Calculate the values of a, b and c. Give reasons for your answers.
Quickly plsss
50 points

lol no

just give up in life

The function is used to model real life situation

(a) The value of a

The function is given as:

[tex]\mathbf{y = a(x - 100)(x - 200) }[/tex]

The profit on 120 computers is 3200000.

So, we have:

[tex]\mathbf{3200000 = a(120 - 100)(120 - 200) }[/tex]

[tex]\mathbf{3200000 = -1600a}[/tex]

Divide both side by -1600

[tex]\mathbf{a = -2000}[/tex]

Hence, the value of (a) is -2000

(b) The maximum profit

The function becomes

[tex]\mathbf{y = -2000(x - 100)(x - 200)}[/tex]

Expand

[tex]\mathbf{y = -2000(x\² - 200x - 100x + 20000)}[/tex]

[tex]\mathbf{y = -2000(x\² - 300x + 20000)}[/tex]

Expand

[tex]\mathbf{y = -2000x\² + 600000x - 40000000}[/tex]

Differentiate

[tex]\mathbf{y' = -4000x + 600000}[/tex]

Set to 0

[tex]\mathbf{-4000x + 600000 = 0}[/tex]

Collect like terms

[tex]\mathbf{4000x = 600000}[/tex]

Divide both sides by 4000

[tex]\mathbf{x = 150}[/tex]

Substitute 150 for x in [tex]\mathbf{y = -2000(x - 100)(x - 200)}[/tex]

[tex]\mathbf{y = -2000(150 - 100)(150 - 200)}[/tex]

[tex]\mathbf{y = 5000000}[/tex]

150 computers must be produced to maximize the profit of $5,000,000  

c) Range when the target is at least $4,800,000

This means that:

[tex]\mathbf{y \ge 4800000}[/tex]

So, we have:

[tex]\mathbf{-2000x\² + 600000x - 40000000 \ge 4800000}[/tex]

Collect like terms

[tex]\mathbf{-2000x\² + 600000x - 40000000 - 4800000 \ge 0}[/tex]

[tex]\mathbf{-2000x\² + 600000x - 44800000 \ge 0}[/tex]

Divide through by -2000

[tex]\mathbf{x\² - 300x +22400 \le 0}[/tex]

Factorize

[tex]\mathbf{(x - 140)(x - 160) \le 0}[/tex]

Express as inequality

[tex]\mathbf{140 \le x \le 160}[/tex]

A range of 140 to 160 computers would give the company at least $4,800,000

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Answer:

Consecutive interior angles

Step-by-step explanation:

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The required values are ~

Refer to attachment for solution ~

That depends on the function in question.

If f(x) is integrable and non-decreasing, then the right Riemann sum overestimates the integral of f.

If f is non-increasing, the right Riemann sum underestimates the integral.

Answer:

Step-by-step explanation:

h(4)=2w+3

4=2w+3

Collect like terms (c. I. T)

4-3=2w

1=2w

Divide both sides by 2(d.b.s)

1/2=2w/2

0.5=w

h=0.5w

Answer:

True

Step-by-step explanation:

Actually, I'm pretty sure it can also be a reflection! :) Have a good day!!!

Answer:

4 : 15

Step-by-step explanation:

total cars = 10 + 12 + 8 = 30 , then

yellow : total

= 8 : 30 ( divide both parts by 2 )

= 4 : 15 ( in simplest form )

Answer:

4 : 15 is the correct answer.

Step-by-step explanation:

10+12+8 is 30. 8 cards are yellow so 8/30 simplified is, 4 : 15.

Answer:

0 and 1 and -2 and -3

Step-by-step explanation:

Answer:

No, it isn't linear because the graph is not a straight line.

Step-by-step explanation:

(see picture of graph)

Linear means a straight line, and these points do not form a line, so it is not linear. You can also calculate this by finding the slope between each point and the previous.

