Solve the inequality 5u≤8u−21 and write the solution in interval notation

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]5u\leq 8u-21[/tex]

Subtract 8u from both sides

[tex]-3u\leq -21[/tex]

Divide by -3 on both sides

[tex]u\geq 7[/tex]

Interval notation: [greater/less than or equal to], (greater or equal to)

[7,∞)

Answer 2

The solution to the inequality is u ≥ 7, which means that u is greater than or equal to 7. In interval notation [ 7, ∞).

What is inequality?

In mathematics, an inequality is a remark that two values or expressions are not equal. An inequality uses one of the comparison symbols: "<" (less than), ">" (greater than), "≤" (less than or equal to), "≥" (greater than or equal to), or "≠" (not equal to).

Here,

To solve the inequality 5u ≤ 8u - 21, we can start by isolating u on one side of the inequality. We can do this by subtracting 5u from both sides:

5u ≤ 8u - 21

-3u ≤ -21

Divide both sides by -3. Note that dividing by a negative number will reverse the direction of the inequality:

u ≥ 7

Therefore, the solution to the inequality is u ≥ 7, which means that u is greater than or equal to 7. In interval notation [ 7, ∞).

Learn more about inequality here:

brainly.com/question/14098842

#SPJ2


Related Questions

What is the solution to the system of equations below?
y=-3x+9 and y-ſx-12
(21, 2)
(21, -10)
(-21, 16)
(-21, -26)


Answers

I tried every combination. there seems to be something wrong with the informations you gave.

the second equation contains errors, and none of these 4 points can be solutions to the first equation alone

During a sale, a store offered a 15% discount on a couch that originally sold
for $800. After the sale, the discounted price of the couch was marked up by
15%. What was the price of the couch after the markup? Round to the nearest
cent.

Answers

Answer:

t think the answer is 1040.

Find the domain and range of the function y = √x-3 + 6

Answers

Answer:

Domain: [tex][3,\infty)[/tex]

Range: [tex][6,\infty)[/tex]

Step-by-step explanation:

I assume you mean [tex]y=\sqrt{x-3} +6[/tex]?

Take note of how x cannot be less than 3 because it would result in a negative number under the radical, which isn't real. However, x CAN be 3 because [tex]\sqrt{3-3}+6=\sqrt{0}+6=0+6=6[/tex] which is real.

Therefore, the domain of the function is [tex][3,\infty)[/tex]

As for the range of the function, we saw previously that the minimum of the domain resulted in the minimum of the range, which was 6.

Therefore, the range of the function is [tex][6,\infty)[/tex]

See attached graph below for a visual.

The net of a solid figure is shown below:
Which calculation will give the total surface area of the solid figure? (1 point)

1) 5.6.6 square inches
2) 6.5.5 square inches
3) 6.5.5.5 square inches
4) 5.6.6.6 square inches

Answers

Answer:  6*5*5   (choice B)

===========================================================

Explanation:

Each square has a side length of 5 inches, so each square has area 5*5 = 25 square inches. We have 6 such squares to give a total surface area of 6*25 = 150 square inches.

Effectively, this is the same as using the formula below

S = 6x^2

S = 6*5^2

S = 6*5*5

S = 150

x = 5 refers to the side length and S is the surface area. It might help to cut the figure from the paper, and fold it up and you should find that a 3D box will form. There are 6 faces with area of 5*5 each, hence the 6*5*5

Paul signs up for a new cell phone plan. He is offered a discount for the first five months. After this period, his rate increases by $8.50 per month. His total cost at the end of the year is $245.50. Paul wrote the following equation to represent his plan. 5x + 7(x + 8.50) = 245.50

Answers

Answer:

The first 5 months Paul paid $ 15.50, and in the next 7 months he paid $ 24.

Step-by-step explanation:

Since Paul signs up for a new cell phone plan, and he is offered a discount for the first five months, and after this period, his rate increases by $ 8.50 per month, and his total cost at the end of the year is $ 245.50, and Paul wrote the following equation to represent his plan: 5x + 7 (x + 8.50) = 245.50; To determine the value of X, the following calculation must be performed:

5X + 7 x (X + 8.50) = 245.50

5X + 7X + 59.50 = 245.50

12X + 59.50 = 245.50

12X = 245.50 - 59.50

12X = 186

X = 186/12

X = 15.50

Therefore, the first 5 months Paul paid $ 15.50, and in the next 7 months he paid $ 24.


Additional Activities
Directions: Use a non-standard unit of the same material and
size. Which unit will give the greater number for the volume of the
container using ping-pong balls and monggo seeds? Visualize the
volume of each box, explain your answer. Write your answers on a
sheet of paper
.
2.
1.
Ping-Pong balls
Monggo seeds​

Answers

Answer:Ping Pong Balls

Step-by-step explanation:

Assume that when adults with smartphones are randomly​ selected, 54​% use them in meetings or classes. If 5 adult smartphone users are randomly​ selected, find the probability that exactly 3 of them use their smartphones in meetings or classes.

Answers

Answer:

Es el 60%

Step-by-step explanation:

Help please I asp !!!

Answers

Answer:

Step-by-step explanation:

1

I’ll mark brainliest

Answers

Answer:

A.) y = -7/4x - 7

Step-by-step explanation:

The line's slope is -7/4 and its y-intercept is located at the point (0, -7).

You can use a graph app or website where you can type in the equation then it will draw it for you.

5th grade math. correct answer will be marked brainliest

Answers

Answer:

I put 6/9 even though i know its wrong

Step-by-step explanation:

Sherri chose 1 marble at a time from a bag of 50 marbles, recorded its color, and returned it to the bag. She repeated this experiment 20 times.

how many blue marbles are in the bag?
Select one:

6

30

15

20

Answers

Answer:

20 is it's right answer I think ok

What is the measure of an inscribed angle that subtends the same arc as a central angle whose measure is 32 degrees?

Answers

18 i think but im not so sure

slove the system of linear equations by graphing.
-x+y=3
x+y= -3​

Answers

Answer: it is a linear line

Step-by-step explanation:

They both together make 0

write an equation of the line with slope -2 and passing through (3,1) in slope-intercept form

Answers

Answer:

y=-2x+7

Step-by-step explanation:

Hi there!

The form of slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

We are given the slope (-2) and a point (3,1)

We can immediately substitute -2 as the slope in the equation

y=-2x+b

Now we need to find b

Because the line will pass through the point (3,1), we can use it to solve for b

Substitute 3 as x and 1 as y

1=-2(3)+b

multiply

1=-6+b

add 6 to both sides to isolate b

7=b

Substitute 7 as b into the equation

The line is y=-2x+7

Hope this helps!

Which mathematical sentence most Accurately expresses the information in the problem below?

See Picture....

Answers

Answer:

Don't quote me on this but it's probably C. 12c ≥ 88

Step-by-step explanation:

This is because he packages 88 eggs into cartons of 12.

88/12 is 7.33333... so it makes sense to have a greater or equal amount of eggs. If you multiply 7.333333... by 12, each additional 3 gets you closer to 88 so again, makes sense to have more.

Find the slope of a line perpendicular to the line 3x – 2y = 5.​

Answers

Answer:

2/3

Step-by-step explanation:

to the the slope of the perpendicular line we must first find the slope of line given in the problem. To do this we must transform this equation into the slope intercept format

The slope intercept form of a liner equation is:

Y = mx + b

Where m is slope and b is the y - intercept value.

solving the equation in the problem for y produces :

3x - 3x + 2y = -3x - 5

0 + 2y = 3x - 5

2y = - 3x - 5

2y = -3x - 5

2 2

y = - 3 x - 5

2. 2

Therefore the slope of this line is m = - 3

2

the slope of perpendicular line is the negative inverse of the slope of the line we are given,or

- 1

m

so for our problem the slope of a perpendicular line is - - 2 = 2

3. 3

The slope of this equation is 3/2 once you rearrange it into slope intercept form: y=3/2x-5/2

The slope of a line perpendicular to this equation is just opposite sign-reciprocal of the Original slope: 3/2

Change the sign to -3/2 and flip it to get -2/3

The answer is -2/3 is the slope of a line perpendicular to the equation 3x - 2y = 5

Hope this helps.

Find the slope of the line that passes through these two points. (0, -2): (5. 3)​

Answers

Answer:

[tex]\displaystyle m = 1[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

Point (0, -2)

Point (5, 3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]:                                                              [tex]\displaystyle m = \frac{3--2}{5-0}[/tex][Fraction] Subtract:                                                                                           [tex]\displaystyle m = \frac{5}{5}[/tex][Fraction] Divide:                                                                                               [tex]\displaystyle m = 1[/tex]

What is the product of the polynomials below?
(4x2 - 2x - 4)(2x + 4)
A. 8x? +12x-16-16
B. Bx+12x? - 16X-8
C. 8x +12x2 - 8x-16
O D. Bx° +12x2 - 8x-8

Answers

The answer is letter C

The coordinates of parallelogram UVWZ are U(a, 0), W(c − a, b), and Z(c, 0). Find the coordinates of V without using any new variables.


