Solve and graph x - 2 > -5 and x - 2 < 4 on a number line

Answers

Answer 1

Answer:

(-3, 6)

Step-by-step explanation:

Solve x - 2 > -5 for x as follows:  Add 2 to both sides, obtaining x > -3.  To graph this, find -3 on the number line and put a circle there.  Draw a solid line from this circle towards the right.

Solve x - 2 < 4 for x as follows:  Add 2 to both sidees, obtaining x < 6.  Find 6 on the number line and put a circle there.  Draw a solid line from this circle to the left.

Notice that the two lines you've drawn overlap on the interval (-3, 6).  This is the desired solution set.


Related Questions

TO
What is the ratio of the area of a circle with an 8 m diameter to a
circle with an 8 m radius?

Answers

Answer:

8d : 8r = Ratio =  1 : 4

Step-by-step explanation:

Area of 8cm diameter = 4cm radius = formula pi x 4^2

= 50.2654825

= 50.27 m^2     rounded to 2dp as meters

Area of 8cm radius = formula pi x 8^2

=201.06193

= 201.06,^2     rounded to 2dp as meters

201.06193 / 50.2654825 = 4

4 x 50.265 = 201.061

    =        1    :   4

8d : 8r = Ratio =  1 : 4

The ratio of  the area of circle with an 8m diameter to a circle with an 8m radius is 1:4.

What is ratio?

A term that is used to compare two or more numbers and to indicate how big or small a quantity is when compared to another is called ratio.

What is area of circle?

Area of a circle is the region covered or enclosed within its boundary.

What is the formula for the area of circle?

The formula for the area of circle is give by

[tex]Area = \pi r^{2}[/tex]

Where,

r is the radius of the circle

According to the given question.

We have two circle.

One with the diameter 8m.

Radius, [tex]r_{1} = \frac{8}{2} =4m[/tex]

Therefore,

the area of circle with 4m radius

= [tex](4)^{2} \pi[/tex]

[tex]=16\pi[/tex]

Also, another circle with the radius 8m.

Therefore,

The area of the circle with the radius 8m

[tex]\pi (8)^{2} \\= 64\pi[/tex]

So,

the ratio of the area of circle with  an 8m diameter to a circle with an 8m radius = [tex]\frac{16\pi }{64\pi } =\frac{1}{4}[/tex]

Hence, the ratio of  the area of circle with an 8m diameter to a circle with an 8m radius is 1:4.

Find out more information about ratio, and area of circle here:

https://brainly.com/question/23388485

#SPJ2

what are multiplies of 8 that are also multiples of 64?
(MATH MATH MATH MATH)

Answers

Answer:

i did the math and person above is right :)

Step-by-step explanation:

Answer:

.

Step-by-step explanation:

What are the solutions to the following system of equations:
2x+y=9
3x - y = 16

Answers

2x+y=9
3x-y=16
————-
5x=25
x=5
————
10+y=9
y=-1

coordinates: (5,-1)

2X+y=9
3X-y=16
>>>>5X=25
X=5

Hope it helps you!?

i need much help plz

Answers

Answer:

77

Step-by-step explanation:

Rate as BRAINLIEST

x + 9y

we plug in x and y

5+9(8)

=5+72

= 77

Answer:

77

Step-by-step explanation:

substitute the values in the equation

that'll give you 5+9(8)

then evaluate, 9(8)=72

72+5=77

please help quickly this is timed

Answers

Answer:

the one you have selected is correct

Step-by-step explanation:

How do you write 3
5
/
12
as a decimal

Answers

Answer:

3.4166666666667

Step-by-step explanation:

3 5/12 as a decimal is 3.41667

ху
4 32
5 40
756
972
ОА. В
ОВ. 4
Ос. 32
OD. 8

Answers

Answer:

8

Step-by-step explanation:

mark me as brainliest ppls :)

Find the distance between the two points rounding to the nearest tenth (if necessary).
(0,−1) and (8,7)

Answers

Answer: 11.31

Step-by-step explanation:

Help?
Thanks guys!
Its math stufff, I also kinda need an explanation.

Answers

Answer:

Step-by-step explanation:

Aooalalslslslslpapwlqllslwlsposlskskskwkwjsjsjisisisw

Length from a to b is 6
Length from c to d is 2
Ratio is 6:2
Simplify by dividing both by 2
Ratio is 3:1

Length from e to f is 1
Length from a to g is 6+4+2+5+1+7
After addition, length from a to g is 25
Ratio is 1:25

A basket contains dog toys and dog bones. If six-eights of the items in the basket are dog bones, what is the percent of dog toys in the basket?​

Answers

Answer:

[tex]\dfrac{2}{8}=25\%[/tex]

Answer: 2/8 (1/4 simplified.) 0.25(decimal form)

Step-by-step explanation:

If 6/8 are dog bones, then we subtract 8/8-6/8. We get 2/8. If the fraction needs to be simplified, then we get 1/4. If a decimal is needed, then we divide 2 by 8. We get 0.25.

 

four times the difference of a number squared and six

Answers

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The Above expression can we showed as :

[tex]4( {x}^{2} - 6)[/tex]

here, the squared number is x

The price of a car is 3 x (10⁴). What is the price of the car?​

Answers

Answer:

30,000 brooooooooooooo

Answer:

30,000

Step-by-step explanation:

3 x 10000

=30000

what number is 75% of 32?​

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

24

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\text{Converting 75 percent to a decimal: } 75\%\rightarrow \frac{75}{100}\rightarrow 0.75\\\\\rightarrow 0.75 * 32 = \boxed{24}\\\\\\\rightarrow \text{75 percent of 32 is \textbf{24}.}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

If the directrix is y = 4 and the focus is at
(3,0), the value of p is:

Answers

Using the equation of an parabola, it is found that the value of p is 0.5.

The equation of a parabola that is concave to the left or to the right, that is, that has directrix y = k, and vertex (h,k), is given by:

[tex](y - k)^2 = 4p(x - h)[/tex]

The focus is at: (h, k + p).

The directrix is at: y = k - p

For this problem, we have that:

Focus at (0,3), thus [tex]k + p = 3 \rightarrow k = 3 - p[/tex].Directrix at y = 4, thus [tex]k - p = 4[/tex]

Since [tex]k = 3 - p[/tex]:

[tex]3 - p - p = 4[/tex]

[tex]2p = 1[/tex]

[tex]p = \frac{1}{2}[/tex]

[tex]p = 0.5[/tex]

The value of p is 0.5.

A similar problem is given at https://brainly.com/question/17987697

There are 60 minutes in one hour. There are 24 hours in one day. How many minutes are there in one day?

Answers

Answer:

There are 1440 minutes in a day

Answer:

1,440 minutes

Step-by-step explanation:

Multiply 60 minutes times 24 hours and it will equals 1,440.

Hi Guyss
Can you pls help?

Answers

B!

the golden ratio is where the long side can be split into two pieces and both can still be longer than the short side of the rectangle

A. 34x2=68 which is higher than 55 so it couldn’t split into two bigger halves
B. 20x2=40 which is smaller than 45 so it could split into two bigger halves (this one does fit the golden ratio btw)
C. 18x2=36 which is bigger than 34 and couldn’t split into two larger halves


Tim drives at an average speed of 80 km per hour for 2 hours 45 minutes.
Work out how many kilometres Tim drives.

Answers

Answer:

220km

Step-by-step explanation:

Time taken (t) = 2hrs 45 min

= 2.75 hrs

AV =80km/hrs

Displacement or Distance (d) =?

We have,

AV = d÷t

80 = d÷2.75

80 × 2.75 = d

d = 220km

What is the area of shape b

Answers

Answer:

312.5 cm²

Step-by-step explanation:

Since the figures are similar , then

ratio of heights = a : b

ratio of areas = a² : b²

Here linear ratio = 12 : 15 = 4 : 5 , then

ratio of areas = 4² : 5² = 16 : 25

let x be the area of B , the using proportion

[tex]\frac{200}{16}[/tex] = [tex]\frac{x}{25}[/tex] ( cross- multiply )

16x = 5000 ( divide both sides by 16 )

x = 312.5

Area of shape B is 312.5 cm²

Convert 3x-4y = 9 to slope intercept form. What are the slope and y - intercept ?

Answers

Answer:

Slope intercept form; -4y = -3x + 9

Y-intercept; 9

Answer:

y=3/4x+9/-4

Step-by-step explanation:

3x-4y=9

-3x. -3x

-4y= -3x+9

-4 -4

y=3/4+9/-4

whats the two correct answers???



will give brainliest

Answers

Answer:

- The graph is decreasing over its entire domain

- The graph is symmetrical about the origin

Step-by-step explanation:

The graph has an unremovable discontinuity at X=0, therefore all continuity answers are incorrect.

The graph is neither symmetrical about the x-axis nor y-axis, but if it were to be rotated around the origin, it would be symmetric.

On both sides of the graph, the slope is decreasing.

Therefore:

- The graph is decreasing over its entire domain

- The graph is symmetrical about the origin

Please solve this problem... I will mark you brainliest

Answers

I hope this helps you

- 0.2 ( 25x + 5 ) - 5 = 4

Answers

Answer:

x= -2

Step-by-step explanation:

-0.2(25x+5)-5 = 4

We move all terms to the left:

-0.2(25x+5)-5-(4) = 0

We add all the numbers together, and all the variables

-0.2(25x+5)-9 = 0

We multiply parentheses

-5x-1-9 = 0

We add all the numbers together, and all the variables

-5x-10 = 0

We move all terms containing x to the left, all other terms to the right

-5x= 10

x=  10/-5

x= -2

Answer:

x=-2

Step-by-step explanation:

step 1 -5x-1-5=4

step 2 -5x-6=4

step 3 -5x=10 cause you add 6 on both sides

step 4 and then divide both sides by -5 to get x=-2


Find the cost of sending 25 text messages.
Text messages- 5,6,7
Cost- 2.5,3,3.5

Answers

Answer:

12.5

Step-by-step explanation:

This is a proportional relationship:

y = kx

Use a pair of values to find the coefficient of proportionality (5, 2.5):

2.5 = 5kk = 2.5/5 = 0.5

k = 0.5 units represents a cost of a text message.

25 text messages cost:

25*0.5 = 12.5 units

ali bought 2 litre milk. he drank ⅖ litre of it. how much milk did ali has left?

explain with answer

Answers

Answer:

1.6 litre of milk is left

Please help meh i dont know the answer

Answers

Answer:

To the second one:

Step-by-step explanation:7x-11>=-74

Add 11 on both sides

7x>=-63

You divided by a positive, the sign does not change, However when you multiply or divide by a Negative, It does.

x>=-9

This is greater than or equal to, the hole would be closed and pointing right

The answer would be B.

HELP WILL MARK YOU BRAINLIEST NO FAKE ANSWERS

Answers

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The given statement can be represented as :

2b³ - b

where, the number is assumed to be " b "

therefore, the correct choice is B. 2b³ - b

Any Help On This Would Make Me So Grateful !

Answers

Answer:

Any Help On This Would Make Me So Grateful

If f(x) = 2x³ = x² + 3x + 10 and g(x) = x³ + 3x² + 2x + 4, determine when f(x) > g(x).

Answers

Hope this helps, if not sorry.

Ive tried everything and still dont understand can you help?

Answers

Answer:

13.896 kg

Step-by-step explanation:

Volume of Gold Bar = Area of [Trapezium x Length of Bar]

Length of Bar = 16 cm

Area of Trapezium = 2 × Area of Triangle + Area of Rectangle

Area of Triangle = 0.5 × 5 × 3 = 7.5 cm²

2 × Area of Triangle = 2 × 7.5 = 15 cm²

Area of Rectangle = 6 × 5 = 30 cm²

Area of  Trapezium = 15 + 30 = 45 cm²

Volume of Gold Bar = 45 × 16 = 720 cm³

Density of Gold = 19.3 g/cm³

Mass of Gold Bar = 720 × 19.3 = 13896 g = 13.896 kg

Mass of Gold Bar = 13.896 kg

Therefore the mass of the Gold Bar is: 13.896 kg (kilograms).

Answer:

13.896kg

Step-by-step explanation:

First, find the volume of the trapezium.

Volume = area of cross-sectional area times the length (16cm)

[(a+b)/2] times height

(6+12)/2 x 5

(18/2) x 5

9 x 5

= 45 <-- area of cross section

45 x 16 = 720 cm^3 <-- volume

To find the mass, multiply volume times density

720 x 19.3 = 13 896g  = 13.896kg

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Evaluate the expression when a=2/3 and c= -2/7
-4c-a
Write your answer in simplest form.

Answers

Answer:

[tex]\frac{10}{21}[/tex]

Step-by-step explanation:

Substitute the given values into the expression

- 4c - a

= - 4 × - [tex]\frac{2}{7}[/tex] - [tex]\frac{2}{3}[/tex]

= [tex]\frac{8}{7}[/tex] - [tex]\frac{2}{3}[/tex] ( the LCM of 7 and 3 is 21 ) , then

= [tex]\frac{8(3)}{7(3)}[/tex] - [tex]\frac{2(7)}{3(7)}[/tex]

= [tex]\frac{24}{21}[/tex] - [tex]\frac{14}{21}[/tex]

= [tex]\frac{24-14}{21}[/tex]

= [tex]\frac{10}{21}[/tex]

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