Answer:

(10x^4-50x^3-800)/(x-6)

Step-by-step explanation:

Images with work attached

Answer:

            10 • (x^4 - 5x^3 - 80)

 ————————————————————

                      x - 6  

Step-by-step explanation:

STEP 1:

Equation at the end of step 1

STEP 2:

Equation at the end of step  2

:

STEP 3:

                           10x4 - 50x3 - 800

Simplify   —————————————————

                                        x - 6      

STEP 4:

Pulling out like terms

     Pull out like factors :

  10x^4 - 50x^3 - 800  =   10 • (x^4 - 5x^3 - 80)  

Polynomial Roots Calculator :

    Find roots (zeroes) of :       F(x) = x^4 - 5x^3 - 80

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -80.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,2 ,4 ,5 ,8 ,10 ,16 ,20 ,40 ,80

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -74.00      

     -2       1        -2.00        -24.00      

     -4       1        -4.00        496.00      

     -5       1        -5.00        1170.00      

     -8       1        -8.00        6576.00      

Polynomial Roots Calculator found no rational roots

Polynomial Long Division :

Dividing :  x^4 - 5x^3 - 80  

                             ("Dividend")

By         :    x - 6    ("Divisor")

dividend     x^4  -  5x^3          -  80  

- divisor  * x^3     x^4  -  6x^3              

remainder         x^3          -  80  

- divisor  * x^2         x^3  -  6x^2          

remainder             6x^2      -  80  

- divisor  * 6x^1             6x^2  -  36x      

remainder                 36x  -  80  

- divisor  * 36x^0                 36x  -  216  

remainder                     136  

Quotient :  x^3 + x^2 + 6x + 36  

Remainder :  136

=               10 • (x^4 - 5x^3 - 80)

 ————————————————————

                           x - 6  

Hope this helps, have a nice day/night! :D

A parallelogram is a shape which has opposite sides to be equal and parallel. Therefore, the required properties that are sufficient for the prove are:

A. Line segment AB is congruent to line segment DC and Line segment AD is congruent to line segment BC.

B. Line segment AB is parallel to line segment DC.

Quadrilaterals are four sided shapes. Examples are square, rectangle, parallelogram, trapezium etc. These have different or distinguishing properties.

A parallelogram is a figure that has its opposite sides to be equal in length and which are also parallel. This properties can be used to answer the given question.

Thus, the appropriate criteria that are sufficient to prove that ABCD is a parallelogram are:

A. Line segment AB is congruent to line segment DC and Line segment AD is congruent to line segment BC.

B. Line segment AB is parallel to line segment DC.

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Answer:

Slope is equal to 1.

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Identify.

y = x - 6

Step 2: Find

Break equation, compare to slope-intercept general form.

Slope m = 1

y-intercept b = -6

Answer:

YZ=15

Step-by-step explanation:

All sides of a rhombus are equal so it would be the same length.

answer: 10x² - y² + 3xy + 6x + 3y

Answer:

He divided by n instead of n-1.

It is sample data so we need to divide by n-1 not n.

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

Answer:

10. right triangle 11. obtuse triangle 12. right triangle 13. right triangle

Step-by-step explanation:

Area of measured tile: 12 x 10 = 120 square inches

Area of actual tile = 10 x 10 = 100 square inches:

Percent error = 120-100 = 20/100 = 0.20 x 100 = 20%

Answer: 20%

[tex] \: \: \: \: \: [/tex]

step-by-step explanation

refer to the attachment

Answer:

Cost 0.70 per pound.

Step-by-step explanation:

If you see the cost and the weight you can get the price per pound, so if 5 pounds cost $3.50, you can evaluate doing a rule of three:

So if you clear X you´d get this:

So the cost per pound is $0.70.

Now that you have the cost per pound you can do the equivalent ratios:

Cost---------------Apples

0.70---------------1 pound

3.5--------------- 5 pounds

 7---------------  10 pounds

Brainliest me bro

Answer:

70 cents per pound

Step-by-step explanation:

$3.50/5lb= 70 cent

Answer:

iro 50*.6 gives us 30 miles

andkalini drives 65 for .5 65*.5= 32.5 miles

so kalini drove further

Multiplication:-

a. 7/3 × 2/9 = 7x2/3x9 = 14/27.

b. 3/7 × 5/11 = 3×5/7×11 = 15/77.

c. 15/8 × 6/25 = 3×3/4×5 = 9/20.

d. 21/20 × 15/14 = 3×3/4×2 = 9/8.

Division:

a. 3/4 ÷ 5/7 = 3/4 x 7/5 = 21/12 = (3 x 7) / (3 x 4) = 7/4

b. 9/5 ÷ 6/11 = 9/5 x 11/6 = 99/30 = (3 x 33) / (3 x 10) = 33/10

c. 15/8 ÷ 6 = 15/8 x 1/6 = 15/48 = (3 x 15) / (3 x 16) = 15/16

d. 8/7 ÷ 12 = 8/7 x 1/12 = 8/84 = (4 x 2) / (4 x 21) = 2/21.

Culcul constant des fractions:

a. 3/7 + 15/7 x 3/2

= 3/7 + 45/14

= (3 x 2) / (7 x 2) + 45/14

= 6/14 + 45/14

= 51/14

b. 9/5 x (1/4 - 5/12)

= 9/5 x [(1 x 3) / (4 x 3) - 5/12]

= 9/5 x (3/12 - 5/12)

= 9/5 - 2/12

= (9 x 12) / (5 x 12) - (2 x 5) / (12 x 5)

= 108/60 - 10/60

= 98/60

= (2x 49) / (2 x 30)

= 49/30.

c. (3/8 + 7/5) ÷ (9/4 - 5/3)

= [(3 x 5) / (8 x 5) + (7 x 8) / (5 x 8)] ÷ [(9 x 3) / (4 x 3) - (5 x 4) / (3 x 4)]

= (15/40 + 56/40) ÷ (24/12 - 20/12)

= 71/40 ÷ 4/12

= 71/40 x 12/4

= 852/160

= (4 x 213) / (4 x 40)

= 213/40.

Hope this helps..

The first one it's the first image, and the second one is the second image.

Answer:

First truck = x

Second truck = y

x + 35 = y

x = 2/3y

So

2/3y +35=y

1/3y = 35

y = 35*3

y = 105

And ,

x = 2/3y = 70

The first truck carry 70 tons while the second carry 105 tons

If the first truck carries 35 tons less rice than the second truck, then;

x = y - 35

If the number of paddy in the first truck is 2/3 of the amount in the second truck

x = 2/3 y

Equate both to have:

2/3 y = y - 35

2/3y - y = -35

-y/3 = -35

y = 105

Since x = 2/3 y

x = 2/3 * 105

x = 70

Hence the first truck carry 70 tons while the second carry 105 tons

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Answer: D.25

Step-by-step explanation:

Since they gave you P(10) You'll have to substitue 10 wherever you see the variable 10.

2(10)+5

 2(10)=20

20+5+25

Answer:

25

Step-by-step explanation:

Since they're asking you to find the value of p(10) when t is 10, you would substitute t out for 10 in the function and then solve.

p(10)=2(10)+5

p(10)=20+5

p(10)=25

Hey there!

I'm going to go in order from images.

1. The angle measure 60 is linear to angle 6, this would make them supplementary.

Angle 6: 180 - 60 = 120

Angle 6 is vertical to angle 2, this makes them congruent. If angle 6 equals 120 measure 2 also equals 120.

2. Measure 6 is vertical from measure 2. We established in the last problem measure 2 equals 120.

If angle 2 equals 120 measure 6 also equals 120.

3. The 2 equations are alternate exterior angles.

2x+5=8x-7

    +7     +7

2x+12=8x

-2x     -2x

12=6x

12/6= 2

x=2

4. I cannot explain this one without showing it visually lol.

Measure 5 equals 30 degrees.

5. Measure 1 is verticle to the measure that reads 60. Vertical angles are congruent.

If measure 1 is congruent to the measure that reads 60. Measure 1 equals 60.

I hope this helps!!!

Answer:

y > -4

Step-by-step explanation:

The line almost intercepts at the point -4, but it is slightly above it, meaning Y is bigger (>) than -4.

Step-by-step explanation:

a bc it should be good anser

Answer:

approximately 43 - 44 minutes exact

Answer:

It would take you 2917 hours.

Step-by-step explanation:

Do 777,777,777 divided by 266,560.

I hope this helped at all.

answer:

3x = y

step-by-step explanation:

૪・ i am inferring you have to create an equation?

・jenny have three times = 3x

・as her fav toys — 3x = y

・new toys = y

・fav toys = x

Answer:

fraction 1/4. decimal 0.25 percent 25%

Step-by-step explanation:

5:20=5/20=1/4

1/4 is 0.25

the percentage is 25% aftr multiplying the decimal by 100%