What is the least possible value of (x +1)(x+2)(x+3)(x +4)+2019 where x is a real
number?
MANY POINTS

Answer:

3x

Step-by-step explanation:

We need to find the HCF of given two numbers .HCF is the Highest Common factor for two or more than two numbers . The given numbers are ,

[tex]\implies Numbers = 3x \ and \ 6x [/tex]

Let's factorise the numbers , we get .

[tex]\implies 3x = 3 \times x [/tex]

[tex]\implies 6x = 3\times 2 \times x [/tex]

The common factors are 3 and x . Therefore the HCF is 3 × x = 3x .

[tex]\implies\underline{\underline{ HCF = 3x }}[/tex]

Answer:

[tex] {x}^{2} - 3x - 10[/tex]

Step-by-step explanation:

Area= length× width

[tex](x + 2)(x - 5) \\ {x}^{2} + 2x - 5x - 10 \\ {x}^{2} - 3x - 10[/tex]

Answer:

a) 9

b)

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

c) 15

Step-by-step explanation:

The first step is to cancel out the fraction's denominator if possible.

a)

[tex]15 \times \frac{3}{5} [/tex]

We can cancel the 5 out since 15 divided by 5 is 3. The answer that comes out is

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

Since 3/1 is 3, we can now simplify the values:

[tex]3 \times 3 = 9[/tex]

b)

[tex]4 \times \frac{1}{3} [/tex]

4 is indivisible by three and gives a non-whole value. This is not what we need here.

Instead we should do the division rule and find the remainder.

In this case, 4 divided by 3 gives 1 with a remainder of 1.

[tex]4 \times \frac{1}{3} = \frac{4}{3} [/tex]

After we simplify the non-mixed fraction, we have to change it into a mixed fraction, which consists of a whole number and a fraction. We can split it into the following:

[tex] \frac{4}{3} = 1r1[/tex]

The r1 is just the remainder of the fraction. Since we cannot remove 1 from the remainder, we add it back into the fraction's denominator of 3. This gives:

[tex] \frac{4}{3} = 1 + \frac{1}{3} = 1 \frac{1}{3} [/tex]

c)

[tex] \frac{5}{2} \times 6[/tex]

For this part, we can cancel out 2 since 6 is divisible by 2. This gives:

[tex] \frac{5}{1} \times 3[/tex]

Since 5/1 is 5,

we can now solve part c:

[tex]5 \times 3 = 15[/tex]

Given:

The expression is:

[tex]2x^3+mx^2+nx+c[/tex]

It leaves the same remainder when divided by x -2 or by x+1.

To prove:

[tex]m+n=-6[/tex]

Solution:

Remainder theorem: If a polynomial P(x) is divided by (x-c), thent he remainder is P(c).

Let the given polynomial is:

[tex]P(x)=2x^3+mx^2+nx+c[/tex]

It leaves the same remainder when divided by x -2 or by x+1. By using remainder theorem, we can say that

[tex]P(2)=P(-1)[/tex]              ...(i)

Substituting [tex]x=-1[/tex] in the given polynomial.

[tex]P(-1)=2(-1)^3+m(-1)^2+n(-1)+c[/tex]

[tex]P(-1)=-2+m-n+c[/tex]

Substituting [tex]x=2[/tex] in the given polynomial.

[tex]P(2)=2(2)^3+m(2)^2+n(2)+c[/tex]

[tex]P(2)=2(8)+m(4)+2n+c[/tex]

[tex]P(2)=16+4m+2n+c[/tex]

Now, substitute the values of P(2) and P(-1) in (i), we get

[tex]16+4m+2n+c=-2+m-n+c[/tex]

[tex]16+4m+2n+c+2-m+n-c=0[/tex]

[tex]18+3m+3n=0[/tex]

[tex]3m+3n=-18[/tex]

Divide both sides by 3.

[tex]\dfrac{3m+3n}{3}=\dfrac{-18}{3}[/tex]

[tex]m+n=-6[/tex]

Hence proved.

Answer:

25.1

Step-by-step explanation:

Sin=opposite/hypotenuse

Sinx=4.2/9.9

x=arcsin(4.2/9.9)

x=25.1 degrees rounded from 25.102

Answer:

Opposite sides of a parallelogram are parallel (by definition) and so will never intersect. The area of a parallelogram is twice the area of a triangle created by one of its diagonals. The area of a parallelogram is also equal to the magnitude of the vector cross product of two adjacent sides.

Step-by-step explanation:

Answer:

ok from looking at this equation we can we that every it goes 1 up and on over so

-x+2

Hope This Helps!!!

