Solve the inequality |x| < 5.

{x|-5 < x < 5}
{x|x < -5 ∪ x > 5}
{x|x -5 ∪ x < 5}

Answers

Answer 1
Hello!

The answer is:

{-5<x<5}

Why?

To solve the problem, we need to remember how Absolute Value Functions behave, when we have this type of function, related to an inequality, the solution will be between two values.

We are given the inequality:

[tex]|x|<5[/tex]

So, we know that "x" will be between -5 and 5:

[tex]-5<x<5[/tex]

Hence, the solution of the given inequality will be:

(-5,5) or {-5<x<5}

Have a nice day!

Answer 2

Answer:

{x|-5 < x < 5}

Step-by-step explanation:

I got the answer right.


Related Questions

Reynaldo is a landlord who owns several rental homes one all wood home in the suburbs is worth 95,000 because the renters insure their own belongings what is the premium Reynaldo pays for property insurance per year?

Answers

Answer:B

95,000÷100 then multiply by $0.83 since it's a wood home in the suburbs.

Step-by-step explanation:

Answer:

788.5

Step-by-step explanation:

The area of the base of a rectangular prism is 18 cm2. The height of the prism is 9 1 2 cm. What is the volume of the prism? A) 27 1 2 cm3 B) 54 1 2 cm3 C) 84 3 4 cm3 D) 171 cm3 please answer quick

Answers

Multiply the area of the base by it's height.

18 x 9 1/2 = 171 cm^3

The answer is D.

Answer:

D) 171 cm3

Step-by-step explanation:

If y is 4.5 when x is 3, and y varies directly with x, find y when x is 9. 1.5 7.5 10.5 13.5

Answers

ANSWER

13.5

EXPLANATION

It was given that, y varies directly as x.

Therefore, the variation equation is of the form:

[tex]y = kx[/tex]

If y is 4.5 when x is 3, then we can substitute to find the constant of variation.

[tex]4.5 = 3k[/tex]

Divide both sides by 3;

[tex]k = \frac{4.5}{3} [/tex]

[tex]k = \frac{3}{2} [/tex]

Hence the equation becomes:

[tex]y = \frac{3}{2} x[/tex]

When x=9,

[tex]y = \frac{3}{2} \times 9 = 13.5[/tex]

The histogram shows the weekly attendance of participants in a school's study skills program. Student attendance numbers were the same during which two weeks of the workshop?

Answers

Student attendance numbers were the same during which two weeks of the workshop? B. weeks 2 and 4

Explanation:

A histogram is the graphical display of data by using bars of different heights. Histograms provide a visual interpretation of numerical data by indicating the number of data points that lie within a range of values. Histogram was first introduced by Karl Pearson in 1891.

Some histograms presented with the independent variable along the vertical axis and dependent variable along the horizontal axis.  The histogram attached below shows the weekly attendance of participants in a school's study skills program. In the histogram the x axis is number of weeks and y axis is number of students in attendance.

According to the histogram attached we can see that in week 1 the Student attendance was 8, in week 2 the Student attendance was 12, in week 3 the Student attendance was 15, in week 4 the Student attendance was 12, in week 5 the Student attendance was 18, in week 6 the Student attendance was 16. Hence the Student attendance numbers are the same during week 2 and 4 of the workshop. Therefore the correct option is B

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Student attendance numbers were the same in week 2 and 4

What is a histogram?

A histogram is a graphical representation of data that uses bars of various heights. By showing how many data points fall inside a certain range of values, histograms provide numerical data a visual interpretation. Karl Pearson initially described the histogram in 1891.

In some histograms, the dependent variable is displayed along the horizontal axis and the independent variable is given along the vertical axis. Participants in a school's study skills program's weekly attendance are depicted in the histogram below. The number of weeks is on the histogram's x-axis and the number of students present is on the y-axis.

GIVEN

The histogram that is attached shows that the student attendance for the first week was 8, for the second week was 12, for the third week was 15, for the fourth week was 12, for the fifth week was 18, and for the sixth week was 16. Thus, the student attendance figures for weeks two and four of the program are identical.

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Brainliest + Points! I need help please explain

Answers

Answer:

D

Step-by-step explanation:

AB is in the first quadrant

Coordinate points in the first quadrant are (x, y)

Under a reflection in the x- axis

a point (x, y ) → (x, - y) ← a point in quadrant 4 → D

Which expression represents the area of the rectangle
(2x+7)(4x+5)?

Answers

So we'll do FOIL (first, outer, inner, last)

The equation is (4x+5)(2x+7)

First, 4x·2x=8x²

Outer, 4x·7=28x

Inner, 5·2x=10x

Last, 5·7=35

Add like terms and you get:

8x²+38x+35

Final answer:

The area of the rectangle represented by the expression (2x+7)(4x+5) is calculated by distributing and combining like terms, yielding the answer 8x^2 + 38x + 35.

Explanation:

The expression (2x+7)(4x+5) represents the area of rectangle in Algebra. The area of a rectangle is calculated as length times width, and in this case, the length is 2x+7 and the width is 4x+5.

To calculate the area, we will need to multiply these two expressions, also known as using the distribution property of multiplication over addition.

Apply the distributive property:

2x * 4x = 8x^22x * 5 = 10x7 * 4x = 28x7 * 5 = 35

Combine like terms:

8x^2 + 10x + 28x + 35 = 8x^2 + 38x + 35.

So, the area of the rectangle is represented by the expression 8x^2 + 38x + 35.

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Find the surface area of this triangular prism Please help is appreciate it

Answers

Answer: 5,376in.

Step-by-step explanation:

Volume of a prism = Bh

B = 1/2bh

B = 7 x 24 = 168

168 x 32 = 5,376in.

Simplify the expression. X^2-x/2x-2x^2

Answers

Answer:

[tex]\large\boxed{\dfrac{x^2-x}{2x-2x^2}=-\dfrac{1}{2}}[/tex]

Step-by-step explanation:

[tex]\dfrac{x^2-x}{2x-2x^2}=\dfrac{x^2-x}{-2(x^2-x)}\\\\\text{cancel}\ (x^2-x)\\\\=-\dfrac{1}{2}[/tex]

there is a picture of Cube with the #6

Match each prism with its volume

here are the choices

36
45
60
216
250
546

Answers

Answer:

going down the picture

45

36

250

546

216

60

Step-by-step explanation:

What she said....... is what i was going to say but yes that person is correct

nicole worked for 6 hours and 15 minutes. how should she write that on her time card
A. 7.0
B. 6.25
C. 6.15
D. 6.75​

Answers

Answer:

B since 6 is a whole number for hours it would be 6 and 15 is 1/4 of 60 it would be 0.25 meaning, 6.25

Step-by-step explanation:

The time card will have 6.25 hours.

What are the steps in converting measurement of time?

To convert units of measurement for time, here are the steps.

Step #1: Identify the units used.

Step #2: Determine the relationship between the units.

Step #3: Determine the conversion factor (in fraction form).

Step #4: Multiply the original measurement by the conversion factor.

Given:

6 hours and 15 minutes

= 6 + 15/60

=6 + 1/4

=6+0.25

=6.25 hours

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Which expression is represented by the model?


A. X-3
B. X+3
C. -X-3
D.-X+3

Answers

first we know that the X is negative so we can ignore number A and B because they are positive.

Then we are left with two solutions and if you referred to the picture we know that whatever comes after has to be positive

So the correct answer is D

Answer:

D. -X + 3.

Step-by-step explanation:

There are 3 plus signs and a -x.

In set builder notation Write a compound inequality to represent all of the numbers between -4 and 6. (example..... {x|2

Answers

For this case, we must represent the numbers that are included between -4 and 6. Let "x" be the variable that represents these numbers, then we have:

[tex]-4 <x <6[/tex]

If the set includes -4 and 6 then we have:

[tex]-4\leq x\leq 6[/tex]

Answer:

[tex]{x | -4 <x <6}[/tex] or

[tex]{x | -4\leq x\leq 6}[/tex]

Suppose that we wish to assess whether more than 60 percent of all U.S. households in a particular income class bought life insurance last year. That is, we wish to assess whether p, the proportion of all U.S. households in the income class that bought life insurance last year, exceeds .60. Assume that an insurance survey is based on 1,000 randomly selected U.S. households in the income class and that 640 of these households bought life insurance last year

Answers

Answer:

dont know

Step-by-step explanation:

Answer:

Step-by-step explanation:

Set up hypotheses as:

[tex]H-0: p=0.60\\H_a: p >0.60[/tex]

(Right tailed test)

Sample proportion p = favourable/total = [tex]\frac{640}{1000} =0.64[/tex]

p difference [tex]=0.64-0.60 =0.04[/tex]

Sample std error = [tex]\sqrt{\frac{pq}{n} } =\sqrt{\frac{0.64(0.36)}{1000} } \\=0.0152[/tex]

Critical value for95% = 1.96

Margin of error = [tex]1.96(0.0152)\\= 0.0298[/tex]

Confidence interval for proportions

=[tex](0.64-0.0298, 0.64+0.0298)\\=(0.6102,0.6698)[/tex]

Since confidence interval does not contain 0.60 we reject null hypothesis.

At 5% significance level we can accept thta proportion >0.60

In the drawer, there are 9 knives, 9 spoons, and 4 forks. What is the probability of randomly drawing a knife or spoon?

Answers

Answer:

Hello! Your answer is 36%

Step-by-step explanation:

9+9=18.

18/5 = 18÷5

18÷5 = 3.6 = 36%

HOPE THIS HELPS!

Answer:

Your answer is 36%

Step-by-step explanation:

9+9=18÷5=3.6=36%

Please hurry!!
The children's section is rectangular and has three of its corners at (-10, 10), (-10, 4), and (-3, 10). What are the coordinates of the remaining corner?

Answers

(-3,4)

If its rectangular then parallel lines must be the same size , just draw it and it will make a lot of sense

Answer is (-3,4)

See photo

What’s 92508253 in words

Answers

92,508,253

Ninety-two million, five hundred eight thousand, two hundred fifty-three

Answer:

ninety-two million, five hundred eight thousand, two hundred fifty-three

The prism below is made of cubes which measure 1/3 of a centimeter on one side. What is the volume?


A. 20 cubic cm

B. 20/3 cubic cm

C. 20/27 cubic cm

D. 3 cubic cm

Answers

Answer:

the answer is C.  20/27 cubic cm.

Step-by-step explanation:

V = LWH

length 5(1/3 cm)

width 2(1/3 cm)

height 2(1/3 cm)

V = (5/3 cm) (2/3 cm) (2/3 cm)

V = 20/27 cubic cm.

Answer:

c

Step-by-step explanation:

Which of the following are considered measures of center?

I. mean
II. median
III. mean absolute deviation

Answers

Answer:

only 1 and 2

(mean and median)

the mean absolute deviation is the measure of variability

Step-by-step explanation:

Mean and median are the measures of center


Jeffrey surveys the 13 girls and 13 boys in his class to find out how many pairs of shoes they have in their closets. Which statement is true

Answers

Answer:

the answer is c

Step-by-step explanation:

The median number of shoes for the girls is greater than the median number of shoes for the boys. To find the medians, order the data sets and find the middle value.

The statement which is true about Jeffery's survey of the 13 girls and 13 boys is;

Mean and Median as a measure of Central Tendency

Although, the mean and median are statistical measures of central tendency.

It follows from the data obtained from the survey that:

The mean and median for the girls are greater than the mean and median of the boys respectively.Additionally, the value of Q1 and Q3 for the girls is greater than that of the boys respectively.

On this note, it follows from the Inferences above that, the statement which is true about the survey is; The value of Q1 for the girls is greater than the value of Q1 for the boys.

Remarks:

A)The value of Q1 for the girls is greater than the value of Q1 for the boys.

B) The value of Q3 for the boys is greater than the value of Q3 for the girls.

C)The mean number of shoes for the boys is greater than the mean number of shoes for the girls.

D)The median number of shoes for the boys is greater than the median number of shoes for the girls.

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Given :△ABC (to the right), AB = 15, BD = 9,
AD ⊥BC m∠C = 30°. Find the perimeter of triangle.



Answers

Answer:

48 + 12√3 units

Step-by-step explanation:

ALL LENGTHS MUST BE POSITIVE (I did this to avoid writing ± and showing that only + works)

1. Find AD (you'll find why later): 15² = 9² + AD² --> AD² = 144 --> AD =  12

2. 30-60-90: 12-DC-AC --> AC = 24, DC = 12√3 (side opposite of 90 is double side opposite of 30, side opposite of 60 is √3 times the opposite of 30)

P = AB + BD + DC + AC = 15 + 9 + 12√3 + 24 = 48 + 12√3 units

Final answer:

The perimeter of triangle △ABC is found by summing all sides of the triangle, resulting in 51.

Explanation:

In this question, we are dealing with the triangle △ABC. We know that AB = 15, BD = 9, AD is perpendicular to BC, and m∠C = 30°. Remember, the sum of all sides in a triangle constitutes the perimeter.

Given that AB=15 and BD=9, and as BD is the opposite side of m∠C = 30°, we know that the hypotenuse is twice the length of the opposite side in a 30-60-90 triangle. Thus, AD = 2BD = 18. Since AD is also perpendicular to BC, AD divides the triangle into two right triangles.

We know that the side adjacent to ∠C is half the length of the hypotenuse in a 30°-60°-90° triangle. Hence, CD = AD/2 = 18/2 = 9. Now, BC = BD + CD = 9 + 9 = 18. Summing up all sides of the triangle, the perimeter of △ABC = AB + BC + AC = 15 + 18 + 18 = 51.

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If r(x) = 2 – x2 and w(x) = x – 2, what is the range of (w.r) (x)?

Answers

Final answer:

The range of (w.r)(x) is all real numbers.

Explanation:

The range of (w.r)(x) can be found by substituting the value of x from w(x) into r(x). So, we have:

(w.r)(x) = r(w(x)) = 2 - (x - 2)^2 = 2 - (x^2 - 4x + 4) = 6 - x^2 + 4x.

Therefore, the range of (w.r)(x) is all real numbers.

whats 4 ways to make 23 cents using dimes,nickels, and pennies

Answers

23 pennies

4 nickels, 3 pennies

2 dimes, 3 pennies

1 dime, 2 nickles, 3 pennies

i need help please thank you

Answers

Answer:

2 < x < 7

Step-by-step explanation:

2 is less than x can be written as ...

2 < x

7 is greater than x can be written as ...

7 > x

It can also be written with the expressions and symbol reversed:

x < 7

Then the two inequalities can be combined into one compound inequality:

2 < x < 7

Answer:

2-x + 7 > x

Step-by-step explanation:

Which graph matches the equation y = -(x-2)2

Answers

Final answer:

The equation y = -(x-2)² represents a parabola opening downwards with a vertex at (2, 0). To find the matching graph, plot several points by calculating y for chosen x values and then connect the points to reveal the parabola's shape.

Explanation:

The student is asking for the graph that matches the equation y = -(x-2)². This equation represents a parabola that opens downwards due to the negative sign in front of the parenthesis. To plot this, we'll need to create a table of values by choosing different x values, inserting them into the equation, and calculating the corresponding y values. After plotting these points, we'll see the shape of the parabola. Its vertex, the highest point on the graph due to the downward opening, will be at (2, 0) since the equation is in the form y = -a(x - h)², where (h, k) is the vertex of the parabola.

Steps for Plotting:Choose x values around the vertex (2, 0).Calculate y for each x.Plot the points on the coordinate plane.Connect the points to form a parabola.

72/10 is equal to which number

Answers

It is equal to 7.2

Hope this helps.

Answer:

7.2

Step-by-step explanation:

Imagine math 2021

Melisa is throwing a birthday party for her son. She ordered 4 pizzas, she realizes that her son invited more people than she thought, so she decides to order 1 more pizza for every 3 people that come to the party. The total number of pizzas, y , can be expressed in terms of the number of people that show up to the party, x . which inequality represents this situation?
y = -one third x + 4
y = one third x + 4
y = 3x - 4
y = 3x + 4

Answers

Answer:

y = 3x + 4

Step-by-step explanation:

3x would be the number of people that show up to the party times the number of pizza's needed plus the 4 she already ordered

Help on number nine please?​

Answers

im pretty sure true because they do not intersect and are not parallel :)

Answer:

true

Step-by-step explanation:

what is the area of the triangle shown below?​

Answers

Answer: 18

Step-by-step explanation:

Per a.p.e.x

Final answer:

The area of a triangle can be found using the formula: Area = (base × height) / 2.

Explanation:

The area of a triangle can be found using the formula: Area = (base × height) / 2. To find the area of the triangle shown below, you need to know the length of the base and the height. Once you have those values, you can plug them into the formula to calculate the area.

Mr. Jones is getting a 6% raise. If he made $720 a week, how much more will he make with the raise?

Answers

$720 * .06 = 43.2

He will make $43.20 more each week.

Please Help! :C A bathroom is located at (-9, 0) on the map. How far would someone have to walk to get from the checkout desk to the bathroom. Explain or show how you got your answer.

Answers

Answer:

you would have to walk 9 to the left.

Step-by-step explanation:

I'm assuming that the checkout desk is at (0,0) You would have to walk 9 to the left because on a coordinate plane negative is either left or down. since the -9 is on the x axis it is 9 to the left. Can I get brainliest

Answer:

walk 9 to the left

Step-by-step explanation:

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