(MARKING BRAINLIEST) 100 points

Answer:

Step-by-step explanation: Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2" was replaced by "x^2".

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

p*(x)-((2*x^2-9*x+7)*(x-2))=0

STEP

1

:

Equation at the end of step 1

px - (((2x2 - 9x) + 7) • (x - 2)) = 0

STEP

2

:

Trying to factor by splitting the middle term

2.1 Factoring 2x2-9x+7

The first term is, 2x2 its coefficient is 2 .

The middle term is, -9x its coefficient is -9 .

The last term, "the constant", is +7

Step-1 : Multiply the coefficient of the first term by the constant 2 • 7 = 14

Step-2 : Find two factors of 14 whose sum equals the coefficient of the middle term, which is -9 .

-14 + -1 = -15

-7 + -2 = -9 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -7 and -2

2x2 - 7x - 2x - 7

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (2x-7)

Add up the last 2 terms, pulling out common factors :

1 • (2x-7)

Step-5 : Add up the four terms of step 4 :

(x-1) • (2x-7)

Which is the desired factorization

Equation at the end of step

2

:

px - (2x - 7) • (x - 1) • (x - 2) = 0

STEP

3

:

Equation at the end of step 3

px - 2x3 + 13x2 - 25x + 14 = 0

STEP

4

:

Solving a Single Variable Equation:

4.1 Solve px-2x3+13x2-25x+14 = 0

In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.

We shall not handle this type of equations at this time.

Supplement : Solving Quadratic Equation Directly

Solving 2x2-9x+7 = 0 directly

Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula

Parabola, Finding the Vertex:

5.1 Find the Vertex of y = 2x2-9x+7

Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 2 , is positive (greater than zero).

Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.

Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.

For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is 2.2500

Plugging into the parabola formula 2.2500 for x we can calculate the y -coordinate :

y = 2.0 * 2.25 * 2.25 - 9.0 * 2.25 + 7.0

or y = -3.125

Parabola, Graphing Vertex and X-Intercepts :

Root plot for : y = 2x2-9x+7

Axis of Symmetry (dashed) {x}={ 2.25}

Vertex at {x,y} = { 2.25,-3.12}

x -Intercepts (Roots) :

Root 1 at {x,y} = { 1.00, 0.00}

Root 2 at {x,y} = { 3.50, 0.00}

3 Solving 2x2-9x+7 = 0 by the Quadratic Formula .

According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :

- B ± √ B2-4AC

x = ————————

2A

In our case, A = 2

B = -9

C = 7

Accordingly, B2 - 4AC =

81 - 56 =

25

Applying the quadratic formula :

9 ± √ 25

x = —————

4

Can √ 25 be simplified ?

Yes! The prime factorization of 25 is

5•5

To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).

√ 25 = √ 5•5 =

± 5 • √ 1 =

± 5

So now we are looking at:

x = ( 9 ± 5) / 4

Two real solutions:

x =(9+√25)/4=(9+5)/4= 3.500

or:

x =(9-√25)/4=(9-5)/4= 1.000

I think it is the first one

Answer:

Keep it simple: part one. D, part two. C

Step-by-step explanation:

Answer:

8hrs

Step-by-step explanation:

[tex] \frac{24}{3} \\ \\ [/tex]

Based on the information given, the number of hours that will be used will be 8 hours.

From the information given, the company estimates that a power line repair job will take a total of 24 person-hours and 3 workers are assigned to the job.

Therefore, the number of hours that will be used will be:

= 24 hours / 3

= 8 hours

Learn more about division on:

https://brainly.com/question/4320580

Answer: 2 inches

Step-by-step explanation:

1 foot=12 inches

1/6=1/6 foot

12/6=2 inches in 1/6 foot

Answer:

I'm pretty sure its the 3rd answer

Answer:C

Step-by-step explanation:

For every white square there is 3 blue squares, so you look around the white swuare and around each white square is 3 blue squares

Answer:

A). Lourdes dog gained weight in more months than it lost weight because there are more positive numbers then negative numbers

Answer:

Her raise per hour is $3.