Answer: $83.94

Step-by-step explanation:

69.95 + 69.95(0.2) = 69.95(1 + 0.2) = 69.95(1.2) = 83.94

Answer:

D

Step-by-step explanation:

Answer:

B=45

Step-by-step explanation:

Answer:

Dominio de una Raíz cuadrada

Cuando tenemos una raíz, para estudiar su existencia debemos saber que una raíz existe si y solo sí el radicando (lo que está dentro de la raíz) sea mayor o igual a cero.

Por lo tanto deberemos estudiar el signo de lo que se encuentra dentro de la raíz; y determinar las zonas positivas y las raíces que son las zona de existencia de la función raíz o dominio de esta función.

Step-by-step explanation:

qsy

Answer:

Liza: 5 parts

Lina: 2 parts

Lini: 3 parts

Step-by-step explanation:

Basically, the parts whould equal ten. By following the criteria, Lina must have the least parts, while LIza has the most parts. If the difference between Liza and Lina should be equal to the number of parts Lina had

5-2=3 parts for Lini

Thank you. Tell me if any incorrections.

Given:

The inequality is:

[tex]-3x-4<2[/tex]

To find:

The values that are solutions to the given inequality.

Solution:

We have,

[tex]-3x-4<2[/tex]

Adding 4 on both sides, we get

[tex]-3x-4+4<2+4[/tex]

[tex]-3x<6[/tex]

Divide both sides by -3 and change the inequality sign because -3 is a negative value.

[tex]\dfrac{-3x}{-3}>\dfrac{6}{-3}[/tex]

[tex]x>-2[/tex]

Therefore, all the real values greater than -2 are the solutions to the given inequality.

Answer:

$2.96

Step-by-step explanation:

Here, we want to get the expected value

To get the expected value, we have to multiply each payout by its corresponding probability and add up for all

So what this mean is that the expected value is the summation of the products of each pay out and their probability

We have the expected value calculated as;

0(0.12) + 1(0.2) + 2(0.38) + 5(0.2) + 10(0.1)

= 0 + 0.2 + 0.76 + 1 + 1 = $2.96

Answer:

x=0.5

Step-by-step explanation:

10x-40-5x=2x+30

5x+10=25x

10=20x

x=0.5

The system of linear inequalties that is represented by the graph is formed by the expressions y > 2 · x - 2 and x + 4 · y > - 12.

Herein we have two inequalities generated by two linear functions whose form is described below:

f(x, y) > a (blue region)      (1)

g(x, y) > b (red region)      (2)

By direct comparison, we find that the limit of the red region is represented by the inequality y > 2 · x - 2. From the equation of the line we can derive an expression for the limit of the blue region:

Slope

m = [- 4 - (- 3)]/(4 - 0)

m = - 1/4

Intercept

b = y - m · x

b = - 3 - (- 1/4) · 0

b = - 3

Then, the inequation is represented by the linear equation:

y > - (1/4) · x - 3

4 · y > - x - 12

x + 4 · y > - 12

The system of linear inequalties that is represented by the graph is formed by the expressions y > 2 · x - 2 and x + 4 · y > - 12.

To learn more on inequalities: https://brainly.com/question/20383699

#SPJ1

Respuesta:

12 horas

Explicación paso a paso:

Dado que :

A Mar del Plata = cada 2 horas

A Necochea = cada 4 horas

A San Clemente = cada 6 horas

Número de horas que tardarán los 3 autobuses en salir al mismo tiempo, si ambos salieron ahora;

Tome el mínimo común múltiplo de los 3 autobuses:

Múltiplos de:

2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22

4: 4, 8, 12, 16, 20, 24, 28, 32

6: 6, 12, 18, 24, 30, 36, 42

El mínimo común múltiplo de 2 horas, 4 horas y 6 horas es 12;

Por lo tanto, los 3 autobuses saldrán a la misma hora en las próximas 12 horas:

Answer:

A

Step-by-step explanation:

Answer:

[tex]{ \tt{ = \frac{7}{9} \div \frac{1 }{3} }} \\ = { \bf{ \frac{7}{9} \times \frac{3}{1} }} \\ = \frac{7}{3} [/tex]

Answer:

M(-5/2, -2)

Step-by-step explanation:

Add the x-coordinates & divide by 2.

Add the y-coordinates and divide by 2.

x-coordinates: -4, -1

(-4 + (-1))/2 = -5/2

y-coordinates: -8, 4

(-8 + 4)/2 = -4/2 = -2

M(-5/2, -2)

Answer:

t ≈ 3.65 s

Step-by-step explanation:

Let the distance the object travels after leaving the balloon be x.

Using Newton's equation of motion, we have;

s = ut + ½gt²

We are given;

s = 30 m

u = -10 m/s (negative because it is an upward motion)

Thus;

30 = -10t + ½(10)t²

30 = -10t + 5t²

5t² - 10t - 30 = 0

Using quadratic formula, we have;

t ≈ 3.65 s

Answer:

-9

Step-by-step explanation:

{-2*-1^-2/-2-1*-1-3}3

= -9

Answered by GAUTHMATH

Answer:

the coordinates of point B are (-5, 2)

Step-by-step explanation:

1. use midpoint formula to find the midpoint (equation attached below)

2. plug in the numbers

[tex](\frac{-8+(-2)}{2},\frac{3+1}{2})[/tex]

3. solve

[tex](\frac{-8-2)}{2},\frac{3+1}{2})[/tex]

[tex](\frac{-10}{2},\frac{4}{2})[/tex]

[tex](-5,2})[/tex]

Answer:

slope= -8/1

y-intercept= 0,0

Answer:

m = -8

c = 0

Step-by-step explanation:

The given equation of the line is ,

[tex]\implies y = -8x[/tex]

We know that the Standard equation of Slope Intercept Form of the line is,

[tex]\implies y = mx + c[/tex]

Where ,

On comparing to the Standard form of the line we get ,

[tex]\implies Slope = -8 [/tex]

[tex]\implies y - intercept= 0 [/tex]

Answer:

No its doesn't satisfy the equation.

[tex]{ \bf{area = 2(l + w)}} \\ { \tt{48 = 2((x + 10) + (x - 3))}} \\ { \tt{24 = 2x + 7}} \\ 2x = 17 \\ x = 8.5 \\ \\ { \bf{in : \: {x}^{2} + 7x - 78 = 0 }} \\ x = 6 \: \: and \: \: - 13[/tex]

Hello!

[tex]\large\boxed{x = 1, y = 2}[/tex]

We can solve this system using substitution.

Since y = -3x + 5, we can substitute this into the following equation:

5x - 4(-3x + 5) = -3

Simplify:

5x - 4(-3x) - 4(5) = -3

5x + 12x - 20 = -3

Combine like terms:

17x - 20 = -3

Add 20 to both sides:

17x = 17

x = 1

Substitute to find y:

y = -3(1) + 5

y = -3 + 5

y = 2

Solution: (1, 2)

Answer:

(1,2) x=1; y=2

Step-by-step explanation:

We can plug the value of Y into the second equation like so:

[tex]5x-4(-3x+5)=-3\\5x+12x-20=-3\\17x=-3+20\\17x=17\\x=1[/tex]

Then we can plug the value of x into the first equation.

[tex]y=-3+5\\y=2[/tex]

(1,2)

Hope this helped! Please mark brainliest :)

Answer:

So, y =8

Step-by-step explanation:

4/y = 5/10

or, 4*10 = 5*y

or, 40 = 5y

or, y = 40/5

therefore, y = 8

Answer:

Step-by-step explanation:

Eq. 1 )   −5x−3y−9=0

Eq. 2)   4x−18y−54=0

there are two routes to solve this,   Substitution or  elimination,  I'll go for the 2nd one because I can see that the y values are a multiple of each other :)

    6 *( −5x−3y−9=0 )

Eq. 3) -30x -18y =54

subtract Eq. 2 from Eq. 3  :)

-30x -18y =54

-( 4x−18y=54)

-34x = 0

so according to the equations then x =0 but,  that's not really a full answer, so now we should go back and try the other method, substitution,

then:

-5x = 9 +3y

x = - 9/5 + (-3/5)y

now plug that into Eq. 2

4( - 9/5 + (-3/5)y ) - 18y = 54

-36/5 + (-12/5)y -18y = 54

(-12/5)y - (90/5)y = 54+36/5

-(102/5)*y =270/5+36/5

-(102/5)y = 306/5

y = (-5/102)*(306/5)

y = -306/102

y = -3

then plug in for either equation

-5x-3( -3) = 9

-5x + 9 = 9

-5x = 0

x = 0

now we have the full answer

check it by plugging in both x and y into the 2nd equation

4(0) - 18(-3) = 54

54= 54

this seems good  

where's the number line?

maybe u can attach it at the comments:)

Answer:

Section B

Step-by-step explanation:

Answer:

36/5

Step-by-step explanation:

9/4×16/5

144/20

36/5

hope this is helpful

Answer:

[tex]7\frac{1}{5}[/tex]

Step-by-step explanation:

1. start by turning the fractions improper fractions:

[tex]2\frac{1}{4} =\frac{9}{4}[/tex]

[tex]3\frac{1}{5} =\frac{16}{5}[/tex]

2. then multiply them together:

[tex]\frac{9}{4}[/tex] x [tex]\frac{16}{5}[/tex] = [tex]\frac{144}{20}[/tex]

3. then simplify the fraction:

[tex]\frac{144}{20}[/tex][tex]=\frac{36}{5}[/tex]

4. turn it into a proper fraction:

[tex]\frac{36}{5} =7\frac{1}{5}[/tex]