Please help with this i have a test on Monday and need to understand :)

The correct answers to the given graph/number line:  " x > -6 " ;

are: Answer choices:  [A]: ​" 3(4 − x) < 30​ " ;
                             and:   [B]: " [tex]\frac{2}{3}[/tex] x + 9 > 5 " .
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Step-by-step explanation:
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Note:  The "given graph" is a "number line" that represents:
 " x > - 6 " .  

The "negative 6"; that is: "-6" is "circled"; which means "does not equal: ("-6");  there is a line, or geometrically speaking, a "ray" ; that continues to the side going forward to all value greater the "-6" .

_____

The question asks:
What inequalities describe the given {graph—in our case, number line.}.

So, there are 4 (four) answer choices.
We are to determine which Answer choice(s) are equal to:
      " x > - 6 " .
_____

Choice [A]:  " 3(4 − x) < 30 " ;
To simplify:
First, let us divide each side of this 'inequality; by "3":
       " [3(4 − x)] / 3 < [30/3] " to get:  " 4 − x  < 10 " ;
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We can multiply each side of this inequality by "-1" ;
 " -1(4 − x) < 10(-1) " ;

Note:  - 1(x − y) = y − x ;

and when each side of an Inequality, specifically, is multiplied or divided by a 'negative number'; we change the 'direction' of the inequality ;

So we simplify our inequality:
" x − 4 > -10 " ;  Add "4" to both sides of this inequality:

" x − 4 + 4 > -10 + 4 " ;  to get:  " x > -6 " ;  which is a correct answer.
_____
Choice: [B]:  " [tex]\frac{2}{3}[/tex] x + 9 > 5 " ;  To simplify:
Subtract "9" from each side:
  " [tex]\frac{2}{3}[/tex] x + 9 − 9 > 5 − 9 " ; to get:  " [tex]\frac{2}{3}[/tex] x > -4 ";  
Now, multiply the entire inequality by "3";
⇒  3*[[tex]\frac{2}{3}[/tex] x] > 3*(-4) ";  
to get:  " 2x > -12 ";  Now, divide Each side by "2" :
 " 2x /2 > -12 / 2 ";  to get:  " x > -6 " ; which is a correct answer!
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Choice [C]:  " -2(9 − x) < -6 " ; To simplify: Divide each side by "-2" ;

→ " [-2(9 − x)] /-2] < -6/-2 " ;
Note: When multiplying and dividing both sides of an 'inequality' by a 'negative number; the "sign/direction" of the inequality changes.

 → to get:  " 9 − x > 3 "; Now, multiply  each side by "(-1)";
→ " -1(9 − x) > (3*-1); Note, we are multiplying by a negative number, so we shall reverse the direction/sign of the inequality.  
Also: Note:  " -(x − y) = y − x) " ;  
→  So, we can simplify:
    " x − 9 < -3 " ;
Now, add "9" to each side:  
" x − 9 + 9 < -3 + 9 "; to get:  " x < -6 " ; which is not a correct answer.
_____
Choice: [D]: " 2x − 5 > 7 ";  Add "5" to each side of the inequality:
" 2x − 5 + 5 > 7 + 5 " ;  to get:  
   2x > 12 ;  Now divide each side of the inequality by "2" ;
       to isolate "x" on one side of the equation; & to solve for "x" ;
   2x / 2 > 12/2 ;  
   to get:  "x > 6 " ; which is not a correct answer.
______________
The correct answers to the given graph/number line:  " x > -6 " ;

are: Answer choices:  [A]: ​" 3(4 − x) < 30​ " ;
                             and:  [B]: " [tex]\frac{2}{3}[/tex] x + 9 > 5 " .

Hope this is helpful.  Best wishes to you in your academic endeavors!
______________

Answer:

80 cm

Step-by-step explanation:

1 cm = 10 mm

8 x 10 =80

Answer:

Translate ABC to the right 2 units and down 4 units.

Step-by-step explanation:

Focus on how you count the squares, look at the blue triangle and then at the pink one. You count the A first to the right so it gets you the answer of 2 units to the right now count the same A and proceed to locate where the A' is so you count 4 squares as you get down to the A'. I hope this helped you understand (-_-;")

Answer:

84

Step-by-step explanation:

11 goes into 92 8 times

The first answer is 8

11*8 is 88

92-88 is 4

Carry down the 4 and make 44

11 goes into 44 four times

The second answer is 4

11*4 is 44

44-44 is 0

Hope this helps!!

Answer:

jesse's mistake is in Step 1

Step-by-step explanation:

She had to subtract 9 from 11, which would have got her 2, for the part after the equal sign. However, she put 3, and 11-9 is not 3, so she is wrong.

Hope this helps!

Answer: Answer:

Please find attached the required new cereal boxes for the Yum Yum Cereal Company created with Microsoft Visio

Step-by-step explanation:

The required volume of the cereal box = 2,400 cm³

The box is to be drawn and labeled as follows using Microsoft Visio

Box #1 Length = 16 cm, Width = 15 cm, Height = 10 cm

The volume = Length × Width × Height = 16 cm × 15 cm × 10 cm = 2,400 cm³

Box #2 Length = 30 cm, Width = 10 cm, Height = 8 cm

The volume = Length × Width × Height = 30 cm × 10 cm × 8 cm = 2,400 cm³

and this is more simple Volume = (length width) height For example, the volume of the cereal box pictured is 312 cubic inches because V = (8 3) 13 = 312 cubic inches.

Step-by-step explanation:

Answer:

answer= 9x2 + 36x + 30

Step-by-step explanation:

cuz it is lol

Answer:

3 6 12 24 48 96 192 384 768 1,536 etc.

Answer:

3,6,12,24,48,96,192,384,768

Multiples of 12

Step-by-step explanation:

Its easy, you start with 3 and continue,

Then you get to 6,

6*2=12

12*2=24

24*2=48

48*2=96

OR

Geometric Progression

formula T= ar exponential n-1

:r=2

a=3

n=3

T =term

T2 =2*(3*3*3)

T2 =54.

Answer:

The first and the second ones

Step-by-step explanation:

If you have to multiply both sides of the equation by a negative number in order to solve the inequality....this is what reverses the inequality sign ====> you will have to do this for the first and second ones

Answer:

The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. Basically, it is equal to half of the base times height, i.e. A = 1/2 × b × h. Hence, to find the area of a tri-sided polygon, we have to know the base (b) and height (h) of it. It is applicable to all types of triangles, whether it is scalene, isosceles or equilateral. To be noted, the base and height of the triangle are perpendicular to each other. The unit of area is measured in square units (m2, cm2).

Step-by-step explanation:

hope this helps if not let me know

Answer:

Events A and B are OVERLAPPING

P(A or B)= 1/2

Step-by-step explanation:

Answer:

The theorem states a relation of the number of faces, vertices, and edges of any polyhedron. Euler's formula can be written as Faces + Vertics = Edges + 2, where F is equal to the number of faces, V is equal to the number of vertices, and E is equal to the number of edges.

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Answer:

1909.57 cm^3

Step-by-step explanation:

Answer:

in one litre there are 1000 milliliters

in 2.3 litres there are

2.3 × 1000 milli litres

= 2300 ml

The answer is 2 300 you just have to multiply by 1000

if we take 4c to be the 100%, what is 0.2c off of it in percentage?

[tex]\begin{array}{ccll} a&b\\ \cline{1-2} 4c & 100\\ 0.2c& x \end{array} \implies \cfrac{4c}{0.2c}~~=~~\cfrac{100}{x}\implies \cfrac{4}{0.2}~~ = ~~\cfrac{100}{x} \\\\\\ 4x=20\implies x=\cfrac{20}{4}\implies x=5[/tex]

Answer:

3.75

Step-by-step explanation:

3/4=0.75

5x0.75

=3.75

Answer:

3.75

Step-by-step explanation:

its obvious duh

Answer:

$115.5

Step-by-step explanation:

11*6=66

66*1.75=115.5

Answer:

197.97

Step-by-step explanation:

197.97

Answer:

410.4

Step-by-step explanation:

So you just do 6 x 6 x 11.4 and you get the volume

Answer:

=1.5

Step-by-step explanation:

h=5r=3 h=5l=3w=1r=1.5

-lukelaws

Hope I helped if I did please mark me brainliest If im wrong sorry!

Answer:

The mean is the most accurate as it shows the average of television sets

Another possible one is the mode, it shows the most frequent one

Answer: Mode

Step-by-step explanation: You can see that the number 4 appears a lot. Mode finds the most frequesnt value.

Answer:

Top and Bottom angle: Obtuse

Right and Left angle: Acute

There are 2 acute angles, 0 right angles, and 2 obtuse angles in this figure.

Answer:60

Step-by-step explanation:

10*18=180/3=60

(brainly patrol please don’t delete)

Answer:

the mean is 2009

Step-by-step explanation:

add them all and divide by how many numbers so in this case divide by 5

Answers:

Option #1: Natural selection causes advantageous variations to become more common over many generations.

Option #3: The result of natural selection in a population depends on the population's eviroment.