(a, b)


(b, 0)


(c, b)


(0, b)

Answers

Answer:

C

Step-by-step explanation:

Your welcome! :) Good luck!

HELP ME PLEASEEEEEEEEEEEEEEEEE

Answers

The answer is just x

Answer:

x

Step-by-step explanation:

f([tex]f^{-1}[/tex](x))

Lets work the brackets first!

[tex]f^{-1}[/tex](x)

To solve we are going to find the inverse of the function.

[tex]f^{-1}[/tex](x)

f ⇔ y

∴ y = x

Interchange x and y

x = y

Solve for y

y = x

∴ [tex]f^{-1}[/tex](x) = x

Now let's solve the rest of the equation.

f(x) = x

∴ f([tex]f^{-1}[/tex](x)) = x

If x = 3k + 2 and y = k - 2 is a solution of linear equation 5x - 3y = 4 , then the value of k
pls can say the answer fast

Answers

Replace the given value of x and y in this given equation ~ 5x-3y=4

5(3k+2)-3(k-2)=4

15k+10-3k+6=4

12k+16=4

12k=4-16

K=-12/12

K= -1

Based on data from the U.S. Census Bureau, a Pew Research study showed that the percentage of employed individuals ages 25-29 who are college educated is at an all-time high. The study showed that the percentage of employed individuals aged 25-29 with at least a bachelor's degree in 2016 was 40%. In the year 2000, this percentage was 32%, in 1985 it was 25%, and in 1964 it was only 16%.+
What is the population being studied in each of the four years?
a. college educated individuals
b. college educated individuals aged 25-29
c. individuals aged 25-29
d. employed individuals aged 25-29
e. employed individuals

Answers

Answer:

d. employed individuals aged 25-29

Step-by-step explanation:

"Population" in a research study is the comprehensive group that the experimenter or the researcher is interested in.

It is given that US Census Bureau, showed that percentage of the employed individual who are of age group 25 years to 29 years are college educated and is at all time high.

The research study focuses on the specific age group of individuals those who graduated form college or at least have a bachelor degree.

Thus the population of the research study those who studied in each of the four years are the employed individuals aged from 25-29.

Please help !!!!!!!!!!!!!!!!!

Answers

for you but try the first 1 or the third

Find a function whose graph is a parabola with vertex (1, −2) and that passes through the point (5, 14)

Answers

Answer:

[tex]f(x)=(x-1)^2-2[/tex]

Step-by-step explanation:

Equation of a parabola:

[tex]y=a(x-h)^2+k[/tex]

The vertex is given as [tex](h,k)[/tex] -> [tex](1, -2)[/tex]

Plug in both the given point and vertex to find the value of [tex]a[/tex]:

[tex]y=a(x-h)^2+k[/tex]

[tex]y=a(x-1)^2-2[/tex]

[tex]14=a(5-1)^2-2[/tex]

[tex]14=a(4)^2-2[/tex]

[tex]14=16a-2[/tex]

[tex]16=16a[/tex]

[tex]1=a[/tex]

[tex]a=1[/tex]

Therefore, the final function is [tex]f(x)=(x-1)^2-2[/tex]

See attached graph below for a visual of the function.

These box plots show daily low temperatures for a sample of days in two
different towns.
Town A
10 15 20
30
55
HI
Town B
5
20
30
40
55
H
0 5
10
15
20
45
50
55 60
25 30 35 40
Degrees (F)
Which statement is the most appropriate comparison of the centers?
O A. The median for town A, 30°, is less than the median for town B,
40°
B. The mean for town A, 20°, is less than the mean for town B, 30°
C. The median for town A, 20°, is less than the median for town B,
30°
O D. The median temperature for both towns is 30°.

Answers

Answer:

The answer is:

C. The median for town A, 20°, is less than the median for town B, 30°.

Step-by-step explanation:

Median is the middle (center) value.

Option (C) the median for town A, 20°, is less than the median for town B, 30°.

What is box plot?

Box plot is a type of chart often used in explanatory data analysis. A graphical rendition of statistical data based on the minimum, first quartile, median, third quartile, and maximum.

For the given situation,

The diagram shows the box plot of the daily low temperatures for a sample of days in two different towns.

From the box plot, the median of town A is 20° and the median of town B is 30°.

From the data,

⇒ [tex]20 < 30[/tex]

Hence we can conclude that option (C) the median for town A, 20°, is less than the median for town B, 30°.

