what conclusions can you draw about the roots of the equation x^3+x^2-2x+12=0​

Answer:

-3/2

Step-by-step explanation:

Answer:

D) 10

Step-by-step explanation:

We are told in the question:

Jack wanted to make note cards by cutting pieces of paper in half. . When he was done he had 24 half-pieces of paper.

Step 1

Divide the number of half pieces by 2 to get the number of whole pieces that was cut

= 24 half pieces/2

= 12 full pieces

Step 2

With how many pieces did he start?

We are told in the question that: Before starting he got two more pieces to use

Hence: The number of pieces he started is calculated as:

12 pieces - 2 pieces

= 10 pieces

Hence, he started with 10 pieces

Answer:

 (0 -  (9 • (a^666))) -  (22•3ab^6)

 (0 -  32a^666) -  (22•3ab^6)

  -12ab^6 - 9a^666  =   -3a • (4b^6 + 3a^665)

Final result :

 -3a • (4b^6 + 3a^665)

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

3/4 in decimal form is 0.75

0.75 x 100% = 75%

Thus 75% of the banana is made up of water.

Answer:

Brand A is the better buy

Step-by-step explanation:

bag Which is the better buy?

Step one

Brand A: $5 for 80 pounds of sand

Let us find the unit cost

Unit cost =5/80

=$0.0625 per pound

Brand B: $14 for 175 pound

The unit cost is

=14/175

=$0.08 per pound

Answer: x = 4/7

Explanation and steps is in the image below.

The solution to the given equation 6 - 2(x + 5)/3 = 4x is x = 4 /7.

The equation is defined as an algebraic statement that has a minimum of two terms containing variables or numbers that are equal.

The equation is given in the question

6 - 2(x + 5)/3 = 4x

Apply the distributive property of multiplication,

6 - (2x + 10)/3 = 4x

(2x + 10)/3 + 4x = 6

2x/3 + 10/3 + 4x = 6

2x/3 + 4x = 6 - 10/3

Take the LCM in the above equation,

14x/3 = 8/3

14x = 8

x = 8 / 14

x = 4 /7

Thus, the solution to the given equation 6 - 2(x + 5)/3 = 4x is x = 4 /7.

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Answer:

its the second one

Step-by-step explanation:

Answer:

B. Subtract 28 from both sides

Step-by-step explanation:

2x + 28 = 40

      -28   -28

2x = 12

2x/2 = 12/2

x = 6

Answer:

2/3 of 2 is 1.33

Step-by-step explanation:

this because 2/3 times 2 is 1.33

Answer:

4/3

Step-by-step explanation:

2/3 of 2 is basically multiplying 2/3*2/1.

Therefore it's (2*2)/(3*1) which is 4/3.

Answer: Option B.

Step-by-step explanation:

A linear function can be written as:

y = a*x + b

where a is the slope and b is the y-intercept.

if the line passes through the points (ax, ay) and (bx, by) then the slope is:

a = (bx - ax)/(by - ay)

In this case, we can see that the line passes through the points:

(1, 3) and (2, 1)

Then the slope is:

a = (1 - 3)/(2 - 1) = -2

y = -2*x + b

In the graph we also can see that the line intersects the y-axis at y = 5, then b = 5.

The line is:

y = f(x) = -2*x + 5.

the inverse function is such that:

g( f(x)) = x

to find the inverse function of a linear equation, we just could isolate x.

y - 5 = -2x

-y/2 + 2.5 = x

Then we could write the inverse function as:

g(x)  = - x/2 + 2.5

Now we need to see which pairs belong to this line. I just will evaluate the function g(x) in different values of x, and see which points belong to the line.

g(9) = -9/2 + 2.5 = -4.5 + 2.5 = -2

(9, -2) belongs to the line.

g(7) = -7/2 + 2.5 = -3.5 + 2.5 = -1

Then (7, -1) belongs to this line.

g(5) = -5/2 + 2.5 = 0

Then the point (5, 0) belong to this line.

We can already see that all these points are in option B, then option B is the correct one.

answer

[tex] {36k}^{2} - 1[/tex]

using identity

[tex](a + b)(a - b) = {a}^{2} - {b}^{2} [/tex]

let a=6k and b=1

we get

[tex](6k + 1)(6k - 1)[/tex]

hope you are satisfied

Answer:

the square root of 5.494 is 2.34

Step-by-step explanation:

The computation of the square root of 5.494 is as follows"

According to the question it is mentioned that

The number is 5.494

Now the square root of the above number is

[tex]\sqrt{5.494}[/tex]

= 2.34

Hence, the square root of 5.494 is 2.34

Therefore the same is to be considered

Answer:

D

Step-by-step explanation:

points (-4,4) and (0,5)

slope: (y2-y1)/(x2-x1)

(5-4)/(0+4) = 1/4

y intercept given: (0,5)

Answer: (5,11)

Step-by-step explanation:

Answer:

k = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The equation of proportionality is

y = kx ← k is the constant of proportionality

To find k use any coordinate point lying on the graph

Using (12, 6 ), then

6 = 12k ( divide both sides by 12 )

k = [tex]\frac{6}{12}[/tex] = [tex]\frac{1}{2}[/tex]

Answer:

I think A but i'm not sure

Step-by-step explanation:

Step-by-step explanation:

2.6% b/c 1820×2.6/100

Answer:

8

Step-by-step explanation:

32/4=8

Answer: 8 minutes

Step-by-step explanation: You can use a proportion to calculate.

