Solve the inequality 2x-8 ≤ 14 and graph its solutions on the number line.

Answers

Answer 1

Answer:

Step-by-step explanation:

2x-8 ≤ 14

1. Add 8 to both sides of the inequality sign to move the 8 from the left side to the right side.

2x ≤ 22

2. Divide both sides by 2 to get the x alone.

x ≤ 11

3. Make a number line from 8 to 13 (numbers can be changed), draw a circle above the number 11 and fill in the circle.

4. Now, make a line going from the circle to the left and draw an arrow at the end.


Related Questions

Which set of ordered pairs could represent a function?
o (2, 3), (2, 2), (2, 4), (2, 9), (2,-2)
O (1,5), (2, 6), (1, 6), (4, 5), (1, 4)
O (1, 0), (2, 0), (1, 3), (4,3), (5, 7)
O (5, 1), (7,3), (9,5), (11, 7), (13, 9)

Answers

Answer:

(5,1), (7 3), (9, 5), (11, 7), (13, 9)

Step-by-step explanation:

For every input there is exactly one output.

Answer:

(5, 1), (7,3), (9,5), (11, 7), (13, 9)

Step-by-step explanation:

Compare and contrast a postulate , theorem and a conjecture

Answers

Answer:

Postulates and conjectures are similar in that they are both used in mathematical proofs. The difference between them is that whilst a conjecture is a opinion that is put forward without proof, and that simply represents a belief, a postulate it something that is assumed true (but still does not have any proof behind it).

Step-by-step explanation:

Answer: Postulate – this is also called as axiom. This study is accepted without asking for any proof. This is considered as true without further proof. IT is simply considered as self-evident. It is usually agreed by anyone to be true and acceptable.

Example of postulate is to prove a simple triangle as congruent.

While conjecture – considered as proposition in which it needs to provide value proof or evident in order for it to be considered as true.

Examples of conjecture are four color theorems and Fermat’s Last theorem.

Step-by-step explanation:

Offering lots of points for the right answer! Please help with this question, thank you!

Answers

Answer:

Rotate EFG around point E by 90 degrees clockwise and then translate downwards.

Rotate EFG around point F by 90 degrees counterclockwise and then reflect on a horizontal line e is on, and then translate EFG onto triangle PQR

Step-by-step explanation:

Not going to lie, they made it a lot harder without coordinates... so sorry no explanation...

In 11 years, John's age will be 5 less than 5 times his current age. How old is he?

If x represents John's current age, which of the following equations could be used to solve this problem?

A.) x + 11 = 5x -5
B.) x+11 - 5 = 56
C.) x + 11 = 5.5x

Answers

I could be wrong but I’m pretty sure it’s A

Answer:

I believe its a

Step-by-step explanation:

Thomas bought 4 shirts from a store. The price of each shirt was the same. After he bought the shirts, his account balance showed a change of −$89.08. What would have been the change to Thomas's account balance had he only bought 1 shirt from the store?
A. $22.27
B. -$22.27
C. $22.45
D. -$22.45

Answers

Answer:

B. -22.27

Step-by-step explanation:

To find the answer just divide the acount balance after he bought the 4 shirts by 4 to get the answer of what his balance would be  after he bought 1 shirt.

Write the equation in standard form.
5−3(x−2y)=1−5x

Answers

Answer:

2x+6y=-4

Step-by-step explanation:

Help me please.......

Answers

Answer:

90 . this can be easily answered as all the angle of points are given in question

Step-by-step explanation:

90 degree angle

The microsphere nanoscope is a powerful tool that allows humans to see structures 9 × 10–9 meter in diameter.

How is this number expressed in standard form?

Answers

The standard form of the microsphere nanoscope that allows humans to see structure is a diameter of 9 * 10⁻⁹ meter.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.

A standard form is a form of writing an equation, number, or an expression in a form using certain rules.

The standard form of the microsphere nanoscope that allows humans to see structure is a diameter of 9 * 10⁻⁹ meter.

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Four less than the product of 6 and a number equals 3

Answers

Answer:

-1/6 (written as a fraction)

Step-by-step explanation:

our goal here is to get n by itself

6n-4=3

add 4 to both sides

6n=-1

divide both sides by 6

n= -1/6 (a fraction)

solve the problem

1 . 5 x 0 . 3 = ?​

Answers

Answer:

0.45

Step-by-step explanation:

1.5 × 0.3 = 0.45

I hope this helps!

Which of the following statements is TRUE about parallel lines pq and rs?

a° and c° are alternate interior angles
a° and c° are alternate exterior angles
a° and c° are corresponding angles
a° and c° are vertical angles

Answers

Answer:

a and c are alternate interior angles

For the parallel lines pq and rs a° and c° are alternate interior angles. Option A is correct.

What are parallel lines?

Parallel lines are defined as identical lines with identical orientations, parallel lines never intersect each other but meet at infinity.

Here,
When two parallel lines is intersect by a transversal line then the angles made facing the region between the parallel lines are said to be interior angles, And as we know that alternate angles for parallel lines are always equal. So a° and c° are alternate interior angles.

Thus, a° and c° are alternate interior angles.

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What is the distance between the points M (-3, 7) and N (a, b)?

Answers

Answer:   [tex]\sqrt{ (-3-a)^2 + (7-b)^2 }[/tex]

Explanation:

We plug the given coordinates into the distance formula

[tex]d = \sqrt{ (x_1-x_2)^2 + (y_1-y_2)^2 }\\\\[/tex]

There isn't much we can do from there since we don't know the values of 'a' or 'b'. You could expand out each binomial, but it's more simplified being factored like that.

(10, y) and (3, 4); m= -2/7 find missing value

Answers

Answer:

y2 -y1 =4 - y  = 2      y has to = 2 because your slope m= - 2/7

x2-x1  =3-10 = -7

Step-by-step explanation:

( 10 , y )  (3 ,  4)

 x1   y1    x2  y2

We have that for the Question "(10, y) and (3, 4); m= -2/7 find missing value" it can be said that

The value of y is

y=8

From the question we are told

(10, y) and (3, 4); m= -2/7 find missing value

Generally the equation for the slope m  is mathematically given as

[tex]m=\frac{y2-y1}{x2-x1}\\\\Therefore\\\\m=\frac{y2-y1}{x2-x1}\\\\-2/7=\frac{4-y}{3-10}\\\\-2/7*-7=4-y\\\\y=4((-2/7)*-7)\\\\[/tex]

y=8

Therefore

The value of y is

y=8

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What do you need to do to solve this equation.
x - 3=7

Answers

Answer:

Add 3 over to 7 and get 10

X = 10 would be your final result

Step-by-step explanation:

I hope this helps you :)

Sally received a $30 gift card that could be used to download songs. After she downloaded 7 songs , she had $15 remaining on her gift card. If each song costs the same amount to download, what is the cost of one song?

Answers

Answer:

Step-by-step explanation:

2 dalliers and 14 cents

Answer:

$2.14285714286 or $2.14

Step-by-step explanation:

This is quite simple.

#1. Take-away $15 from $30 because "$15 remain"ed.

#2. Then you get $15 dollars and divide that by 7, because she used the "same amount to download" each song so you divide 15 among 7 equally.

#3. There you go! You have the answer! it's: $2.14285714286 or $2.14 if simplified.

WooHoo!

A______ is always a rectangle

A. parallelogram

B. rhombus

C. square

D. trapezoid​

Answers

Answer:

A square is always a rectangle

The following scores were obtained by 11 footballers in a goal-competition 536878311632. The median score was?

Answers

Answer:

3

Step-by-step:

1,1,2.2.3.3.3.5.6.6.7.8.8

more 3s than other numbers

median is 3

What are the answers I need help ?

Answers

Answer:

I can't see -_-

Step-by-step explanation:

I can't -_-

9a4 + 12a²b2 + 464
Which of the following is equivalent to the
expression shown above?
4
A) (3a2 +2623
B) (3a + 2b)*
C) (9a+4622
D) (9a + 4b)4

Answers

Answer:

c

Step-by-step explanation:

HURRY LOTS OF POINTS!!

Answers

Answer:

they are going to half to sell 100 tickets. 5 times 100 is 500

Step-by-step explanation:

pls make me brainliest

Answer:

500

Step-by-step explanation:


Identify the slope and y-intercept from the following equation.

Answers

Answer:

The slope is 2/5 and the y intercept is -4

Step-by-step explanation:

The slope is always the coefficient to x

Answer:

slope = [tex]\frac{2}{5}[/tex] , y- intercept = - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{2}{5}[/tex] x - 4 ← is in slope- intercept form

with slope m = [tex]\frac{2}{5}[/tex] and y- intercept c = - 4

8 + z = 19. step equations

Answers

Answer:

11

Step-by-step explanation:

First subtract

19-8= Z

So solution would be

Z=11

Answer:

z=11

Step-by-step explanation:

step 1:simplify both sides of the equation

z+8=19

step 2:subtract 8 from each side

z+8-8=19-8


The annual profit at a chain of stores is normally distributed with a mean of $61,000 and a standard
deviation of $23,000. The stores in the top 5% of annual profit were rewarded with a celebration. What
was the annual profit required to have a party?

Answers

Answer: $98,835.

Step-by-step explanation:

Given: Annual profit at a chain of stores is normally distributed with a mean ([tex]\mu[/tex]) of $61,000 and a standard  deviation([tex]\sigma[/tex]) of $23,000.

Let [tex]x[/tex] denoted the profit.

Let [tex]x_0[/tex] be the minimum profit required to have a party.

The stores in the top 5% (i.e. 0.05) of annual profit were rewarded with a celebration.

i.e. [tex]P(x>x_0)=0.05[/tex]

[tex]\Rightarrow\ P(\dfrac{x-\mu}{\sigma}>\dfrac{x_0-61000}{23000})=0.05\\\\\Rightarrow\ P(z>\dfrac{x_0-61000}{23000})=0.05\ \ \ [z=\dfrac{x-\mu}{\sigma}]\\\\\Rightarrow\ \dfrac{x_0-61000}{23000}=1.645\ \ [\text{critical z-value for p-value 0.05=1.645}]\\\\\Rightarrow\ x_0-61000 =1.645\times 23000\\\\\Rightarrow\ x_0-61000 =37835\\\\\Rightarrow\ x_0=37835+61000\\\\\Rightarrow\ x_0=98835[/tex]

Hence, the annual profit required to have a party was $98,835.

what is the graph of y= -4x -1?

Answers

Here is the graph if u need coordinates let me know

Answer:

The y-intercept is -1

The slope is -4 so you will go down 4 and over 1 to the right.

The line is negative

So it will be pointing Northwest and Southeast \ that way.

Step-by-step explanation:

Did you understand this??

a) Calculate the magnitude of the angle a in the diagram above.
b) Find the length of OT

Answers

Answer:

angle a = 53.13 degrees and OT = 5cm

Step-by-step explanation:

Tan A = 4/3

A = 53.13

Eight less than three times a number is -23

Answers

Answer: 10 is your answer bud ❤

What is the product of 7/8×1/2

Answers

[tex] \frac{7}{8} \times \frac{1}{2} [/tex]

[tex] = \frac{7 \times 4}{8} [/tex]

[tex] = \frac{28}{8} [/tex]

[tex] = \frac{ \cancel{28}}{ \cancel{8}} [/tex]

[tex] = \frac{14}{4} [/tex]

[tex] = \frac{ \cancel{14}}{ \cancel{4}} = \frac{7}{2} [/tex]

The required answer is 7/2

Answer:

7/8 ×1/2=7/16 is your answer

Jenna saves $2,500 per year in an account that earns 10% interest per year, compounded annually. Jenna will have(A $411,234) (B $425,352) (C $449,739) saved in 30 years. Her account balance is a result of Jenna’s(A annuity payments)(B lump-sum payment) .

Answers

Answer:

The answer is $43623.50

Step-by-step explanation:

This problem is on compound interest.

the expression for compound interest is given as

A=P(1+r)^t

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

Given data

P= $2,500

r= 10/100= 0.1

t= 30 years

substituting into the expression for compound interest and solving for A we have

A=2500(1+0.1)^30

A=2500(1.1)^30

A=2500*17.449

A=$43623.50

The final amount is $43623.50

Her account balance is a result of Jenna’s(A annuity payments)

Answer:

b then a

Step-by-step explanation:

neutron style

8 ghosts greet each other with 'Boo!
How many times is the phrase 'Boo! being said?

Hint For three ghosts, Boo
is said 6 times For four ghosts, Boo is
said 12 times!

Answers

Answer:

im pretty sure 16 times

Step-by-step explanation:

well if you look at it there are 8 ghost's. they are going to greet each other, soo. B would say 8x7 because 8 ghost's would say boo to 7 more. soo 8x7=56                        

p.s

sorry if wrong

III. Solve the problems below: 42 boys and 63 girls took part in an art competition.(4 pts) Find the ratio of the number of boys to the number of girls (always in the simplest form). Find the ratio of the number of boys to the number of girls to the total number of children (always in the simplest form).

Answers

Answer:

Ratio of number of boys to girls= 2:3

Ratio of number of boys to girls to total number of children= 2:3:5

Step-by-step explanation:

42 boys and 63 girls took part in an art competition

The ratio of the number of boys to the number of girls can be calculated as follows

= 42/63

= 2:3

The ratio of the number of boys to girls to total number of children can be calculated as follows

= 42/63/105

= 2:3:5

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