Which statements verify that the solution set to |x + 3| < 5 is –8 < x < 2? Check all that apply. Substituting a value into the inequality from the solution set, such as –2, will create a true statement. Substituting a value into the inequality from the solution set, such as 1, will create a false statement. Substituting a value into the inequality not from the solution set, such as 4, will create a true statement. Substituting a value into the inequality not from the solution set, such as 6, will create a false statement. Substituting any value into the inequality will create a true statement.

Answers

Answer 1

Answer:

First and fourth statements are correct

Step-by-step explanation:

The function is [tex]|x+3|<5[/tex] where the domain is [tex]-8<x<2[/tex]

[tex]|-2+3|=1<5[/tex]

The first statement is correct.

[tex]|1+3|=4<5[/tex]

Substituting a value into the inequality from the solution set, such as 1, will create a false statement. This is wrong as it creates a true statement.

[tex]|4+3|=7\nless 5[/tex]

Substituting a value into the inequality not from the solution set, such as 4, will create a true statement. This is wrong as a value which is not from the solution set will create a false statement.

[tex]|6+3|=9\nless 5[/tex]

Substituting a value into the inequality not from the solution set, such as 6, will create a false statement. This is correct.

[tex]|10+3|=13\nless 5[/tex]

Substituting any value into the inequality will create a true statement. This is wrong as the value of x must be in the solution set.

Answer 2

Answer:

1.) Substituting a value into the inequality from the solution set, such as –2, will create a true statement.

4.) Substituting a value into the inequality not from the solution set, such as 6, will create a false statement.


Related Questions

Solve the system of equations 6x + 3y = 9 and -5x – 5y = 0 by combining the
equations.

Answers

Answer:

(X, y) =(3,-3)

Step-by-step explanation:

Use second equation

Apply to the first

graph the following equation using the slope intercept method
3x+5y=-15​

Answers

Answer:

Step-by-step explanation:

PLEASE HELP WILL MARK BRAINLIEST Question 8
Which pair of equations show below would have infinite solutions?
Answer
A Y = -2 + 8
y = 4x - 7
B y = x - 4
y = 3x - 2
C) x
x – 3y = -3
x – 3y = 6
D 3x +y = 3
6x + 2y = 6

Answers

Answer:

Step-by-step explanation:

a)y=-2x+8

y=4x-7

solution

b)y=x-4

y=3x-2

solution

c)x – 3y = -3

x – 3y = 6

no solution

d)3x +y = 3

6x + 2y = 6

infinite.

Answer: D

Step-by-step explanation:

Can anyone help me ill give brainliest

Answers

Answer:

Answer the first choice.

Step-by-step explanation:

Given

Points (-2,6) and (0,2)

y2 = 6

y1 = 2

x2 = - 2

x1 =0

m = (y2 - y1)/(x2 -x1)

Solution

m = (6 - 2)/(-2 - 0)

m = 4 / - 2                 <<<< ===== Answer..

m = - 2

Remark

If you know what the formula to use is, it always helps to write down your givens. The solution is much easier.

Please answer ASAP!!!

Answers

first you need to convert them all into percentages...

dolphin - 43.3%
lion - 56.3%
rabbit - 47.5%
squirrel - 62 %
tiger - 65.8%

1. dolphin, rabbit, lion, squirrel, tiger
2. average person sleeps 8 hours a day which equals 33.3% ( 8/24 )
3. you, dolphin, rabbit, lion, squirrel, tiger

You and your friend join a new gym that requires a one-time joining fee and monthly payments. Your friend chooses the 1 year plan and pays $687, while you elect the 18 month contract which costs $981. Use this information to determine the linear model used to calculate cost from months of membership.

Answers

Answer:

C = 99 + 49m

x = $99

y = $49

Step-by-step explanation:

Let

x = one time joining fee

y = monthly payment

Your friend:

1 year = 12 months

x + 12y = $687

You:

x + 18y = $981

x + 12y = 687 (1)

x + 18y = 981 (2)

Subtract (1) from (2)

18y - 12y = 981 - 687

6y = 294

Divide both sides by 6

y = 294 /6

= 49

x = $49

Substitute y = 49 into

x + 12y = 687

x + 12(49) = 687

x + 588 = 687

x = 687 - 588

= 99

x = $99

C = 99 + 49m

Where,

C = total charges

m = number of months

99 = a one time joining fee

49 = charges per month

x^2-5x=14

I am supposed to get 14, but I don’t know how to get there. Also, how would check it on a calculator?

Answers

Answer:

x=-2

Step-by-step explanation:

just plug in random numbers until you get your answer, it works for me

do you like my drawings

Answers

Answer:

They won't load for me

Step-by-step explanation:

Answer:

Dangggg the best I have seen

Step-by-step explanation:

but this is better

Max has a drawer full of green and red socks. He has three times times as many red socks subtracted from four times as many green socks which he believes is 50 socks. Half the number of green socks plus one-third of the number of red socks is 36. How many of each colour does he have?

Answers

Answer:

There are 42 red colour socks and 44 green color socks

Step-by-step explanation:

Let there are r red socks and g green socks.

ATQ,

He has three times times as many red socks subtracted from four times as many green socks which he believes is 50 socks.

4g-3r=50 ....(1)

Half the number of green socks plus one-third of the number of red socks is 36.

[tex]\dfrac{g}{2}+\dfrac{r}{3}=36\\\\3g+2r=216\ .....(2)[/tex]

Multiply equation (1) by 2 and equation (2) by 3.

8g-6r = 100 ....(3)

9g +6r = 648 ....(4)

Add equation (3) and (4)

8g-6r + 9g +6r = 100+648

17g = 748

g = 44

Put the value of g in equation (1).

4(44)-3r=50

176-3r = 50

176-50 = 3r

r = 42

Hence, there are 42 red colour socks and 44 green color socks.

If DF=61 and EF=18, find DE. ​

Answers

Your answer would be 43 you can just subtract it

*4. On Saturday, a minor league baseball team gave away baseball cards to each person entering the stadium. One group received 28 baseball cards. A second group received 68 baseball cards. If each person entering the stadium received the same number of cards, what was the greatest number of baseball cards that each person could have received?

Answers

9514 1404 393

Answer:

  4

Step-by-step explanation:

The greatest common factor of 28 and 68 is 4.

  28 = 4×7

  68 = 4×17

Each person could have received 4 baseball cards.

Can someone pls help me w this paper. PLEASEEEEE

Answers

Answer:

22 for num 5

Step-by-step explanation:

As an estimation we are told £3 is €4. Convert €40 to pounds

Answers

Answer:

£30

Step-by-step explanation:

The ratio is 3:4. x:40=3:4 multiplied by 10, 30:40.

There are 30 pounds in 40 euros, therefore, €40 = £30.

What is a Ratio?

A ratio indicates the number of times one number contains another.

Given that, £3 is €4, therefore,

€4 = £3

€1 = £(3/4)

€40 = £(3/4)×40

€40 = £30

Hence, 40 euros is equal to 30 pounds, €40 = £30.

To learn more about ratios, click here:

https://brainly.com/question/13419413

#SPJ2

Rita ran for class president. She received 90 votes in the election. These votes represent 60% of the total number of students in her class. How many students are in her class?

Answers

Answer:

54 students

Step-by-step explanation:

90× 60% = 54

Judging by the way the question is weirdly wrote, im pretty sure all you’re doing is 60% of 90, which is 54 students in here class.

HELP ME!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The correct option is A

Step-by-step explanation:

Since (1, 3) are the solutions to the function g(x), then

g(x) = (x – 1)(x – 3) = x² –3x – x + 3 = x² – 4x + 3

We know that f(x) is on the same plane and f(1) = 1.

Let's take g(1) = (1 – 1)(1 – 3) = 0

Therefore, when x = 1; f = 1 and g = 0. Hence

g(1) = f(1) – 1

In order words, g(x) could be f(x) – 1.

The correct option is A

(i will give brainliest for the first answer)
Triangle XYZ has vertices X(-3, -2), Y(-1, 0),
and Z(1, -6). Find the vertices of triangle
X’′Y’′Z′’ after a reflection over the x-axis.

Answers

Answer:  X"  ( -3,2)    Y" (-1,0)   Z" (1,6)

Step-by-step explanation:

What slope passes through the points (-1,5) and (3,-7) ?

Answers

Answer: -3


Solution: -7-5 / 3-(-1)
-12 / 4
m= -3



The equation y = 5x represents the amount of miles Fran runs in x days.
When a graph of this situation is drawn, what does the point (1, 5) on the graph represent?
A. The number of miles Fran runs each day.
B. The number of miles Fran runs on the first day.
C. The total number of miles Fran runs in five days.
D. The total number of miles Fran runs on the fifth day.

Answers

Answer:

b

Step-by-step explanation:

match the expression to it simplified form

Answers

Answer:

I'd love to help but it seems you have not added an attachment or maybe the rest of the question..

Step-by-step explanation:

Which function has only one x-intercept at (-6, 0)?
O fx) =x(x -6)
O fx) = (x-6)(x -6)
O f() = (x+ 6)(x - 6)
O f)= (x+ 6)(x + 6)
Please help

Answers

Answer: O f)= (x+ 6)(x + 6)

Hope this helps :)

The correct answer is D

What is the surface area of the cylinder with height 4m and radius 2m? Round your answer to the nearest thousandth.

