please help :( really need answer

Please Help :( Really Need Answer

Answers

Answer 1

Answer:

Options (C) and (F)

Step-by-step explanation:

Polynomial function is,

f(x) = x³ - x² - 5x - 3

Possible rational roots of the given function will be = [tex]\frac{\pm1, \pm3}{\pm1}[/tex]

By putting x = -1

f(-1) = (-1)³ - (-1)² -5(-1) - 3

     = -1 - 1 + 5 - 3

     = 0

Therefore, x = -1 will a root of the given function.

Now we apply synthetic division to get the other roots,

-1 |  1       -1       -5      -3

      ↓      -1         2      3

     1       -2       -3      0

Therefore, factored form of the polynomial will be (x + 1)(x² - 2x - 3).

Now we will find the roots of (x² -2x - 3).

x² - 2x - 3 = x² - 3x + x - 3

                = x(x - 3) + 1(x - 3)

                = (x + 1)(x - 3)

For roots of the function, f(x) = 0

(x + 1)(x - 3) = 0

x = -1, 3

Therefore, roots of the function are x = -1, 3

Options (C) and (F) are the answers.


Related Questions

What’s the correct answer for this?

Answers

Answer:

(0,2)

Step-by-step explanation:

2:4 means one part is 2/(2+4)=1/3 of AB and the other part is 2/3 of AB

Add 1/3 of the distance from -2 to 4. (1/3)(4+2)=2. -2+2=0 The x coordinate is 0

Subtract 1/3 of the distance from 6 to -6, (1/3)6+6)=4 6-4=2 The y coordinate is 2

The point is (0,2)

Please answer this correctly

Answers

Answer:

629

Step-by-step explanation:

l x w

25x14

4x7

12x18

5x7

629

What is the value of x?
A-17
B-26
C-39
D-41

Answers

Answer: 41

Step-by-step explanation:

a^2 + b^2 = c^2

40^2 + 9^2 = c^2

c = √1681 = 41

Answer:

D: 41

Step-by-step explanation:

Using Pythagorean Theorem

c² = a² + b²

Where c is hypotenuse, x

a is the base, 9

b is the perpendicular, 40

Putting in the formula

x² = (40)²+(9)²

x² = 1600 + 81

x² = 1681

Taking square root on both sides

x = 41

Fraction - Subtrction : 15 5/11 - 7 3/12

Answers

Answer:

[tex]= 8 \frac{27}{132} = 8\frac{9}{44}\\ [/tex]

Step-by-step explanation:

[tex]15 \frac{5}{11} - 7 \frac{3}{12} \\ \frac{170}{11} - \frac{87}{12} \\ \frac{2040 - 957}{132} \\ = \frac{1083}{132} \\ = 8 \frac{27}{132} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

8 9/44.

Step-by-step explanation:

15 5/11 - 7 3/12

= 15 - 7 + 5/11 - 1/4       The LCD of 4 and 11 is 44 so we have:

15 - 7 + 20/44 - 11/44

= 8 + 9/44

= 8 9/44.

Dan buys a car for £2300. It depreciates at a rate of 0.2% per year. How much will it be worth in 6 years? Give your answer to the nearest penny where appropriate.

Answers

9514 1404 393

Answer:

  £2272.54

Step-by-step explanation:

An equation for the value is ...

  v = £2300(0.998^t)

Then for t=6, the value is ...

  v = £2272.54

_____

Additional comment

The growth factor (0.998) is (1 - decay rate) = (1 -0.002).

Answer:

the answer is 2272.54

Step-by-step explanation:

:))

find the slope of the line (-5,2) and (4,2)

Answers

Answer:

The answer is 0

Step-by-step explanation:

Find the area of a circle with radius, r = 19cm.
Give your answer rounded to 3 SF.

Answers

pi * 19^2 = 11134.11
1134.11 to 3 sf = 1130

Answer:

1130

Step-by-step explanation:

since radius of the circle was given and the formula of the area is pie r square

Felicia walks 3 blocks west, 4 blocks south, 3 more blocks west, then
2 blocks south again. How far is Felicia from her starting point?
blocks
Answer:

Answers

She is 6 blocks south

What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (-2, 4)?
Oy=-5/2x-1
O y=-5/2x+5
Oy=2/5x-1
Oy=2/5x+5

Answers

Answer:

y=-5/2x-1

Step-by-step explanation:

first find the gradient whereas since the two lines are parallel they hav the same gradient. y=mx+c whereas m is the gradient. 5x+2y=12

2y=-5x+12

y=-5/2x+12(so the gradient is -5/2x..... gradient=-5/2

y-4=-5/2

x+2

y-4=-5/2(x+2)

y-4=-5/2x-5

y=-5/2x-5+4

y=-5/2x-1

The equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (-2, 4) is y = -5/2 x - 1.

What is the Equation of line in Slope Intercept form?

Equation of a line in slope intercept form is y = mx + b, where m is the slope of the line and b is the y intercept, which is the y coordinate of the point where it touches the Y axis.

Given that the equation of the line is,

5x + 2y = 12

2y = -5x + 12

y = -5/2 x + 6

This is in the slope intercept form, where the slope = -5/2.

Slopes of two parallel lines are equal.

So any line parallel to the given line will be of the form y = -5/2 x + c

Given line passes through (-2, 4).

Substituting (-2, 4) in y = -5/2 x + c, we get,

(-5/2) (-2) + c = 4

c = -1

So the equation is, y = -5/2 x - 1

Hence the required equation is y = -5/2 x - 1.

Learn more about Slope Intercept form here :

https://brainly.com/question/21298390

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1. If the ratio of the ages of Kissi and Esinam is 3:5 and that of Esinam and Lariba is 3:5 and

the sum of the ages of all 3 is 147 years, what is the age difference between oldest the

youngest?

Answers

Answer:

37 years difference.

Step-by-step explanation:

K = Kissi

k = Age of Kissi

E = Esinam

e = Age of Esinam

L = Lariba

l = Age of Lariba

k + e + l = 147

K : E

3 : 5 → (×3) → 12 : 15

E : L

3 : 5 → (×5) → 15 : 25

K : E : L

12 : 15 : 25

12 + 15 + 25 = 52

147/52 = 2.8269...

K is the young since out of the three part ratio, 12 is the smallest and likewise, L is the oldest.

k = 12 × 2.8269... = 33.923... → 34 y/o

e = 15 × 2.8269... = 42.40... → 42 y/o

l = 25 × 2.8269... = 70.673... → 71 y/o

The difference between the youngest and oldest is:

71 - 34 = 37

At the neighborhood block party, John noticed that every 5 minutes, the
shadow of a nearby pine tree got six inches longer. The shadow was 12
feet long at 4:15pm. How long was the shadow at 5:00pm?

Answers

Answer:

7

Step-by-step explanation:

I think because at if you divide 45 by 6 because its 45 minutes from 4:15 to 5:00 and it grows 6 inches longer every five min

One vertex of a triangle is located at (0, 5) on a coordinate grid. After a transformation, the vertex is located at (5, 0). Which transformations could have taken place? Select two options. R0, 90° R0, 180° R0, 270° R0, –90° R0, –180°

Answers

Answer:

The Transformations are R(O , -90°) & R(O , 270)

Step-by-step explanation:

* Lets revise the rotation of a point

- If point (x , y) rotated about the origin by angle 90° anti-clock wise

∴ Its image is (-y , x)

- If point (x , y) rotated about the origin by angle 90° clock wise

 (270° anti-clockwise or -90°)

∴ Its image is (y , -x)

- If point (x , y) rotated about the origin by angle 180°

∴ Its image is (-x , -y)

* There is no difference between rotating 180° clockwise (-180°) or  

anti-clockwise (180°) around the origin

* Lets solve the problem

∵ One vertex of a triangle is located at (0, 5) on a coordinate grid

∵ The image of the point after the transformation is (5 , 0)

- The coordinates are switched with each other

∴ There is no rotation with 180° or -180° because in the rotation with

 180° and -180° around the origin we change only the signs of the

 coordinates without switch them

∴ There is a rotation with 90° are 270° or -90°

- The zero has no sign

- When we rotate the point (0 , 5) by -90° or 270° around the origin

 we will change the sign of x-coordinate and switch the two

 coordinates

∴ The image of the point is (y , -x)

∵ x = 0 and y = 5

- There is no sign for zero, so we switch the coordinates only

∴ The vertex is located at (5, 0)

∴ The Transformations are R(O , -90°) & R(O , 270)

Answer:

R(O , -90°) & R(O , 270)

Step-by-step explanation:

The distance between (2, 3) and (1,7) is:

Answers

Answer:

[tex] \sqrt{17}\: units [/tex]

Step-by-step explanation:

[tex]d = \sqrt{ {(2 - 1)}^{2} + {(3 - 7)}^{2} } \\ \\ = \sqrt{ {(1)}^{2} + {( - 4)}^{2} } \\ \\ = \sqrt{ 1 + 16 } \\ \\ d= \sqrt{17} \\ [/tex]

Answer:

d=√17≈4.12310562561766

Step-by-step explanation:

5. A company sells small, colored binder clips in packages of 20 and offers a money-back guarantee if two or more of the clips are defective. Suppose a clip is defective with probability 0.01, independently of other clips. Let X denote the number of defective clips in a package of 20. (a) The distribution of the random variable X is (choose one) (i) binomial (ii) hypergeometric (iii) negative binomial (iv) Poisson. (b) Specify the value of the parameter(s) of the chosen distribution and find the probability that a package sold will be refunded.

Answers

Answer:

a) Binomial.

b) n=20, p=0.01, k≥2

The probability hat a package sold will be refunded is P=0.0169.

Step-by-step explanation:

a) We know that

the defective probability is constant and independent.the sample size is bigger than one subject.

The most appropiate distribution to represent this random variable is the binomial.

b) The parameters are:

Sample size (amount of clips in the package): n=20Probability of defective clips: p=0.01.number of defective clips that trigger the money-back guarantee: k≥2

The probability of the package being refunded can be calculated as:

[tex]P(x\geq2)=1-(P(x=0)+P(x=1))\\\\\\P(x=k) = \dbinom{n}{k} p^{k}q^{n-k}\\\\\\P(x=0) = \dbinom{20}{0} p^{0}q^{20}=1*1*0.8179=0.8179\\\\\\P(x=1) = \dbinom{20}{1} p^{1}q^{19}=20*0.01*0.8262=0.1652\\\\\\P(x\geq2)=1-(0.8179+0.1652)=1-0.9831=0.0169[/tex]

What value of c makes x2 + 6x + c a perfect square trinomial?

Answers

Answer:

9

Step-by-step explanation:

x^2 + 6x + c

Take the coefficient of x

6

Divide by 2

6/2 = 3

Square it

3^2 = 9

That is the value of c required

Answer:

C. 9

Step-by-step explanation:

c = 9

x² + 6x + 9

= (x+3)(x+3)

= (x + 3)²

it is a perfect square trinomial when c is equal to 9

Determine whether the given value of the variable is a solution of the inequality.

Answers

Answer:

Yes, [tex]\frac{3}{4}[/tex] is a solution of the inequality.

Step-by-step explanation:

Solution of an inequality is given by the values of the variable t ≥ [tex]\frac{2}{3}[/tex]

Or t ≥ 0.67

If a solution of this inequality is t = [tex]\frac{3}{4}[/tex]

Or t = 0.75

Since, on a number line 0.75 > 0.67

Therefore, [tex]\frac{3}{4}[/tex] will be a solution of the inequality.

help me................​

Answers

Answer:

x = 5. y = 4

Step-by-step explanation:

7x - 4 = 31

7x = 35

x = 5

4y + 8 = 24

4y = 16

y = 4

X=5/ y=4

7x-4=31. 4y+8=24
+4. +4. -8 -8
7x=35. 4y=16
/7 /7. /4. /4
X=5. Y=4

What’s the correct answer for this?

Answers

Answer:

B.

Step-by-step explanation:

Using the formula

S = r∅

Where s is Arc length,l

R is radius

∅ is radian measure for angle RAD

Substituting

L = R∅

So

∅ = L/R

I need help with this one

Answers

Answer:

Top right

Step-by-step explanation:

The solution to a system of equation is where the two graphs cross

The top right lines cross at (5,-3)

Landes is a sales representative for a company. She earns a basic pay of $2,750 a month plus commission of 1.5%. How much does Landes [now that the moderators are gone just answer this question and claim points lol]

Answers

Answer:

2,748.5

Step-by-step explanation:

Answer:

thank uuu

Step-by-step explanation:

Solve for the unknown value
X=______Degrees

Answers

Answer:

Step-by-step explanation:

_______________________________

Hey!!

Solution,

X+61+42=180[ sum of angle in triangle]

or,X+103=180

or,X=180-103

X=77°

So the value of X is 77°

Hope it helps..

Good luck on your assignment

____________________________

Write the equation of a line that is perpendicular to y= -x - 6 and that passes through the point (-9, -4).

Answers

Answer:

y = x + 5

Step-by-step explanation:

Perpendicular slope is opposite inverse so the perpendicular slope to -1x would be 1x

Then find b in y=mx+b

Plug in all the number

y=-9

x=-4

m=1

So, -4=1(-9)+b

1×-9=-9

+9 to both sides

5=b

Therefore,

y=x+5

In Georgetown, the library is 8 miles due south of the courthouse and 6 miles due west of the community swimming pool. What is the distance between the courthouse and the community swimming pool?

Answers

Answer:

10  miles

Step-by-step explanation:

tree points form a right triangle with sides 8, 6 and x

x is the hypotenuse of the triangle

x²=8²+6²=100

x=√100=10  miles

Parker marks sixths on number line. He writes 5/6 just before 1. What fraction does he write on the first mark to the right of 1?

Answers

Answer:

The first fraction at the right of 1 is [tex]\frac{7}{6}[/tex] or [tex]1\frac{1}{6}[/tex]

Step-by-step explanation:

Given

Marks of 6ths on a number line

Fraction 5/6 just before 1

Required

What fraction is at the right 1

To get the first fraction at the right of 1, we need to get the difference between each fraction;

This is calculated as follows;

[tex]Difference = 1 - \frac{5}{6}[/tex]

Take LCM

[tex]Difference = \frac{6 - 5}{6}[/tex]

[tex]Difference = \frac{1}{6}[/tex]

This implies that the difference between each mark is [tex]\frac{1}{6}[/tex].

To get the first mark at the right of 1;

We simply add the difference to 1;

This implies that;

[tex]Mark = 1 + \frac{1}{6}[/tex]

Take LCM

[tex]Mark = \frac{6 + 1}{6}[/tex]

[tex]Mark = \frac{7}{6}[/tex]

Convert to mixed fraction

[tex]Mark = 1\frac{1}{6}[/tex]

Hence, the first fraction at the right of 1 is [tex]\frac{7}{6}[/tex] or [tex]1\frac{1}{6}[/tex]

A city has 5 new houses for every 7 old houses. If there are 45 new houses in the city, how many old houses are there?

Answers

Answer:

63

Step-by-step explanation:

Make a ratio:

5 : 7 = 45 : x

x = 63

Complete the synthetic division problem below.
2 1 6 -16
What is the quotient in polynomial form?

Answers

Answer: x + 8

Step-by-step explanation:

The required quotient in polynomial form is x + 8.


To determine the synthetic division of 2 | 1 6 -16 and quotient in polynomial function.


What is synthetic division?

It is a method for performing division of polynomials, with little writing and lesser calculations than complex division.

2   |    1      6      -16
               +2     +16        
         1      8       0  
Its quotient in polynomial form is given as x + 8


Thus, The required quotient in polynomial form is x + 8.

Learn more about synthetic divisions here:
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Confidence Intervals for Curved Gaussian Family Bookmark this page (a) 1 point possible (graded) Let X1,…,Xn be i.i.d. random variables with distribution N(θ,θ) , for some unknown parameter θ>0 . True or False: The sample average X¯¯¯¯n follows a normal distribution for any integer n≥1 .
a. true
b. false

Answers

Answer:

True

True

Step-by-step explanation:

The unknown parameters are treated as variable and data serve as coefficients. The random variables are value whose outcome depends on some random event. The θ can exist when n ≥ 0. A sample mean is a sequence which has normal distribution and n ≥ 1. The sample average of X-n follows normal distribution for all integer and n is greater or equal to 1.

The given statement is True

Random variable:

The unknown parameters should be considered variable and data represent the coefficients. The random variables refers to the value where  outcome based on some random event. The θ could exist at the time when n ≥ 0. A sample mean represent the sequence that contains normal distribution and n ≥ 1.

Learn more about distribution here: https://brainly.com/question/24520301

What is the value of n ??????????

Answers

Answer:

it's b 59° because it's at the side

Mel buys a shirt that cost 12.50 and some pairs of socks that are 2.50 each.He pays a total of 27.50$.How many pairs of socks did Mel buy?

Answers

Answer:

6

Step-by-step explanation:

Let's call the number of pairs of socks he buys s.

[tex]12.50+2.50s=27.50[/tex]

Subtract 12.50 from both sides:

[tex]2.50s=15[/tex]

Divide both sides by 2.5 to isolate s:

[tex]s=6[/tex]

Hope this helps!

You have 10 shirts 2 of them are black what is the probability of not choosing a black shirt.

Answers

80% or 4/5
Since there are 2 blacks shirts and 10 in total the probability is of not poking a black shirt is 8/10 which when reduced is 4/5

Answer:

80% or 4/5

Step-by-step explanation:

the probability of not choosing a black shirt

P = number of shirts that are not black ÷ total number of shirts

Total number of shirts = 10

Number of black shirts = 2

Number of shirts that are not black = 10-2 = 8

P = 8/10 = 4/5 or 80%

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