Solve the inequality x + 2 1/2 > -1/2. Graph the solution set on a number line.show your work.

Answers

Answer 1

Answer:

x > - 3

Step-by-step explanation:

x + 2[tex]\frac{1}{2}[/tex] > - [tex]\frac{1}{2}[/tex]      First turn 2[tex]\frac{1}{2}[/tex] into an fraction since its easier. So it becomes [tex]\frac{5}{2}[/tex]

x + [tex]\frac{5}{2}[/tex] > - [tex]\frac{1}{2}[/tex]

  - [tex]\frac{5}{2}[/tex]     - [tex]\frac{5}{2}[/tex]         Do inverse operations, so subtract [tex]\frac{5}{2}[/tex] from both sides.

    x > - [tex]\frac{6}{2}[/tex]          Combine  - [tex]\frac{5}{2}[/tex] with - [tex]\frac{1}{2}[/tex], which gives us - [tex]\frac{6}{2}[/tex]

    x > - 3          Since we know that 6 divided by 2 is 3.

This would not allow me to attach an image so I am going to type a visual representation f what the graph would look like below)

<-------------O--------------------------------------------------->

-5    -4     -3      -2       -1     0     1     2    3    4     5

So, the number line would be a solid line rather than dashed (but I was not able to attach an image so I kind of had to improvise). When using ≥ ≤ sings the circle of the point is closed. When using < and > signs, the circle of the point is open. Thus, in this scenario since he sign is >, then the circle of the point is open. The direction of the arrow and ray for this equality is going to the right because the answer is that x is greater than - 3, Therefore any values greater than - 3 are a possibility which is why the arrow goes on indefinitely.

 


Related Questions

Find the number of real number solutions for the equation.

x2 − 6 = 0


1


2


0

Answers

Answer:

2

Step-by-step explanation:

Remember, adjectives in Spanish agree with the gender of the noun they describe.
Por ejemplo: el chico ordenado / la chica artística

Answers

Answer:

1) A serious girl - Una chica seria/Una joven seria

2) The talented boy - El chico talentoso/El joven talentoso

3) An outgoing girl - Una chica extrovertida/Una joven extrovertida

4) The tasty ice cream - El helado delicioso/El helado sabroso

5) A funny book - Un libro divertido/Un libro entretenido

Step-by-step explanation:

Now, we present a possible set of solution, as there are solutions as many synonyms exist in Spanish. Then:

1) A serious girl - Una chica seria/Una joven seria

2) The talented boy - El chico talentoso/El joven talentoso

3) An outgoing girl - Una chica extrovertida/Una joven extrovertida

4) The tasty ice cream - El helado delicioso/El helado sabroso

5) A funny book - Un libro divertido/Un libro entretenido

Can some kind person help me on this assignment pls

Answers

Answer:

D, B

Step-by-step explanation:

Question 8.

The shaded area should be on or below the line [tex]y=\frac{5}{2}x-2[/tex] AND below but not on the line [tex]y=\frac{1}{2}x+2[/tex]

Question 9.

See the attached image.

Shade on or under the line [tex]y=\frac{1}{2}x-1[/tex] AND above but not on the line [tex]y=\frac{3}{2}x+1[/tex].

The circumference is 79.5
Need help with finding the diameter and radius

Answers

Answer:

Step-by-step explanation:

[tex]C=\pi D[/tex]

[tex]79.5=\pi D\\[/tex]

divide by [tex]\pi[/tex]

D = 25.30

radius = [tex]\frac{d}{2}[/tex]

[tex]\frac{25.30}{2} =12.65[/tex]

Answer:

r approx 12.7

d approx 25

Step-by-step explanation:

y = -3x + 2 y = 4x - 5. *
can someone solve this for me please?​

Answers

Answer:

y=  -3          

y = 4                        

Step-by-step explanation:

Please Help me. I need answers

Answers

Answer:

7

Step-by-step explanation:

49 ÷ 7 = 7

Square root is always dividing by a whole factor :)

Answer:
7

Explanation:
7 times 7 is 49
If you square 7 (aka multiply it by itself), you get 49


Someone please please help me with both

No links or files

Answers

Answer:

the first one is b and the second one is 17 I think

to solve you do the mixed number (4) times the denominator (5) plus the numerator (3)

If h = 18 units and r = 9 units, then what is the volume of the cone shown above

A. 234 cubic units

B. 1,458 cubic units

C. 972 cubic units

D. 486 cubic units

Answers

Answer:

Volume = 1526.04 cubic units

Step-by-step explanation:

Formula for volume of a cone:

V = πr²h/3

If we use 3.14 for pi, we get 1526.04:

V = 3.14(9)^2(18)/3

V = 1526.04

ILL BRAINLIEST YOU PLEASE HELP ME

Answers

Answer:

x = 28

Step-by-step explanation:

which value is correct? multiple choice

Answers

Answer:

D) 83

Step-by-step explanation:

x+7=90

x= 83

Hope it's helpful...

Answer:

D

Step-by-step explanation:

The diagonals of a kite are at right angles to each other, then

x + 7 = 90 ( subtract 7 from both sides )

x = 83 → D

Four different linear functions are represented below. Drag the representation of each function into order from greatest y -intercept to least y -intercept.

Answers

Answer:

Descending order intercept : y = 5x + 4 , y = 4x + 3 , y = 3x + 2 , y = 2x + 1

Step-by-step explanation:

Linear Equations are in form of 'y = mx + b'.

Here, b is y intercept & it represents autonomous ie constant value of y irrespective of value of x. And, m represents slope ie change in y due to change in x.

Eg : 'y = 2x + 1' has least y intercept ie common autonomous value ie 1.       y = 3x + 2 , y = 4x + 3 , y = 5x + 4 ; these have higher & higher y intercepts respectively.

Arrangement from greatest to highest intercept (descending order of intercept) of above : y = 5x + 4 , y = 4x + 3 , y = 3x + 2 , y = 2x + 1

Answer:

Can you add a picture there is like 10 of these on imagine math

Step-by-step explanation:

Thank you

Que es un variable? (De matemáticas)

Answers

Answer:

[tex]\huge\boxed{Que \ es \ un \ variable \ ?\hookleftarrow}[/tex]

✐ En matemáticas, una variable es un símbolo que funciona como marcador de posición para expresiones o cantidades que pueden variar o cambiar; se utiliza a menudo para representar el argumento de una función o un elemento arbitrario de un conjunto. Además de los números, las variables se utilizan comúnmente para representar vectores, matrices y funciones.

What is the surface area? 7 in 6 in 3 in​

Answers

Answer:

126

Step-by-step explanation:

Hello. I think you mean find the volume volume=3D shapes area=2D shapes.
The formula is lxwxh (length x width x hight)
That means 6x3x7
You do 6x3=18x7=126
Your answer is 126-

Hope I could help!
Have a good day

Help please please help help me!!!!

Answers

Answer:

I got 126.12 in my notes

Step-by-step explanation:

What is the equation of the line that passes through the coordinates (-2, 11) and (1, -34)?

Answers

Answer:

y = 15x - 19

Step-by-step explanation:

In order to pass through both (-2, 11) and (1, -34), then the equation must be y = 15x - 19. Hope this helps!

Find the product of 12 and 8. Find the greatest common factor of 12 and 8. Find the least common multiple of 12 and 8. Find the product of the greatest common factor and the least common multiple of 12 and 8.

Answers

Answer:

Product: 96

GCF: 4

LCM: 24

Product of the GCF and LCM: 96

Step-by-step explanation:

Product - The answer to a multiplication problem.GCF - The greatest positive integer that evenly divides both numbers.LCM - The smallest multiple that both numbers have in common.

Now that we know what definitions are, we can solve this word problem.

