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Natali5045456 [20]
2 years ago
5

Find all real solutions to the equation. x3 + 2x2 - 6x – 12 = 0

Mathematics
1 answer:
Llana [10]2 years ago
4 0

Answer:

-6x-12 /-2x^2+x^3

Step-by-step explanation:

this question was on my math test

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Assignment: Translating Functions Investigation
Leto [7]

Answer:

Part A)

1) The graph in the attached figure N 1

2) The coordinate rule is (x,y) -----> (x,y+10)

3) The translation of the function up 10 units means that the initial deposit is $60 instead of $50

Part B)

1) The graph in the attached figure N2

2) The coordinate rule is (x,y) -----> (x-10,y)

3) The translation of the function right 10 units means that the initial deposit is equal to $10

Part C)

1) In each translation, the slope is the same (m=5) are parallel lines

2) The vertical translation would be up 40 units

Step-by-step explanation:

we have

f(x)=5x+50

where

f(x) --> represents Jeremy's account balance

x ---> the time in years

Part A)

The translation of the function is up 10 units.

The rule of the translation is equal to

(x,y) -----> (x,y+10)

so

The new function will be

f(x)=5x+50+10

f(x)=5x+60

The graph in the attached figure N 1

The translation of the function up 10 units means that the initial deposit is $60 instead of $50

Part B)

The translation of the function is right 10 units.

The rule of the translation is equal to

(x,y) -----> (x-10,y)

so

we have

f(x)=5x+60 ----> function Part A

The new function will be

f(x)=5(x-10)+60

f(x)=5x+10

The graph in the attached figure N 2

The translation of the function right 10 units means that the initial deposit is equal to $10

Part C)

1. Look at the translations, what characteristic of the graph stayed the same in each translation?

In each translation, the slope is the same

The slope m is equal to m=5  

Are parallel lines

2. Look at the original graph and the graph of the translation right 10 units. What vertical translation of the graph in Part B would put the graph back to its original position?

we have

f(x)=5x+10

The vertical translation would be up 40 units

The rule of the translation is equal to

(x,y) -----> (x,y+40)

so

The new function will be

f(x)=5x+10+40

f(x)=5x+50

3 0
3 years ago
a bag contains 6 blue chips 3 red chips 9 green chips and 2 yellow chips. if i pull a chips out, record the colors and return th
kherson [118]
Blue: 6/20 or 1/5
Red: 3/20
Yellow: 2/20 or 1/10
Hope this helps
5 0
3 years ago
Solve the proportion
sergeinik [125]

y =  \frac{28}{5}

4 0
2 years ago
Read 2 more answers
Simplify -3x+1y+8x-8y
Fudgin [204]

Answer:

-3x +1y +8x -8y

=5x-7y

The answer is: 5x-7y

6 0
3 years ago
Read 2 more answers
Help even tho it’s multiple choice make sure you are correct... I beg you lol
kondaur [170]

Answer:

The equation of the line is:

y=(-\frac{1}{2})x+1

Therefore, option a is the correct answer.

Step-by-step explanation:

Given the points

  • (-2, 2)
  • (4, -1)

Finding the slope

\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-2,\:2\right),\:\left(x_2,\:y_2\right)=\left(4,\:-1\right)

m=\frac{-1-2}{4-\left(-2\right)}

m=-\frac{1}{2}

As the point-slope form of the equation of the line is

y-y_1=m\left(x-x_1\right)

where m is the slope

substituting the values m=-\frac{1}{2} and the point (-2, 2)

y-y_1=m\left(x-x_1\right)

y-2=\frac{-1}{2}\left(x-\left(-2\right)\right)

y-2=\frac{-1}{2}\left(x+2\right)

y-2=-\frac{1}{2}\left(x+2\right)       ∵\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}

Add 2 to both sides

y-2+2=-\frac{1}{2}\left(x+2\right)+2

y=(-\frac{1}{2})x+1

Hence, the equation of the line is:

y=(-\frac{1}{2})x+1

Therefore, option a is the correct answer.

4 0
3 years ago
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