The expression ( x 22 )( x 7 )3 is equivalent to xp. What is the value of p ?

Answer:

(x-4)(5x³+18x²+54x+215)+860

Step-by-step explanation:

This follows that when the fourth degree polynomial is divided by the monomial(x-4),it gives a third degree polynomial and some remainder r

That is:

5x⁴-2x³-18x²-x/x-4=(ax³+bx²+cx+d)+r

if so,then

5x⁴-2x³-18x²-x=(x-4)(ax³+bx²+cx+d)+r

5x⁴-2x³-18x²-x=ax⁴+bx³+cx²+dx-4ax³-4bx²-4cx-4d+r

5x⁴-2x³-18x²-x=ax⁴+x³(b-4a)+x²(c-4b)+x(d-4c)-4d+r

We can now equate the similar terms thus,the terms with the same power of x on both sides

5x⁴=ax⁴,a=5

Again,

b-4a=-2,but a=5

b-4(5)=-2

b-20=-2

b=18

Again,

c-4b=-18(but b=18)

c-4(18)=-18

c-72=-18

c=54

Again,

d-4c=-1(but c=54)

d-4(54)=-1

d-216=-1

d=215

Finally,

-4d+r=0(but d=215)

-4(215)+r=0

r-860=0

r=860

This means that when 5x⁴-2x³-18x²-x is divided by x-4,it gives5x³+18x²+54x+215 with a remainder of 860

Now rewriting it in the form as required by the question=(x-4)(5x³+18x²+54x+215)+860

Answer:

5001

PewDiePie

both!!

rblx, since there r similar games like mincraft in it lol

Answer:I want brainlest,5001 SUPA HARD pewdiepie (i subed)

I prefer minecraft i like both

Step-by-step explanation:

Not sure if thats what u wanted lol :D

Answer:

[tex]x = 30^{\circ}[/tex]

Step-by-step explanation:

Given

Parallel lines A and B

Required

Determine the value of x

From the attachment, 2x and 4x are consecutive interior angles and the theorem of consecutive interior angles is that:

[tex]2x + 4x = 180[/tex]

Solving further, we have:

[tex]6x = 180[/tex]

Divide both sides by 6

[tex]\frac{6x}{6} = \frac{180}{6}[/tex]

[tex]x = \frac{180}{6}[/tex]

[tex]x = 30^{\circ}[/tex]

Answer:

A linear equation is of the form:

y = a*x + b

Where a and b are real numbers, and we only have one term with x, and no powers of x larger than 1.

Let's rearrange all the given options to see if they take this form. I will isolate x for all of them.

a) 2x + 5y = 13

5y = -2*x + 13

y = (-2/5)*x + 13/5

(this is a linear equation)

b) -x^2 = 3y + 10

 -3*y = x^2 + 10

y = (-1/3)*x^2 + 10/3

(this is not a linear equation)

c) 3(2x + y) = 14

 6x + 3y = 14

 3y = 14 - 6x

y = (-6/3)*x + 14/3

(this is a linear equation)

d) y = 13 - 2*x^2

(this is not a linear equation, we have a x^2 there)

e) 2 = y + x^5

-y = x^5 - 2

(this is not a linear equation, we have a x^5 there)

f) y = x + 7

we can rewrite this as:

y = 1*x + 7

(this is a linear equation)

Answer:

i just wanted to say, that I took the test and A and F are correct, but C (the person above me says C is correct) is not correct

Step-by-step explanation:

Given :

June's mother was 29 when June was 5 years old.

To Find :

How old will June be when she is one-quarter her mother's age.

Solution :

Let, age of June when she is one-quarter her mother's age is x and mother's age is y.

So, y = 4x   ...1)

Also, we know that difference between two person's age is constant.

So, y - x = 29-5

y - x = 24    ...2)

Solving equation 1 and 2, we get :

[tex]4x -x = 24\\\\3x = 24\\\\x = 8[/tex]

y = 32

Therefore, June will be 8 years old when is one-quarter her mother's age.

Answer:

(-3/2, -11/2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define Systems

y = x - 4

y = 4x + 2

Step 2: Solve for x

Substitution

Step 3: Solve for y

Answer by Khan Academy:

x=−2

y=−6

​ Hope This Helped Everyone

Step-by-step explanation:

Answer:

11:37.02 pm

Step-by-step explanation:

11:59 pm - 21:58 minutes = 11:37.02 pm

Answer:

HI

Step-by-step explanation:

In a triangle, the length size of each side corresponds to the size of the degree of the angle opposite it.

This means, the biggest angle would be opposite the side with the longest length, while the angle with the least degree will be opposite the side that is the smallest.

In ∆HIJ, the least angle measure is <J (54°).

Side length opposite to <J is HI.

Therefore the smallest side of ∆HIJ is HI

Answer:

74

Step-by-step explanation:

its easy so you add 23 and 51 and you got the answer.

Answer:

4+4+x+3-4=12

8+x-1=12

7+x=12

x=12-7

=5

answer is 5

Answer:

x=3

y=4

Step-by-step explanation:

I'm using 3x+y=13 to find y, then plug y into the second equation.

y= -3x+13

5x-2(-3x+13)=7

find x.

5x+6x-26=7

11x=33

x=3

now plug x into 3x+y=13(you could do it with the other equation too)

3(3)+y=13

y=13-9

y=4

The value of x and y is 3, and 4 respectively by the substitution method.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have a system of equations;

3x +y=13 ...(1)

5x-2y=7​ ...(2)

By using the substitution method.

