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Date:
Bell: Homework 5: Multi-Step & Compound
Inequalities
** This is a 2-page documenti **
Directions: Solve, graph, and write the solution to each inequality in interval notation,
1.-7a - 11 <1-10
2. 5-9(8 - 2x) = 2x - 115
Interval Notation:
3.-2(7 + y)2 -8(y + 1)
Interval Notation:
4.-5(k+ 4) 2-(3k + 6)
Interval Notation:
Interval Notation:
3(2x + 7)
> x+1
-3
6. r + 10 S-3(2r - 3) + 6(r + 3)
5.
Interval Notation:
Interval Notation:
7.-8m - 12 > -5(m - 8) - 3(m - 7)
8. 18(9-3)=-2{q+7)
Interval Notation:
Interval Notation:
O Gina Wilson (All Things Algebra

Answer: x = -3

Step-by-step explanation:

Given

-7x - 14 = 2x + 13

Subtract 2x on both sides

-7x - 14 - 2x = 2x + 13 - 2x

-9x - 14 = 13

Add 14 on both sides

-9x - 14 + 14 = 13 + 14

-9x = 27

Divide -9 on both sides

-9x / -9 = 27 / -9

[tex]\boxed {x = -3}[/tex]

Check:

Left-hand side = -7x - 14

                        = -7 (-3) - 14

                        = 21 - 14

                        = 7

Right-hand side = 2x + 13

                           = 2 (-3) + 13

                           = -6 + 13

                           = 7

7 = 7

Hope this helps!! :)

Please let me know if you have any questions

Answer:

a).

[tex]{ \bf{first \: term}} \\ let \: n = 1 \\ n_{1} = {1}^{2} + 3(1) + 1 \\ n_{1} = 5 \\ \\ { \bf{second \: term}} \\ let \: n = 2 \\ n_{2} = {2}^{2} + 3(2) + 1 \\ n_{2} = 11 \\ \\ { \bf{third \: term}} \\ n_{3} = {3}^{2} + 3(3) + 1 \\ n_{3} = 19 \\ \\ { \bf{fourth \: term}} \\ n_{4} = {4}^{2} + 3(4) + 1 \\ n_{4} = 29[/tex]

b).

common difference, d:

[tex]d = n_{4} - n_{3} \\ d = 29 - 19 \\ d = 10\\ but \: increases \: by \: 2 \\ d = 10 + 2 = 12\\ therefore : \\ n_{5} = n_{4} + d \\ n_{5} = 29 + 12 \\ n_{5} = 41[/tex]

c).

[tex]n_{5} = {5}^{2} + 3(5) + 1 \\ n_{5} = 41[/tex]

yes it is the same

Answers: ( x - 3)( 2x + 5) equals 2x^2 − x − 15

(3x + 7)(2x - 1) equals 6x^2 + 11x − 7

Explanation: You expand the polynomial using the FOIL method.

Answer:

Step-by-step explanation:

4y + 3y + 2y

= 4y + 5y

= 9y (Ans)

Exit for free stone

Distance from midtown to free stone

The distance from Midtown to Freestone is 26mi.

The Distance is defined as the product of the speed and time.

Given data as:

Exit for Midtown = 17 mi

Exit for Roseville =  35 mi

Exit for Edgewood = 51 mi

Exit for freestone = (35+51)/2

Exit for freestone = 86/2

Exit for freestone = 43mi

Distance from Midtown to Freestone = Exit for freestone - Exit for Midtown

Distance from Midtown to Freestone = 43 - 17

Distance from Midtown to Freestone = 26mi

Hence, the distance from Midtown to Freestone is 26mi.

Learn more about distance here:

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9514 1404 393

Answer:

   see attached

Step-by-step explanation:

I find the easiest way to draw a graph is to let a graphing calculator do it. That result is shown in the attachment.

__

If you're drawing this by hand, it can be easier if it is simplified a bit.

  2(x +1) = 3(y -1) -4

  2x +2 = 3y -3 -4 . . . . . . eliminate parentheses

  2x +9 = 3y . . . . . . . . . . add 7

  y = 2/3x +3 . . . . . . . . . divide by 3

This is the equation of the line in slope-intercept form. It tells you that the point (0, 3) on the y-axis is on the line, and that it has a slope of 2/3. That means it has a rise/run of 2/3, or a rise of 2 units for each 3 units to the right.

Starting from point (0, 3), another point on the line will be 3 over and 2 up, at (3, 5). Once you have a couple of points plotted, you can draw the line through them to make your graph.

Answer:

199 pages

Step-by-step explanation:

The average number of words on the page is 300.  Because there are 59,540 words and 59540/300 = 198.46 (approximately), there are 199 pages in the book (because the 0.46 pages would be the last page).

Answer:

361

Step-by-step explanation:

[tex]3 \times {11}^{2} - 2 = 361[/tex]

Answer:

361

Step-by-step explanation:

3(7+4)^2-14÷7

PEMDAS says parentheses first

3(11)^2-14÷7

Then exponents

3(121)-14÷7

Then multiply from left to right

363 -14÷7

363 -2

Subtract

361

Answer:

0.0520833333 is the "techical answer" but the real answer is B

Step-by-step explanation:

if you do the math -5 x 4 / 8 x -3 = -20/24

Hope this helps :)

Step-by-step explanation:

It could be

V= L×B×H

Hope it helps

Answer:

ringtone

Step-by-step explanation:

phone ringtone

Answer:

x = -5

Step-by-step explanation:

4 – 2(x + 7) = 3(x + 5)

Distribute

4 - 2x-14 = 3x+15

Combine like terms

-2x-10 = 3x+15

Add 2x to each side

-2x-10 +2x= 3x+15+2x

-10 = 5x+15

Subtract 15 from each side

-10-15 = 5x+15-15

-25 = 5x

Divide by 5

-25/5 = 5x/5

-5 =x

Answer:

x = -5

Step-by-step explanation:

4 - 2(x + 7) = 3(x + 5)

so, let's do the multiplications. remember, when two terms are multiplied, then everything of the left is multiplied with everything on the right. and a "-" flips signs.

2(x + 7) = 2x + 14

3(x + 5) = 3x + 15

so, in total

4 - 2x - 14 = 3x + 15

now, we add combinable things together, and we can also move things from one side of the equation to the other (by adding our subtracting the same thing on both sides, so that the value of the expression remains unchanged).

-2x - 10 = 3x + 15

-25 = 5x

and now, what applied to adding and subtracting also aims to multiplication and division. again, it is important to do the same thing to both sides.

-5 = x

Answer:

M=8

Step-by-step explanation:

6x8=48

40+8x1=48

Answer:

-5

Step-by-step explanation:

-5 is the coefficient in the term -5y

The number which is multiplied with the variable is called the coefficient of the variable

Answer:

-5

Step-by-step explanation:

The coefficient is the number next to the variable. In this case, the coefficient is -5.

3x = 18

Divide both sides by 3 and simplify

x=6

Answer:

Step-by-step explanation:

assuming  that you need to find the value of x

3x = 18

-divide both sides by 3

3x/3 = 18/3

-use the facts that 3/3 =1 and 18/3 = 3*6/3 = 6

x = 6

$35.50........... ....

Answer:

7 554 .5

Step-by-step explanation:

46£¥^99$

368¥/%#(₩098$%(₩¥=98€€₩($$¥97

In 110 meter dash, there are 360.8 feet.

Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.

Given that, there are 3.28 feet in a meter

Since,

in 1 meter there are = 3.28 feet

Thus in 110 meters there are = 3.28 * 110 feet

In 110 meters, there are = 360.8 feet

Therefore, there are 360.8 feet in 110 meters dash.

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Answer:

Celsius = 100c

Fahrenheit = 212f

Answer:

Elga is 37 years old

Step-by-step explanation:

(A shame they are not the same age but that would be too easy...)

So... they both equal 112 and one of them (Alvin) is 3 times older

Basically just divide 112 and 3

Answer : 37 years old

Check Work

112 - 37 = 75

75 + 37 = 112

Hope this helps :)

9514 1404 393

Answer:

  ? = 15a^2

Step-by-step explanation:

We assume you want

  (5a)/(8ab) = (?)/(24a^2·b)

Multiplying by 24a^2·b, we get ...

  (5a)/(8ab)·(24a^2·b) = ? = 15a^2

Answer:

∠ ABC = 127°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ ABC is an exterior angle of the triangle , then

∠ ABC = ∠ BDC + ∠BCD = 60° + 67° = 127°

We know that we have a triangle and we want to find the value of its angle which will be given by  53°.

We know that the sum of all the interior angles of a triangle must equal 180 degrees, so we find then:

[tex]ABC=180[/tex]

Now making the sum of the angles already known and equating to 180, we find that:

[tex]180=67+60+x\\x=180-127\\x= 53[/tex]

See more about triangles at brainly.com/question/25813512

Answer:

c seems right

Step-by-step explanation:

Answer:

there is no answer of this question

Step-by-step explanation:

sorry if I don't get it right but I think it's no?

Answer:

a.

MP3 player: 88%

Video game player: 92%

b.

MP3 player: 75 minutes

Video game player: 67 minutes

Step-by-step explanation:

a.

MP3 player

- Already has 40%

- Each 15 minutes additional 12%

--> An hour = (60/15)*12 = 48 (%)

--> After an hour charged = 40 + 48 = 88%

Video game player

- Already has 20%

- Each 10 minutes additional 12%

--> An hour = (60/10)*12 = 72 (%)

--> After an hour charged = 20 + 72 = 92 (%)

b. To charges 100 minutes:

MP3 player

100 = 40 + ((x/15*12)

--> x = 75 (minutes)

Video game player

100 = 20 + ((x/10*12)

--> x = 67 (minutes)

Answer: D

Step-by-step explanation:

Let say a: the line decreasing

b: the line increasing

[tex]a: \ is\ passing\ through\ (0,2)\ and\ (2,-2)\\has \ the \ slope=\frac{2+2}{0-2} =-2\\its\ equation\ is\ y-2=-2(x-0) \ or\ y=-2x+2\ or\ 2x+y-2=0 \\for\ (0,0): -2 <=0\\\\\boxed{First\ region\ is\ y\leq -2x+2}\\\\[/tex]

[tex]b:\ is\ passing\ through\ (2,0)\ and\ (-2,-2) \\has\ the\ slope \ = \frac{-2-0} {-2-2} =\frac{1} {2} \\its\ equation\ is\ y-0=\frac{1}{2}(x-2)\ or\ y=\dfrac{x}{2}-1 \ or\ -x+2y+2=0\\for\ (0,0):\ +2 > 0\\\\\boxed{Second \ region\ is\ y\leq \dfrac{x}{2}-1 }\\[/tex]

Answer is D

Answer:

=49.589

Step-by-step explanation:

Answer:

O Natural, whole, integer, rational, real

Step-by-step explanation:

it can be expressed as a fraction of 45/3, which means that it is rational.

it is a whole number because it does not contain a fraction or decimal.

it is a real number because it is a number we normally use such as 1, -0.1, 3/4, etc

it is a natural number because it is a positive integer.

and it is an integer because it does not contain a decimal.

Answer: Natural, whole, integer, rational, real