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?

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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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).

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

Answer:0.80

Step-by-step explanation: calculator

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

Answer:

48 inches

Step-by-step explanation:

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

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

[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

Answer:

it is 4.2 n

Step-by-step explanation:

because you have to divide 525/125=4.2

yx^12

Step-by-step explanation:

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

Answer:

$600

Step-by-step explanation:

1,200 · 0.05 = 60

60 · 10 = 600

p = -2

I did the work :)

Answer:

1/6  (16.667%)

Step-by-step explanation:

Answer:

9.5m

Step-by-step explanation:

646÷ 68 = 9.5 m

area ÷ height = base of triangle

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.

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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Answer:

C

Step-by-step explanation:

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]

Answer:

18

Step-by-step explanation:

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

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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Answer:

.592 the full thing is .592797783934

Step-by-step explanation:

calculator

Answer:

Arisa

3 dogs-15 mins

4 dogs-20 mins

Sofia

3 dogs-12 minutes

4 dogs-16 mins

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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Answer:

x=0 does not mean no solution

Step-by-step explanation:

so kyra is incorrect

Answer:

ADOM IS THE ANSWER OF THIS QUESTIONS

Answer:

5:3

Step-by-step explanation:

hope this help brainliest pls

Answer:

c

Step-by-step explanation:

I just guessed, it makes sense