[tex]\rm 5\cdot \dfrac{13-y}{3}-2y=7[/tex]

y = 4

Plug y = 4 in equation (1)

3x + 4 = 13

x = 3

Thus, the value of x and y is 3, and 4 respectively by the substitution method.

Learn more about the linear equation here:

brainly.com/question/11897796

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Answer:

I believe the answer would be

Step-by-step explanation:

a graph that goes up and then is a straight line then it goes down.

In other words the graph would be A.

Answer:

A

Step-by-step explanation:

Step-by-step explanation:

12x-3y+z＝-7 ‖-12x+3y

z＝-7-12x+3y

so you can replace z with (-7-12x+3y)

4y+3*(-7-12x+3y)＝-7

4y+(-21-36x+9y)＝-7

13y-21-36x＝-7 ‖+21

13y-36x＝14 ‖-13y

-36x＝14-13y ‖*(-1)

36x＝-14+13y ‖/3

12x＝-14/3+13/3y

so-6x＝+14/6-13/6y

(+14/6-13/6y)+2y-2*(-7-(-14/3+13/3y)+3y)＝12

(+14/6-13/6y)+2y+14-28/3+26/3y-6y＝12

(+14/6-13/6y)+2y+14-56/6+52/6y-6y＝12

7+2.5y＝12 ‖-7

2.5y＝5 ‖/2.5

y＝2

so

4y+3z＝-7

4*2+3z＝-7

8+3z＝-7 ‖-8

3z＝-15 ‖/3

z＝-5

12x-3*2+(-5)＝-7

12x-6-5＝-7

12x-11＝-7 ‖+11

12x＝4 ‖/12

x＝1/3

Answer:

This is the sample answer:

The new histogram shows that 7 trucks have a fuel efficiency of 10 to 14 miles per gallon. It’s also possible to see that the shape of the data is skewed right.

Step-by-step explanation:

Answer:

16/12

Step-by-step explanation:

SOHCAHTOA

TOA - tan theta = Opposite/ Adjacent

Tan theta = 16/12

= 16/12

if you were told to find theta, then

tan inverse ( 16/12)

theta will be 53.13 degrees

The tangent of the given right angle triangle is [tex]\frac{16}{12}[/tex].

A right angle triangle is a triangle in which one of the three angles is a right angle.

"In any right angle triangle, the tangent of an angle is the length of the opposite side (O) divided by the length of the adjacent side (A). In a formula, it is written simply as 'tan'."

Given, Base of the right angle triangle is = 12.

The height of the right angle triangle is = 16.

The hypotenuse of the right angle triangle is = 20.

The angle between the base of the triangle and the hypotenuse is = θ.

Now,  tan θ

[tex]= \frac{Height}{Base}\\= \frac{16}{12}[/tex]

Therefore, tan θ of the given right angle triangle is  [tex]\frac{16}{12}[/tex].

Learn more about the tangent of a right angle triangle here: https://brainly.com/question/3770177

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Answer:

22%

Step-by-step explanation:

You just subtract the numbers

Answer:

64%

Step-by-step explanation:

To find a percent, you have to divide the new cost by the original cost, then multiply the answer by 100.

(32/50)*100

= 0.64 * 100

= 64%

Answer:

x+16=4x-5

16+5=3x

21=3x

21/3=x

x=7

Answer:

12.5%

Step-by-step explanation:

4 * 100 / 32 = 12.5

w=2

Step-by-step explanation:

-w=-10+4w

10=4w+w

10=5w

10/5=w

2=w

Answer:

2,206 yards

Step-by-step explanation:

To find how many yards there are, we can divide by 3.

6618 / 3 = 2206

Best of Luck!

Answer:

6,618 feet is 2,206 yards.

Step-by-step explanation:

Answer:

Total tax = $25.51

Step-by-step explanation:

Total collection = $1265.23

Tax-Free amount =  $840

so

Taxable amount = $1265.23 -  $840

                            = $425.23

Given that the taxable amount was taxed at 6%

Thus,

The total tax = 6% of 425.23

                     = 6/100 × 425.23

                     = 0.06 × 425.23

                      = $25.51

Therefore,

Answer:

x=27 km

Step-by-step explanation:

Make an equation 2/.015=3600/x

Multiply 3600 by .015 to get 54

Divide 54 by 2 to get 27.

9514 1404 393

Answer:

  27 km/h

Step-by-step explanation:

(15 m)/(2 s) = (15 m)/(2 s)×(1 km)/(1000 m)×(3600 s)/(1 h)

  = (15×1×3600)/(2×1000×1) km/h = 15×1.8 km/h = 27 km/h

Answer:

180

Step-by-step explanation:

Answer:

0.375 and 37.5%

Step-by-step explanation:

3/8 = 0.375

0.375*100=37.5%

Answer:

Given

Solving for x

Both sides are equal, any value of x is a solution, so infinitely many solutions

Step-by-step explanation:

[tex]5(2x - 3) = x - 15 + 9x \\ 10x - 15 = 10 x - 15[/tex]

Both the sides are equal

Hence no specific value of x

Therefore, x has infinite value.

Answer:

C. (4, -8)

Step-by-step explanation:

To reflect a point over a straight horizontal line, start from the original point and count how many units it takes to reach that line (going vertically). Keep that number in mind. Then, at that same point on the line, go vertically again and count that many units going away from the line. The point where you stop would be the reflected point.

In this case, starting from (4, 8) and then going down towards the x-axis would take 8 units. Taking that number and counting another 8 units down would land you at (4, -8). Therefore, (4, -8) is the answer.

Please look at the attached image for a clear visual explanation.