Consider the graph of f(x)=x^3-3x^2+2x-6 below
1) what is the real solution of f(x) based on the graph? Verify algebraically that your answer is a zero f(x).
2) factor f(x)
3) find all complex zeros of f(x)
4) write as a product of three linear factors

Answer:

A)2x+7

Step-by-step explanation:

-x+5+3x+2

2x+7

Answer:

a and d

Step-by-step explanation:

pls mark brainliest

Answer:

The minimum cost for the transportation for the field trip is $1700

Step-by-step explanation:

Let x be the no. of large buses and y be the no. of small buses

Number of students in large bus = 60

Number of students in x large buses = 60x

Cost of 1 large bus =$300

Cost of x large buses = 300x

Number of students in small bus = 45

Number of students in y small buses = 45y

Cost of 1 small bus =$200

Cost of y small buses = 200y

Cost = 300x+200y

We are given that A school district needs to arrange transportation for at least 360 students

[tex]60x+45y \geq 360[/tex]

The district only has chaperones for, at most, seven buses.

[tex]x+y \leq 7[/tex]

Plot the lines on graph

[tex]60x+45y \geq 360[/tex] --- Black region

[tex]x+y \leq 7[/tex] --- Red region

Feasible points :

At(3,4)

Cost  = 300x+200y=300(3)+200(4)=1700

At(7,0)

Cost  = 300x+200y=300(7)+200(0)=2100

At(6,0)

Cost  = 300x+200y=300(6)+200(0)=1800

So, The minimum cost for the transportation for the field trip is $1700

Answer:

1700

Step-by-step explanation:

2020 edge

See attachment for math work and answer.

Answer:

Adelaide has a credit card with a company that charges $3.00 for every day a payment is late. If she paid $492.93 for a bill that is 3 days late, how much was the bill without the late fee?

A. $486.93

B. $483.93

C. $489.93

D. $480.93

Step-by-step explanation:

help me with this question

Answer:

48 dollars.

Step-by-step explanation:

If Mr. George starts with 42, and adds 6, his new balance should equal 48 because you add the two numbers.

Answer:

√600 is around 24.5 while ∛56 is around 3.83

Step-by-step explanation:

Method: TRIAL AND ERROR

For √600, we can follow trial and error method:

30^2 is 900, so too big

20^2 is 400, so too small

25^2 is 625, too big

24^2 is 576, too small

Considering that 600 is between 24^2 and 25^2, we can try in between:

24.5^2 is 600.25, which is very close, therefore 24.5 is the answer

For ∛56, we can also follow trial and error method:

5^3 is 125

4^3 is 64

3^3 is 27

Considering that 56 is somewhere between 3^3 and 4^3, and that it's much more closer to 4^3, we can try 3.6^3, which is: 46.656;

3.7^3 is 50.6

3.8^3 is 54.8

3.9^3 is 59

3.85^3 is 57

3.84^3 is 56.6 (still larger)

3.83^3 is 56.1

So the answer is 3.83

But the method above works when using calculator, best for a calculator exam. If calculator is not allowed, you can find the difference between the two possible answers (e.g: 27 and 64 (3^3 and 4^3) following the above, to find out ∛56.) Of course, 56 is much nearer to 4^3, so we can assume that the answer is around 3.8.

Hope this helped. :)

~ Janice, year 10

Answer:

87.5 teaspoons

Step-by-step explanation:

Given that a mixture of purple paint contains 6 teaspoons of red paint and 15 teaspoons of blue paint.

So, Purple paint : Blue paint =  6 :15

To make the same shade the ratio of purple and blue paint must be the same.

In the new mixture, the amount of purple paint =35 teaspoon.

let the amount of red paint =x teaspoon.

So, in the new mixture,

Purple paint : Blue paint =  35 : x

So, to make the same shade, the ratio of purple and red paint must be the same, i.e

35 : x =  6 :15

[tex]\Rightarrow \frac {35}{x}=\frac{6}{15}[/tex]

[tex]\Rightarrow x={35\times15}{6}=87.5[/tex]

Hence, 87.5 teaspoons of red paint required to mix with 35 teaspoons of purple paint to make the same shade.

Answer:

14

Step-by-step explanation:

∠AOB is a straight angle, meaning that it is 180°.  Since ∠AOC, ∠COD, and ∠DOB are within ∠AOB, the sum of all of the angles is equal to 180°.

∠AOC + ∠COD + ∠DOB = ∠AOB

(5x) + (3x + 30) + (2x + 10) = 180

5x + 3x + 30 + 2x + 10 = 180

10x + 30 + 10 = 180

10x + 40 = 180

10x + 40 - 40 = 180 - 40

10x = 140

10x/10 = 140/10

x = 14

Answer:

180.8

Step-by-step explanation:

multiply 6.40 with the hour 28.25

Hope this helps!

