Solve the linear equation -3x + 3= 12

Answer:

x² - x - 2 = 0

Step-by-step explanation:

plotting the graph of x and y,we have that the root of the equation is -1 or 2

x = -1 or 2

the eqn therefore is;

x² - (sum of the root)x + (product of the root) =. 0

x² - (-1+2)x + (-1*2) = 0

x² - x - 2 = 0

Applying the Factor Theorem, it is found that the quadratic function is:

[tex]p(x) = x^2 - x - 2[/tex]

------------------------

The Factor Theorem states that if a polynomial [tex]p(x)[/tex] has roots [tex]x_1, x_2, ..., x_n[/tex], it is described by the following equation:

[tex]p(x) = a(x - x_1)(x - x_2)...(x - x_n)[/tex]

In which a is the leading coefficient.

[tex]p(x) = a(x - (-1))(x - 2)[/tex]

[tex]p(x) = a(x + 1)(x - 2)[/tex]

[tex]p(x) = a(x^2 - x - 2)[/tex]

When x = 0, p(x) = -2, and we use this to find a.

[tex]p(x) = a(x^2 - x - 2)[/tex]

[tex]-2 = a(0^2 - 0 - 2)[/tex]

[tex]2a = 2[/tex]

[tex]a = \frac{2}{2}[/tex]

[tex]a = 1[/tex]

Thus, the quadratic function is:

[tex]p(x) = x^2 - x - 2[/tex]

A similar problem is given at https://brainly.com/question/24380382

Answer:

3 1/6

Step-by-step explanation:

5 1/2 =  5 3/6

         -

2 1/3 =  2 2/6

            _____

              3 1/6

Answer:

35 mph

Step-by-step explanation:

The answer should be the average speed it takes to drive, so you would find the average of the speed to go to A with the speed to go to B. You already have the two answers for part A and B, so you would add them, then divide them by 2. It would look like this:

[tex]\frac{30+40}{2} =\frac{70}{2} =35[/tex]

So it would be 35 mph

Answer:

63.6 m^2

Step-by-step explanation:

A = (pi)r^2

r = d/2 = 9 m / 2 = 4.5 m

A = (3.142)(4.5 m)^2

A = 63.6 m^2

Answer:

7

Step-by-step explanation:

Answer:

math is torture

Step-by-step explanation:

Answer:

to read 16pages need 46 minutes

Answer:

i dont see anything

Step-by-step explanation:

Answer:

you didnt add a pic

Step-by-step explanation:

so is the question right?

Answer:

Factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80.

Step-by-step explanation:

Answer:

the answer is 58.32

Step-by-step explanation:

Write the fraction in simplest form.

43/6

Answer:

6. 5x - 2

7. 13in

8. 3a + 20

9. 21 1/2

explanation:

6. add all of the values together

7. plug in 3 into the answer from #6 5(3) - 2 and you will get 13

8. add all values

9. plug in 1/2 into the answer from #8 3(1/2) + 20 and you will get 21 1/2

Answer:

5

Step-by-step explanation

2 + 5 is 7 which equals 1 person 7 x 5 = 35 which means their will be 5 people per group because 30 {room cost} plus 35 is 65

what do i mean?

2 + 5 IS 1 person and 2 plus 5 is 7 so the remaining money they have would be 35 because 65 minus 30 is 35 so i divid 35 by 7 which brings 5 people

Answer:

Where is the list?

Step-by-step explanation:

Answer: 23

Step-by-step explanation:

Answer:

Step-by-step explanation:

You would use -6 and 7 to start your line. With the equation “y=5/6x+7", you would put a dot on 7. Then you would use the 5/6 to start making your line. With fractions, it's always rise/run. Starting from 7, you go up 5 then over(right) 6 until you run out of room on the graph. Then you do the opposite, down 5 then back(left) 6. Then you should have your first line. Then repeat that for the next equation. Start at -6, go down 4 and back three until you run out of room on the graph, then do the opposite. Go up 4 and over 3.

Let me know if this is confusing!

Answer:

so to scale (or dilate) it by three you would multiply each of the numbers in your point by three. In this case that means A' would be (-12,-6)

Step-by-step explanation:

hope this helps :)))

Answer:

6.2

Step-by-step explanation:

6.231 to the 10th

Answer:

He will spend about $6.23

Step-by-step explanation:

You just multiply 9.3 and .67 and get 6.231 rounded to 6.23

Answer:

9935÷2.76243

3596.47122

round it to any place values your question or anythings asks for

Answer:

3596.4712228

Step-by-step explanation:

Answer:

look at the pic i sent

Step-by-step explanation:

Answer:

B(represent an abstract idea)

Step-by-step explanation:

A symbol is a stylistic figure whose essence is to use a word or phrase to refer to another, usually abstract term, to which it refers.

What symbolism means in every sphere is precisely the reference by one term to another term that symbolizes.

A symbol consists of a concrete material designation which refers to some abstract concept.

Answer:

b is correct give the person above brainlist  :)

Step-by-step explanation:

Answer:

y= -6x+23

Step-by-step explanation:

perpendicular: opposite signs and reciprocal

m= 1/6 and y-intercept = 23

y= -6x+23

Answer:

S=3

Step-by-step explanation:

4(2(3)-3)=3((3)+1)

4(6-3)=3(4)

12=12

OR

8s-12=3s+3

5s-12=3

5s=15

s=3

Answer:s=3

Step-by-step explanation:

So the first thing that you do is the distributive property on both sides and then you combine like terms. After that you put the variable all on on side consonants. Then you divide and you get s.

Answer:

What is step 6

Step-by-step explanation:

Answer:

34.5

Step-by-step explanation:

follow me say a thanks mark me branliest

Answer:

Step-by-step explanation:

Step one:

given

Taxi charges =$2

Additional charges =$1.50 per mile driven

Step two:

Required

The cost of the ride for a 6miles long drive

let the number of miles be x

and the total charges be y

The cost function is expressed as

[tex]y=1.5x+2[/tex]------------1

hence for x=6

y=1.5(6)+2

y=9+2

y=11

Therefore the cost of a 6miles drive will be $11

Answer:

bc = 2

Step-by-step explanation:

From [tex]a/b = 8[/tex]

[tex]a=8b[/tex] (times b on both sides)

We can then substitute [tex]a[/tex] for [tex]8b[/tex]:

[tex]ac-5=11[/tex] (given equation)

[tex]8bc-5=11[/tex]

[tex]8bc=16[/tex]

[tex]bc=2[/tex]

I hope this helps :)

Answer:

1.5 x cells

Step-by-step explanation:

3 cells every 2 second

1.5 cells per second

therefore

    after x seconds there ll be 1.5 *x number of cells

 =1.5x cells

Answer:

A

Step-by-step explanation:

7%=0.07

27,000 MULTIPLIED by 0.07=1890

Alice paid: 25,110