Can someone help me with this question? I've been stuck on it for a while :(

Answers

Answer 1

Answer:

f(x) = x³ -4x² -5x +20

Step-by-step explanation:

If the function is to have rational coefficients, each complex or irrational square root must have a matching conjugate. That is, both -√5 and +√5 must be roots. If there is a root p, then there is a factor (x -p). The factored form of the minimal polynomial is ...

f(x) = (x -4)(x +√5)(x -√5)

= (x -4)(x² -5)

f(x) = x³ -4x² -5x +20

Related Questions

Create a shape with an area of 0.8 m2 and a perimeter close to 400 cm

Answers

The dimension of the shape is approximately 1.45 meters by 0.55 meters

Assume the shape is a rectangle, that has the following dimensions.

Length = x

Width = y

So, the area is:

Area = xy

The perimeter is

Perimeter = 2(x + y)

Substitute known values

[tex]\mathbf{xy = 0.8m^2}[/tex]

[tex]\mathbf{2(x+y) = 400cm}[/tex]

Express cm as m

[tex]\mathbf{2(x+y) = 4m}[/tex]

Divide through by 2

[tex]\mathbf{x+y = 2m}[/tex]

Make x the subject (ignore the units)

[tex]\mathbf{x= 2 - y}[/tex]

Substitute 2-y for x in [tex]\mathbf{xy = 0.8m^2}[/tex]

[tex]\mathbf{(2-y)y = 0.8}[/tex]

Open brackets

[tex]\mathbf{2y-y^2 = 0.8}[/tex]

Rewrite as:

[tex]\mathbf{y^2 - 2y + 0.8 = 0}[/tex]

Using a calculator, we have:

[tex]\mathbf{y \approx (0.55,1.45)}[/tex]

Recall that:

[tex]\mathbf{x= 2 - y}[/tex]

So, we have:

[tex]\mathbf{x \approx (2-0.55,2-1.45)}[/tex]

[tex]\mathbf{x \approx (1.45,0.55)}[/tex]

Hence, the dimension of the shape is approximately 1.45 meters by 0.55 meters

Read more about areas and perimeters at:

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Reed has 3 boards. Each board is 4 yards long. Reed needs to cut 2 -foot-long sections for his project. What is the maximum number of 2 -foot-long sections Reed can cut from the boards?

Answers

Answer:

Step-by-step explanation:

3 boards that are 12 feet long = 38÷2=19

If x = 5, find the value of
a) x2
b) (x + 3)^2.

the 2 is meant to be squared

Answers

Answer:

a)since x=5

x²= 5×5

=25

b)(x+3)²

x=5

5+3=8

8²=8×8

=64

☆Answer : x = 5

Soo :

a) x² = 5² = 5•5 = 25

b) (x + 3)² = (5 + 3)² = 8² = 8•8 = 64

please help me woth this

Answers

What you would want to do is first graph the points it lists to you which are -6,6 and 1,6, remember the first number of the coordinate is X and the second number is Y. The X is on the horizontal line while the Y is vertical. Once you find the general place where the rectangle would go you would have to find the perimeter which is 30. The total perimeter can be found by using the equation P = 2L + 2W which just means the length of a side multiplied by 2 plus the width of a side multiplied by 2 equals the perimeter. I don’t have enough time to answer it fully but you would need to plot the coordinates, then find a place where the rectangle would have a perimeter equal to 30. Good luck on your question.

Write the equation of the line in Slope-Intercept Form given the information below. Slope =4 Point =(1,−1) slope-intercept form

Answers

Answer:

y = 4x + -1/1

-1/1 as a fraction. Down by 1 and right by 1

The equation of line in slope intercept form which is passing through

(1, -1) is y = 4x -5.

What is the slope of line?

A slope of a line is the change in y coordinate with respect to the change in x coordinate.

What is the equation of line in slope intercept form?

The equation of line in slope intercept form is given by y = mx + c.

According to the given question.

We have

The solpe of the line, m = 4

Also, the point through which the line is passing, [tex](x_{1} , y_{1}) = (1, -1)[/tex]

Since, we know that the equation of line in slope intercept form of the line is given by

y = mx +c

Since, the above line is passing through (1, -1) and the slope is 4.

Therefore,

-1 = 4(1) + c

⇒ -1 = 4 + c

⇒ -1 -4 = c

⇒ c = -5

Substitute the value of m and c in the equation y = mx + c.

⇒ y = mx + c

⇒ y = 4x -5

Therefore, the equation of line in slope intercept form which is passing through (1, -1) is y = 4x -5.

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There are 412 eighth-grade students at a middle school.
• About of the eighth-grade students ride the bus.
• Of the eighth-grade students that ride the bus, are females.
Approximately how many eighth-grade students that ride the bus ?are
male?
A 110
B. 140
C. 165
D. 275

Answers

Answer:

I cant see the numbers...

Step-by-step explanation:

Sorry! I can tell you the answer if you comment on this post.

Last year at a certain high school, there were 60 boys on the honor roll and 100 girls on the honor roll. This year, the number of boys on the honor roll increased by 10% and the number of girls on the honor roll increased by 25%. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).

Answers

Answer:

19.3%

Step-by-step explanation:

There were 10% * 60 = 6 more boys, and 25% * 100 = 25 more girls, so in total 31 more students got on the honor roll. From 160 to 191, the percentage is 31/160 = 0.19375

0.19375 = 19.3%

A scientist collected two sample sets of snowfall data. Which statistic should he use to compare the spread of the two sets of data? median mode mean standard deviation.

Answers

Answer:

standard deviation on edge

Step-by-step explanation:

The statistic should he use to compare the spread of the two sets of data is the standard deviation.

What is a standard deviation?

The standard deviation measures how spread out the data is from the mean, and it is a measure of the average distance of the data points from the mean.

We have,

The standard deviation is the statistic that should be used to compare the spread of two sets of data.

The standard deviation measures how spread out the data is from the mean, and it is a measure of the average distance of the data points from the mean.

A larger standard deviation indicates that the data points are more spread out, while a smaller standard deviation indicates that the data points are more tightly clustered around the mean.

By comparing the standard deviations of the two sample sets of snowfall data, the scientist can determine which set has a larger or smaller spread of data.

Thus,

The statistic should he use to compare the spread of the two sets of data is the standard deviation.

Learn more about standard deviation here:

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I do this do y'all can get extra point and complete challenges!
What is 4 + 4

Answers

I'll only add that distance, d, is the product of time, t, and speed, s.

(Distance, d) = (Time, t x) (Speed, s)

d = ts

330 miles = (6 hours)*(s)

s = 330 miles/6 hours, or 55 mph

Step-by-step explanation:

The constant of proportionality and the equation for the proportional relationship are 55 miles per hour and y = 55x respectively.

What is proportionality?

Two quantities are said to be in direct proportion (or directly proportional), if one is a constant multiple of the other, i.e. y is said to be directly proportional to x if y = kx where k is a constant.

Given that, find the constant of proportionality and write an equation for the following proportional relationship.

"You drove 330 miles in 6 hours."

Here, the constant of proportionality =

330/6 = 55 miles per hour

The equation for the proportional relationship =

y = 55x

Where, y is total distance and x is hour of travelling.

Hence, the constant of proportionality and the equation for the proportional relationship are 55 miles per hour and y = 55x respectively.

Learn more about proportionality, click;

Answers

Answer:

Step-by-step explanation:

Express 6/8 as a percentage.

Answers

Answer:

75%

Step-by-step explanation:

Here, 6/8 = 6/8×100%

= 75%.

Answer:

Step-by-step explanation:

6/8×100%= 75(as we are expressing in percentage so multiplting by 100

how do i do all these problems i don't understand surface area?the paper is named volume and surface area of composite figures plz tell me a easy way im in class

Answers

Answer:

gud luk 4 class

Step-by-step explanation:

volume = all the sides times together

surface area = all side's area plus together

The table shows information about all students in a Year 7 form class.

Age 11 Age 12 Total
Girls 8 9 17
Boys 8 10 18
Total 16 19 35

A student is selected at random from the register.
Find the probability of selecting a boy.
Give your answer in its simplest form.

Answers

Answer:

18/35

Step-by-step explanation:

favorable cases (in this case they are the boys, so 18) divided by possible cases (every student).

y
∝
1
√
x
If
y
=
4
when
x
=
49
find,
x
when
y
=
14

Answers

Answer:

x=4

Step-by-step explanation:

[tex]y \alpha \frac{1}{\sqrt{x} } \\or~y=\frac{k}{\sqrt{x} } \\when~x=49,y=4\\4=\frac{k}{\sqrt{49} } \\k=4 \times7=28\\y\alpha \frac{28}{\sqrt{x} } \\when ~y=14\\14=\frac{28}{\sqrt{x} } \\\sqrt{x} =\frac{28}{14} =2\\squaring\\x=2^2=4[/tex]

IM FAILLING PLZ HELPPPPP MEEEE

Answers

Answer: (x+ 13, y+13)

Step-by-step explanation:

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