write an inequality for the graph using x for the variable.

Write An Inequality For The Graph Using X For The Variable.

Answers

Answer 1

Given:

There are given that the inequality graph.

Explanation:

In the given question, there are given number line graphs, in which the arrow has been shown in a negative direction.

Also,

There are given that the number 2 has not been included in the given graph.

So,

The inequality will be:

[tex]x<2[/tex]

Final answer:

Hence, the inequality is shown below:

[tex]x\lt2[/tex]


Related Questions

Which of the following is equivalent to a rhombus? *O A rectangle with congruent diagonalsA parallelogram where opposite angles are congruentA parallelogram with two consecutive congruent sidesA quadrilateral where consecutive angles are supplementary

Answers

A parallelogram with two consecutive congruent sides.

1) Since a rhombus is a quadrilateral with 4 congruent sides. Then we can examine the options and state that

2) Given that a rhombus has congruent opposite angles, with four congruent sides.

3) The answer is

A parallelogram with two consecutive congruent sides.

With two consecutive sides, the whole polygon will have congruent sides.

The maximum value in this range is: Use the range rule of thumb to determine whether 1 girl in 10 births is a significantly low number of girls.

Answers

Answer:

The maximum value in the range is 8.113

1 girl in 10 births is a significantly low number of girls.

Explanation:

Note that the range rule of thumb says that the range of about 4 times the standard deviation.

We'll use the below formula to determine the standard deviation;

[tex]\begin{gathered} \sigma=\sqrt[]{\lbrack\sum^{}_{}x^2\cdot P(x)\rbrack-\mu^2} \\ \text{where }\mu=\text{ population mean} \end{gathered}[/tex]

Let's go ahead and determine the mean as seen below;

[tex]\mu=\sum ^{}_{}\lbrack x\cdot P(x)\rbrack[/tex][tex]\begin{gathered} \mu=(0\cdot0.005)+(1\cdot0.12)+(2\cdot0.039)+(3\cdot0.113)+(4\cdot0.196)+(5\cdot0.235)+(6\cdot0.209) \\ +(7\cdot0.113)+(8\cdot0.036)+(9\cdot0.016)+(10\cdot0.026) \end{gathered}[/tex][tex]\begin{gathered} \mu=0.12+0.078+0.339+0.784+1.175+1.254+0.791+0.288+0.144+0.26 \\ \mu=5.233 \end{gathered}[/tex]

Let's now determine the below;

[tex]\begin{gathered} \sum ^{}_{}x^2\cdot P(x)=(0^2\cdot0.005)+(1^2\cdot0.12)+(2^2\cdot0.039)+(3^2\cdot0.113)+(4^2\cdot0.196)+(5^2\cdot0.235) \\ +(6^2\cdot0.209)+(7^2\cdot0.113)+(8^2\cdot0.036)+(9^2\cdot0.016)+(10^2\cdot0.026) \end{gathered}[/tex][tex]\begin{gathered} \sum ^{}_{}x^2\cdot P(x)=0.012+0.156+1.017+3.136+5.875+7.524+5.537+2.304+1.296+2.6 \\ =29.457 \end{gathered}[/tex]

So the standard deviation will be;

[tex]\sigma=\sqrt[]{29.457-5.233^2}=\sqrt[]{29.457-27.384}=\sqrt[]{2.073}=1.44[/tex]

Let's determine the maximum and minimum value of the distribution as seen below;

[tex]\begin{gathered} Maximum\text{ value = }\mu+2\sigma=5.233+2(1.44)=5.233+2.88=8.113 \\ \text{Minimum value }=\mu-2\sigma=5.233-2(1.44)=5.233-2.88=2.353 \end{gathered}[/tex]

We can see from the above that the number of girls born among 10 children should be between the range of 2.353 and 8.113, therefore 1 girl in 10 births is a significantly low number of girls.

The maximum value in this range is 8.113

The number of fish in a fish tank doubles each week. The function y=equals 3 (2)^x represents the population, where X is the number of one week periodsa. Describe the domains and range of the function. Then graph the functionb. Find and interpret the y intercept c. How many fish are in the tank at the end of first week?d. How many fish are in the tank after 4 weeks?

Answers

a. The domain of the function is the set of values of the independent variable (x) on which the function acts, in this case, the independent variable is time, since the time can only take positive values, the domain would be [0,∞) or x≥0.

The range is all the possible values that the dependent variable can take, in this case, the dependent variable is the population of fish, then it can't be a negative number, since you can't have for example -1 fish, then, again, the interval would be [0,∞) or y≥0

A graph of the function looks like this:

b. We can find the y-intercept by making x equals 0 in the formula of the function, like this:

y= 3*(2)^x

y= 3*(2)^0

y= 3*1, since any number raised to zero equals 1

y=3

Since x equals zero represents the initial time, the y-intercept represents the initial population of fish, then at the beginning, there were 3 fish.

c. We just have to replace 1 for x, and then calculate y, like this:

y= 3*(2)^x

y= 3*(2)^1

y= 3*(2)

y=6

At the end of the first week, there will be 6 fish.

d. Now, we just have to replace 4 for x, like this:

y= 3*(2)^4

y= 3*16

y=48

Then, after 4 weeks, there will be 48 fish

units givenQuestion 2 (3 points)toUsing the Rectangular Prism in the picture, find the Lateral Area, the Area of a Single Base,and the TOTAL Surface Area:.12 cm825 cm10 cmUse the face with dimensions 10cm x 5cm as the base.Lateral Area =cm²Single Base Area =64188 in48cm²

Answers

Solution:

Given the rectangular prism;

Where;

[tex]\begin{gathered} length,l=10cm \\ \\ width,w=5cm \\ \\ height,h=2cm \end{gathered}[/tex]

Thus, the lateral area, L is;

[tex]\begin{gathered} L=2(l+w)h \\ \\ L=2(10+5)2 \\ \\ L=4(15) \\ \\ L=60cm^2 \end{gathered}[/tex]

ANSWER:

[tex]Lateral\text{ }Area=60cm^2[/tex]

Also, the single base area, B, is;

[tex]\begin{gathered} B=l\times w \\ \\ B=10\times5 \\ \\ B=50cm^2 \end{gathered}[/tex]

ANSWER:

[tex]Single\text{ }Base\text{ }Area=50cm^2[/tex]

Then, the surface area, S, is;

[tex]\begin{gathered} S=L+2B \\ \\ S=60+2(50) \\ \\ S=60+100 \\ \\ S=160cm^2 \\ \\ \end{gathered}[/tex]

ANSWER:

[tex]Surface\text{ }Area=160cm^2[/tex]

Ronald was 1.5 times olderthan Megan. If Ronald was 27years old, how old is Megan?Write an equation to solve.

Answers

Solution:

Let x represent Ronald's age, and y represent Megan's age.

Thus,

[tex]\begin{gathered} x\Rightarrow Ronald^{\prime}s\text{ age} \\ y\Rightarrow Megan^{\prime}s\text{ age} \end{gathered}[/tex]

Given that Ronald was 1.5 times older than Megan, we have the equation to be represented

[tex]x=1.5y\text{ ---- equation 1}[/tex]

If Ronald was 27 years old, we have

[tex]x=27[/tex]

Substituting the value of 27 for x into equation 1, we have

[tex]\begin{gathered} 27=1.5y \\ solve\text{ for y by dividing both sides by the coefficient of y,} \\ \frac{27}{1.5}=\frac{1.5y}{1.5} \\ \Rightarrow y=18 \end{gathered}[/tex]

This implies that Megan's age is

[tex]18\text{ years}[/tex]

Find the largest angle of △TUV. Assume that s is a positive number.

