Answers

Answer:

48 inches

Step-by-step explanation:

144/3 is 48, the other two 3rds are the other piece

Vince borrows $900 to buy a couch. He will pay off the loan by paying 1.5% simple interest for 2 years. Vince incorrectly calculates the amount he will pay back using the expression below. What is the correct amount Vince will pay back altogether?

Answers

Answer:

the correct amount that Vince have to pay back altogether is $927

Step-by-step explanation:

The computation of the correct amount that Vince have to pay back altogether is as follows:

As we know that

Amount = Principal + Principal × rate of interest × time

= $900 + $900 × 0.015 × 2

= $900 + $27

= $927

Hence, the correct amount that Vince have to pay back altogether is $927

We simply applied the above formula so that the correct value could come

And, the same is to be considered

-6-(4p-2)<-5p-10+4

Solve for P

Answers

p = -2

I did the work :)

P less than -2
(-∞, -2)

Rudolph and the other reindeer are pulling Santa's sleigh that has a mass 1
of 525 kg at a rate of 125 m/s/s, how much force are the reindeer using to
pull the sleigh?
4.2 N
400N
12,500N
65,625 N
help?

Answers

Answer:

it is 4.2 n

Step-by-step explanation:

because you have to divide 525/125=4.2

Mr. Grouper has budgeted $2000 for a graduation party for his son. The cost to rent the venue is $150 and each guests receives a $3.50 gift. How many people can Mr. Grouper invite to his sons graduation party?

Answers

Answer:

Mr. Grouper can invite 528 people to his sons graduation party.

Step-by-step explanation:

x= number of people

3.50x +150 =2000

-150

3.50x = 1850

1850/ 3.50

528.571428571  = 528

Mr. Grouper can invite around a total of 528 people to attend for the graduation party of his son.

What is Equation?

Equation is a statement including expressions on two sides related by an '=' sign. This may or may not include two or more variables and can be solved using various methods.

Total budget for the graduation party = $2000

Cost to rent the venue = $150

Cost of gift for each guest = $3.50

Let n be the number of guests invited for the party.

Then 3.50n will be the total cost for the guests.

Then we have the linear equation,

150 + 3.50 n = 2000

Solving this will get the number of guests, n.

3.50n = 2000 - 150

3.50n = 1850

n = 1850 / 3.50

n = 528.57 ≈ 528

Hence Mr. Grouper can invite almost 528 people to his son's graduation party.

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What’s point B’
What’s point C’
After being dilated by a scale factor 1.5?

Answers

Given:

The given figure is dilated by a scale factor 1.5.

To find:

The coordinates of B' and C'.

Solution:

If a figure is dilated by a scale factor k at point (a,b), so the rule of transformation is

[tex](x,y)\to (k(x-a)+a,k(x-b)+b)[/tex]

From the given figure it is clear that A(3,-3), B(-2,2) and C(-3,-5).

The figure is dilated by a scale factor 1.5 at point A(3,-3), so the rule of transformation is

[tex](x,y)\to (1.5(x-3)+3,1.5(x-(-3))+(-3))[/tex]

[tex](x,y)\to (1.5(x-3)+3,1.5(x+3)+(-3))[/tex]

[tex](x,y)\to (1.5(x)-4.5+3,1.5(x)+4.5-3)[/tex]

[tex](x,y)\to (1.5x-1.5,1.5x+1.5)[/tex]

Using this rule, we get

[tex]B(-2,2)\to B'(1.5(-2)-1.5,1.5(2)+1.5)[/tex]

[tex]B(-2,2)\to B'(-3-1.5,3+1.5)[/tex]

[tex]B(-2,2)\to B'(-4.5,4.5)[/tex]

And

[tex]C(-3,-5)\to C'(1.5(-3)-1.5,1.5(-5)+1.5)[/tex]

[tex]C(-2,2)\to C'(-4.5-1.5,-7.5+1.5)[/tex]

[tex]C(-2,2)\to C'(-6,-6)[/tex]

Therefore, the coordinates of B' and C' are B(-4.5,4.5) and C'(-6,-6).

in a different plan for area​ codes, the first digit could be any number from 4 through​ 8, the second digit was either 4 5 6 or 7, and the third digit could be any number except 2 or 7 with this​ plan, how many different area codes are​ possible?

Answers

There are 160 possibilities for area codes

We are required to find all the combinations for different area codes

It is given to us that the conditions for the tree digit area code are:

first digit could be any number from 4 through​ 8,

the second digit was either 4 5 6 or 7, and the third digit could be any number except 2 or 7

Using the conditions above, the digits which can be first digit of code = 4 through 8 =4,5,6,7,8

the digits which can be second digit of code= 4,5,6,7

the digits which can be third digit of code = 0,1,3,4,5,6,8,9

number of possibilities for first digit= 5

number of possibilities for second digit=4

number of possibilities for third digit= 8

Therefore, total number of possibilities of code   = number of possibilities of first digit x number of possibilities of second digit x number of possibilities of third digit = 5 x 4 x 8=160

Therefore, there are 160 possibilities for area codes

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Equivalent ratios
Select two ratios that are equivalent to 3 : 12.
Choose 2 answers:​

Answers

Answer:

1:4 and 6:24

Step-by-step explanation:

Answer:

1:4 and 16:18 or 3:1

Step-by-step explanation:

1:4 because 1 x 3=3 and 3 x 4=12,

3 x 1=3 and 1 x 12=12,

4 x 4=16

6 x 3= 18

Write the equation in slope intercept form y - 4=10(x-5)

Answers

Answer:

y = 10x - 46

Step-by-step explanation:

slope intercept form: y = mx + b

m is slope and b is y-intercept

given: y - 4 = 10(x-5)

1. distibute 10

y - 4 = 10x - 50

2. we need to get y by itself so bring -4 to other side

y = 10x - 50 + 4

y = 10x - 46

slope-intercept form is [tex]y=mx+b[/tex]

[tex]y=10(x-5)+4[/tex]          ↣ We move -4 to another side and become positive number.

[tex]y=(10x-50)+4[/tex]             ↣ Distribute 10 inside the brackets.

[tex]y=10x-50+4\\y=10x-46[/tex]            ↣ Then we get the slope-intercept form.

Thus, the answer is [tex]y=10x-46[/tex]

How much interest will $1,200 earn over 10 years with 5% interest compounded annually?

A. $600
B. $679.88
C. $754.67
D. $1954.67

Answers

Answer:

$600

Step-by-step explanation:

1,200 · 0.05 = 60

60 · 10 = 600

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