Answers

Answer:

50.265m^3

Step-by-step explanation:

because the formula for solving this problem is πr^2•height and then to finish solving it would have to be put into cubed as it's 3d

Pwease help its just easy math

Answers

Answer:

its divided into sixths

The person, who is 5 feet tall, wants to calculate the height of the flagpole. Use proportions to solve the problem. Show your work.​

Answers

Answer:

15 ft

Step-by-step explanation:

using geometry, we can find that the triangles are proportional, so if 8:24::5:15. 24/8=3, so do 5×3

AD = DB and AE = EC
m AED = 32
EF = 6
m ECF = ?

Answers

First of all pay attention to triangle DEF. m DEF=90 m AED=32 so m FEC= 180-(90+32)=58. Then if m FEC is 58 the m ECF=90-58=32

Choose the best answer for the missing number.

Answers

Answer:

1/100

Step-by-step explanation:

This is just digits...

57.237 = 50+7+0.2+3*___+0.007

well if you take a closer look

57.237 = 57.207 + 3*___

0.03 = 3*___

So you must have 0.01 for that spot, or if we follow the format of the question, you rewrite it as 1/100

Answer:

0.01 or 1/100

my question is y = 4x + 1 and my options are
a. 4, 3
b. 4,1
c. 1,4
d. 3,1​

Answers

Answer:

B. 4,1

Step-by-step explanation:

The answer to your question is B. It is 4,1. I hope this helps

Write the expression in simpliest form WILL GIVE GIVE BRAINLIEST
5 ( x - 1)

Answers

Answer:

5x-5

Step-by-step explanation:

pls give brainliest

Answer:

5x − 5

Step-by-step explanation:

Multiply x by 5, which will give you 5x

Then multiple 1 by 5, you get 5.

You end up with 5x - 5

Can someone help me with this problem?

Answers

Answer: 5:6

Explanation:

The 2 polygons are similar

So 25/30 = 25.5/30.6 = 5/6 or 5:6

381 1/10 -214 43/100

Answers

Answer:

Exact Form:

16667 /100

Decimal Form:

166.67

Mixed Number Form:

166 67/100

Step-by-step explanation:

Answer:

166.67

step by step

search it up

A group of college students are going to a lake house for the weekend and plan on renting small cars and large cars to make the trip. Each small car can hold 4 people and each large car can hold 6 people. How many people could be transported to the lake house if the students rented 5 small cars and 8 large cars? How many people could be transported to the lake house if the students rented ss small cars and ll large cars?

Answers

68 people can be transported to the lake house.
Other Questions
Simplify and answer the boxes. PLEASE HELP DUE TODAY VERY IMPORTANT Order from least to greatest, (15 points) and brainy award. Please help would mean alot Ob babysits the kids next door every day after school for 1.5 hours. He earns $3.50 an hour. How much money will he earn in 6 weeks if school is in session 5 days a week the whole time? Show your work. Calculate the height of a right circular cylinder with a surface area of 300 square inches and a radius of 5 inches. a. 2.45 inches c. 8.25 inches b. 4.55 inches d. 3.65 inches Shirabi spent $208 on a sewing machine to make purses. She spends a total of $10 on thread, fabric, and accessories for each purse and plans to charge $36 for each purse. The equation represents her break-even point, when x represents the number of purses sold.208 + 10x = 36xHow many purses must she sell in order to break even? Write the word sentence as an equation.t less than 5 is 12 Proportional meansCheck ALL that apply.*sameequaldifferentother What happens when plate subducts and reaches the mantle Gabriel was given a gift card for a coffee shop. Each morning, Gabriel uses the card tobuy one cup of coffee. Each cup of coffee costs $4 and the original amount of moneyon the gift card was $20. Make a table of values and then write an equation for A, interms of x, representing the amount money remaining on the card after buying xcups of coffee.Number of Cups of Coffee Amount of Money Remaining on CardAnswer: A = what happened when the Germany started paying war loans ? You have 2/4 of a pizza and you want to share it equally between 2people. How much of the pizza does each person get? The equation x+3y=2 can be rewritten in the equivalent form y=___x+____ which revels a slope equals to ___-3,-2,-1,-2/3,-1/3,1/3,2/3,1,2,3 It is the use of a substance for non-medicinal purposes. Abuse leads to organ damage like brain damage and liver damage, addiction and troubled behavioural patterns. The cell cycle is not regulated by proteins How would you approach your most important parent/guardian if you had 3 F's on your report card? ____CaSO 4 , ____O2 +____CaS The sum of two numbers is 96 the larger number is nine less than four times the smaller number find both numbers What was one of the effects of demobilization after World War I?1-Women entered the workforce.2-There were more jobs available.3-The unemployment rate increased.4-Farmers experienced economic prosperity