Which number line shows the solution to the inequality –2(3x – 1) < 8? A. Number lines from minus five to five by increament of one from left to right and each tick mark is labeled. Shaded part from minus infinity to open circle at minus one B. Number lines from minus five by increament of one from left to right and each tick mark is labeled. Shaded part from open circle at minus one to infinity C. Number lines from minus five by increament of one from left to right and each tick mark is labeled. Shaded part from minus infinity to open circle at two D. Number lines from minus five to five by increament of one from left to right and each tick mark is labeled. Shaded part from open circle at two to infinity

Answers

Answer 1

Answer:

The correct option is B.

Step-by-step explanation:

The inequality is: -2(3x - 1) < 8.

Solve for x as follows:

-2(3x - 1) < 8

-6x + 2 < 8

-6x < 6

-x < 1

x > -1

The solution for x is in the interval (-1, ∞].

The number line will be:

B. Number lines from minus five by increment of one from left to right and each tick mark is labeled. Shaded part from open circle at minus one to infinity


Related Questions


Resolve the following equations
3x+4=2​

Answers

3x + 4 = 2
Take away 4 from both sides
3x = 2
Divide both sides by 3
x = 2/3
x=-2/3 because subtract four and divided by three

Can somebody please help?

Answers

Answer:

1. real number, irrational number

2. rational number, real number

Dianne drew a triangle with coordinates (1,3), (3,2) and (4,2) she drew an image of the triangle with coordinates (21,3) ,(23,2) and (24,2) how did she make the image

Answers

Answer:

i

Step-by-step explanation:

dk

338 points in 16 games. how many points did they make per game?​

Answers

21.125 (21) points in each game.
just divide 338 by 16.
-hope this helps

Which one?
A. B. C. or D? ​

Answers

The answer is to the question is c.11

A quadrilateral has coordinates of (-4,3), (-3,8). (2,5), and (1, -7).
Enter the perimeter of this quadrilateral rounded to the nearest whole unit.

Answers

Answer:

The perimeter of a quadrilateral will be equal to the addition of the length of each side of the quadrilateral.

Here we only have the vertices of the quadrilateral, and to calculate the length of the sides, first we need to plot the points in a graph and see which pairs make the quadrilateral.

You can see the image below, where i did a rough sketch of the problem.

in the image, you can see that the sides of this rectangle are the ones formed by the pairs:

(-4,3) and (-2, 8)

(-2, 8) and (2, 5)

(2,5 ) and (1, -7)

(1, - 7) and (-4, 3)

Now let's calculate the length of each side.

Remember that when we have two points (a, b) and (c, d) the distance is:

D = √( (a - c)^2 + (b - d)^2)

Now we need to calculate four distances:

(-4,3) and (-2, 8)

D1 = √( (-4  + 2)^2 + (3 - 8)^2) = 5.39

(-2, 8) and (2, 5)

D2 = √( (-2  - 2)^2 + (8 - 5)^2) = 5

(2,5 ) and (1, -7)

D3 = √( (2  - 1)^2 + (5 + 7)^2) = 12.04

(1, - 7) and (-4, 3)

D4 = √( (1  +4)^2 + (-7 -3)^2) = 11.18

Now we add those four distances to get the perimeter:

P =  5.39 + 5 + 12.04 +  11.18 = 33.61

And we want to round it to the next whole number, because the first digit after the decimal point is larger than 5, we round up, and get:

p = 37

PLEASE HELP, MARKING BRAINLIEST!!!!

These triangles are congruent by _____.

A. SAS
B. ASA
C. AAS
D. SSS

Answers

Answer:

ASA Postulate

Step-by-step explanation:

It's Angle-Side-Angle Postulate because you can see two clearly congruent angles, two clearly congruent sides attached to that angle, and the angle connected to that line is congruent to the other triangles corresponding angle because they're vertical angles.

Answer:

B. ASA

Step-by-step explanation:

We know that the angles in which the triangles are connected are equal to one another because the lines continue and do not bend so that is your first angle, then we see a red line on both triangles indicating that the sides are equal. That is your side, and finally there is a red curve in both corners of the triangle indicating the angles are equal. Therefore the triangle is congruent by ASA.

please help find the slope!!

Answers

Answer:

undefined

Step-by-step explanation:

I don't know if it's correct or not. But hope it is

Answer:

-7

Step-by-step explanation:

The slope is y/x and y in this case equals -7 while x is +1 so it's -7/1 or just -7

The deductions from Jennifer monthly pay are federal income tax (FIT) of $87, state income tax (SIT) of 2.5% of gross pay, city income tax (CIT) of 1.2% of gross, social security, and Medicare. Her monthly net pay is $3,982.22. Find Jennifer's monthly gross pay

Answers

Answer:

$4,225.6

Step-by-step explanation:

Jenifer had the following deductions from her monthly pay

Federal income tax of $87

State income tax of 2.5% of gross pay

City income tax of 1.2% of gross pay

Jennifer monthly pay is $3,982.22

Therefore jenifer monthly gross pay can be calculated as follows

Let x represent the gross pay

x = 3982.22 + 87 + 1.2/100x + 2.5/100x

x = 3982.22 + 87 + 0.012x + 0.025x

x =4069.22 + 0.037x

Collect the like terms

x - 0.037x = 4069.22

0.963x = 4069.22

Divide both sides by the coefficient of x

x = 4069.22/0.963

x = 4,225.6

Hence Jennifer monthly gross pay is $4,225.6

Write the sentence as an inequality. A number x is less than 7 and greater than 3

Answers

X LS 7 GT 3
Um or
X LS 7+3

The inequality as per the given statement will be equal to 3 < x < 7.

What is inequality?

Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare the two values. Less than (or less than and equal to), larger than (or greater or equal to), or not similar to signs are used in place of the equal sign in between.

As per the information in the question,

Let the number is x.

x is less than 7.

x < 7 and,

x is greater than 3,

So, x > 3

So, it can be written in combined form as:

3 < x < 7

To know more about Inequality:

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-1+10x^3+x^2
−1+10x
3
+x
2

Answers

Answer:

=20x3+2x2−2

Step-by-step explanation:

Let's simplify step-by-step.

−1+10x3+x2−1+10x3+x2

=−1+10x3+x2+−1+10x3+x2

Combine Like Terms:

=−1+10x3+x2+−1+10x3+x2

=(10x3+10x3)+(x2+x2)+(−1+−1)

=20x3+2x2+−2


The football team scored 128 total points last season. This year they scored 144 total points. What is the percent of change?

Answers

Answer:

88%.

Step-by-step explanation:

Answer:

12.5% increase

Step-by-step explanation:

Take the difference in points

144-128 = 16

And divide by the original number of points

16/128 =.125

Change to percent form

12.5%

Since the points went up it is an increase

12.5% increase

I have 4 and 11/12 . how much do i need to add to get 6 and 1/2

Answers

Answer:

= 1 7/12

Step-by-step explanation:

6 1/2 - 4 11/12 =

6 6/12 - 4 11/12 =

5 18/12 - 4 11/12 =

=1 7/12

To check if the answer is right or wrong, you can add 1 7/12 to 4 11/12

4 11/12 + 1 7/12 = 5 18/12 = 6 6/12 = 6 1/2

Hope this helps and pls do mark me brainliest if you can:)

After completing the fraction division 8 divided by StartFraction 1 Over 6 EndFraction, Patel used the multiplication below to check his work. StartFraction 1 Over 48 EndFraction times 6 = StartFraction 1 Over 48 EndFraction times StartFraction 6 Over 1 EndFraction = StartFraction 6 Over 48 EndFraction = StartFraction 1 Over 8 EndFraction Which is the most accurate description of Patel's work? Patel found the correct quotient and checked his work using multiplication correctly. Patel found the correct quotient but checked his work using multiplication incorrectly. Patel found an incorrect quotient but checked his work using multiplication correctly. Patel found an incorrect quotient and checked his work using multiplication incorrectly.

Answers

Answer:

Patel found an incorrect quotient and checked his work using multiplication incorrectly.

Step-by-step explanation:

After completing the fraction division 8 divided by StartFraction 1 Over 6 EndFraction, Patel used the multiplication below to check his work.

Correct calculation

8 ÷ 1/6

= 8 × 6/1

= 48

Check:

1/6 * 48

= 48 / 6

= 8

Patel's calculation

1/48 * 6

= 1/48 * 6/1

= 6/48

= 1/8

Patel found an incorrect quotient and checked his work using multiplication incorrectly.

Answer:

D on edge

Step-by-step explanation:

have a great day :)

hope this helps :)


2. What is the equation in slope-intercept form of the line that passes through the given points in
the table?
x
2
3
y
-1
-4

Answers

Answer:

3y= -1 + 2x -4

Step-by-step explanation:

cause.... COOCHIEMAN


Jenny is tracking the monthly sales totals for her boutique. The given piecewise function represents the boutique's monthly sales, in dollars,
where x represents the number of months since Jenny began tracking the data.
0 < I<3
f(0) =
100.5 + 5,024
3 -12 + 53 +5,630, 6 (4,000(1.1)",
What were the boutique's monthly sales when Jenny first began tracking the data?
A
$4,000
В.
$5.324
C. $5,616
D. $4,400

Answers

Answer:

It's A.

Step-by-step explanation:

I just did it on edmentum (plato)

hope this helps!!

vote brainliest if it did!

:))))

The boutique's monthly sales when Jenny first began tracking the data is 4000

What is piecewise function?

A function which is defined by multiple sub-functions, each sub-function applying to a certain interval of the main function's domain (a sub-domain).

Given:

According to given function we can say that there x represent the number of month.

So, if jenny begin tracking the data then jenny spend 0 month on working

Thus, we will use the function

f(x)= 4000*(1.1)^x

f(x)= 4000*(1.1)^0

f(x)= 4000

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OMG i dont remember to find square roots
can someone please explain why 5√ 5 is equal to √ 125

15 pts and brainliest!

Answers

Answer:

5

Step-by-step explanation:

√125 / 5= √25 since  125 / 5 =25

√25 = 5

Answer:

5x25

Step-by-step explanation:

since its 5 you multiply it by 5 and then multiply why you got to another 5

Which problem solving strategy would be best to solve this problem? Four people are in line at the movie theater. Jennifer is ahead of Jeanie. John is not first or last in line. Jarett is directly in front of Jennifer. Name the order in which the people are standing in line. A. guess, check and revise B. compute or simplify C. work backwards D. write an equation

Answers

Answer:

C. work backwards

Step-by-step explanation:

Given from the first statement of the question that that four people are in line. This is the result of the question, so the strategy required would be the work backwards.

Jennifer is ahead of Jeanie implies that Jeanie is somewhere behind Jennifer.  Since John is neither the first or the last in the line, then he must be between Jeanie and Jennifer. And Jarett is directly in front of Jennifer, so that Jarett is the first in line. The arrangement goes thus:

                   Jeanie ⇒ John ⇒ Jennifer ⇒ Jarett

Answer:

The answer is C, work backwards.

Step-by-step explanation:

I really hope this helps.

For a given recipe, 12 cups of flour are mixed with 24 cups of sugar. How many cups of sugar should be used if 21 cups of flour are used?


Assuming a constant ratio, fill out the table of equivalent ratios until you have found the value of x. PLEASE ANSWER THIS QUICK

Answers

Answer:

33 cups of sugar should be used

Step-by-step explanation:

subtract 12 from 21 then add that answer to 24 and you get 33 so 33 cups of sugar should be used

42 cups of sugar should be used if 21 cups of flour are used

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given,

For a given recipe, 12 cups of flour are mixed with 24 cups of sugar

We need to find cups of sugar should be used if 21 cups of flour are used

Let us consider x as cups  of sugar should be used if 21 cups of flour are used

Let us form an equation to find x

12/24=21/x

Apply cross multiplication

12x=21×24

12x=504

Divide both sides by 12

x=504/12

x=42

Hence, 42 cups of sugar should be used if 21 cups of flour are used

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How many solutions does the equation 4x +2(x-5)=3(2x-4) have?

Answers

Answer:

no solutions

Step-by-step explanation:

Given

4x + 2(x - 5) = 3(2x - 4) ← distribute parenthesis on both sides

4x + 2x - 10 = 6x - 12

6x - 10 = 6x - 12 ( add 10 to both sides )

6x = 6x - 2 ( subtract 6x from both sides )

0 = - 2 ← not possible

This indicates the equation has no solution

Explain why (4, 1) is not a solution to the equation y=3x+1

Please help me! I will mark brainliest!! <3

Answers

In (4, 1) 4 represents x, and 1 represents y

y = 3x + 1

1 = 3(4)+1

1 = 12 + 1

1 ≠ 13   ← sides are not equal so (4, 1) is not a solution to y=3x+1

Hiiiii.

How are you?

I like to be Friends.

Whats the answer? I will give brainliest if correct♡︎ꨄシ

Answers

Answer:

b isnt a fuction

Step-by-step explanation:

Answer:B

Step-by-step explanation:

There are two different maps of California. The scale on the first map is 1 cm to 20 km. The distance from Fresno to SanFrancisco is 15 cm.The scale on the second map is 1 cm to 100 km.What is the distance from Fresno to San Francisco on the second map? Explain your reasoning.b

Answers

Answer:

1500km

Step-by-step explanation:

1cm=100km

15•100=1500km


f (x) = -43 +7
Using the function above, evaluate f (-2).

Answers

The answer would be 15
Explanation:
If you substitute in -2 for x the equation would read, f=-4(-2)+7..... therefore you multiply and add and you would get 13

12. Bob thought of a number, added 5, multiplied
by 3 and took away 5 to give an answer of 10.
What was the starting number?

Answers

Answer:

0

Step-by-step explanation:

Say the number was x.

3(x+5)-5=10

3(x+5)=15

x+5=5

x=0

The City Zoo feeds its three giant pandas 181.5 pounds of bamboo shoots every day. Each panda is fed the same amount of bamboo. How many pounds of bamboo does each panda eat every day?

Group of answer choices

605 pounds

61.5 pounds

60.5 pounds

6.05 pounds

Answers

Answer:

60.5 pounds

Step-by-step explanation:

The total amount of pound is 181.5

And there are three pandas.

So 181.5 divide by 3 is 60.5

Bus A and Bus B leave the bus depot at 9 am. Bus A takes 30 minutes to complete its route once and bus B takes 40 minutes to complete its route once. If both buses continue to repeat their route, at what time will they be back at the bus depot together?

Answers

Answer:

11 am

Step-by-step explanation:

Bus A and Bus B leave the bus depot at 9 am.

Bus A takes 30 minutes to complete its route once

Bus B takes 40 minutes to complete its route once.

We solve this finding the Lowest Common Multiple of the minutes each bus uses to complete it's route

30 = 3 × 10

40 = 4 × 10

= 3 × 4 × 10

= 120 minutes

120 minutes after 9 am is

60 minutes = 1 hour

60 minutes = 1 hour

= 2 hours.

9am + 2 hours

= 11 am.

Therefore, they be back at the bus depot together at 11 am

what is 1/2 x2/5 =
and 3/4 x 5/9 =

Answers

Answer:

1/5

5/12

Step-by-step explanation:

Hi there !

1/2 × 2/5 = 1×2/2×5 = 2⁽²/10 = 1/5

3/4 × 5/9 = 3×5/4×9 = 15⁽³/36 = 5/12

Good luck !

Answer:

1/5

5/12

Step-by-step explanation:

These are the answers because:

1) Whenever we multiply fractions, we have to multiply the numerator with the numerator and the denominator with the denominator.

2) In this case it would be:

1/2 x 2/5 = 1 x 2/2 x 5 = 2/10 = 1/5

3/4 x 5/9 = 3 x 5/4 x 9 = 15/36 = 5/12

Hope this helps! :D

Jane's garden is 3.4 meters by 6.5 meters. If fencing costs $2.25 per meter, how much will it cost to put fence around her garden?

Answers

$44.25 .. The perimeter is 19.8, times the cost, which is 44.25

PLZ HELP ME ASAP!!!

Which of the following is equivalent to the ratio of 14 minutes to 62 minutes?

1. 1 : 3
2. 7 : 31
3. 1 : 9
4. 7 : 40

Answers

Answer:

2. 7 : 31

Step-by-step explanation:

7 * 2 = 14

31 * 2 = 62

7 : 31

14 : 62

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