What is the answer please.... need help

What Is The Answer Please.... Need Help

Answers

Answer 1

Answer:

[tex]f\left(x\right)=x^3-6x^2+3x+10[/tex] is the function of the least degree has the real coefficients and the leading coefficients of 1 and with the zeros -1, 5, and 2.

Step-by-step explanation:

Given the function

[tex]f\left(x\right)=x^3-6x^2+3x+10[/tex]

As the highest power of the x-variable is 3 with the leading coefficients of 1.

So, it is clear that the polynomial function of the least degree has the real coefficients and the leading coefficients of 1.

solving to get the zeros

[tex]f\left(x\right)=x^3-6x^2+3x+10[/tex]

[tex]0=x^3-6x^2+3x+10[/tex]              ∵  [tex]f(x)=0[/tex]

as

[tex]Factor\:x^3-6x^2+3x+10\::\:\left(x+1\right)\left(x-2\right)\left(x-5\right)=0[/tex]

so

[tex]\left(x+1\right)\left(x-2\right)\left(x-5\right)=0[/tex]    

Using the zero factor principle

if  [tex]ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]

[tex]x+1=0\quad \mathrm{or}\quad \:x-2=0\quad \mathrm{or}\quad \:x-5=0[/tex]

[tex]x=-1,\:x=2,\:x=5[/tex]

Therefore, the zeros of the function are:

[tex]x=-1,\:x=2,\:x=5[/tex]

[tex]f\left(x\right)=x^3-6x^2+3x+10[/tex] is the function of the least degree has the real coefficients and the leading coefficients of 1 and with the zeros -1, 5, and 2.

Therefore, the last option is true.    


Related Questions

Item 12 You need to read 20 poems in 5 days for an English project. Each poem is 2 pages long. Evaluate the expression 20×2÷5 to find how many pages you need to read each day.

Answers

Answer:

8 pages

Step-by-step explanation:

It is given that,

You need to read 20 poems in 5 days for an English project. Each poem is 2 pages long.

We need to find no of pages you need to read each day. Let the no of pages are x. It can be calculated as follow :

[tex]x=20\times 2/5\\\\=20\times \dfrac{2}{5}\\\\=4\times 2\\\\=8[/tex]

Hence, there are 8 pages you need to read each day.

you have 50$ and want to buy some shoes that cost $45. the tax rate for the shoes is 7%. do you have enough money to buy the shoes?

Please answer questions answer don't write a random word I will report and get banned from the site

Answers

Answer:

Yes, you have enought money

Step-by-step explanation:

45 times 107% (100 for the total cost and and 7 for the tax) is equal to 48.15. You have 50 dollars, therefore you can buy your shoes.

can someone help me ASAP please​

Answers

Answer:

46 degrees

Step-by-step explanation:

Answer:

[tex]x = 46[/tex]

Step-by-step explanation:

First I identified that 2 of side lengths are the same, being 5. Then 88° is inbetween them, so I now know that both missing angles will be equal. This works with all triangles, if 2 sides equal the same then 2 angles will be equal.

So now we know a triangles angles always add up to be 180, so now we just subtract and divide.

[tex]180 - 88 = 92[/tex]

So now we know the sum of both missing angles so we can just divide the value in half because both angles are the same.

[tex]92 \div 2 = 46[/tex]

Now we know x=46°

Please help with this, all I need is for this paper to be done and then I’ll have a good grade in algebra

Answers

Answer:

use desmos.

Step-by-step explanation:

demos. All you have to do is out the equation into Desmos and it will graph it for you. You can look and learn.

4x+5y=9
4x−2y=2
x= y=

Answers

Answer:

For example, the solution to the equations 2x + 3y = 15 and x - y = -10 is x = -3 ... Equation 2: 4x + 2y = 20

Answer:

x=0, y=0 this is so easy

Show work thanks please help me

Answers

Answer:

∠ JKL = 32°

Step-by-step explanation:

Since KN bisects ∠ LKM , then

∠ LKN = ∠ NKM = 35°

Thus

∠ JKL = ∠ JKM - ∠ LKN - ∠ NKM

         = 102° - 35° - 35°

        = 102° - 70°

         = 32°

Unit rate $80 For 16 tickets?

Answers

80/16 = 5

Unit rate: $5 / ticket

Answer: each ticket cost 5 dollar

Step-by-step explanation: if you do 80 divide 16 you will get 5. So if you did 5x16 you would get 80.

SOmeone SMART HELP ME OMG

Answers

Answer:

x = 7, arc DE = 198°

Step-by-step explanation:

Inscribed angles from the same arc are congruent.

∠ DCE and ∠ DWE are inscribed angles from the same arc DE , thus

12x + 15 = 3x + 78 ( subtract 3x from both sides )

9x + 15 = 78 ( subtract 15 from both sides )

9x = 63 ( divide both sides by 9 )

x = 7

Thus

∠ DCE = 12x + 15 = 12(7) + 15 = 84 + 15 = 99°

The inscribed angle DCE is half the measure of its intercepted arc, thus

arc DE = 2 × 99° = 198°

There are 5 less oranges on the tree today than there was yesterday

Plz help

Answers

that’s all ? is there like no other explanation to make it understood better ?

The no. of apples on the tree today

= The no. of apples on the tree yesterday - 5

Let us take 'the no. of apples on the tree today' as 'x'

and 'the no. of apples on the tree today' as 'y'

Therefore, x = y - 5

Hope this is the thing u are looking for

pls answer seriouslyyy thank u

Answers

Answer:

See Explanation

Step-by-step explanation:

3.

XY is tangent at P and CP is radius

[tex] \therefore CP\perp XP\\(\because tangent\: is \: perpendicular \: to\: radius) \\\\

\therefore m\angle CPX = 90\degree \\[/tex]

4.

Radius of the circle = diameter /2 = 13/2 = 6.5.cm

5.

For BD to be be tangent to the circle with center C, BD should make right angle with radius CB.

[tex] AD^2 [/tex] should be equal to the sum of the squares BD and AB.

Let us work it out:

[tex] AD^2 = 7^2 = 49....(1)\\

AB^2 + BD^2 = 5^2 +5^2 \\

AB^2 + BD^2 = 25 + 25 \\

AB^2 + BD^2 = 50....(2) \\[/tex]

From equations (1) & (2), it is obvious that:

[tex] AD^2 \neq AB^2 + BD^2[/tex]

So, BD is not tangent to the[tex] \odot\: C. [/tex]

6.

Tangents drawn from an external point to a circle are congruent.

In circle with center C, BA and BD are tangents drawn from external point B.

Therefore,

BA = BD

x = 4

7.

In circle with center C, BA and BD are tangents drawn from external point B.

Therefore,

BD = BA (tangents drawn from external point to a circle)

x = 2

8.

In circle with center C, BA and BD are tangents drawn from external point B.

Therefore,

BA = BD (tangents drawn from external point to a circle)

2x = 10

x = 10/2

x = 5

[BRAINLIEST] To manufacture an automobile requires​ painting, drying, and polishing. Epsilon Motor Company produces three types of​ cars, the​ Delta, the​ Beta, and the Sigma. Each Delta requires hours for​ painting, hours for​ drying, and hours for polishing. A Beta requires hours for​ painting, hours for​ drying, and hours for​ polishing, and a Sigma requires hours for​ painting, for​ drying, and for polishing. If the company has hours for​ painting, hours for​ drying, and hours for polishing per​ month, how many of each type of car are​ produced?

Answers

Answer:

The company manufactures 5 delta cars, 8 beta cars and 12 sigma cars.

Step-by-step explanation:

let in the motor company x number of delta cars, y number of beta cars and z number of sigma cars are manufactured.

from the condition given in the question we can write

9x + 13y + 9z = 257 ........ (1)

4x + 6y + 4z = 116 ........... (2) and    

3x + 4y + z = 59 ......... (3)

From equation (2) we get

9x + 13.5y + 9z = 261 ....... (4) {Multiplying with  both sides}

solving equations (1) and (4) we get

0.5y = 4

and ⇒ y = 8.

from equation (2) putting the value of y we get,  

4x + 4z = 116 - 48 = 68

⇒x + z = 17 .....(5)

Now, from equation (3) putting y = 8 we get,  

3x + z = 59 - 32 = 27 ....... (6)  

hence, solving equations (5) and (6) we get, 17 - x = 27 - 3x

⇒ 2x = 10

⇒ x = 5  

So, z = 17 - x = 12

therefore, the company manufactures 5 delta cars, 8 beta cars and 12 sigma cars.

