Find the common factor of the polynomials 5x3+40x2+80x,x4-256

Answer:

56 meters

Step-by-step explanation:

5+5+5+11+7+16+7 = 56

Answer:

Should be 56 m

Step-by-step explanation:

5+7+16+7+11+5+5 = 56 m

Answer:

Answer: 16-2i

Step-by-step explanation:

Answer:

5. 8

6. 5

7. 7

8. 6

9. 3

10. 4

Step-by-step explanation:

The unknown number is the the larger number divided by 10.

Like in #5 : 80 ÷ 10 = 8

Answer:

x = 9

PQ = 19

QR = 19

RP = 10

Step-by-step explanation:

if 3x - 8 = 2x+1

then,

3x -2x = 1+8

x = 9

for pq,

2x+1

2x + 1 = 2*9+1

=>18 +1 = 19

for qr,

3x-8 = 3*9-8

=>27-8 =19

for rp,

x+1=9+1

=> 10

Answer:

B

Step-by-step explanation:

formula= principal (1+(rate÷100))^number of years

5500(1+(1.6÷100))^4

5500 (1+0.016)^4

5500(1.016)^4

5500 (1.06555245)

5,860.53

$5,860.53

Answer:

x=36°

Step-by-step explanation:

Find the answer with the theorems related to isosceles triangle and the exterior angle theorem

Answer:

Step-by-step explanation:

15(5+2) is the Answer

The greatest common factor to rewrite 75+30 as 15(5+2)

Greatest common divisor (GCD) of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.

An expression is a combination of numbers, variables and operators.

The given expression is 75+30.

By using distributive law we can find this.

Let us find factors of 75 and 30.

The factors of 75 are 1, 3, 5, 15, 25, 75

The factors of 30 are 1, 3, 5, 9, 15, 45

Their GCF is 15.

To get 75, we will multiply 15 by 5.

To get 30, we will multiply 15 by 2.

By using distributive property

75+30 can be splitted to factors as

15(5+2)

Hence  the greatest common factor to rewrite 75+30 as 15(5+2)

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Answer:  

< means y is smaller than 3, it's not equal, so it's open dots.

(number line see the attach image.)

Answer:

Step-by-step explanation:

Answer: 40/11 hours

Step-by-step explanation:

Since y represents the amount of time the car goes at 35 miles per hour, and it is given that the car spends no time at 35 miles per hour, y = 0.

We can plug y into the equation given to find x, which would be the time travelled at 55 miles per hour, or the total time in this case.

55x + 35*0 = 200

55x = 200

x = 200/55

x = 40/11 hours

The time taken for the golf ball to reach the ground is 1 s.

The path of motion of the golf ball can be described as parabolic because it is projectile.

When the golf ball reaches the ground, the final velocity will be zero.

Velocity of the golf ball is change in height with time.

v = dh/dt

h(t) = -16t² + 32t  + 128

dh/dt = -32t + 32

0 = -32t + 32

32t = 32

t = 1 s

Thus, the time taken for the golf ball to reach the ground is 1 s.

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Answer:

6 seconds, the other dude is a dimwit

Step-by-step explanation:

Answer:

choose the last answer D I did this quiz and i am foolproof it is correct

Step-by-step explanation:

Answer:

he can play 5 more games.

Step-by-step explanation:

he has $20 and he uses $5 for shoes so he has $15 left. each game costs $3 so 3x5 = 15

Answer:

Step-by-step explanation:

pugs;

pros= Pugs are small in size and thus, making them suitable for small-sized rooms or apartments. Pugs have a friendly and lapdog temperament, get along well with most people and pets. Pugs are low to medium-shed breeds, which implies you are less likely going to be troubled with shedding.

cons= Pugs are prone to various throats, ears, eyes, folds, facial infections, and breathing troubles; hence they will require regular health check-ups. Pug dogs are not highly trainable – it will be difficult to train a pug to do not-so-easy activities even if you hire a professional.

poodle;

pros=They don't shed. Poodles have long hair, instead of fur so they do not shed. ...

They're easy to train. The poodle's intelligence and eagerness to please make them easy to train. ...

They're good with children or other dogs. ...

They make great service dogs or therapy dogs.

cons= Their hair requires some serious maintenance. Because poodles can grow their hair long, they require a lot more maintenance than breeds with short, flat coats. ...

They require a lot of mental stimulation. ...

They can be emotionally sensitive.

Answer: brainliest please!

Pros of a Pug

! Pugs are small in size and thus, making adaptable small-sized rooms or apartments.

! Pugs have a friendly temperament and get along well with other people/pets.

! Pugs are low to medium-shed breeds which mean you are less likely going to be troubled with shedding.

! Can take simple commands without hiring a professional trainer/ train on your own
Cons of  a Pug

! Gains weight easily and lack of daily exercises like a walk or run can easily have them gain weight and affect their health.
! Pug dogs are not highly trainable ~ can do simple tricks like:
sit, stand, run, fetch but not complicated ones
! Health risks ~ Pugs are prone to throat, ears, eyes, facial infections, and breathing troubles :; hence they will require regular health check-ups.

````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
Pros of Poodle
! They don’t shed. Poodles have long hair, instead of fur so they do not shed.
! super easy to train compared to pugs and easily learn hard tricks and so.
! They're good with children or other dogs
! They make great service dogs or therapy dogs
Cons of Poodle
! Their hair requires some serious maintenance
! They can be emotionally sensitive
! IMPORTANT - They require a lot of mental stimulation

These pups have trained to live a luxurious lifestyle they’re rarely content to live as lap dogs. They will use their intelligence for less desired behaviors like digging, chewing, or excessive barking. If your lifestyle doesn’t allow you to provide ample mental stimulation for your dog, it might be worth considering another breed.

Answer:

5/16 of a pound

Step-by-step explanation:

2½ x ¼ = 5/4 × 1/4 = 5/16

Step-by-step explanation:

follow the picture uploaded. everythinh has been solves systematically

Answer:

Decimal: 0.16

Percent: 16%

Step-by-step explanation:

There is 16 blocks shaded out of 100 blocks.

16/100=

0.16

16%

Answer:

i. 7:6

ii. 7:13

iii. 6:13

Step-by-step explanation:

boys to girls = 140:120 so we can simplify by 20 to get 7:6

boys to total = 140:(120+140) = 140:260 we can simplify again to get 7:13.

girls to total = 120:(120+140) = 120:260 we can also simplify to get 6:13

Answer:

Step-by-step explanation:

b=-13

Check the picture below.

Answer:

x < 3

Step-by-step explanation:

Step 1: Add 20 to both sides.

Step 2: Divide both sides by 2.

For a particular data generation process, a probability distribution represents the predicted outcomes of various values. The mean of the probability distribution is 3.

For a particular data generation process, a probability distribution represents the predicted outcomes of various values. The mean, standard deviation, skewness, and kurtosis are all features of probability distributions, which are characterized by the mean, standard deviation, skewness, and kurtosis.

The mean of the probability distribution is determined by the given formula,

[tex]\mu = \sum (x\times P(x))[/tex]

Now, substituting the value to know the probability distribution, we will get,

[tex]\mu = (1 \times 0.1)+(2 \times 0.2)+(3 \times 0.4)+(4 \times 0.2)+(5 \times 0.1)\\\\\mu = 0.1+0.4+1.2+0.8+0.5 = 3[/tex]

Hence, the mean of the probability distribution is 3.

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Answer:

its 3

Step-by-step explanation:

got it right on edge 2022

Answer:

97

Step-by-step explanation:

(a - 48) + a = a + 49

2a - 48 = a + 49

a = 97