Answers

Remember that

In any triangle: The shortest side is always opposite the smallest interior angle. The longest side is always opposite the largest interior angle

so

In this problem

the largest interior angle is opposite to the longest side (TU)

that means

the largest interior angle is

Find the circumference of this circleusing 3 for T.C ~ [?]14C = 27r

Answers

Hello! To calculate the circumference, we have to use the formula below:

[tex]C=2\cdot\pi\cdot r[/tex]

pi = 3

radius (r) = 14

Replacing these values in the formula, we will have:

[tex]\begin{gathered} C=2\cdot3\cdot14 \\ C=6\cdot14 \\ C=84 \end{gathered}[/tex]

he following list contains the average annual total returns (in percentage points) for 9 mutual funds. The mutual funds appear in an online brokerage firm'sall-star" list.-9, 23, 12, 4, 11, 5, 36, 7, 31Send data to calculator(a) What is the mean of this data set? If your answer is not aninteger, round your answer to one decimal place.(b) What is the median of this data set? If your answer is notan integer, round your answer to one decimal place.(c) How many modes does the data set have, and what aretheir values? Indicate the number of modes by clicking in theappropriate circle, and then indicate the value(s) of themode(s), if applicable.00zero modesone mode:two modes: andX

Answers

Given

average annual total returns for 9 mutual funds.

-9, 23, 12, 4, 11, 5, 36, 7, 31

Find

a) Mean

b) Median

c) Mode

Explanation

a) Mean = sum of observations/ total number of observation

so ,

[tex]\begin{gathered} mean=\frac{-9+23+12+4+11+5+36+7+31}{9} \\ \\ mean=\frac{120}{9} \\ \\ mean=13.33333\approx13.3 \end{gathered}[/tex]

to find median , we need to arrange in ascending order :

-9 , 4 , 5 , 7 , 11 , 12 , 23 , 31 , 37

there are 9 entries which is an odd number

so , median = (n+1/2)th term

[tex]\begin{gathered} \frac{9+1}{2} \\ \frac{10th}{2} \\ 5th \end{gathered}[/tex]

so , median = 11

there is no mode because no term is repeating.

Final Answer

Hence ,

mean = 13.3

median = 11

mode - zero mode

21. The table below shows the frequency of chirps for the striped ground cricket compared to the ambient temperature, in degrees Fahrenheit.Chirps per SecondTemperature208916722093188417811675157017821569Draw a scatterplot for this data, using x to represent the chirping frequency and y to represent temperature.131415161718192021226768697071727374757677787980818283848586878889909192939495

Answers

Using a graphing calculator :

The scatter plot will look thus:

The textbook isn't helping with the screenshot problem below.

Answers

From the frequency distribution, the measures are given as follows:

a) Total number of observations: 27.

b) The width of each class is of 5.

c) The midpoint of the second class if of 20.5.

d) The modal class is Class 12 - 17.

e) If another class was added, the limits would be 48 - 53.

What is represented by the frequency distribution?

The frequency distribution gives the number of observations that is located in each class.

Hence the total number of observations is given by the sum of the frequencies, as follows:

Total = 9 + 1 + 3 + 8 + 6 = 27.

The modal class is class with the highest number of observations, hence it is of:

Class 12-17.

The width of a class is given by the subtraction of the limits, hence:

Width = 47 - 42 = ... = 23 - 18 = 17 - 12 = 5.

For an added class, the lower bound would be one more than the last class, while the upper bound would be five added to the lower bound, hence the limits are:

48 - 53.

The midpoint of each class is given by the mean of the coordinates, hence, for the second class, it is of:

Midpoint = (18 + 23)/2 = 41/2 = 20.5.

More can be learned about frequency distributions at https://brainly.com/question/24623209

#SPJ1

A county is planning to expand its train service. To better understand the current service, the county planner looked at which train stations are along or not along various train lines

Answers

Solution

(a)

5 stations are along the orange line

(b)

8 stations

Is 128 degrees plus 62 degrees supplementary or complimentary?

Answers

Let's begin by identifying key information given to us:

One angle = 128 degrees, Second angle = 62 degrees

Complementary angle are angles that sum up to 90 degrees

Supplementary angles are angles that sum up to 180 degrees

We will proceed to sum these two angles together. We have:

[tex]\begin{gathered} 128^{\circ}+62^{\circ}=180^{\circ} \\ \therefore These\text{ angles are supplementary angles since they sum up to 180 degr}ees \end{gathered}[/tex]

Therefore, these angles are supplementary angles since they sum up to 180 degrees

Complete the remainder of the table for the given rules

Answers

To complete the table you have to input each value of x in the given equation and solve for y:

Function:

[tex]y=-2x+9[/tex]

For x= -2

[tex]\begin{gathered} y=-2\cdot(-2)+9 \\ y=4+9 \\ y=13 \end{gathered}[/tex]

x= -2 → y=13

For x= 0

[tex]\begin{gathered} y=-2\cdot0+9 \\ y=0+9 \\ y=9 \end{gathered}[/tex]

x=0 → y=9

For x= 2

[tex]\begin{gathered} y=-2\cdot2+9 \\ y=-4+9 \\ y=5 \end{gathered}[/tex]

x=2 → y=5

For x= 4

[tex]\begin{gathered} y=-2\cdot4+9 \\ y=-8+9 \\ y=1 \end{gathered}[/tex]

x=4 → y=1

find the surface area of a composite figure round to the nearest tenth if necessary to units

Answers

The composite image is that of a cuboid and a triangular prism

For the cuboid, the surface area will be

A = LB + 2BH + 2LH

L = 1.8

B= 1.1

H= 0.8

A = 1.8X1.1 + 2 X 1.1 X 0.8 + 2 X 1.8 X 0.8

A = 1.98 + 1.76 +2.88

Area of cuboid = 6.62

Garrick gets paid $4.70 an hour with time-and-a-half for overtime(over 40 hours). How much did he earn one week when he worked 46hours?a. $195.05b. $220.90c. $230.30d. $188

Answers

Solution

For this case we can calculate the total with the following formula:

Fixed amount= 40*4$.70= $188

And now for the remain hours we can do this:

Extra = 6* 1.5*$4.70= $42.3

Then the total amount is:

Fixed amount+ Extra = 188$ + 42.3$ = $230.3

Then the answer is:

c. $230.30

if there are 36 successful outcomes in a sample size of 80 what is the sample proportion

Answers

The sample proportion is the number of successes over the sample size. That is:

36/80 = 9/20

The lowest airport in the world is Atyrau Airport in Kazakhstan at 72 feet below sea level. How would we represent this elevation using negative numbers? 6.NS.5

Answers

ANSWER

-72 ft

EXPLANATION

We can draw a number line:

If the 0 of the number line is sea level, we would normally say that all positive numbers are those that are above sea level and negative numbers those that are below sea level.

Therefore, to represent an elevation that is below sea level, we'd write it as a negative number: -72 ft

Hi how are you today can you please help me with this question

Answers

$ 119.607

Explanation

we can easily solve this by using a rule of three

Step 1

Let

actual price(2020)=price of 2019 + 2%

so

actual price(2020)= 102 % and

price ( 2019)=100 %

let x represents the cost for 2019, so

[tex]\begin{gathered} \text{if} \\ 122\Rightarrow\text{ 102\%} \\ x\text{ }\Rightarrow\text{ 100 \%} \end{gathered}[/tex]

the proportion would be

[tex]\begin{gathered} \frac{122}{102\text{ \%}}=\frac{x}{100\text{ \% }} \\ \text{ Multiply both sides by 100 \%} \\ \frac{122}{102\text{ \%}}\cdot100=\frac{x}{100\text{ \% }}\cdot100 \\ 119.607=x \end{gathered}[/tex]

therefore, the cost in January of 2019 is

$ 119.607

I hope this helps you

At store A, oranges are $3.99 for 5 apples. At store B oranges are $20 for 7 apples which is the better deal?