Answer:

The new coordinate of B' will be ( -1, 6)

The translated coordinate of the point B' will be (-1,6).

The process of changing the location of the image on the coordinate system will be known as the translation.

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

Given that the coordinates of point B of the triangle are (1,6). The translated coordinates will be,

B = ( 3, 0 )

Translated 4 units down and 6 units right,

B' = ( 3 - 4 , 0 + 6 )

B' = ( -1, 6 )

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Answer:

6 hours

Step-by-step explanation:

Answer:

Its -1. Do not call yourself dumb, though, negatives are the easiest subject

Step-by-step explanation:

Answer:

m = slope  

b = y-intercept  

y = output  

x = input

y = mx + b

y2 - y1 / x2 - x1

Complete question is;

Jon is stuck on the side of a cliff. Jon is at the midpoint from the ground to the top of the cliff. Jon is 40 + 2x feet away from the bottom of the cliff. The cliff is 200 feet tall.

Solve for x.

How far is Jon from the top of the cliff

Answer:

x = 30 ft

Jon is 100 ft from the top of the cliff

Step-by-step explanation:

We are told that Jon is at the mid point of the Cliff.

Since The cliff is 200 feet tall, the Jon is; 200/2 ft = 100 ft from either the top or bottom.

Now, we are told that Jon is 40 + 2x from the bottom of the cliff.

Thus;

40 + 2x = 100

Subtract 40 from both sides;

40 - 40 + 2x = 100 - 40

2x = 60

x = 60/2

x = 30 ft

And Jon is 100 ft from the top of the cliff as earlier seen

Answer:

5000 I think bc 5 times 1000 is 500

Answer:

Step-by-step explanation:

1000 meter = 1 kilometer

1 km= 1000 meter

constant proportionality

y/x=k

y is km , x is meter

1/1000=k

y=1/1000 x (x is the number of meters)

meter                              Km

250                                0.25

12                                   12/1000=0.012

1                                      1/1000

kilometer                      meter

5                                   5000

20                                20000

0.3                               300

Answer:

10/19

Step-by-step explanation:

Answer:

-19/10

Step-by-step explanation:

10x= - 19

divide 10 by each side to get -1.9

convert -1.9 to a fraction -1u9/10

then convert it to an improper fraction -19/10

hope this helps;)

Answer:

[tex]\frac{HG}{FG}[/tex] or [tex]\frac{12}{37}[/tex]

sin= opposite over hypotenuse

Answer:

b

Step-by-step explanation:

Only option b from the available options represents equivalent ratios.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Equivalent ratios are the ratios that are the same when we compare them. Two or more ratios can be compared with each other to check whether they are equivalent or not.

The function of a line that shows the equivalent ratio always goes through the origin point of a cartesian plane.

The general form of the equation that shows the equivalent ratio:

Y = MX

Where M is Slope

therefore, From the given Options only option b is representing equivalent ratios.

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Complete Question:

Answer:

x or I=-7

Step-by-step explanation:

Step-by-step explanation:

√7 * √7 = 7 , which is not a irrational number

Answer:

1.yes

2. yes, and yes [tex]\frac{4}{1}[/tex]

3. yes, its a whole number.

4.yes

5. whole, intenger, rational, real

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

If 4x=20 then all we need to do is to divide both sides by 4 and we get x=5. Also, if replace x with 5 within any of the equations it works.

Hope this helps!

The solution is: The value of x is: x=5

Here, we have,

given that,

the expression is: 4x - 8 = 12

we get,

4x - 8 = 12

or, 4x - 8 + 8 = 12 + 8

or, 4x = 20

now, we have,

If 4x=20 then all we need to do is to divide both sides by 4 and we get x=5.

i.e. 4x/4  = 20/4

or, x = 5

Also, if replace x with 5 within any of the equations it works.

Hence, The solution is: The value of x is: x=5

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Answer:

( x - 3 ) ( x + 15 )

Step-by-step explanation:

Answer:

3  and  5 , as  − 3 + 5 = 2  

∴ ( x − 3 ) ( x + 5 )

Answer:

x = 6

x = -5

Step-by-step explanation:

Solving (1)

5x - 4 = 3x + 8

Bring variables to one side

5x - 3x = 8 + 4

The result is

2x = 12

Solve for x

½ * 2x = ½ * 12

x = 6

Solving (2)

-4x + 7 = -7x - 8

Bring variables to one side

7x - 4x = -7 - 8

The result is

3x = -15

Solve for x

⅓ * 3x = -15 * ⅓

x = -5

Answer:

125 birr

Step-by-step explanation:

80%=100

1%=1.25

100%=125

Answer:

Im not sure. but isnt the answer 15

Step-by-step explanation:

Because to find the shaded amount you would do 3x5 and get 15.

Answer:

I'm not sure tbh but I'm pretty sure the answer is 15

Step-by-step explanation: