What is 4x^3+4x^m+8x^5+4 written in polynomial standard form?

The solution is, max no. of +ve real roots for is 2. &  max no. of -ve real roots is 1.

Descartes rule of signs says the max no. of +ve real roots

= no. of changes in sign of the coefficients of a polynomial.

here, we have,

the polynomial function P(x)=8x^3 +2x^2-14x+5

now,

so max no. of +ve real roots for

P(x)=8x^3 +2x^2-14x+5, which has 2 changes in sign of coefficients (8,2,-14,5)

i,e,  max no. of +ve real roots for is 2.

again,  P(-x)=-8x^3 +2x^2+14x+5

which has 1 changes in sign (-8,2,14,5)

i.e. max no. of -ve real roots is 1.

Hence, The solution is, max no. of +ve real roots for is 2. &  max no. of -ve real roots is 1.

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Answer:

1

Step-by-step explanation:

Evaluate. Write your answer as a fraction or whole number.

1/4 (4) = 1

Answer: x = 7

Step-by-step explanation:

The right angle is equal to 90 degrees

Therefore (5x - 8) + (4x + 35) is equal to 90 degrees

5x - 8 + 4x + 35 = 90

5x + 4x + 35 - 8 = 90

9x + 27 = 90

     - 27    -27 (subtract 27 from both sides)

9x = 90 - 27

9x/9 = 63/9 (divide both sides by 9)

x = 7

Check

5(7) - 8 + 4(7) + 35 = 90

35 - 8 + 28 + 35 = 90

Answer:

see below

Step-by-step explanation:

d= original price

so d−0.25d = full price less 25%

0.75d is the same - paying (1-25%) = 75% of original price

The equation y = 2x - 8, best describes the relationship between the corresponding values of x and y shown in the table.

A linear equation is defined as an equation in which the highest power of the variable is always one.

The table is given in the question, as follows:

x : -2    0    1     4

y : -12  -6   -3    6

Option C,  y = 3x - 6, best describes the relationship between the corresponding values of x and y shown in the table. This can be seen by plugging in the x values from the table into the equation and observing that it yields the corresponding y values.

So substitute the values of x = 4 and  y = 6 in the equation  y = 3x - 6, and we get

6 = 3(4) - 6

6 = 12 - 6

6 = 6

Hence, the correct answer would be option (C).

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The question seems incomplete, the missing part has been below:

Which equation best describes the relationship between the corresponding values of x and y shown in the table?

x : -2    0    1     4

y : -12  -6   -3    6

A. y = x - 10

B. y = 2x - 8

C. y = 3x - 6

D. y = x2 - 8

Finance amount: The amount you can finance for a new car with a monthly payment of $240, for 60 months (5 years), depends on several factors, including the loan interest rate, the down payment, and the value of the car.

Estimated percentage rate: The interest rate for a new car loan with a credit score between 601-660 typically ranges from 5% to 10%.

Amount of interest you will pay for the loan: The amount of interest you will pay for the loan can be calculated by multiplying the loan amount by the interest rate and the number of months.

For example, if you finance $20,000 at a 7% interest rate for 60 months, the total interest paid over the life of the loan would be $3,140.

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The state withholding tax for the unmarried person Mary Smith is 6.76.

When paying rent, commissions, or fees for professional services at rates specified by current tax laws, the taxpayer is required to withhold tax, which is also known as retention tax.

A tax determined using the tables or computation methods prescribed by the Secretary must be deducted and withheld from all wages paid by an employer, unless otherwise specified in this section.

Withholding taxes are paid by employers to the IRS on behalf of the employee. The amount collected is applied as a credit to the employee's yearly income tax liability. If too much money is withheld, the employee gets a tax refund; if not enough, the employee might have to pay the IRS.

So that the state withholding tax for the unmarried person Mary Smith is 6.76.

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The slope of the given line ( 2 / x ) + ( 3 / y ) = 0 which is calculated by solving the equation is equal to ( - 3 / 2).

A line's slope is defined as the ratio of the change in y coordinate to the change in x coordinate.

The net change in y-coordinate is represented by Δy and the net change in x-coordinate is represented by Δx.

Hence, the expression for the change in y-coordinate with respect to the change in x-coordinate is,

m = y/x = y/x = change in y/change in x

where "m" represents a line's slope.

Furthermore, the slope of the line can be shown as

tan θ = Δy/Δx

So, tan θ to be the slope of a line.

As given in the question,

Given equation of the line is equal to ( 2 / x ) + ( 3 / y ) = 0

Simplify the given equation to get the slope intercept form :

( 2 / x ) + ( 3 / y ) = 0

⇒ ( 2 / x ) = - ( 3 / y )

⇒ 2y = -3x

⇒ y = ( - 3 / 2 ) x + 0  __(1)

Standard slope intercept form of the line is given by :

y = mx + c  __(2)

Where m is the slope of the line

Compare (1) and (2) to get the slope of the line we get,

Slope of the line 'm' = ( - 3 / 2 )

Therefore, the slope of the given line by simplify the equation

( 2 / x ) + ( 3 / y ) = 0 in slope intercept form is equal to ( - 3/2).

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Answer:

x < -3

Step-by-step explanation:

Inequality form: x < -3

Interval Notation: (-[tex]\infty}[/tex],-3)

as you already know, to get the inverse of any expression we start off by doing a quick switcheroo on the variables and then solving for "y", let's do so.

[tex]\stackrel{f(x)}{y}~~ = ~~\cfrac{x+5}{x+7}\hspace{10em}\stackrel{\textit{quick switcheroo}}{x~~ = ~~\cfrac{y+5}{y+7}} \\\\\\ xy+7x=y+5\implies xy-y+7x=5\implies xy-y=5-7x \\\\\\ \stackrel{\textit{common factoring}}{y(x-1)=5-7x}\implies y=\cfrac{5-7x}{x-1}=f^{-1}(x) \\\\[-0.35em] ~\dotfill\\\\ f^{-1}(-8)~~ = ~~\cfrac{5-7(-8)}{(-8)-1}\implies f^{-1}(-8)=\cfrac{61}{-9}\implies f^{-1}(-8)=-6\frac{7}{9}[/tex]

The coordinates of the vertex points of the triangle rotated through 180° about the origin, are (-1, -2), (-4, -2), and (-4, -4)

The drawing of the image of the triangle rotated through 180°, created using MS Excel is attached

A rotation transformation is one in which points on the figure to be rotated are turned about a center of rotation, following a circular path.

The coordinates of the vertices of the triangle are; (1, 2), (4, 2), and (4, 4)

The coordinates of the image following rotation of a point (x, y) 180°, about the origin is the point (-x, -y)

Therefore, the coordinates of the image of the triangle following the rotation are;

Rotation of the point (1, 2) 180° ⇒ (-1, -2)

Rotation of the point (4, 2) 180° ⇒ (-4, -2)

Rotation of the point (4, 4) 180° ⇒ (-4, -4)

Please find attached the graph of the image of the triangle with the vertex points (-1, -2), (-4, -2), and (-4, -4) following the rotation through 180° about the origin, created with MS Excel

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Answer:

Step-by-step explanation:

ur mom

Step-by-step explanation:

remember, y = f(x)

so, the question is really for what x is y = 1 ?

and what is the y-value for x = -1 ?

a)

when we imagine a horizontal line through y = 1, at what points (x-value) does this line cross the function graph ?

as we can see, at x = -2 and x = 2.

pick one for your answer.

b)

now we imagine a vertical line through x = -1.

at what point (y-value) does this line cross the function graph ?

as we can see, at y = 4.

f(-1) = 4

If the straw fits exactly into the box diagonally from the bottom left corner to the top right back corner, then the straw is √181 inches long.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.

Given:

A straw is placed inside a rectangular box that is 9 inches by 6 inches by 8 inches, as shown.

So, the diagonal of the base by the Pythagorean theorem,

c = √{(9)² + (6)²}

c = √117

Now, to find the value of d,

d = √{(√117)² + (8)²}

d = √181

Therefore,  the straw is √181 inches long.

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Therefore , the solution of the given problem of quadratic equation comes out to be quadratic equation., cubic equation and leading coefficient is 1.

For one-variable equations, the quadratic result x = ax2 + b + c=0 is used in regression modeling. The First Thesis basic Algebra asserts that there is just one solution because this equation has a second order. Both straightforward and complex solutions can be found. A "quadratic solution," as the name suggests, consists of four variables. This suggests that there might be a single squared word.

Here,

Given :

=> x² + 2x -5 its degree is 2

hence quadratic equation.

=> 4x³ -8 its degree is 3

hence cubic equation

=> 2x⁴ - 7x² -5x + 1 its degree is 4

hence its an degree 4 equation.

leading coefficient of:

=> x³ + 5x² + 28 -x

leading coeffcient is = 1

Therefore , the solution of the given problem of quadratic equation comes out to be quadratic equation., cubic equation and leading coefficient is 1.

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Just enter each value of x into the formula f(x) = x - 4. For example, f(x) = 2 - 4 = -2 when x = 2.

A general rule is that the algebraic expression should take any of the following forms: addition, subtraction, multiplication, and division. to ascertain x's value.

Finding the value of f(x) =... or y =... that corresponds to a given value of x is the definition of function evaluation. Simply swap out all instances of x with the value that has been allocated to x to do this. For instance, if f(4) is to be evaluated, then x has been given the value of 4.

Separate the variable. In this instance, you transfer the constant term across the equal sign by doing the reverse operation on both sides and adding 1 to isolate the variable term. Isolate the variable further, then simplify.

Given,

f(x)=x-4

⇒ when x = -2,

⇒ f(x) = -2 -4 = -6

When x = -1,

⇒ f(x) = -1 -4 = -5

When x = 0

⇒ f(x) = 0 -4 = - 4

When x = 1

⇒ f(x) = 1 -4 = -3

When x = 2

⇒ f(x) = 2 -4 = - 2

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The population of the town X in 2020 is given by the equation

A = 2,88,654

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.

Percentage change is the difference between the measured value and the true value , as a percentage of the true value

Percentage change =( (| Measured Value - True Value |) / True Value ) x 100

Given data ,

Let the population of the town X in 2020 be A

Let the percentage of increase be represented as r

Now , the equation will be

The initial population of Town X be A = 220,000

The increased population in 10 years be B = 252,000

So , the percentage change = [ ( B - A ) / A ] x 100

Substituting the values in the equation , we get

The percentage change r = [ ( 252,000 - 220,000 ) / 220,000 ] x 100

On simplifying the equation , we get

The percentage change r = [ 32,000/220,000 ] x 100

The percentage change r = 0.1454545 x 100

The percentage change r = 14.545 %

Now , the population of the town X in 2020 = ( 14.545 + 100 )% x increased population in 10 years

On simplifying the equation , we get

The population of the town X in 2020 A = ( 114.545 )% x 252,000

The population of the town X in 2020 A = 2,88,654.544

Hence , The population of the town X in 2020 A = 2,88,654

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The pie chart for the data representing the expenditures of the family is given by the image presented at the end of the answer.

A pie chart is constructed in pizza format, considering the percentages of each input data in the problem.

A percentage is calculated as the division of the number of desired outcomes by the number of total outcomes, and then multiplied by 100%.

The total expenditures for the family are given as follows:

2000 + 1000 + 2500 + 2000 + 12000 + 10000 = 29500.

The percentages for the data-set in this problem is given as follows:

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Answer:

Quadrant II

Step-by-step explanation:

[tex]2i-10[/tex] can be written as [tex]-10+2i[/tex], which shows a 10-unit transformation to the left of the real axis and a transformation of 2 units up on the imaginary axis. Hence, this would be in Quadrant II.

The total angle made at the center of the pie chart is 360°

An angle is formed when two lines come together at a point. The distance between these two rays, known as the "opening," is measured as a "angle." This character represents it. Degrees and radians are frequently used to quantify an angle's circularity or rotation. Angles frequently appear in daily life.

In geometry, an angle is made when two rays are connected at their ends. These rays are known as the sides or arms of the angle. Continue reading to find out more about an angle's many parts.

Two rays form an angle when they come together at a point. The symbol represents a "angle," which is the phrase used to describe the "opening" between these two rays.

Number of students playing volley Ball = 48

Total number of students = 50 +48 +60 + 22 = 180

The measure of central angle representing the students playing volley Ball = 48 180 x 360° = 96°

:. The angle made by the volleyball playing student is 96°

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Given question is incomplete , the complete question is given below

The table shows the number of students of a school who play different games.

Game                     football         volleyball       cricket      basketball

No. of                          50                  48                 60                22

students

When the data shown in the table above is presented in a pie chart, what will be the measure of the central angle of the sector representing the students playing Volley Ball?

