Help Me Find The Inequality of the graph ​

Answer:

[tex]a = -6, b = - 8[/tex]

Remaining factor = [tex]x+4[/tex]

Step-by-step explanation:

Given that:

Two polynomials:

[tex]x^{2} -x-2[/tex] and [tex]x^3 +3 x^2 +ax +b[/tex]

[tex]x^{2} -x-2[/tex] is a factor of [tex]x^3 +3 x^2 +ax +b[/tex].

To find:

The values of [tex]a[/tex] and [tex]b[/tex] from the cubic equation and the remaining factor.

Solution:

Let us first of all, factorize [tex]x^{2} -x-2[/tex].

[tex]x^{2} -2x+x-2=0\\\Rightarrow x(x-2)+1(x-2)=0\\\Rightarrow (x+1)(x-2)=0\\\Rightarrow x = -1, 2[/tex]

There are two factors of the given quadratic equation.

These two factors must also be factors of the cubic equation as well.

Putting [tex]x = 2[/tex]:

[tex]2^3 +3 \times 2^2 +a\times 2 +b =0\\\Rightarrow 2a+b=-20 ..... (1)[/tex]

Putting [tex]x = -1[/tex]:

[tex](-1)^3 +3 \times (-1)^2 +a\times (-1) +b =0\\\Rightarrow -a+b=-2 ..... (2)[/tex]

Subtracting (2) from (1):

[tex]3a = -18\\\Rightarrow a = -6[/tex]

From equation (1):

[tex]2\times (-6) + b=-20\\\Rightarrow b = -8[/tex]

Putting the values of [tex]a[/tex] and [tex]b[/tex] in the cubic equation, we get:

[tex]x^3 +3 x^2 -6x -8[/tex]

Dividing the cubic equation with quadratic, we get:

[tex]\dfrac{x^3 +3 x^2 -6x -8}{x^{2} -x-2} = x+4[/tex]

Answer: See explanation

Step-by-step explanation:

Number of red marbles = 42

Number of blue marbles = 36

Total number of marbles = 42 + 36 = 78

There are 21 odd numbers between 1 - 42.

There are 18 odd numbers between 1 - 36.

(a) Probability that the marble is red will be:

P(red)= 42 / 78 = 7 / 13

(b) Probability that the marble is odd-numbered will be:

= 39 / 78 = 1/2

(c) Probability that the marble is red or odd-numbered will be:

P(red or odd) = P(red) + p(odd) - P(odd and red)

= (42/78) + (39/78) - (21/78)

= 60/78

= 10/13

(d) Probability that the marble is blue or even-numbered.

= P(blue) + P(even) - P(blue and even)

= 36/78 + 39/78 - 18/78

= 57/78

= 19/26

Complete question :

i put $100 in a savings account at v% yearly interest. How much money will i have in my account at the end of the year

Answer:

100 + v

Step-by-step explanation:

Given that:

Interest yearly = v%

Amount deposited = principal = $100

Amount earned at the end of the year:

A = P(1 + rt)

A = 100(1 + 0.01v)

A = 100 + v

Where A = final amount

Final amount at the end of the year = 100 + v

Answer:

8

Step-by-step explanation:

AB=DC

BC=AD

BA=CD

CB=DA

Answer:

Step-by-step explanation:

4.1-1.25=2.85

lets divide

2.85/0.005=570

Answer:

2.85/0.005=570

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

$1,200

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

because it is going up by 6 so graph B is the only graph going up by 6.

The  correct graph is with $6, $12, $18, $24.

The graph is simply a structured representation of the data. It aids in our comprehension of the data. The numerical information gathered through observation is referred to as data.

In a line graph, the information or data is represented as a series of markers, or dots, and is then connected to one another by a straight line.

Usually, data that varies over time is represented with a line graph.

Given:

As, from the given graph

The saving increases each week at the same rate therefore saving increases from 3rd to 4th week is 6$. this means that saving increases $6 each week.

Hence, option to is correct with $6, $12, $18, $24.

Learn more about graph here:

https://brainly.com/question/17267403

#SPJ6

Answer:

a) He substituted 0.8 instead of 0.08.

b) $264

Step-by-step explanation:

Answer:

Four

Step-by-step explanation:

29 plus 7 = 36 divided by 4= 9

Answer:

C (37, 77)

Step-by-step explanation:

[tex]291=2(145)+3\\\\291=290+3\\\\\boxed{291\neq 293}[/tex]

Option A is not a solution.

[tex]163=2(78)+3\\\\163=156+3\\\\\boxed{163\neq 159}[/tex]

Option B is not a solution.

[tex]77=2(37)+3\\\\77=74+3\\\\\boxed{77=77}[/tex]

Option C is a solution.

Hope this helps.

Answer:

C

Step-by-step explanation:

To determine which point is a solution, substitute the x- coordinate into the equation and if the value is equal to the y- coordinate then it is a solution

A (145, 291 )

y = 2(145) + 3 = 290 + 3 = 293 ≠ 291 ← not a solution

B (78, 163 )

y = 2(78) + 3 = 156 + 3 = 159 ≠ 163 ← not a solution

C (37, 77 )

y = 2(37) + 3 = 74 + 3 = 77 ← solution to the equation

Answer: The answer is C on edge

Step-by-step explanation:

Answer:

56.25 minutes

Step-by-step explanation:

1 mile is 6.25 minutes

9 miles is _____?

6.25 minutes x 9 miles =

56.25 minutes

Find Unit Rate to help solve

Hope this helps :)

Answer:

-19

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define Expression

3² + (9 - 16)(4)

Step 2: Evaluate

Answer:

Step-by-step explanation:

BODMAS=bracket

O=of

D=division

M=multiplication

A=addition

S=subtraction

3*3=9

9+(9-16)(4)

9+(7)(4)

9-28

-19

Answer:

The change in momentum is: 60 N.s

Step-by-step explanation:

By Newton's second law:

F = ∆p / ∆t

Given that

Using the formula to determine the change in momentum

F = ∆p / ∆t

∆p = F × ∆t

     = 12 × 5

      = 60 N.s

Therefore, the change in momentum is: 60 N.s

Answer:

A.  $5

B.  $7

C.  $40

D.  $4

Step-by-step explanation:

To find the unit rate, you need to divide the cost by the amount.

A.  $25/5 = $5 for a movie ticket

B.  $35/5 = $7 for one yard

C.  $240/6 = $40 for a calculator

D.  $8/2 = $4 for a can of tuna

Answer:

-8m

Step-by-step explanation:

Combine like terms

−

−

7

{\color{#c92786}{-m}}{\color{#c92786}{-7m}}

−m−7m

−

8

{\color{#c92786}{-8m}}

−8m

Answer:

82.8

Step-by-step explanation:

Formula

multiply the length value by 36

Answer:

y = 3 /7 x − 17 /7

Step-by-step explanation:

7x+4y-28=0 is the answer

Answer:

B

Step-by-step explanation:

If a point is on the line of origin it doesn't count as being in any quadrant.

Answer:

1. x= 10x6-9 Sherry is 51 apparently

2. $71.40

Step-by-step explanation:

Answer:

A and C

Step-by-step explanation:

Answer:

8%

Step-by-step explanation:

1% of 750 is 7.50

So 60 divided by 7.5 is 8

Answer:b

Step-by-step explanation:

Answer:

i need more info or i cannot help

Answer: -1

Step-by-step explanation:Solve: 8(7−x)<64.Divide both sides by 8.7−x<6487−x<8Subtract 7 from both sides.−x<8−7−x<1Multiply both sides by −1. This will reverse the inequality.x>−1

Answer: The answer is 7-b=-y

Step-by-step explanation: You subtract b from one side to the other, and then do the same with y