Learn more about box plot here

https://brainly.com/question/12591498

#SPJ2

evaluate the following trigonometric expression

Answers

Answer:

-60

hope it helps

Help me out plssss thank u

Answers

x = 44°

Step-by-step explanation:

Since AB is a diameter,

arcAC + arcCB = 180

92° + arcCB = 180

or

arcCB = 88°

ArcCB is the intercepted arc and by definition, the inscribed angle x is half the measure of the intercepted arc. Therefore,

x = (1/2)arcCB

= 44°

PLZZZZZZZZZZZZZZZ HELP ME WITH THIS!!!


Elena and Diego each wrote an equation to represent the following diagrams. Decide which equation you agree with. And, you must provide your explanations in order to receive the points. You need to solve the equation you agree with. Finally, you need to describe, in words, the process you would use to find the missing values. You can assume that angles that look like right angles are indeed right angles.

1. Elean: w+148=180 , Diego: x+90=148.

We know that angle BKC=148 degrees.



I agree with : ( Elena / Diego /Both of them) .




Because:









Describe, in words, the process you would use to find the missing values:

Answers

Answer:

I agree with Elena. See explanation below.

Step-by-step explanation:

A right angle is equal to 90 degrees.

A straight line is equal to 180 degrees.

Elena: w + 148 = 180

Elena's equation is correct because 148 degrees is represented by variable k. When adding variable k and w together, they form a straight line which is equiavlent to 180 degrees. By using this equation, Elena can solve for w after isolating the variable:

w + 148 = 180

w + 148 - 148 = 180 - 148

w = 32 degrees

Diego: x + 90 = 148

Diego is incorrect. He added 90 degrees because of the right angle, but he failed to realize that x is within 90 degrees, meaning he would either have to subtract x from 90 degrees or add both x and w to get to 90 degrees. He cannot solve for x or w by using this equation.

To solve for x, add both w and x to get 90 degrees. Since Elena showed us w equals 32 degrees, we can set up an equation:

w + x = 90

32 + x = 90

32 - 32 + x = 90 - 32

x = 58 degrees

4 is a common factor of 28 and 32.
O A. True
O B. False

Answers

Answer:

True

Step-by-step explanation:

Answer:

Your answer is B

Step-by-step explanation:

What type of triangle has a circumcenter on the exterior of the triangle?

Answers

Answer:

acute triangle

if i m wrong please dont mind and

correct me

Other Questions
why are legacies important? What nuclear reaction is shown in the equation below What is the value of this number in decimal form?Five and three hundred eight thousandths. The sum of a number and two times a smaller number is 62. Three times the bigger number exceeds the smaller number by 116. What are the numbers? Please help with these 2 problems, fill in the blank Smising, pharming and phishing are three security threats that can occur when using the internetfor shopping. When the user types in a URL they are directed to a fake website. * A ) Phishing B ) Pharming c ) Smishing How did the Aryans influence Indian civilization? All forms of energy can exist as either ________ or ________ energy. Pls help me so I dont get left back. Find the square root HELP PLEASE I WILL MARK BRAINLIEST How did Hawaii become one of the most ethnically diverse states in the nation?Workers were brought to Hawaii from all over the world to harvest sugar cane.Enslaved people from the Caribbean and other places went there to escape slavery.Sugar planters fled to Hawaii from other parts of the world when slave rebellions broke out.Hawaii was part of trade routes in the 1700s that brought enslaved people to the Americas. Read the prompt and then write your response, using the guidelines:Your pen-pal from Puebla, Mexico, sent you an email that describes what she does before school. She has asked you to write back and explain how you get ready for school. Write your response in Spanish and use complete sentences. You may copy and paste the accented and special characters from this list if needed: , , , , , , , , , , , , , , Remember to only use the vocabulary words from this lesson and correct spelling, punctuation, and capitalization. Include all the requirements from below: :the verb serthe verb estarone possessive adjectiveone regular adjectiveone vocabulary phrase that has a reflexive verb***Can someone write in spanish for me following the requirements above this sentence below ***"Hi friend, in the mornings when I am getting ready for school I follow a routine. I wash my face first. Then, I brush my teeth and my hair. I put on some makeup and then finally get dressed for the day." On a city street you should be looking ahead as far ahead as the car in front of you. Which is NOT a benefit of keeping the Chesapeake Bay clean?1. Fewer Estuaries2. Climate Stability3. Aesthetic Value What brought about the civil war inNigeria? Evaluate the expression. 202 + 6(9 + 3) = What is postharvest handling? The points (6, 9) and (8, 11) fall on a particular line. What is its equation in slope-intercept form? This is a rhombus. Solve for x, Then label each angle with its correct measures: