One factor of the function f(x) = x ^ 3 - 8x ^ 2 + 17x - 10.5(x - 5) Describe how to find the x-intercepts and the y-intercept of the graph of f(x) without using technologyShow your work and include all intercepts in your answer.

Answers

Answer 1

Answer:

x-intercept(s): (−1.9900717, 0)

y-intercept(s): (0, 52.5)

Step-by-step explanation:

To find the x-intercept, substitute in $0$ for $y$ and solve for $x$. To find the y-intercept, substitute in $0$ for $x$ and solve for $y$ .

$f(x)=y$

$(x)=x$

x-intercept

To find the x-intercept(s), substitute in $0$ for $y$ and solve for $x$ .

$f(x) = x ^ 3 - 8x ^ 2 + 17x - 10.5(x - 5$

$=\bold{0}=x^3-8x^2+17x-10.5\left(x-5\right)$

$=0\cdot \:10=x^3\cdot \:10-8x^2\cdot \:10+17x\cdot \:10-10.5\left(x-5\right)\cdot \:10$

$=0=10x^3-80x^2+170x-105\left(x-5\right)$

$=0=10x^3-80x^2+65x+525$

$=10x^3-80x^2+65x+525=0$

$=10x^2-99.90071\dots x+263.80959\dots \approx \:0$

$\bold{x\approx \:-1.99007\dots}$

y-intercept

$f(x) = x ^ 3 - 8x ^ 2 + 17x - 10.5(x - 5$

$=y=\bold{0}^3-8(\bold{0})^2+17(\bold{0})-10.5\left(\bold{0}-5\right)$

$=y=0-8\cdot \:0+17\left(0\right)-10.5\left(0-5\right)$

$=y=0-8\cdot \:0+17\cdot \:0-10.5\left(0-5\right)$

$=y=0-0+0-\left(-52.5\right)$

$=0-0+0+52.5$

$\bold{y=52.5}$

One Factor Of The Function F(x) = X ^ 3 - 8x ^ 2 + 17x - 10.5(x - 5) Describe How To Find The X-intercepts

Related Questions

I'LL MARK THE BRAINLIEST
The length of a radius of a circle, measured in feet, is represented by the expression z + 3.6. The diameter of the circle is 11 4/5 ft.

What is the value of z?

Enter your answer as a decimal or mixed number in simplest form in the box.

Answers

The value of z in the circle is 2.3 units

How to determine the value of z in the circle

In the question, the following statements represents the given parameters

The length of a radius of a circle is represented by the expression z + 3.6. The given circle diameter is 11 4/5 ft.

As a general rule, the diameter of a circle is the radius doubled

So, we have

2 * (z + 3.6) = 11 4/5

Express as decimal

2 * (z + 3.6) = 11.8

So, we have

z + 3.6 = 5.9

Evaluate the like terms

z = 2.3

Hence, the value of z is 2.3

Answers

Answer:

285.1 in.²

Step-by-step explanation:

The circle is a ¾ circle.

Area of the figure = ¾(πr²)

Radius (r) = 11 in.

Plug in the value

Area = ¾(π*11²)

Area = ¾(π*121)

Area = 285.099533 ≈ 285.1 in.² (nearest tenth)

Graham wrote the system of equations.

6x−8y=−16y=34x+8

What is true about the system of equations that Graham wrote?
A
It has no solution.

B
It has 1 solution.

C
It has 2 solutions.

D
It has infinitely many solutions.

Answers

Answer:

Step-by-step explanation:

6x -8y = - 16y

6x = -8y

8y = 17x + 4

-8y = -17x - 4

6x = -17x - 4

23x = -4

x = -4/23

NEEEEEDDDD HELPPPPPP PLEASE...........
Solve for [x]. Each figure is a trapezoid.

Answers

Answer:

Step-by-step explanation:

Opposite sides of a trapezoid are parallel. So, by the same-side interior angles theorem,

$-16x+10x+86=180 \\ \\ 10x+70=180 \\ \\ 10x=110 \\ \\ x=11$

The map below shows the locations of the houses of Maria Reese and Paul.what are the coordinates of Steve's house who lives 2 miles form Paul and 1 mile form Reese. Please help

Answers

Answer:

Coordinates of Steve's House are S (3,2)

The required coordinate of the Steves's house is (3,2).

The map below shows the locations of the houses of Maria Reese and Paul, coordinates of Steve's house who lives 2 miles from Paul and 1 mile from Reese is to be determined.

What is coordinate?

Coordinate, is represented as the values on the x-axis and y-axis of the graph

Here,
Since Steve's house lives 2 miles from Paul's, So the Y coordinate of Steve's house will raise to 2 more than the Y coordinate of Paul, So Y = 0 + 2 = 2
Now, Steve's house lives 1 mile from Reese x coordinate of Steve's house will raise to 1 more than the x coordinate of Reese, So X = 2 + 1 = 3

Thus, the required coordinate of the Steves's house is (3,2).

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What is the final amount if 700 is increased by 4% followed by a further 3% increase

Answers

Answer:

8400

Step-by-step explanation:

Its too long and I answered it before

Consider parallelogram JKLM, where the perimeter of the parallelogram is 86 inches.

What is the value of x?

Responses

−3

− − 3

18

18

24.5

24.5

25

Answers

25.5parallelogramConsider parallelogram JKLM, where the perimeter of the parallelogram is 86 inches.

What is the value of x?

Responses

−3

− − 3

24.5

< Notes
A frim has the demand
in the form
function
p=a-bQ. The number of
units demanded is 60
when the price is RS.40
and 50 when the price is
RS.60. Find the values of
a,b and the demand
function.
...

Answers

Answer:

p = 160 - 2Q

Step-by-step explanation:

To find the values of 'a' and 'b' in the demand function p = a - bQ, we can use the given information about the demand at different price levels.

We are given two data points:

When the price (p) is RS.40, the quantity demanded (Q) is 60.

When the price (p) is RS.60, the quantity demanded (Q) is 50.

Using these data points, we can set up a system of equations to solve for 'a' and 'b'.

Equation 1: RS.40 = a - b(60)

Equation 2: RS.60 = a - b(50)

Let's solve this system of equations:

From Equation 1:

40 = a - 60b (multiply both sides by -1)

From Equation 2:

60 = a - 50b

Now, we have two equations with two variables. We can solve them simultaneously using any method (substitution, elimination, or matrices). Let's use the substitution method:

Substitute the value of 'a' from Equation 1 into Equation 2:

60 = (40 + 60b) - 50b

60 = 40 + 60b - 50b

60 = 40 + 10b

10b = 60 - 40

10b = 20

b = 20/10

b = 2

Now, substitute the value of 'b' back into Equation 1 to find 'a':

40 = a - 60(2)

40 = a - 120

a = 40 + 120

a = 160

Therefore, the values of 'a' and 'b' are a = 160 and b = 2.

The demand function can now be written as:

p = 160 - 2Q

Complete the table and find the balance A if $3100 is invested at an annual percentage rate of 4% for 10 years and a compounded n times a year. Complete the table

Answers

The balance for each value of n is calculated by using the formula A = P(1 + r/n) ^nt. The rounded balance values are shown in the last column of the table above.

To complete the table and find the balance A if $3100 is invested at an annual percentage rate of 4% for 10 years and compounded n times a year.

The formula for calculating compound interest is as follows:

A = P(1 + r/n) ^nt,

where P represents the principal investment amount, r is the interest rate, n is the number of times the interest is compounded, t represents the time in years, and A represents the total amount, which includes the principal amount and the interest earned.

The table is given below:
\(\begin{array}{|c|c|c|} \hline \text{n} &

\text{A = P(1 + r/n) }^{nt} &

\text{Balance (rounded to nearest cent)} \\ \hline \text{1} &

\text{3100(1 + 0.04/1)}^{1*10} &

\text{\$4788.03} \\ \hline \text{2} &

\text{3100(1 + 0.04/2)}^{2*10} &

\text{\$4798.76} \\ \hline \text{4} &

\text{3100(1 + 0.04/4)}^{4*10} &

\text{\$4817.46} \\ \hline \text{12} &

\text{3100(1 + 0.04/12)}^{12*10} &

\text{\$4861.94} \\ \hline \end{array}\)

The balance is obtained by substituting the values of P, r, n, and t into the compound interest formula.

In this case, the investment is $3100, the annual interest rate is 4%, the investment is for 10 years, and n is the number of times the interest is compounded.

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simplify the equation

Answers

Answer:

B. 8d¹⁵e³f⁹

Step-by-step explanation:

When an exponent is raised to an exponent, you multiply them together.

For example, (d⁵)³ = d¹⁵

there are 25 student in a class. five of then scored A and 10 of them score B while the other scored C for Biostatistics. if a student is selected at random, calculate the probability that the selected student scored A or B in biostastics.

Answers

There is a 60% probability that a randomly selected student from the class scored either an A or B in Biostatistics.

To calculate the probability that a randomly selected student scored either an A or B in Biostatistics, we need to consider the number of students who scored A and B and divide it by the total number of students in the class.

Given that there are 25 students in the class, 5 of them scored an A and 10 scored a B. To calculate the probability, we add the number of students who scored A (5) to the number of students who scored B (10):

Number of students who scored A or B = Number of students who scored A + Number of students who scored B = 5 + 10 = 15.

Therefore, the probability that a randomly selected student scored A or B

in Biostatistics is:

Probability = Number of students who scored A or B / Total number of students = 15 / 25 = 0.6 or 60%.

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sorry for asking to much but thank u so much for the answers!!!!!

Answers

The answer is 67 because all triangles add up to 180, so 180-46=134 and 134/2=67

Answer:

x = 67°

Step-by-step explanation:

there are 180 degrees in a triangle and we know that the two corners equal the same amount. so we can set up an equation like this:

180 = 46 + 2x

so now lets subtract 46 from both sides to simplify the equation.

134 = 2x

now we can divide both sides by 2 to get our final answer.

67 = x

we can check our answer by solving this expression:

67 + 67 + 46 = ?

after adding these together, we get 180 so we know our answer is correct.

hope this helped!

Simplify this expression. 20.25−912+11
A. −14
B. 18.75
C. 2134
D. 40.75

Answers

Answer:

i think your answers are wrong because its -880.75 and its not there

A round pencil is sharpened to a cone shape at both ends.calculate the volume of the pencil if the two radius is 1.2 and heights are 8cm

Answers

Answer:

A round pencil is sharpened at both ends the hight of the pencil is 16cm the length of the pencil is 1cm the radius of the two sharpened ends is 16cm 1.2cm

Calculate the volume using the value 22/7.

Step-by-step explanation:

What is the measure of the unknown angle?

Image of a straight angle divided into two angles. One angle is thirty five degrees and the other is unknown.

Answers

Answer:

145

Step-by-step explanation:

Angles in a straight line = 180

So,

Let unkown angle be x,

x+35=180

x=180-35

x=145

Answer:

Unknown angle = 145

Step-by-step explanation:

Straight line = 180

Given angle = 35

Unknown angle = ?

180 - 35 = ?

? = 145

In the figure below, g || m. Find the values of z and y.

Answers

The value of z for the given set of parallel lines is 100 and value of y is 32.

What is lines?

In geometry, a line is an infinitely long and straight one-dimensional figure that extends in both directions. A line is defined by two points and can be represented by a straight line with arrows at both ends to indicate its infinite length. Lines have many properties, such as slope, y-intercept, and equation forms like slope-intercept form and point-slope form. They are fundamental concepts in geometry and are used in various fields, including mathematics, physics, engineering, and architecture.

Here,

80°+z=180°

z=100°

6y-92°=z

6y-92°=100°

6y=192°

y=32

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write
the following numbers using Roman numerals 20

Answers

Step-by-step explanation:

xx is the Roman number of 20

X= 10
(one x equal 10)
XX= 20
(two x’s (10+10) equals 20)

A sport jacket that cost the retailer$25 is marked up$10. Write as a fraction the mark up compared to the cost

Answers

Answer:

2/5

Step-by-step explanation:

markup / cost = 10 /25 = 2/5

Which statement about the location of √7 on the number line is true?
A= It is located at the number 7 on the number line.
B= It is located at the number 3.5 on the number line.
C= It is located between the numbers 2 and 3 on the number line.
D=It is located between the numbers 4 and 9 on the number line

Answers

Answer is C) it is located between the numbers 2 and 3 on the number line

Explanation

The square root of a number is “what number times itself”

2 x 2 = 4

3 x 3 = 9

7 is between 4 and 9 so C is the correct answer

Hey can anyone help with this question please and thank you

Answers

Answer:

(8x-7)=(9x-28)

-x-7=-28

-x=-21

x=21

Step-by-step explanation:

A rectangle has an area of 54 square inches and a length of 6 inches. What is the width, in inches, of the rectangle?

Answers

Answer:

width = 9 in

Step-by-step explanation:

Area = A = length x width = w x l

w = A/l = 54 in²/6 in = 9 in

Bianca calculated the height of the equilateral triangle with side lengths of 10.

tangent (30) = StartFraction 5 Over h EndFraction An equilateral triangle with side lengths of 10 is shown. A bisector is drawn to split the side into 2 equal parts and splits the angle into 2 30 degree segments.
Then, she used the formula for area of a triangle to approximate its area, as shown below.

A = one-half b h. = one-half (10) (8.7). = 43.5 units squared.

Calculate the area of the equilateral triangle using the formula for area of a regular polygon, and compare it to Bianca’s answer.

The apothem, rounded to the nearest tenth, is
2.9
units.

The perimeter of the equilateral triangle is
units.

Therefore, the area of the equilateral triangle is
, or approximately 43.5 units2.

The calculated areas are
.

Answers

The calculated areas are the same for regular polygon and equal to 43.5 units squared.

What is area of polygon?

The area of polygon is given by the formula:

A = (1/2)ap,

where A is the area, an is the apothem (the distance from the centre of the polygon to the midpoint of any side), and p is the polygon's perimeter, is the formula for calculating the area of a regular polygon.

The apothem of the equilateral triangle can be found using the formula:

a = s / (2 tan(π/n))

Substituting the value of s = 10 we have, and n = 3 side.

a = 10/ / (2 tan(π/3))

a ≈ 2.9 units

The perimeter of the triangle is given as:

p = 3 x 10 = 30 units

Now, the area of the triangle is given as:

A = (1/2)ap

A = (1/2)(2.9)(30) = 43.5 sq. units.

Hence, the calculated areas are the same and equal to 43.5 units squared.

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Answer:

Step-by-step explanation:

Bianca’s answer.

The apothem, rounded to the nearest tenth, is

✔ 2.9 units.

The perimeter of the equilateral triangle is

✔ 30 units.

Therefore, the area of the equilateral triangle is

✔ 1/2(2.9)(30) , or approximately 43.5 units2.

The calculated areas are

✔ the same, despite using different formulas

A card game requires that you have a sum of 5 in order to win. Based on the cards shown below, will Cameron win the game?
3 11 -5 -8 -2 1

Answers

Answer:

I don't think so

Step-by-step explanation:

The sum is the numbers added together and 3+1 -5 -8 -2+1=-10 so you did not get 5

No, Cameron will not win the game.

What is Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

A card game requires that you have a sum of 5 in order to win.

Now, Let us calculate the sum of the cards.

= 3 + 11 + (-5) + (-8) + (-2) + 1

= 0.

Since, the sum is not equal to 5,

Hence, Cameron will not win the game.

So, Cameron needs to draw more cards and hope that they add up to 5 to win the game.

Thus, Cameron will not win the game.

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Work out the volume of the prism height of 12 4 and five

Answers

The calculated volume of the prism is 702 cubic cm

Finding the volume of the prism

From the question, we have the following parameters that can be used in our computation

The trapezoidal prism (see attachment)

The formula of the volume of a trapezoidal prism is

Volume = Base area * Height

Where we have

Base area = 1/2 * (8 + 10) * 6

Evaluate the sum of 8 and 10

Base area = 1/2 * 18 * 6

Evaluate the products of 1/2, 18 and 6

Base area = 54

Also, we have

Height = 13

So, the volume is calculated as

volume = 13 * 54

Evaluate

volume = 702

Hence, the volume of the prism is 702 cubic cm

Answers

Step-by-step explanation:

in a management information system, the quality of information is determined by its usefulness to users, and its usefulness determines the success of the information system.

find the sum of (2c+6)+3(c+8) pls help me for 15 points and a brainiest!!!

Answers

Answer:

(2c+6)+3(c+8)

=2c+6+3c+24

=5c+30

Asher opened a savings account by making an initial deposit and setting up weekly automatic deposits as shown in the graph. How much was Asher's initial deposit?
what is the amount of Asher's weekly deposit?
write and equation to represent the situation?

Answers

Answer:

y = 7.5x + 20

Step-by-step explanation:

As per the graph, the y-intercept is 20 which is the initial amount.

Another marked point has coordinates (4, 50).

The slope is:

m = (50 - 20)/4 = 7.5

The equation of the line is:

y = 7.5x + 20

$20 is the initial deposit and weekly deposit is $7.5

Answer:

20 is the initial deposit and weekly deposit is $7.5

Triangle ΔABC has side lengths of a = 18, b=$18\sqrt{3}$, and c = 36 inches.

Part A: Determine the measure of angle A.

Part B: Show how to use the unit circle to find tan A.

Part C: Calculate the area of ΔABC.

Answers

Answer:

Step-by-step explanation:

$Triangle ABC has side lengths of a = 18, b=[tex]18\sqrt{3}[/tex], and c = 36 inches.Part A: Determine$

Alex raised $138.75 for his school's Walk-A-Thon. He donated $14.50 of his own money and wrote the equation d - 14.50 = 138.75 to find out how much was donated by others. Determine his mistake and correct it.

Answers

Answer:

The minus shouls be a plus.

Step-by-step explanation:

138.75 is the total that everyone donated, Alex himself and others. Thus, 138.75 = d + 14.50.

How Alex wrote it implies that 14.50 was taken away from the donations of others to get the total of 138.75

Approximately percent of senate incumbents win reelection. select one: a. 57 b. 65 c. 74 d. 84 e. 98

Answers

84percent of Senate incumbents win reelection in the United States.

In the United States, Senate incumbents have a high rate of re-election. This is due to a number of factors, such as name recognition, access to resources, and the advantages of incumbency. According to the Center for Responsive Politics, 84% of Senate incumbents have won re-election since 1982, with an average of 84.5% over that period. This figure is higher than the rate of re-election for House incumbents, which stands at around 90%. This indicates that while incumbency is an advantage in Senate races, it is not as strong as it is in House races.84% of Senate incumbents win reelection in the United States.

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The Approximate percent of senate incumbents that have win the reelection is (d) 84% .

In the united States Of America , The Incumbents have a very high rate of Re-election because of various factors which are access to resources , the name recognition and advantage of incumbency .

So , by the Center of Responsive Politics , the 84% of senate incumbents have won the reelection since the year 1982 where the average percent of win is 84.5% .

Whereas , the rate of reelection in the house of incumbents is 90% which is higher that the Senate Incumbents .

Therefore , approximately 84% of the senate incumbents win the re-election .

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