Answers

Answer:

Store A

Explanation:

To know which is the best deal, we need to find the price per apple for each store, so we need to divide the price by the number of apples.

For store A:

[tex]\frac{\text{ \$3.99}}{5\text{ Apples}}=0.798\text{ per apple}[/tex]

For Store B:

[tex]\frac{\text{ \$20}}{7\text{ Apples}}=2.85\text{ per apple}[/tex]

So, the best deal is Store A because the price per apple is less than the price of Store B.

2500/10.5 please show work

Answers

The given expression is

2500/10.5

We would multiply the numerator and denominator by 10. We have

2500 x 10/10.5 x 10

= 25000/105

We would divide the numerator and denominator by common factors until they can't be simplified further. Dividing by 5, we have

5000/21

It can't be simplified further since there is no common factor of 5000 and 21. We would convert the fraction to mixed fraction

5000/21 = 238 remainder 2

Thus, if we write it as mixed fraction, we have

238 2/21

What are the coordinates of vertex C'after rotating the figure 180° about theorigin?у6BID42A АEXo024 6A. (-6,4)B. (4.-6)C. (4,6)D. (-4,-6)

Answers

Vertex C (4, 6 ) Rotation 180º about the origin CCW c' (-4, -6)

C (x, y ) C ' (-x, -y )

________________

Answer

Option D

C Campus StudentCampus StudentGA-051 st AFJROTCGA-051 st AFJROTC5 New Tabebra_TC_Online LearningSubtracting with a Model3Subtract: 95 - 43Click or tap blocks to subtract them.032O 42O 52O 62

Answers

95 - 43= 52

9 5

- 4 3

______

5 2

____________

5-3 =2

9-4 = 5

______________

Answer

The third choice, 52

A pyramid has a square base with sides of length s. The height of the pyramid is equal to of the length of a side on the base. Which formularepresents the volume of the pyramid?OA. V = ¹8³OB. V=¹8³OC. V=8³OD. V=35³OE V=65³

Answers

Given,

The measure of the length of the side of square is s.

The height of the pyramid is 1/2 of the length of the side.

Required

The volume of the square pyramid.

The formula for the volume of the square pyramid is,

[tex]Volume\text{ =}\frac{side\times side\times height}{3}[/tex]

Substituting the values then,

[tex]\begin{gathered} Volume\text{ =}\frac{s\times s\times s}{3\times2} \\ =\frac{s^3}{6} \end{gathered}[/tex]

Hence, the volume of the pyramid is s^3/6.

What is the volume of this cube? 2 cm 2cm 2cm

Answers

Answer:

The volume is

[tex]8\operatorname{cm}^3[/tex]

Explanation:

The volume of a cube with length l is given by the formula:

[tex]V=l^3[/tex]

Given the length 2 cm

The volume is:

[tex]V=2^3=8\operatorname{cm}^3[/tex]

Shaun estimated that the attendance at a college basketball game was 4,000. The actual attendance was 3,475. What is the percent error of Shaun's estimate? Round to the nearest whole percent.

Answers

Percentage = 100 * (4000 - 3475)/3475 = 100 * (525/3475) = 52500/3475 = 15.1 %

Answer:

15.1%

Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials andthe probability of obtaining a success. Round your answer to four decimal places.P(X ≤ 4), n = 8, p = 0.4

Answers

Answer: [tex]\text{P\lparen X \le4\rparen is 0.8263}[/tex]Explanation:

Given:

n = 8, p = 0.4

To find:

P(X ≤ 4)

To determine the given probability, we will apply the binomial probability formula:

[tex]\begin{gathered} $$P(x=X)=^nC_x\times p^x\times q^{n-x}$$ \\ n\text{ = number of trials} \\ p\text{ = number of success} \\ q\text{ = number of failure} \end{gathered}[/tex][tex]P\left(X≤4\right)\text{ = P\lparen x = 0\rparen + P\lparen x = 1\rparen + P\lparen x =2 \rparen + P\lparen x = 3\rparen + P\lparen x = 4\rparen}[/tex][tex]\begin{gathered} p\text{ + q = 1} \\ q\text{ = 1- p} \\ q\text{ = 1 - 0.4} \\ q\text{ = 0.6} \\ \\ P(x=0)=\text{ }^8C_0\times(0.4)^0\times(0.6)^{8-0} \\ P(x\text{ = 0\rparen = 0.01679616} \\ \\ P(x=1)=\text{ }^8C_1\times(0.4)^1\times(0.6)^{8-1} \\ P(x\text{ = 1\rparen = 0.08957952} \end{gathered}[/tex][tex]\begin{gathered} P(x=2)=\text{ }^8C_2\times(0.4)^2\times(0.6)^{8-2} \\ P(x\text{ = 2\rparen = 0.20901888} \\ \\ P(x=3)=\text{ }^8C_3\times(0.4)^3\times(0.6)^{8-3} \\ P(x\text{ = 3\rparen = 0.27869184} \\ \\ P(x=4)=\text{ }^8C_4\times(0.4)^4\times(0.6)^{8-4} \\ P(x\text{ = 4\rparen = 0.2322432} \end{gathered}[/tex][tex]\begin{gathered} P(X≤4)\text{ = 0.01679616 + 0.08957952 + 0.20901888 + 0.27869184 + 0.2322432} \\ \\ P\left(X≤4\right)\text{ = 0.8263296} \\ \\ To\text{ 4 decimal place, P\lparen X \le4\rparen is 0.8263} \end{gathered}[/tex]

2 multiplied by the square root of 8

Answers

Answer:[tex]4\sqrt[]{2}[/tex]Explanations:

Note that the square root of 8 is written as:

[tex]\sqrt[]{8}[/tex]

2 multiplied by the square root of 8 will then be expressed as:

[tex]\begin{gathered} 2\sqrt[]{8} \\ 2\text{ }\times\sqrt[]{8} \\ 2\text{ }\times\text{ }\sqrt[]{4}\text{ }\times\text{ }\sqrt[]{2} \\ 2\text{ }\times\text{ 2 }\times\text{ }\sqrt[]{2} \\ 4\text{ }\times\text{ }\sqrt[]{2} \\ 4\sqrt[]{2} \end{gathered}[/tex]

A sample has a mean of M = 90 and a standard devia-tion of s 20.=a. Find the z-score for each of the following X values.X = 95X = 80X = 98X = 88X = 105X = 76

Answers

Answer:

[tex]\begin{gathered} X=95,z=0.25 \\ X=80,z=-0.5 \\ X=98,z=0.4 \\ X=88,z=-0.1 \\ X=105,z=0.75 \\ X=76,z=-0.7 \end{gathered}[/tex]

Explanation:

Given a sample with the following:

• Mean,M = 90

,

• Standard deviation, s = 20

To find the z-score for each of the given X values, we use the formula below:

[tex]\begin{equation*} z-score=\frac{X-\mu}{\sigma}\text{ where }\begin{cases}{X=Raw\;Score} \\ {\mu=mean} \\ {\sigma=Standard\;Deviation}\end{cases} \end{equation*}[/tex]

The z-scores are calculated below:

[tex]\begin{gathered} \text{When X=95, }z=\frac{95-90}{20}=\frac{5}{20}=0.25 \\ \text{When X=80, }z=\frac{80-90}{20}=\frac{-10}{20}=-0.5 \\ \text{When X=98, }z=\frac{98-90}{20}=\frac{8}{20}=0.4 \end{gathered}[/tex][tex]\begin{gathered} \text{When X=88,}z=\frac{88-90}{20}=\frac{-2}{20}=-0.1 \\ \text{When X=105, }z=\frac{105-90}{20}=\frac{15}{20}=0.75 \\ \text{When X=76, }z=\frac{76-90}{20}=\frac{-14}{20}=-0.7 \end{gathered}[/tex]

I need help with this question please1) Picture2) In(2x) + ln(7) = 4

Answers

1) We must solve for x the following equation:

[tex]e^{5x}=25.[/tex]

To solve this equation, we take the natural logarithm to both sides of the equation:

[tex]\begin{gathered} \ln (e^{5x})=\ln (25), \\ 5x\cdot\ln e=\ln 25. \end{gathered}[/tex]

Now, we use the following results:

[tex]\begin{gathered} \ln e=1, \\ \ln (25)=\ln (5^2)=2\cdot\ln 5. \end{gathered}[/tex]

Replacing these results in the equation above, we have:

[tex]5x=2\cdot\ln 5.[/tex]

Solving for x, we get:

[tex]x=\frac{2}{5}\cdot\ln 5\cong0.64.[/tex]

2) We must solve for x the following equation:

[tex]\ln (2x)+\ln (7)=4.[/tex]

To solve this problem, we isolate the part that involves the x:

[tex]\ln (2x)=4-\ln (7)\text{.}[/tex]

Now, using the following property:

[tex]\ln y=z\rightarrow y=e^z\text{.}[/tex]

with:

[tex]\begin{gathered} y=2x, \\ z=4-\ln 7. \end{gathered}[/tex]

we have:

[tex]\ln (2x)=4-\ln 7\rightarrow2x=e^{4-\ln 7}.[/tex]

Solving the last equation for x, we get:

[tex]x=\frac{1}{2}\cdot e^{4-\ln 7}\cong3.90.[/tex]

Answers

1) The value of x that solves the first equation is 0.64 to two decimal places.

2) The value of x that solves the second equation is 3.90 to two decimal places.

Review of the base of a logarithm

We can define the logarithm in base a through the following equations:

[tex]\begin{gathered} \log _aa=1, \\ \log _aa^x=x\cdot\log _aa=x\cdot1=x\text{.} \end{gathered}[/tex]

When we use as a base the Euler number e ≅ 2.718, the logarithm is called "natural" and we use the following notation for it:

[tex]_{}\log _e=\ln .[/tex]

With this notation, we have the following properties:

[tex]\begin{gathered} \ln e=1, \\ \ln e^x=x\cdot\ln e=x\cdot1=x\text{.} \end{gathered}[/tex]

factorize 5m^3-10m^2+8m+2

Answers

The expression 5m³ - 10m² + 8m + 2 cannot be factorized

How to factorize the polynomial?

From the question, the polynomial is given as

5m^3-10m^2+8m+2

Rewrite the polynomial properly

So, we have

5m³ - 10m² + 8m + 2

Next, we represent the above expression on a graph

From the attached graph, we can see that the polynomial expression only cross the x-axis at x = -0.197

This implies that the expression cannot be factored

So, we cannot further rewrite the given expression

Read more about factorized expressions at

https://brainly.com/question/2750166

#SPJ1

Other Questions
PLEASEEEEEEEE HEELLP MMEE I WILL MARK BRAINLIEST IF YOU ANSWER WITHIN !10 MINUTES!!!!! 20 pointsCreate a lyric about base 10 using this information as a guide. It must be 12 lines long!Here is some information about the base 10.Heres some info about Base 10 to guide your lyric writing!The Big Take-Away:We like the number 10 when it comes to counting and doing arithmetic. We think 10 is a handy number to useliterally!Some Facts to Explain:We like the number 10 very much when it comes to counting and doing arithmetic. This is likely because we think it is natural to count with our fingers, and we happen to have ten fingers. We write and think about numbers in terms of ones, tens, ten-tens (hundreds), ten-hundreds (thousands), and so on.For example, when we say the number 273 out loud, we say:two hundred, seventy, threeThat is literally two hundreds and seven tens and three ones. (The ty, in English, is short for ten.)The individual symbols in a big number are called digits. We call our fingers and thumbs digits too. This is not a coincidence!Some cultures based the writing of their numbers on twenty rather than ten. They were likely thinking fingers AND toes!Thanks in advance and please make the lyrics in a song form! Select the correct answer.What is the value of the third quartile of the data set represented by this box plot?HHHH12 14 16 18 20 22 24 26 28 30 32 34 36OA19B.21C26OD.29 The function g(x) is a transformation of the quadratic parent function, f(x) =2. What function is g(x)?5f(x)5g(x)O A. g() = {x?O B. g(x) = -122C. g(x) = 4x2O D. g(x) = -4x2 Write a simplified expression for the right half of the equation that can be used to find the nth term in the sequence The sequence is 7,9,11,13,15 pls help me out I really need to sleep 6.) find a formula for the area of a rhombus ( see figure 12.52) in terms of the good distances between opposite vertices. Explain why your formula is valid. question content areathe following forecasted sales pertain to spyware corporation: month sales september $40,000 october 50,000 november 30,000 december 20,000 collection pattern: 65% in month of sale 35% in month following sale accounts receivable as of august 31 $7,000 finished goods inventory as of august 31 1,500 units spyware corporation has a selling price of $2.50 per unit and expects to maintain ending inventories equal to 25% of the next month's sales. what amount is expected to be collected in september? a.$7,000 A wheel on Amanda's bicycle is 0.3 m in diameter. Amanda rides the bicycle in a race, and the wheel turns 50 times during the course of the race. How long is the race?Use the value 3.14 for pie. Round your answer to the nearest tenth. Do not round any intermediate steps. what is the mass of a 2000 pound elephant in kg? A house increase value by 32% since it was purchased. If the current value is $495,000, what is the value when it was purchased? 19. Charlotte has a success rate of about 20%for making baskets in attempts duringbasketball games. She wants to determinethe probability that she will have to make atleast 5 attempts during a game in order tomake a basket. She designed a simulationwhere she spun a spinner that was dividedinto 5 equal sections, one of which wascolored red. She counted how many timesshe had to spin the spinner in each trialbefore it landed on red. The results of her20 trials are shown below.5, 2, 7, 2, 3, 4, 10, 6,4,6,3, 6, 6, 4, 8,5,7,7,1,5According to this simulation, what is theprobability that Charlotte will have tomake at least 5 attempts in order to makea basket? Julia had to abandon her home because it was destroyed by a hurricane. Would you describe Julia as a refugee? solve the polynomial in standard form1) y=(x-3)^2-3(x-4) Is (1, 2). (5,2), (5,4), (7,6). (11, 6) (11,8) a function, yes or no?!!!! eighty-two million, eighty thousand, eleven to standard notation . Find the value of x when: 4/(x - 8) = 8/2 * Can someone give me a clear answer? I'll give or try to give 100 points... The crown is yours after.Part A: Given the function g(x) = |x + 3|, describe the graph of the function, including the vertex, domain, and range. (5 points)Part B: If the parent function f(x) = |x| is transformed to h(x) = |x| 2, what transformation occurs from f(x) to h(x)? How are the vertex and range of h(x) affected? the nurse is preparing to apply a roller bandage to a client with a sprained knee. which technique does the nurse plan to use? A grocery store is giving a reusable bag to every person who donates more than $5 to charity. Daniel donates $5. Will he get a bag? Explain how you know?The problem deals with the same thing if they get a reusable bag if they donate $5 dollars to charity but it says Courtney donates $1.25 dollars will she get a bag? Explain why? PLEASE HELP!!!Match the number with the most specific number set to which it belongs.Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.-45100 89 4.91919191.....-2/50.12112111211112....