We can do this because the angles of a triangle all add up to 180 and 2 angles of a line add up to 180.

Answer:

So a line perpendicular to this equation would be any line with a slope of -3/4 (the negative reciprocal of the slope)

Step-by-step explanation:

First convert the original equation into y = form to find the slope.

Subtract 4x on both sides leaving -3y = -27 - 4x

This leaves y = (-27 - 4x)/(-3)

You can divide both -27 and -4x by -3 individually to get 9 and 4/3 respectively

This makes your equation y = 9 + (4/3)x

Whenever an equation is in y = mx + b form, the 'm' represents the slope. In this case the slope is 4/3.

Answer:

x = 2, -2

explanation:

[tex]\sf y=x^4+3x^3+x^2-12x-20[/tex]

Find a factor for this equation:

-5 < x < 5

-------------

f(-3) = 25

f(-2) = 0

f(-1) = -9

f(0) = -20

f(1) = -27

f(2) = 0

f(3) = 115

Hence found that ( x -2) and ( x + 2) are the factor of the following equation.

Divide both by the following equation:

[tex]\sf \rightarrow \dfrac{x^4+3x^3+x^2-12x-20}{\left(x-2\right)\left(x+2\right)}[/tex]

[tex]\sf \rightarrow \dfrac{\left(x-2\right)\left(x+2\right)\left(x^2+3x+5\right)}{\left(x-2\right)\left(x+2\right)}[/tex]

[tex]\sf \rightarrow x^2+3x+5[/tex]

Using quadratic formula: [tex]\sf x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \ \ when \ \ ax^2 + bx + c = 0[/tex]

[tex]\sf \hookrightarrow x_{1,\:2}=\dfrac{-3\pm \sqrt{3^2-4\cdot \:1\cdot \:5}}{2\cdot \:1}[/tex]

[tex]\hookrightarrow x=-\dfrac{3}{2}+i\dfrac{\sqrt{11}}{2},\:x=-\dfrac{3}{2}-i\dfrac{\sqrt{11}}{2}[/tex]

Thus the zero's of the function are:

x = 2, -2

Answer:

[tex]x=2, x=-2[/tex]; [tex]\frac{-3\pm i\sqrt{11}}{2} \in \mathbb{C}[/tex]

Step-by-step explanation:

Zeroes are found by setting the RHS = 0.

Since the quantity [tex]x^4+3x^3+x^2-12x-20[/tex] is a 4th degree polynomial there isn't a formula that gives us the solution, so we're stuck having to divide: to do so we make THE LIST: you list the divisors of the constant term without its sign (20: 1,2,4,5,10,20), the divisor of the lead coefficient (1), and you divide the first by the second in any possible way, adding a plus or minus:

[tex]\pm1, \pm2, \pm4, \pm5,\pm10,\pm20[/tex]. At this point you just have to check, replacing each one in the equation until you find two values that work (why two? You need to lower the degree of the polynomial by two, if you found only one you'd be stuck with a third degree equation which doesn't have an "easy" solving formula).

After some adding and multiplying you find that both 2 and -2 make the expression to zero. At this point you have two options

First is to divide the given expression by[tex](x-2)(x-2)=(x^2-4)[/tex] or, as I did in the image, notice that you will end up with a 2nd degree polynomial, whose coefficient you find by multiplying and confronting with the original equation.

Either way, you will end up with

[tex](x+2)(x-2)(x^2+3x+5)=0[/tex]

First two factors will give [tex]x=-2; x=2[/tex] respectively, while the third term has no real solutions (it still offers a pair of solutions in [tex]\mathbb{C}[/tex] which I'll add for the sake of completeness, but you're most likely required to look for real solutions only).

Answer:

A) [tex]\frac{1}{4}[/tex]

B)[tex]\frac{2}{4}[/tex]

C)[tex]\frac{2}{4}[/tex]

Step-by-step explanation

sample space (S) = {1,2,3,4}

n(S) = 4

multiples of three (a) = {3}

n(a) = 1

probability of a = [tex]\frac{n(a)}{n(S)}[/tex]

                         = [tex]\frac{1}{3}[/tex]

multiples of two(b) = {2,4}

n(b) = 2

probability of b = [tex]\frac{n(b)}{n(S)}[/tex]

                         = [tex]\frac{2}{4}[/tex]

factors of three(c) = {1,3}

n(c) = 2

probability of c = [tex]\frac{n(c)}{n(S)}[/tex]

                         = [tex]\frac{2}{4}[/tex]

Answers:

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Explanation: