Solve: -2 < x + 3 < 5

Answers

Answer 1

Answer:

The answer is

[tex] - 5 < x < 2[/tex]

Step-by-step explanation:

First you have to seperate them :

[tex] - 2 < x + 3[/tex]

[tex]x + 3 < 5[/tex]

Next you can solve it by moving all the unrelated terms to the other side :

[tex] - 2 < x + 3 \\ - 2 - 3 < x + 3 - 3 \\ - 5 < x \\ x > - 5[/tex]

[tex]x + 3 < 5 \\ x + 3 - 3 < 5 - 3 \\ x < 2[/tex]

Answer 2

Answer:

-5 < x < 2

Step-by-step explanation:

Subtract 3 from each of the three sides.

-2 < x + 3 < 5

-2 - 3 < x + 3 - 3 < 5 - 3

-5 < x < 2


Related Questions

need help pleasse!!!!!!!!!

Answers

Answer:

D

Step-by-step explanation:

Answer: the answer is i

Find the volume of this trapezoidal prism.

Answers

Answer:

V=264

Step-by-step explanation:

♡Rectangular prism= 12×5×4=240

♡Triangular prism= 5×3×4×4=24

♡240+24=264

Hopefully that helps!

and hopefully I did it right!

I tried my best!!

The volume of the trapezoidal prism comes to be 312 cubic units.

What is the volume of a prism?

The volume of a prism is the product of the base area and its height.

So, the volume of the given prism = area of trapezoidal base * height

Area of the trapezoidal base = 0.5 * (sum of parallel sides) * distance between parallel sides.

Area of the trapezoidal base =0.5 * (8+5) * 4

Area of the trapezoidal base =26 square unit

So, the volume of the given prism = 26*12 = 312 cubic units.

Hence, the volume of the trapezoidal prism comes to be 312 cubic units.

To get more about prism visit:

https://brainly.com/question/23963432

What is the slope of the line? y+3= -4(x+7)

Answers

Answer:

Slope = -8.000/2.000 = -4.000

 x-intercept = -31/4 = -7.75000

 y-intercept = -31/1 = -31.00000

Step-by-step explanation:

1: Graph of a Straight Line

2: Calculate the Y-Intercept

3: Calculate the X-Intercept

4: Calculate the Slope

5: Geometric figure: Straight Line

Answer: Slope = -8.000/2.000 = -4.000

Hope this helps.

Answer:

-4

Step-by-step explanation:

Samantha is solving the following system of equations using the method of substitution: 3x + 2y = 11 - x + y = 3 The following are Samantha's first two steps. y= x + 3 3x + 2(x+3) =11 HINT: Solve the bottom equation for x and then plug that value back into the first equation to solve for y. Arrange the steps below to match the order you used to do this.

Place each of the remaining steps in the appropriate order to finish solving the system of equations.

1 5x =5
2 (1,4)
3 y=4
4 x=1
5 3x + 2x + 6 = 11
6 5x + 6 = 11
7 y= 1 + 3

Which ordered pair is the solution to the system of linear equations displayed on the graph below?

HINT: The solution is the point where the two lines intersect. What is the x coordinate and y coordinate at that point of intersection?

A:[tex](0,-\frac{3}{2} )[/tex]
B:[tex](-\frac{3}{2},0)[/tex]
C:[tex](0,\frac{3}{2}[/tex]

Which of the following inequalities can be represented by the graph below?

HINT: Can you find the equation for the boundary line? What is its y-intercept? What is its slope? Note that the region above the line is shaded.

A:[tex]y\geq2x-2[/tex]
B:[tex]y\geq \frac{1}{2}x-2[/tex]
C:[tex]y\geq \frac{1}{2}x +2[/tex]

Answers

Answer:

According to the numbers provided, the sequence is:

5, 6, 1, 4, 7, 3, 2

Solution of the two lines intersecting in the graph is answer B

The inequality that represents the graph is that of answer A

Step-by-step explanation:

First problem:

This is the sequence to solve for "x" once the substitution was made;

[tex]3x +2\,(x+3)=11\\3x+2x+6=11\\5x+6=11\\5x=11-6\\5x=5\\x=1\\[/tex]

Now that we know x, we use its value (1) in the substitution equation in order to find "y" and complete the ordered pair:

[tex]y=x+3\\y=1+3\\y=4[/tex]

Then the solution pair (x, y) is: (1, 4)

Therefore, according to the numbers provided in the list of possible steps, the order is:

5, 6, 1, 4, 7, 3, 2

Second problem:

The solution to the system is where the two lines two lines intersect: "the point -1.5 on the x axis. Notice that -1.5 can be written in fraction form as -3/2, this is the x-coordinate of the intersection point. The y-coordinate is y-0 since the point is on the x-axis. Therefore the point is (-3/2, 0) which is given by answer B).

Third problem: The boundary line seems to go through the points: (-4, -10) and (0, -2), so we can calculate the slope via the equation:

[tex]slope=\frac{y_2-y_1}{x_2-x_1} \\slope=\frac{-2-(-10)}{0-(-4)}\\slope=\frac{8}{4}\\slope=2[/tex]

since the line's y-intercept is (0, -2), then the equation of the boundary line in slope-intercept is:

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

Since the shaded region includes the boundary line and the zone above it (with y-values larger than or equal to those point in the line), we can say that the inequality that represents this graph is:

[tex]y\geq 2x-2[/tex]

which corresponds to answer A

Answer: A

Step-by-step explanation: use the formula

Please I need help with this

Answers

Answer:

$660.60

Step-by-step explanation:

55.05x12

Annual means yearly and a year is 12 months.

Answer:

B) 24470.36

I don't know A)

sorry

√(11 - 6 √(2))
(not decimal form)

Answers

Answer:

[tex]\huge\boxed{\sqrt{11-6\sqrt2}=3-\sqrt2}[/tex]

Step-by-step explanation:

[tex]\sqrt{11-6\sqrt2}=(*)\\\\11=9+2=3^2+(\sqrt2)^2\\6\sqrt2=(2)(3)(\sqrt2)\\\\(*)=\sqrt{3^2-(2)(3)(\sqrt2)+(\sqrt2)^2}\\\\\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\=\sqrt{(3-\sqrt2)^2}\\\\\text{use}\ \sqrt{a^2}=|a|\\\\=|3-\sqrt2|=3-\sqrt2\\\\^{\text{because}\ 3>\sqrt2\to3-\sqrt2>0}[/tex]

dan got 45 out of 72 correct in his test what fraction of marks did he get wrong? give your answer in its simplest for

Answers

Answer:

3/8

Step-by-step explanation:

72-45 gives 27 which is how many marks missed 27 and 72 both go into nine which is the highest common factor. 27/9=3 72/9=8 so its 3/8

Answer:

Step-by-step explanation:

(72-45)/72 = 27/72 = 3/8

Three lines meet at a point. In a complete sentence, describe the relevant angle relationship in the diagram.
Set up and solve an equation to find the value of a

Solution:​

Answers

Answer:

Problem:

180-144=36

36/2=18

A=18

Step-by-step explanation:

The full area of half of a circle is equal to 180 degrees. To find the missing value of both A's you must take the full degrees of 180 and subtract 144 from 180. Next you have to take the remaining number and divide it by two because both of the missing value's are equivalent.

A certain forest covers an area of 2700. Suppose that each year this area decreases 6%. What will the area be in 9 years.

Answers

Answer:

1547.085966 (rounded to the nearest whole number) - 1547

Step-by-step explanation:

Use the exponential decay formula

y = a (1 - b)^x

y =2700(1 - 0.06)^9

y = 1547.085966 ~ 1547

What is the product of 7/10 x 5/6 written in simplest form

Answers

Answer:

7/12

Step-by-step explanation:

Answer:

its 21 am I right ......

The given bar graph shows the percentage of U.S. women in the labor force from 1960 through 2010. The function f left parenthesis x right parenthesis equals 3.5 square root of x plus 38 models the percentage of U.S. women in the labor force, f left parenthesis x right parenthesis , x years after 1960. Use this formula to solve the following questions.

US women in Labor ForceAccording to the model above, approximately what percentage of women will be a part of the work force in 1996? Does the given bar graph verify this result? Explain why or why not. Use complete sentences and proper labels to answer.

Answers

Answer:

59% of women will be a part of the work force in 1996

According to the bars, the percentage was in the range of 57.5 - 60.2. This verify the previous result.

Step-by-step explanation:

In the figure attached, the bar graph is shown.

f(x) = 3.5√x + 38

where f(x) models the percentage of U.S. women in the labor force x years after 1960. In 1996, x = 1996 - 1960 =  36. Replacing it into the equation:

f(36) = 3.5√36 + 38 = 59%

please help me quick

Answers

Answer: D. (-5 < 5)

Step-by-step explanation:

-5 is NOT greater than its opposite (5)

HELP ASAP!! THE DEAL IS YOU WILL BE BRAINLIEST
Which part of the algebraic expression 7a - 4 is the constant?

7 a-4
4
7 a
7

Answers

Answer:

4

Step-by-step explanation:

The constant in an algebraic expression is the term that is not changeable and does not include any variables. Therefore, the constant in the expression of 7a -4 is 4. As 4 does not have any variables nor is it changeable.

What can you tell about the mean of each
distribution?
A.The difference between the mean cost to treat dogs at No Ruff Stuff Animal
Hospital and the mean cost to treat cats at No Ruff Stuff Animal Hospital is
about 10 times the MAD. This is a small difference.
B.The difference between the mean cost to treat dogs at No Ruff Stuff Animal
Hospital and the mean cost to treat cats at No Ruff Stuff Animal Hospital is
about 20 times the MAD. This is a small difference
C.The difference between the mean cost to treat dogs at No Ruff Stuff Animal
Hospital and the mean cost to treat cats at No Ruff Stuff Animal Hospital is
about 5 times the MAD. This is a large difference
D.The difference between the mean cost to treat dogs at No Ruff Stuff Animal
Hospital and the mean cost to treat cots at No Ruff Stuff Animal Hospital is
about 10 times the MAD. This is a large difference

Answers

Answer:

C. 5 times the MAD

Step-by-step explanation:

The difference between the mean cost to treat dogs at No Ruff Stuff Animal Hospital and the mean cost to treat cats at No Ruff Stuff Animal Hospital is about 5 times the MAD. This is a large difference.

The correct option is C.

What is the mean?

In mathematics and statistics, the term "mean" refers to the average of a set of variables. There are various ways to determine the mean, including geometric means, harmonic means, and simple arithmetic means (putting the numbers together and dividing the result by the number of observations).

Given:

The mean cost to treat dogs at No Ruff Stuff Animal Hospital is $224.65.

And MAD = $20.52

The mean cost to treat cats at No Ruff Stuff Animal Hospital is $124.84.

And MAD = 19.75.

The difference between the mean cost to treat dogs at No Ruff Stuff Animal

Hospital and the mean cost to treat cats at No Ruff Stuff Animal Hospital is,

= 224.65 - 124.84.

= 99.81

= 5 x 19.75

Therefore, the difference is 5 times MAD.

To learn more about the mean;

brainly.com/question/13451489

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On a quiz there are four multiple-choice questions worth 3 points each and two true/false questions
worth 1 point each. Each multiple-choice question has five possible choices. If a student randomly
guesses on each question, what is the expected value of the student's score on the test?
a 1.8
b 5.4
c 3.4.
d 2.8

Answers

Answer:

C. 3.4

Step-by-step explanation:

We need to find expected value, which is essentially the value that we expect to get based on the amount of each "thing" at hand.

Here, we have 4 multiple-choice questions worth 3 points each and 2 true/false questions worth 1 point each. Each multiple-choice question has 5 possible answers, so the probability that you get that multiple-choice question correct is 1/5. Similarly, each true/false question has 2 possible answers, so the probability that you get that question right is 1/2.

Expected value, denoted by E(x), has the formula:

E(x) = ∑ xp(x), where x is the number of points you get per problem here and p(x) is the probability of getting the problem correct

E(x) = 4 * 3 * (1/5) + 2 * 1 * (1/2) = 12/5 + 1 = 17/5 = 3.4.

The answer is thus C.

Answer:

C. 3.4

Step-by-step explanation:

P(correct MCQ) = ⅕

P(correct T/F) = ½

4×3×⅕ + 2×1×½

2.4 + 1

3.4


HELP ME PLZ

if the radius of a circle is 17 cm, then the diameter of the circle is 34 cm. If the diameter is 34 cm, then circumference of the circle is approximately 107 cm. Determine if both statements are TRUE or FALSE.

