What is the difference of the polynomials?
(x² + x³ + x² + x) - (x²-x³+x²-x)
© 2x2
O 2x³+2x
O x6 +x²
O 2x5+2x²

Answers

Answer 1

Answer:

2x³ + 2x

Step-by-step explanation:

(x² + x³ + x² + x) - (x² - x³ + x² - x)

= x² + x³ + x² + x - x² + x³ - x² + x

Gathering like terms...

x³ + x³ +x² + x² -x² - x² + x + x

= 2x³ + 2x

Answer 2

The difference of the polynomials is 2(x³+x).

What is a polynomial?

A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables.

Given are two polynomials (x² + x³ + x² + x) and (x²-x³+x²-x), we need to find the difference,

So,

(x² + x³ + x² + x) - (x²-x³+x²-x)

= x² + x³ + x² + x - x²+x³-x²+x

= 2x²-2x²+x³+x³+x+x

= 2x³+2x

= 2(x³+x)

Hence the difference of the polynomials is 2(x³+x).

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Related Questions

Jej pls help i need help thank you

Answers

Answer:

Largest total : [tex]\mathsf {\frac{69}{20}}[/tex]

Smallest total : [tex]\mathsf {\frac{121}{40} }[/tex]

Step-by-step explanation:

Finding the largest total :

The greatest 2 numbers are 7/4 and 1 7/10⇒ 7/4 + 1 7/10⇒ 7/4 + 17/10⇒ 35/20 + 34/20⇒ 69/20

Finding the smallest total :

⇒ 1 3/8 + 33/20⇒ 11/8 + 33/20⇒ 55/40 + 66/40⇒ 121/40

Answer:

Largest Totals : 69/20

Smallest Totals : 121/40

Step-by-step explanation:

Given:

Charlie adds together two of his four number cards. Find the largest and smallest totals that Charlie can make. Give your answers as improper fractions in their simplest form.  

Solve:

First let change all to improper fractions:
7/4      {already a improper fractions}

1 3/8  = 11/8

1 7/10 = 17/10

33/20       {already a improper fractions}

Thus we have:

7/4

11/8

17/10

33/20

According to the solving above ,

⇒ 70/40 , 55/40, 68/40, 66/40

⇒ 70/40 > 68/40 > 66/40 > 55/40

⇒ 7/4 > 1 7/10 > 33/20 > 1 3/8

⇒ Largest Totals : 7/4 + 1 7/10 = 69/20 = 3 9/20

⇒ Smallest Totals : 33/20 + 1 3/8 = 121/40 = 3 1/40

Since, it says given your answers as improper fractions in their simplest form:

Thus,

Largest Totals : 69/20

Smallest Totals : 121/40

RevyBreeze

Using the basic identities, find the value of cosΘ if cotΘ = -12/5.

Answers

Step-by-step explanation:

please mark me as brainlest

The image of ABC is A'B'C. What transformations would result in this image?


ABC is rotated 180° around the origin, then T: ( x, y) → ( x - 1, y - 1).

ABC is reflected over the line x = 1, then is reflected over the line y = -1.

ABC is rotated -90° around the point, then T: ( x, y) → ( x + 5, y + 3).

ABC is rotated -90° around the origin, then T: ( x, y) → ( x + 5, y - 1).

(multi choice)

Answers

Triangle ABC was rotated 90° around the point, then translated using the rule (x, y) → ( x + 5, y + 3) to form triangle A'B'C'.

What is transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, rotation and translation.

Triangle ABC was rotated 90° around the point B, then translated using the rule (x, y) → ( x + 5, y + 3) to form triangle A'B'C'.

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What is the solution to –2(8x – 4) < 2x + 5?

x > x is greater than StartFraction 1 Over 6 EndFraction.
x < x is less than StartFraction 1 Over 6 EndFraction.
x > 6
x < 6

Answers

The solution to the inequality, -2(8x – 4) < 2x + 5, is: B. x > 1/6.

How to Find the Solution of an Inequality?

To find the solution to an inequality, solve the inequality to isolate the variable.

