solve the inequality and graph its solutions on a number line. 5x+3<3(x+2)

Answer:

The answer is "non-real solution: "i-3 and -i-3" and real solution is -2".

Step-by-step explanation:

In the given equation there is some mistype error so, its correct equation can be defined as follows:

Given value:

[tex]\bold{ f(x) = x^3+ 8x^2 +22x +20}[/tex]

use hit and trial method we put x value are -2:

 [tex]f(-2) = (-2)^3+ 8(-2)^2 +22(-2) +20\\\\[/tex]

            [tex]= -8 + 8 \times 4 +22 \times -2 +20\\\\= -8 + 32 -44 +20\\\\= -52 + 52\\\\=0[/tex]

So, the real solution to the equation is "-2".

In the above solution, we calculate the f(x) =-2 is its real solution. so, the calculation for non-real solution:

divide the value [tex]x^3+8x^2+ 22x +20[/tex] by ([tex]x+2[/tex]):

Quotient: [tex]x^2+6x+10[/tex]

Remainder: 0

[tex]\to x^2+6x+10 \\\\compare \ with \ ax^2+bx+c: \\\\a= 1\\b= 6\\c=10\\\\\bold{Formula:}\\\\\to D= b^2-4ac\\\\[/tex]

        [tex]= 6^2- 4 \times 1 \times 10\\\\ = 36- 40\\\\ = -4[/tex]

Formula for calculate non-real solution:

[tex]\bold{\frac{-b\pm \sqrt{D}}{2}}[/tex]

non-real solution: "i-3 and -i-3"

[tex]given \: that \ :[/tex]

[tex]x = 8[/tex]

[tex]then \:12 - x \: will \: be \: :[/tex]

[tex]12 - 8[/tex]

[tex] = 4[/tex]

[tex]∴ \: 12 - 8= 4 [/tex]

Answer:

The result of 12-x when x=8, is 4

Step-by-step explanation:

Numerical Evaluation

Evaluate an algebraic expression means substituting the variables present in the expression by their respective numerical values, operate and report the result.

The given expression is

12 - x

Substituting x = 8, we get:

12 - 8 = 4

The result of 12-x when x=8, is 4

Answer:

A. -3

Step-by-step explanation:

edge test

The value of x in the matrix equation comes to be 1.

A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object.

The given matrix equation is:

[tex]-2\left[\begin{array}{cc}x&-1&3&5\\\end{array}\right] + \left[\begin{array}{cc}3&8&-1&6\\\end{array}\right] =\left[\begin{array}{cc}x&10&-7&-4\\\end{array}\right][/tex]

Multiply -2 with each element of the first matrix i.e. first matrix on the left side of the equation followed by the addition of matrices we get:

[tex]\left[\begin{array}{cc}-2x+3&2+8&-6-1&-10+6\\\end{array}\right] =\left[\begin{array}{cc}x&10&-7&-4\\\end{array}\right][/tex]

[tex]\left[\begin{array}{cc}-2x+3&10&-7&-4\\\end{array}\right] =\left[\begin{array}{cc}x&10&-7&-4\\\end{array}\right][/tex]

On comparing both matrices

-2x+3 = x

3x=3

x=1

Hence, the value of x in the matrix equation comes to be 1.

To get more about matrices visit:

https://brainly.com/question/1821869

Answer:

300

Step-by-step explanation:

4:7

7-4=3

225/3=75

75x4=300

Answer:

p = -2

Step-by-step explanation:

24 divided by -12

p= -2

Answer:

Step-by-step explanation:

Answer:

1. The sphere has a radius of 4 cm.

3. The diameter length is twice the length of the radius.

6. The volume of the sphere is StartFraction 256 Over 3 EndFraction pi centimeters cubed.

Answer:

1.2

2.4

3.6

4.8

5.9

6.4

7.3

8.6

Step-by-step explanation:

Answer:

30 is saved

Step-by-step explanation:

20 x 3 = 60 - 50 = 10, you get 10 three times because of 9 / 3 = 3 you get 10 x 3 = 30

Answer:

48/60=24/30=15/12=4/5 or 4:5

So your final answer is 4/5 or 4:5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

5-9=(-4)

hope this helps :3

Answer:

Can i get a brainliest please? :·3

Step-by-step explanation:

I wasn't here on time

PD: anyone play clash of clans?

