Can anyone help me with this?

Answer: The answer is m^2

Step-by-step explanation:

For the given absolute value equations and inequalities the following have solution set which is not empty set.

a.  |2x-51|-3 = -2 has solution set x = 25 or 26.

b  |5x-1| +8 < 6 has empty set.

c.  3|x-4|+5 < 4 has empty set.

d.  2|x + 7| +3 = 2 has solution set x = -15/2 or -13/2.

As given in the question,

Solution set of the absolute value equations and the inequalities are as follow:

a.  |2x-51|-3 = -2

⇒  |2x-51| = -2+3

⇒ |2x-51| = 1

⇒ 2x -51 = 1 or 2x -51 = -1

⇒ 2x = 52 or 2x = 50

⇒ x= 26 or 25

Solution set is x = 25 or 26.

b. |5x-1| +8 < 6

⇒|5x-1|  < -2

⇒5x -1 < -2 or 5x -1 > 2

⇒ x< -1/5 or x > 3/5

Empty set.

c.  3|x-4|+5 < 4

⇒3|x-4|  < -1

⇒x -4 < -1/3 or x -4 > 1/3

⇒ x< -11/3 or x > 13/3

Empty set.

d. 2|x + 7| +3 = 2

⇒2|x + 7|  = -1

⇒|x + 7|  = -1/2

⇒ (x+7) = -1/2 or (x+7) = 1/2

⇒x= -15/2 or -13/2

Solution set is x= -15/2 or -13/2.

Therefore, For the given absolute value equations and inequalities the following have solution set which is not empty set.

a.  |2x-51|-3 = -2 has solution set x = 25 or 26.

b  |5x-1| +8 < 6 has empty set.

c.  3|x-4|+5 < 4 has empty set.

d.  2|x + 7| +3 = 2 has solution set x = -15/2 or -13/2.

Learn more about absolute value here

brainly.com/question/1301718

#SPJ1

Answer: 6x - 18 = 6 • (x - 3)

Step-by-step explanation: Pulling out like terms

If A is 5, b is 5, and C is 6 the quadratic equation is in standard form using those numbers will be y = 5x² + 5x + 6 and the vertex of the parabola is (-0.2, 5.2)

Any equation of the form  [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

It is given that,

a = 5, b = 5 and c = 6

The quadratic equation is in standard form as,

y = ax² + bx + c

Put the values as

y = 5x² + 5x + 6

Differentiate the above equation and equate to 0 to obtain the vertex point,

y' = 10x + 5

0=10x + 5

5x + 1 = 0

5x = -1

x = -0.2

Substitute the value of x as

y = 5x² + 5x + 6

y = 5(-0.2)² + 5(-0.2) + 6

y = 5.2

The vertex of the parabola is (-0.2, 5.2)

Thus, if A is 5, b is 5, and C is 6 the quadratic equation is in standard form using those numbers will be y = 5x² + 5x + 6 and the vertex of the parabola is (-0.2, 5.2)

Learn more about quadratic equations here:

brainly.com/question/17177510

#SPJ1

Answer: 26

Step-by-step explanation:

2+3=5

5+3=8

8+3=11

11+3=14

14+3=17

17+3=20

20+3=23

23+3=26

Answer:

6x-1 is x=-1

5x+7 is x=7

Step-by-step explanation:

There are 2 tusks for every  8 whiskers.

There is 1 tusk for every 4 whiskers.

How are the ratios calculated?

First image:

Number of whiskers in the first image = 4

Number of tusks in the first image = 0

Second image:

Number of whiskers in the second image = 4

Number if tusks in the second image = 2

Total number of whiskers = 4+4

                                           = 8

Total number of tusks = 0 + 2

                                     = 2

Rewriting as ratios,

a) Tusks: whiskers

     2: 8

So, from the ratio, there are 2 tusks for every 8 whiskers.

b) Tusks: whiskers

     2: 8

     1 : 4

So, from the ratio, there is 1 tusk for every 4 whiskers.

To learn more about ratios, refer:

https://brainly.com/question/2914376

#SPJ9

if two parallel lines are cut by a transversal then each pair of alternate interior angles are congruent.

Two straight lines are parallel if they intersect a horizontal line so that their corresponding angles are coincident. Two line segments are parallel if they intersect the transverse line so that the alternating interior angles are congruent. When two parallel lines cross a horizontal line, they form an equilateral interior angle, and their sum equals 180 degrees.

The angles are complementary because the sum of the interior angles on equal sides is 180 degrees. The sum of the interior angles formed by one side of a horizontal line is two right angles. Alternating interior angles are formed by a horizontal line intersecting two parallel lines. They lie between two parallel lines, but on opposite sides of the horizontal line, creating two pairs of alternating interior angles four angles total.

Learn more about The interior angles here:-https://brainly.com/question/24966296

#SPJ1

We expand the bracket :
3(-x - 6) = 3 x (-x) - (3 x 6)
= -3x - 18.

So, we have :

___ - 18 = -3x - 18

Add 18 to both sides :
___ = -3x
=> The quantity we need to find is -3x.

The condition m∠GLA + m∠ALD = m∠GLD is proved by the Angle Addition Postulate.

For the given question;

A is the interior angle of ∠GLD.

m∠GLA + m∠ALD = m∠GLD is proved by the Angle Addition Postulate.

To know more about the Angle Addition Postulate, here

https://brainly.com/question/4208193

#SPJ13

The ratio of 5 days to 60 hours is 2:1.

So, the ratio of 5 days to 60 hours:

Then, ration os 5 days to 2.5 days

Therefore, the ratio of 5 days to 60 hours is 2:1.

Know more about ratios here:

https://brainly.com/question/2328454

#SPJ13

Answer:

100.8 is the correct answer

Answer:

100.8

Step-by-step explanation:

100.8 > 1.0079

For given two state parks Elm Grove and Cathedral Rock, the range of visitors per day to Elm Grove Park is equal to the range of visitors per day to Cathedral Rock Park.

Also, the maximum number of visitors to Elm Grove Park is less than the minimum number of visitors to Cathedral Rock Park.

The correct statements are statement 1 and statement 2

Here, we have been given two state parks Elm Grove and Cathedral Rock. Each recorded the number of visitors to the park each day for 15 days.

We were given line graphs of this data.

We have to choose the correct statements about the two plots.

For Elm Grove Park,

Maximum number of visitors: 350

Minimum number of visitors: 50

Range of visitors per day,

350-50 = 300

And in case of Cathedral Rock Park,

Maximum number of visitors 600

At least 300 visitors and the range of visitors per day is 600-300 = 300

This means that the range of visitors per day to Elm Grove Park is equal to the range of visitors per day to Cathedral Rock Park.

Also, the maximum number of visitors to Elm Grove Park is less than the minimum number of visitors to Cathedral Rock Park.

The correct statements are statement 1 and statement 2

Learn more about the range here:

https://brainly.com/question/20259728

#SPJ1

Answer:

A and C

Step-by-step explanation: The range of visitors in a day to Cathedral Rock is equal to the range of visitors in a day to Elm Grove.

The range of visitors in a day to Cathedral Rock is equal to the range of visitors in a day to Elm Grove.

The greatest number of visitors in a day to Elm Grove is greater than the least number of visitors in a day to Cathedral Rock.

The greatest number of visitors in a day to Elm Grove is greater than the least number of visitors in a day to Cathedral Rock.

The value of x from given linear equation is -4.

The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.

For example, 2x+3=8 is a linear equation having a single variable in it.

Given that x + 16 + x = – 3 x – 4

To find the value of x solving the given linear equation

x + 16 + x = – 3 x – 4

⇒ 2x + 16 = -3x - 4

⇒ 2x + 3x = -4 -16

⇒ 5x = -20

⇒ x = -20/5

⇒ x = -4

To learn more about linear equations in one variable visit:

brainly.com/question/17139602

#SPJ1

The variance of the sample mean x = 7 is 18(option c).

Given table:

X          7  5  11   1   11

(x₁ - x)² 0  4  16 36 16​

n = number of observations = 5

Variance σ² = 1/n-1 Σ[tex]\ \ n} \atop {i=1} \right.[/tex] ([tex]X_{1}[/tex] - X)²

= 1/5-1 (0 +4 + 16 + 36 + 16)

= 1/4(72)

= 18

Therefore variance σ² = 18

Hence the variance of the sample mean x = 7 is 18.

so option c is correct.

Learn more about the variance and sample mean here:

https://brainly.com/question/16032058

#SPJ1

​

The 1969 Major League Baseball season was contested from April 7 to October 16, 1969. It included the third Major League Baseball expansion of the decade, with the Kansas City Royals, Montreal Expos, San Diego Padres, and Seattle Pilots each beginning play this season. The season was also celebrated as the 100th anniversary of professional baseball, honoring the first professional touring baseball team, the Cincinnati Red Stockings of 1869.

This was the first season of the "Divisional Era". With each league expanding from 10 teams to 12 teams, both leagues were divided into two six-team divisions. Teams continued to play 162-game schedules, in place since 1962, by now playing the other five teams in their own division 18 times each (90 games) and playing the six teams in their league's other division 12 times each (72 games). The winners of each division would advance to the postseason and face each other in a League Championship Series, then a best-of-five series, to determine the pennant winners that would face each other in the World Series.

The Baltimore Orioles won the AL East with an MLB-best 109–53 record, and then defeated the AL West champion Minnesota Twins in three games in the first American League Championship Series. The New York Mets won the NL East division with an NL-best 100–62 record, and then defeated the NL West champion Atlanta Braves in three games in the first National League Championship Series. The "Miracle Mets", having joined the league in 1962, were the first expansion team to win a pennant.

The upstart Mets went on to upset the heavily favored Orioles in the World Series, four games to one, in what is considered one of the greatest upsets in World Series history.[1]

HOPES THIS HELPS :D

The statements that are true about the solution to the system of equations are

y coordinate, of the solution is = (-8) ,

x coordinate, of the solution is = (9) , and

The ordered pair that is solution to the system lies in Quadrant IV .

In the question ,

the system of equations are given as

4x+3y = 12   ...(1)

and 2x +3y = -6    ...(2)

to solve for x and y , we subtract equation (2) from equation(1) .

So , On subtracting , we get

(4x+3y)-(2x+3y)= 12-(-6)

4x+3y-2x-3y = 12+6

4x-2x +3y-3y = 18

2x = 18

x = 18/2

x = 9

Put x=9 in equation [tex](1)[/tex], we get

4(9)+3y=12

36+3y=12

3y = 12-36

3y = -24

y= -24/3

y = -8

Since x coordinate is +9 and y coordinate is -8 ,

so the solution lies in Quadrant IV.

Therefore , The statements that are true about the solution to the system of equations are

y-coordinate, of the solution is =  (-8) ,

x-coordinate, of the solution is =  (9) , and

The ordered pair that is solution to the system lies in Quadrant IV .

Learn more about Equations here

https://brainly.com/question/27911202

#SPJ1

Given expression

Simplify the parenthesis:

Apply the negative exponent rule:

Apply the product of a power rule:

Apply product of the product law:

The total degree when the indegree is 5 and the outdegree of 10 is 15.

The number of head ends next to a vertex is referred to as the vertex's indegree, and the number of the tail ends next to a vertex is referred to as the vertex's outdegree (called branching factor in trees).

The location on a graph has an indegree of 5 and an outdegree of 10.

The sum of the indegree and the outdegree is the total degree of the vertex. The indegree is written as deg−(x) and the outdegree is written as deg+(x).

The total degree will be:

= indegree + outdegree

= deg⁻(x) + deg⁺(x)

= 5 + 10

= 15

The total degree is the sum of in and outdegree is 15.

Learn more about indegree and outdegree here:

brainly.com/question/14762334

#SPJ9

From absolute value we get the table of values are for x = 0, we get x = 1, we get y = 0, for x < 0, we get y > 1 and for x > 0, we get y > 1

What is absolute value?

The non-negative value of x, regardless of its sign, is referred to as the absolute value or modulus of a real number in mathematics and is denoted by the symbol |x|. For example, displaystyle |x|=x if x is a positive number, displaystyle |x|=-x if x is a negative number, and displaystyle |0|=0 otherwise.

Given y = |x - 1|

When x = 0, we get

y = |0 - 1|

=> y = |-1| = 1

When x < 0, we get

y > 1, as absolute value always give positive value

When x = 1, then we get

y = 0

When x > 0, then we get

y > 1.

Therefore, the table of values are for x = 0, we get x = 1, we get y = 0, for x < 0, we get y > 1 and for x > 0, we get y > 1

To learn more about absolute value from the given link

https://brainly.com/question/24368848

#SPJ9

the given expression is,

56 /(-14)

so the answer is -4.

you can check the answer

by multiplying the (-14) to -4,

LHS = RHS so we use the expression -14 x -4 to check the answer.

Answer:

88

Step-by-step explanation:

Answer: C) 8.1 x 105

The distance covered by the aeroplane moving with constant speed is 2412 miles in 3 hours.

The formula for speed is;

Speed = distance/ time

s = d/t

For the given question,

An air plane flies with a constant speed of 804 miles per hour.

speed 's' =  804 mi / hour.

Time 't' = 3 hours.

Put the values in formula.

804 = d/3

d = 804×3

d = 2412 miles

Thus, the distance covered by the aeroplane moving with constant speed is 2412 miles in 3 hours.

To know more about speed of the body, here

https://brainly.com/question/18870523

#SPJ13

Answer:

∠5

Step-by-step explanation:

If Im not mistaken with the order of angles, ∠5 is the answer because they are both angles in the middle of he transversal making them interior angles, then alternate is pretty self explanatory.

Answer:

−2,744

Step-by-step explanation:

What is the value of [tex](-14)^{3}[/tex] when evaluated?

A. −2,744

B. −196

C. 42

D. 2,744

Answer:

Step-by-step explanation:

Answer:  HI! I believe that the answer would be this symbol (I put it below)

>

Step-by-step explanation:

So sorry if this is wrong