Answer:

Y=5−2y/3

x=1−y/3

hope that helps

Answer:

About $0.08 per an oz

Step-by-step explanation:

Answer:

14,35,42,63,77

Step-by-step explanation:

Actually how to get the output you follow the rule;

n×7

the first will be;2×7=14

the second will be; 5×7=35

the third will be; 6×7=42

the forth will be; 9×7=63

the fifth will be; 11×7=77

The value of the equation is A = 5/3

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = ( 25 ^ 1/2 ) / ( 27 ^ 1/3 )   be equation (1)

On simplifying the equation , we get

A = √25 / ∛27

The value of √25 = 5

And , the value of ∛27 = 3

Substituting the values in the equation , we get

A = 5/3

So , the value of A = 1.66667

Hence , the equation is A = 5/3

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The answers for the asked probabilities, are a) P(boys only) = 6/100, b) P(not boys only) = 94/100 and c) 20

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

Given that, a random list of 100 numbers and the assignations 0-4 to represent girls and 5-9 to represent boys,

a) Based on the results of the simulation, what is the experimental probability that a group will include only boys?

Answer :- 6 of the numbers simulate groups of all boys: 7579, 6577, 5697, 9675, 5656, 6658. So, the experimental probability of a group being all boys is 6/100 = 0.06

b) Based on the results of the simulation, what is the experimental probability that a group will not contain four boys?

Answer :- The other 94 groups do not include only boys.

The probability that the group will not contain four boys is

1 -6/100 = 94/100 = 0.94

c) Based on the results of the simulation, if 224 groups are formed, about how many of them would you expect to contain all girls?

Answer :- 9 of the groups contain all girls. Based on these results, we would expect,

9/100 × 224 ≈ 20

Therefore, 20 groups to contain all girls.

Hence, the answers are a) P(boys only) = 6/100, b) P(not boys only) = 94/100 and c) 20

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The question is incomplete, so I solved for,

Use the following random list of 100 numbers and the assignations 0-4 to represent girls and 5-9 to represent boys to answer the question below. 3199 9288 1023 1130 0809 1770 6231 7538 8927 4761 7258 7111 0209 0916 1450 9848 4654 7579 6150 3093 9608 0061 4014 9501 0382 3052 2385 9074 1664 6551 6577 1811 3454 5870 1277 5056 1063 5697 9141 4120 9181 1343 0168 3693 0463 4842 1704 3774 4908 4161 6404 9675 2518 3988 4268 6083 0636 9634 5295 5656 1918 3133 6831 8393 6363 2452 1531 1638 1317 2279 9395 0702 2091 5269 0422 0275 3373 1424 1958 0356 5163 0743 6658 6257 2772 0570 4522 2665 0890 3560 5549 2238 2172 9715 9741 4975 6617 9034 4441 8220 Based on the results of the simulation, what is the experimental probability that a group will include only boys? Based on the results of the simulation, what is the experimental probability that a group will not contain four boys? Based on the results of the simulation, if 224 groups are formed, about how many of them would you expect to contain all girls? Round your answer to the nearest number of groups.

One learning aid that  provides an interactive​ walk-through for solving the particular problem you are working on is "view an example"

It is also known as teaching aids, which are an essential part of any classroom. Teaching aids can help students improve their reading comprehension skills, illustrate or reinforce a skill or concept, differentiate instruction, and relieve anxiety or boredom by presenting information in a new and exciting way.

Teaching aids also engage students' other senses because there are no restrictions on what aids can be used to supplement a lesson. As technology advances, so do teaching aids, which are now classified as audio aids, visual aids, mechanical teaching aids, audio-visual aids, and more.

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Answer:

6

Check if you have written the function equation properly. If you have, this is the answer

Step-by-step explanation:

Average rate of change is the first differential of the function

Given function is f(x) = 6x + 5

Rate of change = f'(x) = d/dx(6x) + d/dx(5)

= 6 + 0

= 6

The average rate of change(slope) is a constant throughout all values of the function and so also between[4, 7]

Answer:

[tex]\frac{61}{10}[/tex]

Step-by-step explanation:

14/5=28/10

By changing the denominator so that they are equal, you can now add the two fractions together.

(28/10)+(33/10)=61/10

Hope this helped! :)

The value regarding the probability shows that n is 5, p is 0.4 and q is 0.6.

Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur.

a)n=5

P=40%=0.4

q=1-p=1-0.4=0.6

b)p(x)= nc x p x q^n-x

p(x=3)=5C3×0.4^3×0.6^2

=0.2304

C) E(x)=np=5×0.4=2

Expected number of applications that will need research is 2

d)or(at least the expected number of applications)=p(x≥2)=1-p(x<2)

=1-{p(x=0)+p(x=1)

=1-{5C0×0.4^0×0.6^5 +5C1×0.4^1×0.6^4}

=1-0.3370

=0.6630

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