Given the inequality, -2(8x – 4) < 2x + 5, open the bracket:

-16x + 8 < 2x + 5

Combine like terms

-16x - 2x < -8 + 5

-18x < -3

Divide both sides by -18 then reverse < to >

-18x/-18 > -3/-18

x > 1/6

The solution is: B. x > 1/6

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What is the approximate area of the circle shown below?
60 cm C
A. 11,310 cm²
B. 94 cm²
C. 2827 cm²
D. 188 cm²

Answers

C because the formula to find the are of a circle is A=(pi) * radius^2. To find the radius from diameter, just divide by two. So 60/2= 30 so now you can just plug in and 30 * 30 is 900 and 900 * pi, or 3.1415926535, is about 2827
2827 should be the answer because of the area it is showing

A, B and C are the vertices of a triangle.
A has coordinates (1,4)
B has coordinates (3, 0)
C has coordinates (-3,-2)
D is the midpoint of AB.
E is the midpoint of AC.
Prove that DE is parallel to BC.
You must show each stage of your working.

PLEASE HELP ASAP THANK YOU

Answers

Answer:

see below

Step-by-step explanation:

To find the coordinates of the midpoints, add the x's and divide by 2 and add the y's and divide by 2.

The coordinates of D, the midpoint of AB, (1+3)/2 will be the x-coordinate and (4+0)/2 will be the y-coordinate.

D (2,2)

You could also see this on a graph, see image.

E, the midpoint of AC has the x-coordinate (1+-3)/2, which is -1 and y-coordinate (4+-2)/2 which is 1.

E is (-1,1)

Then we are able to calculate the slope of DE and BC.

To calculate slope, subtract the y's and put that on top of a fraction and subtract x's and put that on the bottom of a fraction. If the slopes are the same the segment are parallel.

Slope of DE:

(2-1)/(2--1)

= 1/3

Slope of BC:

(0--2)/(3--3)

=2/6

=1/3

The slopes of BC and DE are equal, so the segments are parallel.

(Alternatively, you could show that Triangle ABC and Triangle ADE are similar. Then find the segments parallel because corresponding angles are congruent.)

Here is a list of numbers: 3.9 , 7 , 3.3 , 1 , 1.4 , 1.7 , 2.1 , 3.3 , 5.2 State the median. Give your answer as a decimal.

Answers

A median.

The "middle" of a sorted list of numbers. To find the Median, place the numbers in value order and find the middle number.

When there are two middle numbers we average them.

We have:

3.9, 7, 3.3, 1, 1.4, 1.7, 2.1, 3.3, 5.2

Let's sort the numbers from the smallest to the largest

1, 1.4, 1.7, 2.1, 3.3, 3.3, 3.9, 5.2, 7

The median is 3.3

Answer:

3.3

Step-by-step explanation:

The first thing you have to do is put them in order from least to greatest.

1, 1.4, 1.7, 2.1, 3.3, 3.3, 3.9, 5.2, 7

Check off one from the left side and one from the right side until you are left with the one in the middle.

When you do that, you are left with 3.3

In triangle QRS, angle Q measures 33.7°, angle R measures 52.3°, and angle S measures 94°. Based on the information that is provided, which could be a correct set of sides for this set of angles?
side QR = 7 cm , side RS = 10 cm , side QS = 12.6 cm
side QR = 10 cm, side RS = 7 cm, side QS = 12.6 cm
side QR = 12.6 cm, side RS = 10 cm, side QS = 7 cm
side QR = 12.6 cm, side RS = 7 cm, side QS = 10 cm

Answers

Answer:

side QR = 12.6 cm, side RS = 7 cm, side QS = 10 cm

Step-by-step explanation:

The side opposite to biggest angle is the longest side

         In ΔQRS,

∠S > ∠R > ∠Q

∠S is the biggest and ∠ Q is the smallest angle.

So, the side opposite to ∠S, QR is the longest side and the side opposite o ∠Q , RS is the smallest side.

QR > QS > RS

QR = 12.6 cm  ; QS = 10 cm and  RS = 7 cm


PLEASE HELP !! In this table, the input and output values are
related. If you know the input, you can predict
the output. Which rule describes how the
output depends on x?
Click on the correct answer.