Group of answer choices

Answers

Answer:true

Step-by-step explanation:

Because to find circumference is pie(3.14) times 34 should equal about 107 if rounded

ANSWER ASAP!!









remember to show work​

Answers

Answer:

1. 7x+5y=19    

(+)-7x-2y=-16       step one

____________

[tex]\frac{3y}{3\\}[/tex]=[tex]\frac{3}{3}[/tex]                   step two

y=1

____________

since you have the value of y u can plug it in in either of the equations.

7x+5(1)=19        step three

____________

7x+5-5=19-5     step four

____________

[tex]\frac{7x}{7}[/tex]=[tex]\frac{14}{7}[/tex]

x=2                     step five

____________

You can check whether the answers are correct by plugging them back in.

7(2)+5(1)=19

14+5=19

19 equals 19 so it checks.

You can do the same thing for the rest.

Please answer immediately!!!!!!!!
In how many ways can you make a tower using three blue blocks and two red blocks? Make a “tree” and draw a picture of the towers.

Answers

Answer:

For tree see picture but instead of BG replace all values with RRBBB and see the notes above how to roate the colours instead of the shape roation below just do transition (0,0)(1,0) (1,1).

Then 13 colours minimum change.

This will be 3 + 5 + 4 each colour change = 12 each colour change. instead of doing the 56 each colour rotation below.

Step-by-step explanation:

make 4 bits of paper and label each side -1 and 1 and central 0

above central point vertically label 1 and -1 for transition.

Then change just top one 4x = 4 more

Do the same with 2nd from top = 8 more to include top changing 4x again.

Do the same with 2nd from bottom = 12 more

Do the same with bottom = 16 more.

4+8+12+16 =40

Then repeat the process on side for blocks and we can double up

40+40 = 80.

When drawing tree clearly state columns

Top two are red only change

Top of tree will read in order so where ever you see capital R you will know its a new column for the tree and fill in when you understand the 254 transitions of a 5 column tree. Then change B + R accordingly when you get to row 6. Here you just start changing blue back to the top after row 5

Columns go down and rows go across its a new row you will need

approx 5-6 rows each colour change.

For the ones started for you below its just transition and colour stays where it is.  

R x    RT 45d   RT (1,0) 45   RT (1,1) 45  RT (1,0)

R x    R x

B x    B x

B x    B x

B x    B x

'x' = RED Normal as you keep 0 zero central on all 4 bricks and work with top row as explained below.

Top RED  brick you have to Right side place transition on every 2nd column for each colour and thenyou should find a pattern if youve numbered your papers or brcks to just see how it works. (hanging out one side call this 'off set' or call it T for transition (1.0)

RED Central 'diagonal' call it  '45 degree rotate'

E ABCD RED Normal edge transition its edge so it hangs out

E ABCD RED On edge 45 degree diagonal its edge so it hangs out

2nd only change

S ABCD 1st red normal 2nd red Right side place rotate

S ABCD 1st red right side rotate 2nd red 45 degree rotate

S ABCD 1st red right side rotate 2nd central place 45 degree rotate  

S ABCD 1st red right side rotate 2nd edge Normal edge transition

S ABCD 1st red right side rotate 2nd 45 degree its edge diagonal

2nd is repeated by changing 1st 4x more in bold. see what is now missing for 1st red. and copy the 2nd changes to 1st all whilst rotaing 2nd again in change .

Copy paste the work

Then apply this to 3 + 4 + 5th brick.

As the above shows 10 and when you finish 2nd and 1st it will be 14 total

Then 3 will be 14 again

and 4th brick will be 14 again

and 5th brick will be 14 again

making the transitions and rotations where all bricks in same level placement

14 x 4 = 56 transitions/rotations

Then repeat again for 1 blue at the top change

Then repeat again for 2 blue at the top for change

Then repeat again for 2 blue in the top middle

Then repeat again for 2 blue in the bottom middle

You can label tree

RR = Red rotation

BR = Blue rotation

RRE= Red rotation edge

BRE = Blue rotation

and colour code blue and red pens.

You can label transitions

RT = red transition (1,0)

RT = red transition (1,1) for central

and same for blue etc..

The end result will be 56 x 4 = 224 diagram tree

On ce you learn this it will take just 6 minutes to write out.

William bought 6 apples for $1.98. How much will 20 apples cost?

Answers

Answer:

If 6 apples cost $1.98 then 20 apples cost

Step-by-step explanation:

First you want to find the unit rate so divide both numbers

so the answer is 3

Answer:

$6.60

Step-by-step explanation:

6 apples=$1.98

So, 6 times 3= 18 apples

That means you also have too multiply the price by 3 and 1.98 times 3=5.94

now you have 18 of the 20 apples

for the last two, simply divide 1.98 by three which= $.66

then add $.66 to $5.94 and get $6.60

A quality control inspector rejected 253 Can openers from a batch of 19,354 what is the experimental probability that a can opener will pass inspection round your answer to the nearest hundredth

Answers

Answer:

0.01

Step-by-step explanation:

19,354/253=76.498 or 76.5 Also it makes more sense than 0.98,o.99, and 0

If someone can do both I’d appreciate it! I’ve been up for awhile trying to fingers these out.

Answers

Answer:

3. AGH= 150

4. CHF= 110

Step-by-step explanation:

3. AGH corresponds to CHF, so they equal the same. AGH = 150

4. BGE is vertical to AGH, so they equal the same AGH = 110. AGH corresponds to CHF, so they equal the same. CHF=110.

Answer:

3. 150. 4. 110

Step-by-step explanation:

This should be right.

Mark reads 15 pages in 2 days how much can he read in 1 day?

Answers

Answer:

7.5 pages

Step-by-step explanation:

We are given that Mark reads 15 pages in two days. We only need to divide 15 by 2.

15 ÷ 2 = 7.5

Mark should read 7.5 pages per day.

Mark can read 7 and half page in 1 day.

Look at the attached picture

Hope it helps...

good luck on your assignment

Select the correct answer.


What is the equation of this graph?

A.
(y + 4)^2 = -8(x − 5)

B.
(y − 5)^2 = -8(x + 4)

C.
(x + 4)^2 = -8(y − 5)

D.
(x − 5)^2 = -8(y + 4)

Answers

Answer:

D

Step-by-step explanation:

plato

The equation of this graph would be (x − 5)^2 = -8(y + 4). So option D is correct.

How to find the function which was used to make graph?

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.

If we know that the function crosses x axis at some point then for some polynomial functions, we have those as roots of the polynomial.

Hence,  the equation of this graph would be (x − 5)^2 = -8(y + 4).

So option D is correct.

Learn more about finding the graphed function here:

https://brainly.com/question/27330212

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What is an
equation of the line that passes through the points (-3,8) and (4,1)?

Answers

Answer: y= -1x + 5

Step-by-step explanation:

(-3,8) ( 4,1)

8-1= 7

-3-4 = -7

7/-7 = -1  so the slope is -1   so we will use the formula y=mx+b to find the y-intercept

8= -1(-3) + b

8= 3 + b

-3   -3

b= 5  so the y intercept is 5 now we will write the equation like this y= -1x + 5

12+3·(11−15) =
what is the answer

Answers

Answer:

0

Step-by-step explanation:

12+3×(-4)=

=12+(-12)=

=12-12=0

Answer: 0

Step-by-step explanation:

Since 11 - 15 is in parenthesis you have to do that first and 11 - 15 = -4.

The next step is to multiply 3 and -4 which would be -12

The last step is to add 12 + -12 which equals 0.

a. The farmer's market sells
apples for $2 per pound and
oranges for $1 per pound.
Marjorie has $10 to spend.
The function y = 10 2x
represents the number of
apples x and oranges y
Marjorie can purchase. Graph
the function and interpret
the points graphed.

Answers

Answer: here is an attachment of the answer, hope it helps you out


A huge frog ate 140 big bugs in 5 days. Each day, it ate 8 more bugs than it did on the previous day.
How many bugs did the frog eat on....
the first day?
the fifth day?
Can you please help

Answers

On the first day the frog ate 12 bugs

second day the frog ate 20 bugs

third day the frog ate 28 bugs

fourth day the frog ate 36 bugs

fifth day the frog ate 44 bugs

What value should go in the empty box to complete the calculation for finding the product 73.458 × 0.39?

Answers

Answer:

28.64862

Step-by-step explanation:

Answer:

28.64862

Step-by-step explanation:

That's the work in the picture

Move the decimal 5 places instead of 3

dana bought 50 raffle tickets. if 300 were sold what is the probability that dana does not win the raffle

Answers

Answer:

5/6

Step-by-step explanation:

write an expression for the product of 5 and 7 increased by 4​

Answers

Answer:

(5(7)) + 4

Step-by-step explanation:

It shows in the parentheses it is 35 + 4  = 39

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