12 × 8 = 96.

96 is the product.

To find the greatest common factor, we can list all of the factors for each number.

12: 1, 2, 3, 4, 6, 12

8: 1, 2, 4, 8

The largest factor both numbers have in common is 4.

Therefore, 4 is the greatest common factor.

To find the least common multiple, we can list the multiples of both numbers.

12: 12, 24, 36, 48, 60, 72, 84, 96

8: 8, 16, 24, 32, 40, 48, 56, 64

The smallest multiple both numbers have in common is 24.

Therefore, 24 is the least common multiple.

Lastly, we have to find the product of the GCF and the LCM.

The GCF is 4 and the LCM is 24.

4 × 24 = 96.

96 is the product.

Therefore, 96 is the product of the greatest common factor and the least common factor of 12 and 8.

Mia had 11/15 pounds of flour. She makes a cake with 2/15 pounds of flour.how much flour is left? Write as a fraction in simplest form

Answers

Answer: 3/5

Step-by-step explanation:

11/15-2/15=9/15

9/15 simplified is 3/5 :D have a nice day! hoped this helped!

Given the figure below, find BD.
А
B
8
6
X + 3
2x
D

Answers

The answer to find BD is 6

The temperature outside is 14°F. If the temperature drops 20° ,will the outside temerature be represented by a positive or nagative integer?Explain your reasoning.

Answers

Answer:

14-20=     -6

Step-by-step explanation:

If it goes past zero on the left its now a negative

Hope this helps plz like and brainly :D

Much would be appreciated <3

PLEASE HELP! I’ll give brainliest (no links please)

Answers

Answer:

g(x)=2x^2

Step-by-step explanation:

Multiplying by a constant will stretch the graph as shown. The graph of g(x) appears to pass through (1,2), so g(x)=2x^2 is a reasonable guess (I can't see the answer choices).

5 Chapter 3 Test
X
+
orms/d/e/1FAIpQLSe6KTRWYSZGI024oXrwsAChqJkpGlz8jsBYaiJCTAMB-2RfA/viewform?hr_submission=chki
3. What is the value of the 8 in 0.283? Select ALL that apply. *
0.8
0.08
8 x 1/10
8 x 1/100
eight hundredths

Answers

Answer:

0.08, 8 hundreths, 8 x 1/100

Step-by-step explanation:

The first digit before the decimal is a unit.

The first digit after the decimal point is called a tenth

The second digit after the decimal point is called hundreths

The third digit after the decimal point is called a thousandths

The 8 is the second digit after the decimal point.

Therefore the answer is eight hundreths or represented by the decimal form of 0.08

It is also 8 x 1/100 because if we multiply this we get 0.08

Complete the square to write each equation in vertex form. Then, state whether the vertex is a minimum or a maximum and give its coordinates.

Answers

Answer:

a) y(x) = (x + 2)^2 -2

b) minimum

c) (-2, -2)

Answer:

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

• If a > 0 then vertex is minimum

• If a < 0 then vertex is maximum

Given

y = x² + 4x + 2

(a)

To complete the square

add/ subtract ( half the coefficient of the x- term)² to x² + 4x

y = x² + 2(2)x + 4 - 4 + 2

y = (x + 2)² - 2

(b)

Since a = 1 > 0 then vertex is minimum

(c)

(h, k ) = (- 2, - 2 ) ← coordinates of vertex

When Khadija stands at a distance of 18 m from the base of a tree, she forms
an angle of 57° with the top of the tree. What is the height of the tree to the
nearest tenth?
A 27.7 m
B 28.5 m
C 29.2 m
D 301 m

Answers

It is A because it can’t be B and it can’t be C and it can’t be D so my answer is A

Factoring can be used to solve ANY quadratic equation.
True or false

Answers

Answer: False, Quadratic can sometimes be solved by factoring. It can ALWAYS be solved using the quadratic formula.

Step-by-step explanation:

Hope this helps :)

Answer:

false

Step-by-step explanation:

Good morning, is there any guinea pig expert or anybody with a small creature know what's going on cause inside my guinea pig eye (not outer) have this white spot in the pupil, it expands and shrinks.. please help

Answers

I would like to ask you to go to the vet, or attempt to, as this might be a worm in the eye. The same thing happened to my dog.

please do this quick

Answers

He can hold 14 gallons

A quadratic equation is shown below: x2 − 8x + 13 = 0 Which of the following is the first correct step to write the above equation in the form (x − p)2 = q, where p and q are integers? (5 points) Subtract 5 from both sides of the equation Subtract 3 from both sides of the equation Add 5 to both sides of the equation Add 3 to both sides of the equation

Answers

Answer:

Add 3 to both sides of the equation

Solution:

The first step is to basically realize that all it's asking you to do is to find a way to make the expression on the left ([tex]x^2 - 8x + 13[/tex]) into an expression that is a perfect square. So what number should you add to both sides such that [tex]x^2 - 8x + (13 + j)[/tex] can be factored into [tex](x-p)^2[/tex] ? Well, we can approach it like this:

Since [tex](x-p)^2[/tex] can be turned into [tex]x^2 -2px + p^2[/tex], and our original form was [tex]x^2 - 8x + (13 + j)[/tex], we quickly realize that [tex]-2px = -8x[/tex]. From there, we can easily tell that [tex]p = 4[/tex]

Plug this into our last value [tex]p^2[/tex] to get 16. Therefore, if we compare this with our original equation again [tex]x^2 - 8x + (13 + j)[/tex], we notice that 13 + j = 16.

Thus, j = 3 for the last answer.

Add 3 to both sides of the equation.

Note: With more practice, you will quickly gain enough intuition to notice that [tex]x^2 - 8x + 13[/tex] is very close to [tex]x^2 - 8x + 16[/tex] which can be factored into [tex](x-4)^2[/tex]. But for now, the solution above will suffice. I hope this helps :))

Solve 5(8x + 4) = 300 . PLEASE HELP ME IT'LL MAKE MY DAY​

Answers

X=7 5x8 is 40x and 5x4 is 20 take away 20 from both sides so it looks like this 40x=280 then divide by 40

(x - 7)2 + (y + 5)2 = 4
what’s the center and radius

Answers

Answer:

(7, - 5 ) and r = 2

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x - 7)² + (y + 5)² = 4 ← is in standard form

with centre = (h, k ) = (7, - 5 ) and r = [tex]\sqrt{4}[/tex] = 2

2
The size of a TV is the diagonal
measurement of its screen. Will a
46-inch TV fit in a rectangular cabinet
measuring 32 inches long and
28 inches high? Explain.

Answers

Answer:

Use the Pythagorean Theorem to calculate the length of the sides of a right triangle. A TV cut in half on the diagonal is a right triangle.

a^2 + b^2 = c^2

a is the width of the TV

b is the height of the TV

c is the diagonal size of the TV

a is equal to the length of b plus 15, and c is equal to 75. If we out those values into the formula, we get this:

(b+15)^2 + (b)^2 = (75)^2

Factoring that out, we get:

(b)^2 + 225 + (b)^2 = 5625

Then..

2b^2 = 5625 - 225

2b^2 = 5400

b^2 = 5400/2

b^2 = 2700

b = ✓2700

b = 51.9615242271 (round it to an even 52)

Next, we know that a = b + 15, so a = 67.

Therefore, the width of the TV is 67 inches, the height is 52 inches, the diagonal is 75 inches, and you have a very strangely shaped television with a 1.288 (approximately 5:4) aspect ratio. Older “square” TVs mostly had a 1.33 (4:3) ratio, and new TVs are usually either 16:9 (1.77) or 21:9 (2.33). While it's not impossible that you have an old square TV with a 75 inch diagonal, it's pretty unlikely…

Step-by-step explanation:

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