PPD: join my clan if you do

PPPD: Link: https://link.clashofclans.com/en?action=OpenClanProfile&tag=2L9YRJYQC

PPPPD: We speak spanish and english

Answer:

3x+4y

gyhhuhyyb buhhujnjjijnjijhu

Answer:

Point slope-  y + 8 = − 1 2 ⋅ ( x − 4 )

Slope Intercept Form- y = − 1/ 2 x − 6

Slope- m=-1/2

Step-by-step explanation:

Point slope- y-y₁=m(x-x₁)

Slope Intercept form- y=mx+b\

Slope- rise/run= y2-y1/x2-x1

Answer:

the answer is 1/8

thank you

if you loved my answer then please like it and mark as brainliest

Answer:

3/35

Step-by-step explanation:

3*1=3

5*7=35

3/35

Answer:

Step-by-step explanation:

hi! the log properties say that when logs are multiplied as log(xy), they can be expanded and added like log(x)+log(y). when logs are divided like log(x/y), they can be expanded as log(x)-log(y). when the log has an exponent like log(x^y), the exponent can be added to the front of the log like ylog(x). we can use these properties for this problem.

ln(x^3)+ln(y^2)-ln((x+1)^4)

ln(x^3*y^2)-ln((x+1)^4)

[tex]ln(\frac{(x^3y^2)}{((x+1)^4)})[/tex]

Answer:

i don't get that ether

Step-by-step explanation:

Answer:

D. 2x, -4y and 8 :)

Step-by-step explanation:

Answer:

27 yds^3

Step-by-step explanation:

Answer:

27 cubic yards

Step-by-step explanation:

3 x 3 x 3 = 27

The required value of v is -2 for a given line with a slope of 8.

The slope of a line is defined as the angle of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

Given data as :

The points given are (-2,-10) and (-1, v).

Since the line with a slope of 8.

So in this case, we have:

m = (v - (-10)) / (-1 - (-2))

Solving for v:

8 = (v + 10) / 1

8 = (v + 10)

v = -10 + 8

Apply the subtraction operation, and we get

v = -2

Thus, the required value of v is -2.

Learn more about the Slope of the Line here:

brainly.com/question/14511992

#SPJ2

Answer:

Jiao sent out 18,920 beads.

Step-by-step explanation:

All I did was add.

</3 hope this helps.

Answer: There is 1,000 milligrams in 1 gram.

Answer:

1000mg

Step-by-step explanation:

to be honest that's the obvious answer

and in advance

1kg=1000000mg

1kg=1000g

1g=1000g

Answer:

[tex]m\angle1 =47^o[/tex]

[tex]m\angle2 =119^o[/tex]

[tex]m\angle ABC =97^o[/tex]

[tex]m \angle FED = 62^o[/tex]

Step-by-step explanation:

angle 1 and the angle 133 degrees are supplementary angles, then added should give 180 degrees.

angle1 + 133 = 180   then angle1 = 180-133 = 47 degrees

[tex]m\angle1 = 180^o - 133^o=47^o[/tex]

Angle 2 is of the same measure as the angle marked as 119 degrees since they are what is called "corresponding angles between parallel lines."

Angle ABC plus angle that measures 83 degrees should add to 180 since their sum gives a straight line, then:

ABC + 83 = 180

ABC = 180 - 83 = 97 degrees

Last image:

The two angles with algebraic denomination should be equal because they are alternate internal angles, Then this equality can be written as:

8 x - 34 = 5 x + 2

solve for x by subtracting 5 x from both sides:

3 x - 34 = 2

add 34 to both sides:

3 x = 2 + 34

3 x = 36

x = 36/3

x = 12

and now knowing x we can find angle DEF

DEF = 5 x + 2 = 5 (12) + 2 = 60 + 2 = 62 degrees

Answer:

415 ft/s

Step-by-step explanation:

I've attached a diagram showing the triangle formed between the plane, the person and the radio tower.

From the attached diagram, x represents the position between the person and the position on the ground directly below the airplane while s represents the distance between the person and the plane.

The constant elevation remains 4090 ft while the value of x and s varies with time.

Thus, x varies with respect to time as dx/dt while s varies with respect to time as ds/dt.

Now, we are told that the plane is flying at the rate of 700 ft/s. This means that; dx/dt = 700 ft/s

Now we want to find the rate at which the distance between the person and the plane is increasing when the plane passes over the radio tower.

This means that we want to find ds/dt when x = 3010 ft

From pythagoras theorem if x = 3010 ft and the Elevation remains 4090 ft, we can find s as;

s = √(4090² + 3010²)

s = √25788200

s ≈ 5078.21 ft

Since we want to find ds/dt at x = 3010 ft, from the diagram, we can say from pythagoras theorem that;

x² + 4090² = s²

Differentiating x and s with respect to t, we have;

2x(dx/dt) = 2s(ds/dt)

2 will cancel out to give;

x(dx/dt) = s(ds/dt)

ds/dt = (x/s)(dx/dt)

Plugging in 700 for dx/dt, 3010 for x and 5078.21 for s, we have;

ds/dt = (3010/5078.21) × 700

ds/dt ≈ 415 ft/s

Answer:

Can you redo it so I can answer it's kind of confusing

Answer:

81 - 27(n-1)

Step-by-step explanation:

Answer:

60th term is 1052

Step-by-step explanation:

position to term rule : position number multiplied by 18 then minus 28 (  position number × 18 - 28)

60 × 18 - 28

Answer:Billy is correct

Step-by-step explanation:

Answer:

58,683

Step-by-step explanation:

subtract