Step-by-step explanation:

Quadratic Equation

The standard representation of a quadratic equation is:

[tex]ax^2+bx+c=0[/tex]

where a,b, and c are constants.

It can be solved by using the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

Jill asks for an increase in the hourly wage she receives. Since she works in a Maths Center, the increase comes as a maths equation.

She must solve the equation:

[tex]x^2-6x+9=0[/tex]

The solution to the equation is the increase in her hourly wage.

Comparing with the general form, we have a=1, b=-6, c=9. Thus, the solutions are:

[tex]\displaystyle x=\frac{-(-6)\pm \sqrt{(-6)^2-4(1)(9)}}{2(1)}[/tex]

[tex]\displaystyle x=\frac{6\pm \sqrt{36-36}}{2}[/tex]

[tex]\displaystyle x=\frac{6\pm \sqrt{0}}{2}[/tex]

Since the square root is 0, there is only one solution:

[tex]\displaystyle x=\frac{6}{2}=3[/tex]

x = 3

Thus, her raise per hour is $3.

Answer:

2 9/12 and 2 11/12

Step-by-step explanation:

if that is what u are asking. simplist form is 2 3/4 and 2 11/12.

Hope that helps and good luck :)

Answer:

30%

Step-by-step explanation:

3.25 minus 2.50 equals 0.75. 0.75 is 30 percent of 2.50.

Answer:

2 and 5............................

Answer:

Yes. 2 & 5 / 4 & 8 / 1 & 6 / 3 & 7 (Choose one yourself)

Step-by-step explanation:

Corresponding angles are angles that have one angle outside a pair of parallel lines and one angle within it and they are equal to each other.

Answer:

let the wages of men and boys be x and y respectively

then

5x+6y = 114

7x + 8y = 157

multiplying equation first by  4 and second by three and subtracting equations

20x + 24y = 456

21x + 24y =471

-x = -15

x= 15 men wages

substituting value of x in equation

5x + 6y = 114

5*15 + 6y = 114

6y = 114 -75

6y = 39

y = 6.5 each boys wages

Step-by-step explanation:

Answer:

The standard form of the given equation is f(x) =  0x²-4x+15=0

Step-by-step explanation:

The standard form  is ax²+bx+c=0

Given f(x) = -4(x-2)+ 7

   we can write the standard form

                     =  0x² -4(x-2)+7 =0

                   ⇒   0x² -4x +8 +7 =0

                   ⇒   0x² -4x + 15 =0

now comparing the standard form ax²+bx+c=0

                      a = 0 , b= -4 and c =15

Answer:

2[tex]\frac{9}{25}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

Karim Corp. requires a minimum $8,600 cash balance. Loans taken to meet this requirement cost 1% interest per month (paid monthly). Any excess cash is used to repay loans at month-end. The cash balance on July 1 is $9,000, and the company has no outstanding loans. Forecasted cash receipts (other than for loans received) and forecasted cash payments (other than for loan or interest payments) follow. Cash receipts Cash payments July $ 24,600 28,900 August $32,600 30,600 September $ 40,600 32,600 Prepare a cash budget for July, August, and September. (Negative balances and Loan repayment amounts (if any) should be indicated with minus sign. Round your final answers to the nearest whole dollar.) KARIM CORP. Cash Budget For July, August, and September July August $ 9,000 September Beginning cash balance Total cash available Preliminary cash balance Ending cash balance Loan balance $ 0 Loan balance - Beginning of month Additional loan (loan repayment) Loan balance - End of month

Answer:

1. Their ages are:

Steve's age = 18

Anne's age = 8

2. Their ages are:

Max's age = 17

Bert's age = 11

3. Their ages are:

Sury's age = 19

Billy's age = 9

4. Their ages are:

The man's age = 30

His son's age = 10

Step-by-step explanation:

1. We make the assumption that:

S = Steve's age

A = Anne's age

In four years, we are going to have:

S + 4 = (A + 4)2 - 2 = 2A + 8 - 2

S + 4 = 2A + 6 .................. (1)

Three years ago, we had:

S - 3 = (A - 3)3

S - 3 = 3A - 9

S = 3A - 9 + 3

S = 3A – 6 …………. (2)

Substitute S from (2) into (1) and solve for A, we have:

3A – 6 + 4 = 2A + 6

3A – 2A = 6 + 6 – 4

A = 8

Substitute A = 8 into (3), we have:

S = (3 * 8) – 6 = 24 – 6

S = 18

Therefore, we have:

Steve's age = 18

Anne's age = 8.