10x² +7
10x + 7
7x + 10

Answers

Answer:10X^2 +7

Step-by-step explanation:

Hhfghhjhhhhhhhhhsnkusbuwb(6272$2?3);!$$?:

If ABCD is dilated by a factor of, the
coordinate of A' would be:
C
3
2
1
B
-4 -3 -2 -10
3 4 5 6 7
8 9 10 11
-1
-2
3
A
D
A' = ([?], [ ])
T
ת
2

Answers

Answer:

(-1, -1)

Step-by-step explanation:

Assuming the dilation is centered at the origin, we can multiply each of the coordinates by the scale factor.

This gives A'(-1, -1)

The steps to simplify the expression -100 ÷ 3 x (-0.6) are shown.

Answers

Answer:

That is the answer for you step 2

If x + y = 2 and x - y = 6, solve for x and y.

Answers

Answer:

Step-by-step explanation:

Givens

x + y = 2

x - y = 6

Solution

Just add the two equations together. The y's will drop out.

x + y = 2

x - y = 6             Add

2x = 8                 Divide by 2

2x/2 = 8/2          Combine

x = 4                   Substitute x = 4 into the top equation

x + y = 2

4 + y = 2             Subtract 4 from both sides

4-4+y=2-4          Combine

y = - 2    

Answer

x = 4

y = -2

How many cubic feet of dirt are there in a hole that is 3’ deep x 3’ wide x 3’ long?.

Answers

Answer:

27

depth ×breadth×width=3×3×3

= 27

If m∠B = 46°, and m∠D = 67°, what is m∠BEA?

67°
46°
88°
134°

Answers

M/B=46 &m/D=67 /BEA=88

The first three steps in writing f(x) = 40x + 5x2 in vertex form are shown.
Write the function in standard form.
f(x) = 5x2 + 40x
Factor a out of the first two terms.
1(x) = 5(x2 + 8x)
Form a perfect square trinomial.
(%) =16
1(x) = 5(x2 + 8x + 16) -5(16)
What is the function written in vertex form?
® f(x) = 5(x + 4) -80
® f(x) = 5(x + 8) - 80
O f(x) = 5(x + 4)2 - 80
• f(x) = 5(x + 8) - 80

Answers

Answer: Choice C  [tex]f(x) = 5(x+4)^2 - 80[/tex]

======================================================

Reason:

The expression [tex]x^2+8x+16[/tex] factors to [tex](x+4)^2[/tex] using the perfect square trinomial formula [tex](a+b)^2 = a^2 + 2ab + b^2[/tex]. In this case, a = x and b = 4.

The -5(16) simplifies to -80

Therefore, [tex]5(x^2+8x+16) - 5(16)[/tex] turns into [tex]5(x+4)^2 - 80[/tex]

Compare this to [tex]a(x-h)^2 + k[/tex] to see that h = -4 and k = -80. The vertex is located at (h,k) = (-4, -80)

Answer:

c) 5(x+4)² - 80

Step-by-step explanation:

You have already gotten the third (second-last) step for finding the vertex as follows:

f(x) = 5(x² + 8x + 16) -5(16)

= 5(x+4)² - 80

Additional remarks: to find the vertex, you can just use find the value of x when x+4 = 0, meaning x = -4 and y = -80. Hence, the vertex is (-4, -80).

Hope this helps and feel free to mark this as brainliest! :)

the length of a rectangle is five times its width. If the perimeter of the rectangle is 84 in, find its length and width

Answers

Answer:

width=14 &Length = 70( can add unit behind the answer e.g.cm or mm etc..)

Step-by-step explanation:

we know that in a rectangle not all side are same compare to a square..

therefore:

1) write the formula for perimeter down

perimeter = the sum of all side

perimeter = 2x(width) + 2x(length)

P=2(w)+2(L)

2) substitute into the equation

P =2(w)+2(L)

84=2(w)+2(5*w)

3) perform opposite operation to make w become the subject of the formula inorder to find width

48=2(w)+2(5*w)

48=2w+10w

48=12w

48/12=12w/12( the twelves cancels out)

7=w or the width is 7

4) rewrite the formula and solve

P=2(w)+2(L)

P =2(7) + 2(5*7)

P = 14 + 70

P = 48

Width = 7 in

Length = 35 in


You don't know what the width is, so you can give the value for width as x, where x is an unknown value to be found. The length is five times the width, so it can be written as 5x.

Width = x
Length = 5x

The perimeter is given as 84. The perimeter of a rectangle is:

Perimeter = 2(width) + 2(length)

Substitute the values for width, length and perimeter, then solve the equation to find x.

Perimeter = 2(width) + 2(length)

84 = 2(x) + 2(5x)

84 = 2x + 10x

84 = 12x

x = 7


Substitute the value of x = 7 to find the length and the width of the rectangle.

Width = x

Width = 7 in


Length = 5x

Length = 5(7)

Length = 35 in


3. Which of the following best describes the slope of line L?

negative slope
positive slope
zero slope
undefined slope

Answers

Answer:

Zero Slope

Step-by-step explanation:

Horizontal lines like line L have ZERO SLOPE

The following lines are parallel. 6x + 3y = 7 and y = -2x + 3

True
False

Answers

Answer:

True

Step-by-step explanation:

• Parallel lines have equal slopes

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

6x + 3y = 7 ( subtract 6x from both sides )

3y = - 6x + 7 ( divide terms by 3 )

y = - 2x + [tex]\frac{7}{2}[/tex] → in slope- intercept form

with slope m = - 2

y = - 2x + 3 ← is in slope- intercept form

with slope m = - 2

since both lines have equal slopes then they are parallel lines

If triangle RST is within Quadrant 2 and csc T = 13/12, what is the value of cotT?

Answers

Answer:

[tex]\boxed {cot T = -\frac{5}{12}}[/tex]

Step-by-step explanation:

Finding the missing side :

x² = 13² - 12²x² = 169 - 144x = √25x = 5

Taking the cot value :

cot T = adjacent / oppositecot T = -5/12 (As cot is negative in Quadrant 2)

Answer:

csc T =13/12

(cot T)^2=csc^2T -1

Cot T)^2=(13/12)^2-1

(cot. T )^2=169/144-1

(cot T)^2=169-144/144

(cot T)^2=25/144

cot T =√ 25/144

cot T=5/12

where cot is negative in WE

so Cot T=-5/12

Step-by-step explanation:

please mark me as brainlest

(28÷4)+3+6x5


tell accordingly the correct answer will be marked as brainliest answer

Answers

The answer to this expression is 40. Why? Well, we can use PEMDAS in this expression.

P: Parenthesis

So this is our first step:

28 / 4 = 7

Next step: Simplify.

7 + 3 + 6 x 5

Then: E stands for Exponents but we have none so we can move on.

M stands for Multiply so we have our next step:

6 x 5 = 30

Now: Simplify.

7 + 3 + 30

Now that we have a simple equation, we can add the values to get our answer.

7 + 3 = 10
10 + 30 = 40

Therefore, your answer is 40. Whenever you see problems like this, be sure to use PEMDAS for a faster and more accurate evaluation.


Your final answer: 40.

Answer ASAP!
Consider right triangle DEF below.
I need to know which two answers to click. Thanks!

Answers

Answer:

A and D

Step-by-step explanation:

Since tangent is opposite/adjacent,

Tan 40 in this case would be x/3.8 (i used x because we don't know what the value is)

So, you set it up as an algebra problem

Tan40 = x/3.8

Multiply both sides by 3.8

3.8tan40 = x, Option A

And then, angle E is 50 degrees

So tan 50 = 3.8/x

Multiply both sides by x

tan50x = 3.8

Divide both sides by tan50

x= 3.8/tan50

So, A and D are both correct

please help mee, (20 points will give brainliest!!!)

Answers

Answer:

A) 48

B) -30

Step-by-step explanation:

Hello!

Part A

To compute f(-1) and f(5), we simply replace x with -1 and -5.

Calculate[tex]f(-1) + f(5)[/tex][tex]((-1)^2 - 1 + 9)+ (5^2 +5 + 9)[/tex][tex](9)+(39)[/tex][tex]48[/tex]

The answer to A is 48

Part B

We have the values for f(-1) and f(5), so we just switch the operation

[tex](9) - (39)[/tex][tex]-30[/tex]

The answer to B is -30

Which graph represents the following system of inequalities?
y<-2x+4
yx<3

Answers

A graph which represents the given system of inequalities is Graph C.

What is an inequality?

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following:

Less than (<).Greater than (>).Less than or equal to (≤).Greater than or equal to (≥).

Based on the graph for the given system of inequalities (see attachment), we can infer and logically conclude that Graph C best represents them.

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PLEASE HELP I WILL GIVE 20 POINTS

Function g can be thought of as translated (shifted) version of f(x)=x^2

Answers

g(x) is left 2, up 1 from f(x). So, g(x)=f(x+2)+1. Or, you can say g(x)= (x+2)^2 + 1.

a man bought a motor at 400,000 Kenyan shillings in January 1999 it depreciated at a rate of 16% per annum if he value it six months determines its value in January 2003​

Answers

The value of the car is January 2003 is  $199,148.54.

What is the value of the car?

Depreciation is the rate of decline in the value of an asset with the passage of time.

The exponential equation that can be used to determine the value of the car is:

Value of the car = purchase value(1 - rate of decline)^time

400,000 x (1 - 0.16)^(2003 - 1999)

400,000 x (0.84^4) = $199,148.54

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What is the slope of the line segment?
1 over 4
Negative 1 over 4
4
−4

Answers

I think it’s 4 because every one across it goes up on 4

What is the inverse of the fraction FX = 1/4 x = -12

Answers

The inverse function of the function f(x) will be f⁻¹(x) = 4x + 48. Then the correct option is D.

The complete question is attached below.

What is inverse of a function?

Suppose that the given function is

f: X → Y

Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is

 f⁻¹: Y → X

It simply means, inverse of 'f' is an undo operator, that takes back the effect of 'f'

The function is given below.

f(x) = (1/4)x – 12

Then the inverse function of the function f(x) will be

(1/4)f⁻¹(x) - 12 = x

            f⁻¹(x) = 4x + 48

Then the correct option is D.

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Which ordered pair would form a proportional relationship with the point graphed below?

Answers

Answer:

  (c)  (-30, 10)

Step-by-step explanation:

Two points will be on the same graph of a proportional relationship if the ratio of values y/x is the same.

__

The given point (x, y) = (60, -20) has a ratio k = y/x = -20/60 = -1/3.

The offered points have y/x ratios ...

(a) 30/-10 = -3

(b) -15/30 = -1/2

(c) 10/-30 = -1/3 . . . . . . the point you are looking for is (-30, 10)

(d) -30/80 = -3/8

Which statement is needed to complete this syllogism?

If the angles of a triangle are all equal, then the sides of a triangle are all equal.
If the sides of a triangle are all equal, then the triangle is equilateral.
Therefore, if the angles of a triangle are all equal, then ________________________.
Group of answer choices

the sides of a triangle are all equal

the triangle is equiangular

the angles of a triangle are all equal

the triangle is equilateral

Answers

If the angles of a triangle are all equal, then the sides of a triangle are all equal. The correct answer is option A.

What is an equilateral triangle?

A triangle having all the three sides equal and all the angles equal is called the equilateral triangle.

As we can see that if the triangle is having all the angles equal then all three sides of the triangle must be equal. The triangle is termed the equilateral triangle.

Therefore the angles of a triangle are all equal, then the sides of a triangle are all equal. The correct answer is option A.

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The graph below shows the solution to which system of inequalities?
OA. y> 2 and y≤ x
B. x> 2 and y≤ x
C. y≥ 2 and y< x
D. y≤ 2 and y< x

Answers

Answer:

C

Step-by-step explanation:

The horizontal line, y=2, is solid and shaded above, so it represents

[tex]y \geqslant 2[/tex]

The slanted line, y=x is dashed and shaded below, so it represents y<x.

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