[tex]\frac{32}{4} = \frac{x}{1}[/tex]

32 x 1 / 4 = 8

8 minutes = 1 mile

Answer:

A.1

Step-by-step explanation:

I did a check digit calculator and it said that this would be the check digit

The check digit is 1.

Step-by-step explanation:

The check digit on credit is calculated by the following step:

Given:

The creditcard number: 6424 9813 2720 008d

To find :

Check digit,d

Solution:

6424 9813 2720 008d

Marking odd and even places from right side:

(e:even place,o:odd place)

e,o,e,o     e,o,e,o     e,o,e,o     e,o,e,o

6 4 2 4     9 8 1 3     2 7 2 0     0 0 8 d

Multipling every even place digit with '2'.

12,4,18,2,4,4,0,16

If two digit number then add both digits to have single digit

12,4,18,2,4,4,0,16 → 1+2,4,1+8,2,4,4,0,1+6 → 3,4,9,2,4,4,0,7

Now adding all the digits obtained in prevoius step with digits at odd place:

(3+4+9+2+4+4+0+7)+(4+4+8+3+7+0+0)= 59

The next multiply of 10 can be obtained by adding 1 to '59' that is 60. So, the check digit will be'1'.

59+1 = 60

(60 is a multiple of the number '10'.)

The check digit is 1.

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Answer:

See below

Step-by-step explanation:

Statement                                      | Reason                                            

1. m∠A + m∠B + m∠C = 180°         | 1.  Angles in a triangle sum to 180°

2. 28° + x - 4° + 2x = 180°              | 2. Substitution

3. x=(180° - 24°)/3= 156°/3°= 52°   | 3. Algebra

Answer:

Area of the base is 10.5 cm².

Step-by-step explanation:

Formula for the volume of the given oblique prism = Area of the triangular base × Vertical height between two triangular bases

Vertical height = 6 cm

Volume = 63 cm³

From the formula,

63 = Area of the triangular base × 6

Area of the base = [tex]\frac{63}{6}[/tex]

                            = 10.5 cm²

Therefore, area of the base is 10.5 cm².

Answer:

65

85

Step-by-step explanation:

Exactly one of the two requirement

Maths only = 45 - 20 = 25

Science only = 60 - 20 = 40

Exactly one = (25 + 40) = 65

B.) Atleast one :

(25 + 40 + 20) = 85

C) Neither :

140 - 85 = 55

Answer:

Close to 6 miles. Exact is between 5.7 and 6

Step-by-step explanation:

Answer:

no  

Step-by-step explanation:

Answer: Multiply the density with the volume. You get 2418.2 grams or 2.4182 kilograms

Step-by-step explanation:

Answer:

Item B

Step-by-step explanation:

A:

density = mas/volume = 42 g / 2 cm^3 = 21 g/cm^3    

This may be platinum.

B.

density = mass/volume = 87.5 g / 5 cm^3 = 17.5 g/cm^3

This cannot be pure platinum.

C.

density = mass/volume = 147 g / 7 cm^3 = 21 g/cm^3

This may be platinum.

Answer: Item B

Answer:

option 4

Step-by-step explanation:

put like terms on either side

9x + 2a = 3a - 4x

subtract both sides by 2a

9x = a - 4x

add both sides by 4x

13x = a

divide both sides by 13

x = a/13

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Answer:

4.) a/13

Step-by-step explanation:

9x + 2a = 3a - 4x

9x + 4x = 3a - 2a

13x = a

13x/13 = a/13

x = a/13

Answer:

hmmmmmmmmmm i think its inverse operation

Answer:

10x+4 or 2(5x+2)

Step-by-step explanation:

you just add

Answer:

Guide for how to get your answer and your answer

step 1

   Find roots (zeroes) of :       F(x) = x3-9x-7

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  -7.

step 2

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,7

Lets test

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        1.00    

     -7       1        -7.00        -287.00    

     1       1        1.00        -15.00    

     7       1        7.00        273.00

found no rational roots.

(end equation of part 2)  x3 - 9x - 7  = 0

step 4

Solve   x3-9x-7 = 0

We now use the Bisection Method to approximate one of the solutions. The Bisection Method is an iterative procedure to approximate a root (Root is another name for a solution of an equation).

The function is   F(x) = x3 - 9x - 7

At   x=   -3.00   F(x)  is equal to  -7.00

At   x=   -2.00   F(x)  is equal to  3.00

Intuitively we feel, and justly so, that since  F(x)  is negative on one side of the interval, and positive on the other side then, somewhere inside this intervl,  F(x) is zero,

(1) Find a point "Left" where F(Left) < 0

(2) Find a point 'Right' where F(Right) > 0

(3) Compute 'Middle' the middle point of the interval [Left,Right]

(4) Calculate Value = F(Middle)

(5) If Value is close enough to zero goto Step (7)

Else :

If Value < 0 then : Left <- Middle

If Value > 0 then : Right <- Middle

Next Middle will get us close enough to zero:

    F( -0.844759464 ) is  -0.000000848  

    The desired approximation of the solution is:

      x ≓ -0.844759464

0.844759464 is your answer..

Step-by-step explanation:

Answer:

Step-by-step explanation:

Jennifer's bank account is growing at a rate of change 10 as per the given function

William’s bank account is growing at a rate of change 14 as per the table

Jennifer is wrong because 10 < 14

Answer:

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