2. We make the assumption that:

M = Max's age

B = Bert's age

Five years ago, we had:

M - 5 = (B - 5)2

M - 5 = 2B - 10 .......................... (3)

A year from now, it will be:

(M + 1) + (B + 1) = 30

M + 1 + B + 1 = 30

M + B + 2 = 30

M = 30 – 2 – B

M = 28 – B …………………… (4)

Substitute M from (4) into (3) and solve for B, we have:

28 – B – 5 = 2B – 10

28 – 5 + 10 = 2B + B

33 = 3B

B = 33 / 3

B = 11

If we substitute B = 11 into equation (4), we will have:

M = 28 – 11

M = 17

Therefore, their ages are:

Max's age = 17

Bert's age = 11.

3. We make the assumption that:

S = Sury's age

B = Billy's age

Now, we have:

S = B + 10 ................................ (5)

Next year, it will be:

S + 1 = (B + 1)2

S + 1 = 2B + 2 .......................... (6)

Substituting S from equation (5) into equation (6) and solve for B, we will have:

B + 10 + 1 = 2B + 2

10 + 1 – 2 = 2B – B

B = 9

Substituting B = 9 into equation (5), we have:

S = 9 + 10

S = 19

Therefore, their ages are:

Sury's age = 19

Billy's age = 9.

4. We make the assumption that:

M = The man's age

S = His son's age

Therefore, now, we have:

M = 3S ................................... (7)

Five years ago, we had:

M - 5 = (S - 5)5

M - 5 = 5S - 25 ................ (8)

Substituting M = 3S from (7) into (8) and solve for S, we have:

3S - 5 = 5S – 25

3S – 5S = - 25 + 5

-2S = - 20

S = -20 / -2

S = 10

Substituting S = 10 into equation (7), we have:

M = 3 * 10 = 30

Therefore, their ages are:

The man's age = 30

His son's age = 10

Answer:

−

3

(

1

+

4

)

=

3

3

Step-by-step explanation:

Answer:

1: -3

2: 24

3: 10

4: 5

5: -7

6: 8

7: 2

Step-by-step explanation:

hope this helps:)

Step-by-step explanation:

4 different vehicles,

2 different paints,

2 different seats.

Total number of combinations = 4 * 2 * 2 = 16.

Answer:

y=x-2

Hope this helps.

y inter y = 4x - 9. X inter y =4x - 9

y = 4[0] -9. y = 4x - 9

y= -9. 9 ÷ 4 = 4x ÷ 4

x = 2 ¼

y inter y =2x + 5. X inter y =2x + 5

y =2x + 5. y=2x + 5

y =2[0] +5. -5 ÷2 =2x ÷2

y=>5. X= 2½

Answer:

2

Step-by-step explanation:

[tex]\frac{3x}{4}[/tex] = [tex]\frac{3}{2}[/tex]

cross-multiply: 6x = 12

x = 2

Answer:

2 cabinets

Step-by-step explanation:

In 3/4 hour he builds 1 1/2 cabinets.

1/4 hours is 1/3 of 3/4 hour.

In 1/4 hour he builds 1/3 of 1 1/2 cabinets which is half a cabinet.

In 1 hour he builds 4 times what he builds in 1/4 hour, 4 * 1/2 cabinet = 2 cabinets.

Answer: 2 cabinets

Answer:

75.23=10.27x

Step-by-step explanation:

x will represent how many months Luis will save and it will equal 75.23. To find the value of x, divide 10.27 on both sides and get x=7.32. That means Luis will need to earn 10.27 for 7.32 months to get Jordans.

because it is a good answer

Answer: i think they are all the exact same 6 with a remainder of 1

Step-by-step explanation:

Answer:

-6

Step-by-step explanation: