write each polynomial in standard form. Then give the leading coefficient. You may need to combine like terms before writing the polynomial in standard form.
10-3x²+x^5 + 4x³

Write Each Polynomial In Standard Form. Then Give The Leading Coefficient. You May Need To Combine Like

Answers

Answer 1

Step-by-step explanation:

To write a polynomial in standard form, put the degree that are the greatest first

So here it would be

[tex] {x}^{5} + 4 {x}^{3} - 3 {x}^{2} + 10[/tex]

Remember constant are numbers that you learned back in elementary,

Numbers like 10,90,4,1,0,-3 etc.

Remember that constant are basically represented like this

[tex]k \times {x}^{0} [/tex]

For example, 10 is represented like

[tex]10 \times {x}^{0} [/tex]

Since 0 is the smallest degree possible, for a polynomial, constants are the last term of a polynomial in standard form


Related Questions

What is the main benefit of building a connection with your community

Answers

Answer: Being connected means greater opportunities to learn from each other, mine each other's wisdom, and help each other thrive. Connecting. By being more closely interconnected, each member of the community is able to enjoy a wider, richer network of resources, wisdom, connections, and support.

What kind of compound inequality is
4x-5≥3
Or
5-x > 8
?
a. hole
b. intersection
c. conjunction
d. union

Answers

Answer:  D)  union

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

Explanation:

Let's solve the first inequality for x.

4x-5 ≥ 3

4x ≥ 3+5

4x ≥ 8

x ≥ 8/4

x ≥ 2

Now solve the other inequality

5 - x > 8

5 > 8+x

8+x < 5

x < 5-8

x < -3

The two solutions we get are x < -3 or x ≥ 2

These two regions do not overlap. The key word "or" connecting the original inequalities also applies to the solutions.

Either x is smaller than -3, OR it is 2 or larger

I recommend drawing out a number line and shading the appropriate regions. The two disjoint regions do not connect which means we have a union of the two regions.

What is the quotient of (x cubed 3 x squared minus 4 x minus 12) divided by (x squared 5 x 6)?

Answers

The quotient of [tex]x^{3}+3x^{2} -4x-12[/tex] divided by [tex]x^{2} +5x+6[/tex] is (x-2_.

Given the polynomial [tex]x^{3}+3x^{2} -4x-12[/tex] and [tex]x^{2} +5x+6[/tex] and the first expression or polynomial is divided by second.

Quotient is a number that is obtained by dividing two numbers. It can be of two numbers or two expressions. Remainder is a number or an expression left after division of two numbers.

To find the quotient of [tex]x^{3}+3x^{2} -4x-12[/tex] divided by  , we have to divide the expression first.

We know that ,

Divident=Divisor*Quotient+remainder

[tex]x^{3}+3x^{2} -4x-12[/tex]=[tex]x^{2} +5x-6[/tex]*(x-2)-12

If we carefully watch the above equation and compares with the above formula then we can easily find that the value of quotient is (x-2).

Hence the quotient of [tex]x^{3}+3x^{2} -4x-12[/tex] divided by [tex]x^{2} +5x-6[/tex] is (x-2).

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Question is incomplete as the given expressions are incomplete as they should be like this:

[tex]x^{3}+3x^{2} -4x-12[/tex] and [tex]x^{2} +5x-6[/tex].

Match the concept with its definition and characteristics. i. A set of instructions (codes) that perform a specific task. ii. A calculation where the result is placed into a variable. iii. The computer programming equivalent of a recipe in cooking iv. A formula to calculate a new value based on other values and operations.
1. Algorithm 2. Expression 3. Equation

Answers

First definition matches with expression, second matches with equation ,third matches with algorithm and fourth matches with equation.

Given  four definitions of equation, expression, algorithm but mixed.

We have to match the definitions with appropriate term.

We know that expression is a combination of numbers, symbols, fraction, coefficients, indeterminants mostly not found in equal to form. It exhibits a behaviour only.

Algorithm is a computer programming to do a specific task in a predetermined way.

Equation is a relationship between two variables expressed in equal to form. In this we have to put the value of variables and the equation gives us a value.

Hence  First definition matches with expression, second matches with equation ,third matches with algorithm and fourth matches with equation.

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can you help me with this. step by step

Answers

Answer:

B The vertex is at (2,2)

Or could possibly be

C the axis of symmetry is x=2

how to get more brancells?

Answers

Answer:

Read books, watch documentaries, exercise, anything that benefits your body and mind

Step-by-step explanation:

What is the turning point of the parabola with the equation?
y=27(x-64)squared+43
A: (-64,-43) B: (64,43) C: (64,-43) D: (1728,43) E: (-64,43)

Answers

The turning point of the parabola is (64, -43)

What is a turning point?

Turning point is that point on a parabolic curve in which the gradient of the curve changes value.

It is also the point on the curve in which the curve starts rising or falling.

Analysis:

[tex]27(x-64)^{2}[/tex] + 43

27(x-64)(x-64) + 43

27([tex]x^{2}[/tex] -64x -64x +4096) + 43

27[tex]x^{2}[/tex] -3456x +110592 +43

27[tex]x^{2}[/tex] -3456x +110635

at turning point dy/dx = 0

dy/dx = 54x - 3456

54x - 3456 = 0

54x = 3456

x = 3456/54 = 64

To find the value of y at x = 64

27[tex](64)^{2}[/tex] -3456(64) +110635

110592 - 221184 +110635 = -43

Therefore the turning point of the parabola is (64, -43)

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Slope BC and DE are both -0.4 what is their relationship

Answers

Answer - two lines with the same slope are parallel lines.
My example attached shows slope of 2 for both lines. It would be the same for -0.4 for both lines.

convert 2.3 tn = _______ Ib show your work pls

Answers

4600 pounds
Work: 2.3 * 2000

The perimeter of a triangle is 44cm. One side is 4cm shorter than the second side and twice as long as the third side. Find the length of each side of the triangle.

Answers

The 1st, 2nd, and 3rd sides of the triangle are 16, 20, and 8 respectively.

Given that the perimeter of the triangle is 44 cm.

Let us consider a side 's' which is 4 cm shorter than the second side.

That means the second side is 4 cm longer than s, hence the second side is s+4 cm in length.

We also have that the side of length s is of length twice as long as the third side.

Hence, the length of the third side is half that of s so, it is of length s/2.

Hence, at the end 44=s+(s+4)+(s/2)=s(2+1/2)+4

⇒ s(5/2)=40

⇒ s=8*2=16

So, the 1st, 2nd, and 3rd sides of the triangle are 16, 20, and 8 respectively.

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17.
Lincoln stands on the top of a building and fires a gun upwards. The bullet travels
according to the equation h = -16t² + 384t + 50, where h is the height of the bullet off
the ground in metres at t seconds after it was fired.

a) How far is Lincoln above the ground when he shoots the gun?

b)How high does the bullet travel vertically relative to the ground?

c)How long does it take the bullet to reach its greatest height?

d)After how many seconds (round to nearest 100th) does the bullet hit the ground?

please help asap!

Answers

Answer:

a) 50 meters

b) 2354 meters

c) 12 seconds

d) 24.13 seconds

Step-by-step explanation:

Hello!

a) How far is Lincoln above the ground when he shoots the gun?

We need to really understand what the variables represent in this question. Given that t is time, and h is height, the time at which he shoots the bullet will be 0, as the bullet hasn't started traveling yet. This means that we can solve for the original height of the bullet by plugging in 0 for time in the equation.

Equation: [tex]h = -16t^2 + 384t + 50[/tex]

Plug in 0 for t:

[tex]h = -16t^2 + 384t + 50[/tex][tex]h = -16(0)^2 + 384(0) + 50[/tex][tex]h = 50[/tex]

The height at which Lincoln shot the bullet is 50 meters.

We can also look at this graphically. The height of origin will simply be when the x-value (in this case t-value) is 0. That means it is the point at which the graph intersects the y-axis, known as the y-intercept.

Standard form of a Parabola: [tex]y = ax^2 + bx + c[/tex]

The y-intercept is the "c" value.

Given our equation: [tex]h = -16t^2 + 384t + 50[/tex]

The c-value is 50. This proves that the y-intercept is 50.

b)How high does the bullet travel vertically relative to the ground?

We want to find the highest point of the graph. To do that, we can find the vertex.

We can utilize the Axis of Symmetry (AOS) to find the Vertex.

First, find the AOS using the formula: [tex]AOS = -\frac{b}{2a}[/tex]

a = -16b = 384

Plug it into the formula:

[tex]AOS = -\frac{b}{2a}[/tex][tex]AOS = -\frac{384}{2(-16)}[/tex][tex]AOS = \frac{384}{32}[/tex][tex]AOS = 12[/tex]

Plug in 12 for t in the equation:

[tex]h = -16t^2 + 384t + 50[/tex][tex]h = -16(12)^2 + 384(12) + 50[/tex][tex]h = -2304 + 4608 + 50[/tex][tex]h = 2304+50[/tex][tex]h = 2354[/tex]

Therefore, the highest point of the bullet is 2354 meters.

c)How long does it take the bullet to reach its greatest height?

We answered this in the last question. The t-value when h is at its highest is 12.

d)After how many seconds (round to nearest 100th) does the bullet hit the ground?

We have to solve for the values of t when h is 0 (when it touches the ground).

Set the equation to 0, and solve using the quadratic formula.

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

[tex]x = \frac{-b\pm\sqrt{b^2 - 4ac}}{2a}[/tex][tex]x = \frac{-384\pm\sqrt{384^2 - 4(-16)(50)}}{2(-16)}[/tex][tex]x = \frac{-384\pm\sqrt{147456 +3200}}{-32}[/tex][tex]x = \frac{-384\pm\sqrt{150656}}{-32}[/tex][tex]x = \frac{-384\pm388.14}{-32}[/tex][tex]x = -\frac{4.14}{32}, x = \frac{772.14}{32}[/tex]

We are only going to take the positive solution, as we can't have a negative time. The solution that doesn't work is called an extraneous solution.

[tex]x = \frac{772.14}{32}[/tex][tex]x = 24.13[/tex]

It takes approximately 24.13 seconds for the bullet to hit the ground.


Try It #2
Use function notation to express the weight of a pig in pounds as a function of its age in days d.

Answers

Based on the weight of the pig and the age in days, the function notation would be w = f (d).

What function expresses the pig's weight in days old?

The function will take the form of:

y = f(x)

y will be the weight and x will be the age of the pig in days.

The function would therefore be:

w = f (d)

In conclusion, the function notation to express the pig's weight is w = f (d).

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Im taking precalc over edge 2022 right now. Cramming right before the deadline LOL. If i complete things after the deadline do they count for late credit?

Answers

Step-by-step explanation:

♦ Solution ♦ :-

Given Information :

The ratio of heights of the two girls = 5:7

Assumption

Consider their height be 5X cm and 7X cm

The height of the first girl = 5X cm

But According to the condition mentioned in given problem

The height of the first girl = 192 cm

=> 5X = 192

=> X = 192/5

=> X = 38.4

Therefore, X = 38.4 cm

Now the height of the second girl = 7X cm

=> 7 × 38.4 cm

=> 268.8 cm

♦ Alternative Method♦ :-

The ratio of the heights of the two girls = 5:7

The height of the first girl = 192 cm

Assume that the height of the second girl = X cm

Therefore, 5:7= 192:X

=> 5/7 = 192/X

=> 5X = 7×192

=> X = (7×192)/5

=> X = 7× 38.4

=> x = 268.8 cm

♦ Answer ♦ :-

The height of the second girl is 268.7 cm

i’m doing the same thing, i’m not really sure for you but she said i could even complete it during school for credit

There are 10 circles and 6 squares. What is the simplest ratio of squares to total
shapes?

Answers

Answer:

The simplest ratio would be 5:3

Step-by-step explanation:

Both 10 and 6 can be divided by 2.

They turn into 5 and 3.

Since you can't make 5 and 3 any smaller, this will be the answer.

5:3

Hope this helped! :D

Can someone please help me with this?

Answers

Answer: -5

Step-by-step explanation:

When x = 8, y = -5.

Gotta need answers fast like asap, it’s geometry, just fill the blanks pls

Answers

Two or more triangles are said to be congruent if and only if they have equal lengths of sides and equal measures of angles.

Thus, the required proof is as shown below:

   STATEMENTS                                             REASONS

1. ΔABC and ΔDEC with AB ≅ DE;

  BC ≅ EC; <1 ≅ <2                                          Given

2. <1 and < ABC; < 2 and <DEC are sup     Sum of angles on a straight line

3. <ABC ≅ <DEC                                Congruent angles of similar triangles

4. ∴ΔABC ≅ ΔDEC                              Side-Angle-Side (SAS) postulate

5. ∴<ACB ≅ <DCE                                         CPCTC postulate

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A line passes through the two points (0, -2) and (9, 1). what is the y y -coordinate of the point on this line whose x x -coordinate is 12? a. -6 b. 0 c. 2 d. 4

Answers

Answer: 2

Step-by-step explanation:

The slope of the line is

[tex]\frac{-2-1}{0-9}=\frac{1}{3}[/tex]

So, the equation of the line is [tex]y=\frac{1}{3}x-2[/tex].

Substituting in x=12,

[tex]y=\frac{1}{3}(12)-2=2[/tex]

calculate AC to 1 decimal place ?

Answers

Step-by-step explanation:

first we need to find the length of CD, so that we can use Pythagoras to find AC.

to get CD we use again Pythagoras. there is a smaller right-angled triangle on top of the BCD rectangle.

so, AD = 11 = 4 + 7

7 = the vertical leg of the upper right-angled triangle.

the horizontal leg is congruent to CD and is

sqrt(16² - 7²) = sqrt(256 - 49) = sqrt(207).

AC² = sqrt(207)² + 11² = 207 + 121 = 328

AC = sqrt(328) = 18.11077028... cm ≈ 18.1 cm

The total surface area of this cuboid is 112^2
Find the value of x
length = 10cm
width = 2cm
Hight = x

Answers

The value of x is 3

How to solve for x?

The given parameters are:

Length = 10cm

width = 2cm

Height = x

The surface area is calculated as;

Area = 2 *(lw + lh + wh)

So, we have:

2 * (10 * 2 + 2x + 10x) = 112

Evaluate the like terms and divide by 2

20 + 12x = 56

Subtract 20 from both sides

12x = 36

Divide by 12

x = 3

hence, the value of x is 3

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Which expression is equivalent to the following complex fraction? StartFraction negative 2 Over x EndFraction + StartFraction 5 Over y EndFraction divided by StartFraction 3 Over y EndFraction minus StartFraction 2 Over x EndFraction StartFraction negative 2 y + 5 x Over 3 x minus 2 y EndFraction StartFraction 3 x minus 2 y Over negative 2 y + 5 x EndFraction StartFraction x squared y squared Over (negative 2 y + 5 x) (3 x minus 2 y) EndFraction StartFraction (negative 2 y + 5 x) (3 x minus 2 y) Over x squared y squared EndFraction

Answers

The expression that is equivalent to the given complex fraction is; (-2y+5x) / (3x - 2y)

How to simplify algebraic fractions?

The given algebraic sentence can be rewritten as;

((-2/x) + (5/y))/((3/y) - (2/x))

The LCM is xy and as such when we put it in the denominators of each fraction, we have:

((-2y + 5x)/xy)/((3x - 2y)/xy)

Putting 'xy' in the numerator and denominator of the whole fraction:

(-2y + 5x)/(3x - 2y)

The final expression we have is (-2y + 5x)/(3x - 2y)

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Answer:

its A -2y+5x ÷ 3x-2y

Step-by-step explanation:

Edge 2022

state the domain and range of the following relation
x^2+y^2=16

Answers

The domain and range is  [-4, 4] and [0, 4]

What is Domain and range?

The domain of a function is the set of values that we are allowed to plug into our function.

The range of a function is the set of values that the function assumes.

x² + y² = 16

y = √16 - x²

For domain under root should not be negative quantity,

16 - x²≥0

16≥x²

So, x≤4 or x≥4

Thus, the domain is  [-4, 4]

Range:

y is maximum at x=0, y=4

y is minimum at x=4, y=0

Thus, range = [0, 4]

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i honestly done know what to do (look at image)​

Answers

Answer:

A is x - 4n / 3, B is 6k + 9n, C is 11k + 16n

Step-by-step explanation:

Pretty simple, you are adding the algebra grids, or substituting variables and making out an equation.

Solving for B: 4k + 6n + 2k + 3n = 6k + 9n

Solving for A: (2k + 3n) + x = 5k + 7n = x - 4n / 3

Solving for C: 6k + 9n + 5k + 7n = 11k + 16n

The dot plots below show the ages of students belonging to two groups of painting classes:

Based on visual inspection, which group most likely has a lower mean age of painting students? Explain your answer using two or three sentences. Make sure to use facts to support your answer. (10 points)

Answers

On the base of visual inspection , it can be said that the Group A has an average lower than the Group B

What is a Dot Plot ?

It is the simple form of data visualization , in which the frequency of a data is marked as dots on x and y axis.

The dot plot is given for two groups of 30 people , who go to painting class.

It has been asked that which group most likely has a lower mean age of painting students .

On the base of visual inspection , it can be said that the Group A has an average lower than the Group B

It can be said so as the dots are highest at the age of 19 in Group A , and the whole distribution lies between 9 to 19 age of people ,

while in Group B the age of the people is wide distributed and therefore the average age will be more ,

By calculation it is proved that the average age of Group A is 15.967

and the average age of Group B is 19.7.

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Which equation matches the statement below?
Three times the difference of a number "n" and five is sixteen more than double the number "r
O 3(5-n)=2n+16
O 3(n-5)=16+2n
3(n-5)=2n+16
3n-5=2n+16

Answers

Answer:

3(n-5)=2n+16

Step-by-step explanation:

3 lots of 'n' and 5 means 3 times both values so these values are put into a bracket with a common multiplier (ie. the 3)

3(5 - n)

16 more than 2 lots of 'n' means that n has to be doubled. n + n = 2n. add 16 to this and we have

2n + 16

if these values are both equal (hence why they are in an equation) then all that is needed is for them to be set equal alongside each other.

3(n-5) = 2n+16

:)

Given: AC BD and AC and BD bisect each other.
Prove: BE EC

Answers

1) [tex]\overline{AC} \cong \overline{BD}[/tex] and [tex]\overline{AC}[/tex] and [tex]\overline{BD}[/tex] bisect each other (given)

2) [tex]ABCD[/tex] is a parallelogram (a quadrilateral with diagonals that bisect each other is a parallelogram)

3) [tex]ABCD[/tex] is a rhombus (a parallelgoram with congruent diagonals is a rhombus)

4) [tex]\overline{BE} \cong \overline{EC}[/tex] (halves of congruent segments are congruent)

find the slope of a line passing through the points A(-2,-7) and B(-2,2)

Answers

SOLVING

[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]

Find the slope of a line passing through (-2,-7) and (-2,2)

[tex]\Large\maltese\underline{\textsf{B. This problem has been solved!}}[/tex]

[tex]\boxed{\begin{minipage}{6cm} To find the slope, \\ we use the formula below.\end{minipage}}[/tex]

[tex]\bf{\dfrac{y2-y1}{x2-x1}}[/tex]   | put in the values

[tex]\bf{\dfrac{2-(-7)}{-2-(-2)}}[/tex] | look what happens when I simplify!

[tex]\bf{\dfrac{2+7}{-2+2}}[/tex] | uh-oh

[tex]\bf{\dfrac{9}{0}}[/tex] ...

The operation above is an operation we can't do.

[tex]\bf{Slope=\;Not\;D e f ined}[/tex]

[tex]\cline{1-2}[/tex]

[tex]\bf{Result:}[/tex]

             [tex]\bf{=Slope=Not\;De fined}[/tex]

[tex]\LARGE\boxed{\bf{aesthetic\not1\theta\ell}}[/tex]

Please help ill give whoever answers the best the brainliest answer ;0

Answers

Answer:

This could be described by the stock market. Suppose you had stock of tesla that went up then flat then down

Step-by-step explanation:

you went for a walk : you started at home, walked away, first slower, then a little bit faster, stayed a little bit first at one place, then started walking back home, stayed a really short time at a second place and finally walked back home.

Blending problems arise when one must decide which of two or more ingredients is to be chosen to produce a product.

Answers

No, it isn't true that blending problems arise when one must decide which of two or more ingredients is to be chosen to provide a product.

Given sentence "Blending problems ...............................supply a product."

We have to answer whether the given sentence is true or false.

We can say that the given sentence is fake. the sole objective functions allowed for applied math problems maximizing profits and minimizing costs.

Blinding problems are a typical application of mixed integer applied mathematics. They involve blending several resources or materials to make one or more products similar to a requirement. Mixed integer linear programs are linear problems during which some variables are required to require integer values.

Hence the given statement is fake regarding arise of blending problems.

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Question is incomplete because it should includes:

State whether the statement is true or false.

subtract 6x 2 −7x−2 from 6x^{2}-2x+6

Answers

Answer:

5x+8

Step-by-step explanation:

The from is the key word

That means the second term is first

6x^2 -2x +6 - (6x^2 -7x -2)

Distribute the minus sign

6x^2 -2x +6 - 6x^2 +7x +2

Combine like terms

5x+8

for what values of the variables are the following expressions defined 1/x+y

Answers

The expression is defined for all the real values except x = -y , y = -x.

What is an Expression ?

An expression is a mathematical statement consisting of constants , variables and mathematical operators.

The expression given in the question is 1/(x +y)

An expression f(x) is undefined when the denominator = 0

f(x) = 1/(x +y)

For the denominator to be zero,

x = -y

or y = -x

So the expression is defined for all the real values except x = -y , y = -x

It can be written as

E = {x ∈ R ∧ x ≠ -y} or

E = {y ∈ R ∧ y ≠ -x}

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Kathy Beckhardt weighs four of her sheep at the fair. She can weigh two of them at a time on the big scale. Sheep A and sheep B have an average weight of 150 pounds, sheep B and sheep C have an average weight of 127 pounds, and sheep C and sheep D have an average weight of 168 pounds. What is the average weight of sheep A and sheep D? To measure the height of a tree, Alma walked 125 ft from the tree andmeasured a 32 angle from the ground to the top of the tree. Estimate theheight of the tree to the nearest foot. Can someone help please Find the equation of the line that passes through (1,3) and is perpendicular to y = 1 2 x . Leave your answer in the form y = m x + c Question 101 pSimple syrup is the original, the most basic, and general one of the most common ways to add sweetness to a cocktail. You can choose from a range of sugawhen making your simple syrup.a White SugarOb SplendaDe Raw SugarOd Brown Sugar Ben, a psychology student, decides to examine masking behaviors, now that more people are vaccinated. He goes to his local grocery store, finds a specific spot to sit, and counts the number of people he sees with masks or without masks across 2 weeks. Ben is most likely conducting a(n) ____________________ study. 3. What term describes a plant's response to external stimuli like light, gravity, and touch?A. auxinsB. tropismsC. differential growthD. germination How did Jacques Cartier's fool's gold and "Canadian diamonds" affect the French view of Canada? Which of the following lines from "The Blind Side':How Michael Oher Made It" article support someresearchers claim that environmental protectivefactors do not affect a person's ability to be resilient? Find the values of x and y. Angelica Reardon received a 4-year non-subsidized student loan of $17,000 at an annual interest rate of 6.1%. What are Angelica's monthly loan payments for this loan after she graduates in 4 years? (Round your answer to the nearest cent.) $ 47. A car travels at a constant speed of 50 miles per hour.The distance the car travels in miles is a function oftime, t, in hours given by d(t) = 50t. Find the inversefunction by expressing the time of travel in terms ofthe distance traveled. Call this function t(d). Findt(180) and interpret its meaning. 9. Which word best fits in the blank?The Pilgrims eventually settled at Plymouth, but their first.America was at Cape Cod.A. calamityB. perilC. habitationD. adversityin North A restaurant sells burritos for $8.00 each. The cost of the meat is $1.50 and the cost of the other ingredients is $1.00 for each burrito.Money made from selling burritos is positive. The cost of making burritos is negative. Profit is the money left after paying the costs.How much profit would the restaurant make by selling 100 burritos?Answer these questions to find out.1. How much money would the restaurant take in by selling 100 burritos A person who normally weighs 580 N is riding in an elevator that is moving upward, but slowing down at a steady rate. If this person is standing on a bathroom scale inside the elevator, what would the scale read The constituents of leaf pigment can be separated by: 5 5/6 + 2 2/3 mixed number 3. Why was the blitzkrieg effective? what would be 12% of 40 If using the method of completing the square to solve the quadratic equation x^2-9x+2=0 which number would have to be added to "complete the square"?