Solve for x and y by elimination 3x+y=-1

Answers

Answer:

we need 2 equations to solve by elimination

Answer:

Step-by-step explanation:

for x

3x + y = -1

subtract 3x from both sides

y = -3x - 1

answer

for y

3x + y = -1

subtract y on from both sides

3x = -y -1

divide by 3

x = -1/2y - 1/3

answer

Pleaseeee help ill make u brain list

Answers

Answer:

a and c

Step-by-step explanation:

Express the following ratios in simplest form: 20:40

Answers

Answer:

1:2

Step-by-step explanation:

By dividing both sides by 20 you will get 1:2 which is the same thing as 20:40 if you multiply 1:2 on both sides by 20

Answer:

1 : 2

Step-by-step explanation:

20 : 40

20/10 : 4/10

2 : 4

2/2 : 4/2

1 : 2

Melanie rides her bike. The circumference of her bike tire is 2.8 m, and the tire revolves 1.5 times per second. What is the distance Melanie rides in 100 seconds?

Answers

Answer:

420 m

Step-by-step explanation:

The distance travelled in 1 second:

2.8 m * 1.5 revolves

= 2.8 * 1.5

= 4.2 m

Distance travelled in 100 seconds:

4.2 m * 100

= 420 m

Hope this helped!

Solve the simultaneous equations
x + 6y = 20
x + 3y = 14
x =
Y=

Answers

Answer:

x = 8, y = 2

Step-by-step explanation:

Multiply the second equation by -2:

x + 6y = 20

-2x - 6y = -28

Add the equations and simplify:

-x = -8

x = 8

Plug x = 8 back into the first equation and solve for y:

8 + 6y = 20

6y = 12

y = 2

Answer:

x=8

Y=2

or

(x,y)=(8,2)

Step-by-step explanation:

x+6y=20

x+3y=14

solve the equation for x

x+6y=20

x=14-3y

substitute the given value of x into the equation

x+6y=20

14-3y+6y=20

14+3y=20

3y=20-14

3y=6

3y/3=6/3

y=2.

substitute the given value of y into the equation

x=14-3y

x=14-3×2

x=14-6

x=8.

the possible solution of the system is the ordered pair (x,y)

(x,y)=(8,2)

or

x=8

Y=2

Proof:

Check if the given ordered pair is the solution of the system of equations

8+6×2=20

8+3×2=14

simply the equalities

20=20

14=14

since all of the equalities are true, the ordered pair is the solution of the system

(x,y)=(8,2)

What is the percent change from 9,000 to 900?

Answers

Answer:

-90%

Step-by-step explanation:

Change/ original x 100

9000-900= 8100

8100/9000= 0.9

0.9 x 100 = 90

I WILL MARK YOU BRAINLIEST PLEASE HELP. It needs to be correct

Answers

Answer:

a) Center of dilation (0,0)

b) Scale factor = 2

Step-by-step explanation:

Dilation of Polygons

The triangle ABC has its vertices at A(-2,2), B(4,2), and C(-2,-2).

The triangle A'B'C' has its vertices at A'(-4,4), B'(8,4), and C'(-4,-4).

Since A'B'C' is a dilation of ABC, we check if all its vertices are proportional with the same scaling factor.

Both vertices of A' are twice the vertices of A: (-4,4)=2*(-2,2)

Both vertices of B' are twice the vertices of B: (8,4)=2*(4,2)

Both vertices of C' are twice the vertices of C: (-4,.4)=2*(-2,-2)

a)

The proportionality of the coordinates of the vertices tells us the center of dilation must be the origin of coordinates (0,0).

b)

The scale factor is the constant number all the vertices are multiplied by, that is, scale factor = 2

Which of the following is equivalent to 1/8?
A.
1 to 8
B.
2 to 8
C.
8 to 1

Answers

Answer: 1 to 8
Reason: because there’s 1 of 8 items is the same ratio

Elena went to a store where you can scoop your own popcorn and buy as much as you want. She bought 10 ounces of spicy popcorn for $2.50. How much popcorn can you buy per dollar? Do not include units (oz) in your answer.

Answers

Answer:

4

Step-by-step explanation:

$2.50 → 10 ounces

$1.00 → (10/2.50 x 1.00) ounces = 4 ounces

evaluate the expression 8/d + 3 when d=4

Answers

Answer: 5,

Step-by-step explanation: I got it right, and I hope this helps you! ✨

Answer:

the evaluation of the equation is 5

Step-by-step explanation:

To add fractions, find the LCD and then combine.

What is the slope of the line through (-1, 4) and (1,-2)? ​

Answers

Answer:

-3

Step-by-step explanation:

The rise is 6 and the run is 2

please help i’m so close to being done :(

Answers

Answer:39 i dont im 12 ps out

Step-by-step explanation:

Anyone willing to help? Surprise included

Answers

Answer:

An arithmetic sequence has a constant difference between each term.

For example: 2,4,6,8,10,12,…

We can see clearly that all the terms differ by +2.

We call this the common difference, d.

A geometric sequence has a constant ratio (multiplier) between each term.

An example is: 2,4,8,16,32,…

So to find the next term in the sequence we would multiply the previous term by 2.

This is called the common ratio, r.

These sequences are closely related as they both have the same first term, but I hope you can see how different they become if they have a common difference or a common ratio.

We can create a decreasing arithmetic sequence by choosing a negative common difference.

Similarly, a decreasing geometric sequence would have a common ratio of less than 1.

Step-by-step explanation:

10

44:25

The monthly mean salaries and standard deviations of four college students are given below.

Standard Deviation

12.53

Student

Clarissa

Abi

Kaila

Shenika

Mean

$345

$598

$812

$208

8.99

15.29

7.67

Which statement must be true?

O The monthly salary of Shenika is less spread out than the monthly salary of Clarissa,

O The monthly salary of Kaila is less spread out than the monthly salary of Abi.

O The monthly salary of Abi is less spread out than the monthly salary of Shenika.

O The monthly salary of Clarissa is less spread out than the monthly salary of Abi.

Save and Exit

Next

Submit

Mark this and return

Answers

Answer: The monthly salary of Shenika is less spread out than the monthly salary of Clarissa.

Step-by-step explanation:

Standard deviation measures the spread around the mean of the different variables.

Shenika's monthly salary has a standard deviation of 7.67 while Clarissa has a standard deviation of 12.53. This means that Shenika's monthly salary is less spread out than the monthly salary of Clarissa.

Brainlyest

write an expression for each of these expressions
A.divide 37 by a

B.subtract b from 55

C.add 18 to c

D.multiply 49 by d

E.divide e by 62

Answers

A. 36/a
B. 55-b
C.18+c
D.49d
E.e/62

PLEASE PLEASE HELP.

Answers

Answer:

120 square feet

Step-by-step explanation:

they are similar so they are in a ratio 20/10=2 so smaller triangle is twice the larger one 6×2=12ft

area of triangle =1/2×base×height

=1/2×20×12

=120 square feet

How do I solve this equation and check the solutions?

Answers

[tex]x = - 10 \\ [/tex]

[tex]x = 2[/tex]

Step-by-step explanation:

[tex] \sqrt{20 - 8x} = \times [/tex]

[tex]20 - 8x = {x}^{2} [/tex]

[tex] {x}^{2} + 8x - 20 = 0[/tex]

[tex]x = - 10[/tex]

[tex]x = 2[/tex]

Which is better, Radiologist technologist or Financial manager? I can't decide ah!​

Answers

Answer:

technologist

Step-by-step explanation:

technologist is best

Answer:

Financial managers are typically more open and charismatic individuals, which can lead a team and make correct decisions. If your leadership and decisive skills are good, great! Financial manager is better for you.

Meanwhile, radiologist technologist (or just radiologists) are doctors who oversee x-ray operations, MRIs or PET scans. They are typically very specialized into this kind of field. If you're more into this kind of job, then go for it!

Step-by-step explanation:

Thanks, and please give Brainliest!

What is the domain and range please?

Answers

Answer:

domain is the max and min x values

range is the max and min y values

Step-by-step explanation:

In its simplest form the domain is all the values that go into a function, and the range is all the values that come out.
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