Solve the inequality.
-4 < 2x - 6 < 12
[?]

Solve The Inequality.-4 &lt; 2x - 6 &lt; 12[?]

Answers

Answer 1

Hi ;-)

-4 ≤ 2x - 6 ≤ 12

2x - 6 ≥ -4  / + 6

2x ≥ 2  / : 2

x ≥ 1

2x - 6 ≤ 12  / + 6

2x ≤ 18  / : 2

x ≤ 9

1 ≤ x ≤ 9
Answer 2
Treat this as any other inequality and focus on getting the x by itself.

First add 6 to everything to eliminate the -6 in the middle:
-4 + 6 ≤ 2x-6 + 6 ≤ 12 + 6

- 2 ≤ 2x < 18

Then divide everything by 2 to get the 2 off the 2x.

-2 / 2 ≤ 2x / 2 ≤ 18/2

- 1 ≤ x ≤ 9

Related Questions

Jade, May and Nel are saving money in a bank account. May has saved €5 more than Jade. Nel has saved twice
as much as May. The three of them have saved €115 in total. How much did each of them save? (Assume that
Jade saved €x)

Answers

Answer:

Money saved by Jade = € 25

Money saved by  May =   € 30

Money saved by Nel  = € 60

Step-by-step explanation:

Money saved by Jade = € x

Money saved by  May = x + 5

Money saved by Nel = 2* (x + 5) = 2*x + 2*5 = 2x + 10

Total = € 115

x + x + 5 + 2x + 10 = 115

x  + x + 2x + 5 + 10 = 115

Combine like terms

4x + 15 = 115

Subtract 15 from both sides

4x = 115 - 15

4x = 100

Divide both sides by 4

x = 100/4

x = € 25

Money saved by Jade = € 25

Money saved by  May = 25+ 5 = € 30

Money saved by Nel = 2*25 + 10 = 50 + 10 = € 60

Answer:

Jade=€25

May=€30

Nel=€60

Step-by-step explanation:

Since Nel has 2 units, May has one and you do not know Jane but it is only €5 less, you want to plus 5 to make Jane have one unit like May, so:

115+5=120 (4 units)

120 divide 4= 30 (1 unit)

Jade=30-5=€25

May=€30

Nel=30x2=€60

Hope this helps! Thanks.

- 2(5x – 3) > - 54
Solve this problem for 20 points plz!

Answers

Answer:

umm both the same and the tennis courts have a sister in their m

Is the difference of a rational number and an irrational number always irrational? Explain.

Answers

Answer:

Step-by-step explanation:

Yes, the irrational number stays irrational.

Make the assumption that this statement is false and that a rational and an irrational can produce a rational. x is irrational. Assume that a, b, c, and d are all integers.  If you like, they can be relatively prime to each other.

a/b + x = c/d                   Subtract a/b from both sides.

x = c/d - a/b                    Now put the 2 fractions over a common denominator.

x = (c*b - d*a)/(b*d)         Investigate what you have.

b*d are two integers multiplied together. multiplication of integers is closed (the answer will be an integer).

cb and da are also integers. subtracted integers are also closed under subtraction.

But

Here's the kicker. An irrational number is one that cannot be expressed as a fraction. Sqrt(2) for example cannot be shown to be rational. There is no fraction that equals sqrt(2)

So our proof is "bogus." It cannot work. An irrational number excludes the possibility of being able to be represented by a fraction by definition.

5.
For which discriminant is the graph possible?

A. b2 – 4ac = –1
B. b2 – 4ac = 0
C. b2 – 4ac = 4

Answers

C is the only one that will give two real roots (cross the x axis twice)

A has no real roots - the square root of -1 is not real
B has two identical roots - the parabola touches the x axis at one point

Is there any value(s) of the domain of x^2+ y^2=8 that passes the vertical line test? If so, name the value(s) and state whether or not the existence of this value makes this relation a function. You can use Desmos to help you explore this idea, if needed.

Answers

Answer:

below

Step-by-step explanation:

First we need to find the domain.

x^2+ y^2 = 8

√x^2 + √y^2 = √8

x + y = ±2√2

So the domain is ±2√2. If you graph the circle you will see that it will in fact fail the vertical line test, mainly because its a circle. If you graph the domain onto the circle, you will see that it will have an affect on it being a relation. A graph will be shown below for a better reference. Keep in mind that ±2.828 is the decimal form of ±2√2.

Best of Luck!

The PTA sells 100 tickets for a raffle and puts them in a bowl. They will randomly pull out a ticket for the first prize and then another ticket for the second prize. You have 10 tickets and your friend has 10 tickets. What is the probability that your friend wins the first prize and you win the second prize?

Answers

0.0101 = 1.01% probability that your friend wins the first prize and you win the second prize.

-----------------------------------

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

Event A: Your friend wins the first prize.

Event B: You win the second prize.

-----------------------------------

Probability friend wins first prize:

10 out of 100 tickets, so:

[tex]P(A) = \frac{10}{100}[/tex]

-----------------------------------

Probability you win second prize:

There will be 99 tickets remaining(1 has been sorted), you have then of then, so:

[tex]P(B) = \frac{10}{99}[/tex]

-----------------------------------

What is the probability that your friend wins the first prize and you win the second prize?

Multiplication of the probabilities, thus:

[tex]p = P(A) \times P(B) = \frac{10}{100} \times \frac{10}{99} = \frac{10\times10}{100\times99} = 0.0101[/tex]

0.0101 = 1.01% probability that your friend wins the first prize and you win the second prize.

A similar question is given at https://brainly.com/question/22281693

Can someone help me with this?​

Answers

Answer:

Let 'a' be the first term, 'r' be the common ratio and 'n' be the number of terms

Series = 2+6+18.......= 2+2•3¹+ 2•3².......= 728

Now,

[tex]Sum = \frac{a( {r}^{n} - 1) }{(r - 1)} \\ [/tex]

So,

[tex] \frac{a( {r}^{n} - 1)}{(r - 1)} = 728 \\ \frac{2( {3}^{n} - 1) }{(3 - 1)} = 728 \\ \frac{2( {3}^{n} - 1) }{2} = 728 \\ {3}^{n} - 1 = 728 \\ {3}^{n}=728+1\\ {3}^{n} = 729 \\ {3}^{n} = {3}^{6} \\ \boxed{ n = 6}[/tex]

Therefore, number of terms is 6

6 is the right answer.

Its a GP given by 2+6+18

First term=a=2

Common ratio=r=

[tex]\\ \bull\tt\looparrowright \dfrac{6}{2}=3[/tex]

Now

[tex]\\ \bull\tt\looparrowright S_n=728[/tex]

[tex]\\ \bull\tt\looparrowright \dfrac{a(r^n-1)}{r-1}=728[/tex]

[tex]\\ \bull\tt\looparrowright \dfrac{2(3^n-1)}{3-1}=728[/tex]

[tex]\\ \bull\tt\looparrowright \dfrac{2(3^n-1)}{2}=728[/tex]

Cancel 2

[tex]\\ \bull\tt\looparrowright 3^n-1=728[/tex]

[tex]\\ \bull\tt\looparrowright 3^n=728+1[/tex]

[tex]\\ \bull\tt\looparrowright 3^n=729[/tex]

[tex]\\ \bull\tt\looparrowright 3^n=3^6[/tex]

[tex]\\ \bull\tt\looparrowright n=6[/tex]

I need these in slope intercept form​

Answers

Answer:

y = 5/2 x

Step-by-step explanation:

2m + c = 5

4m + c= 10

__________-

-2m = -5

m = 5/2

c = 0

so, the equation in slope intercept form : y = mx + c

y = 5/2 x + 0

y = 5/2 x

Answer:

y = 5/2 x

Step-by-step explanation:

2m + c = 5

4m + c= 10

__________-

-2m = -5

m = 5/2

c = 0

so, the equation in slope intercept form : y = mx + c

y = 5/2 x + 0

y = 5/2

hey please help i’ll give brain

Answers

Answer:

14 is the correct answer. It is just the inverse of 5+9 but it equals the same

Step-by-step explanation:

It’s 14, it’s just inverse operation

Please help explanation if possible

Answers

Answer:

x=-2 y=3

Step-by-step explanation:

you should multiple second equation by -5 and collect all terms then put -2 from x

The answer to this equation is 3

Is 4.357216436 rational

Answers

Answer: It is a rational number.

Step-by-step explanation: Because rational numbers can also be terminating decimals.

please help easy maths

Answers

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

The y intercept occurs when x = 0.

All you have to do is read the table until you come to x = 0.

When you do, read down to get the y value.

The answer is A (0,2)

HELPP PLSSS!!! When factoring a number, you can use _[blank 1] as a shortcut. For example, you can tell if 5 is a factor of a number if _[blank 21- Match each blank with the option that correctly fills in that blank. blank 2 blank 1 .: it is even .: divisibility rules :: its last digit is 0 or 5 :: the sum of its digits is a multiple of 3 * long division guessing and checking​

Answers

Answer:

blank 1: divisibility rules

blank 2: its last digit is 0 or 5

8 216 899 (nearest million)​

Answers

Answer:

8 milliom

Step-by-step explanation:

its ez

8 million is the nearest

M decreased by 1??????

Answers

Answer:

Step-by-step explanation:

Ssssyiijnbrr

Colin, Michael, and John are among 15 singers
in the community choir. Three members of the
choir will be selected at random to sing the
national anthem at the next city council meeting.
What is the probability that Colin, Michael, and
John will be the 3 singers chosen?
A.
1/910

B.
2/1125

C.
1/455

D.
1/5

Answers

Answer:

OPTION D

NO. OF SINGERS=15

NO. OF FRIENDS =3

THERE PROBABILITY =3/15=1/5

Intersection of 2 lines form a

Answers

Answer:

i believe that`s called a linear pair. the opposite sides of the lines create matching angles.

5 less than the difference of a number f and 35

Answers

Answer:

See below.

Step-by-step explanation:

There are 2 options in finding the difference between f and 35, as you did not state in the question which if the 2 is the larger number.

(f-35)-5=f-35-5

=f-40

OR

(35-f)-5=35-f-5

=30-f

what is the length of the diameter ?

Answers

Answer:

you can measure it in ruler

Solve for z.

6.6 = 3(z − 16.9) − –0.6

z =

Answers

Answer:

z = 18,9

Step-by-step explanation:

[tex]6.6 = 3(z - 16.9) - - 0.6[/tex]

[tex]6.6 = 3z - 50.7 - ( - 0.6)[/tex]

[tex]6.6 = 3z - 50.7 + 0.6[/tex]

[tex]6.6 = 3z - 50.1[/tex]

[tex]6.6 - 3z = - 50.1[/tex]

[tex] - 3z = - 50.1 - 6.6[/tex]

[tex] - 3z = - 56.7[/tex]

[tex]z = 18.9[/tex]

line q passes through points (10, 6) and (1, 2). Line r is perpendicular to q. What is the slope of line r?

Answers

Answer:

slope of r = -9/4

slope of Q =     4/9  

Step-by-step explanation:

x1 y1  x2 y2

10 6  1 2

   

(Y2-Y1) (2)-(6)=   -4  ΔY -4

(X2-X1) (1)-(10)=    -9  ΔX -9

   

slope=   4/9    

2x+7y=-6
4x-y=18\
show step by step how it is solved

Answers

Answer: (60/13, 6/13)

Concept:

There are three general ways to solve systems of equations:

Elimination SubstitutionGraphing

Here, we are going to use elimination since all the variables are in the corresponding position.

Solve:

Given

[tex]\left \{ {{2x+7y=-6} \atop {4x - y=18}} \right.[/tex]

Multiply the first equation in order to eliminate [x]

[tex]\left \{ {{4x + 14y = -12} \atop {4x - y = 18}} \right.[/tex]

Subtract the second equation from the first equation to eliminate [x]

[tex]14y-y=-12+18[/tex]

[tex]13y=6[/tex]

Divide 13 on both sides

[tex]13y/13=6/13[/tex]

[tex]\boxed{y=\frac{6}{13} }[/tex]

Substitute [y] value in order to get [x] value

4x - y = 18

4x - 6/13 = 18

4x = 18 + 6/13

4x = 240/13

[tex]\boxed{x=\frac{60}{13} }[/tex]

Hope this helps!! :)

Please let me know if you have any questions

3 If 5 is added to the difference of 3 times of 4 and 7 then find the number.​

Answers

Answer: 10

Concept:

There are few vocabularies that describe each operation:

Addition: added to, the sum of, plusSubtraction: subtracted from, the difference of, minusMultiplication: multiplied with, the product of, timesDivision: divided by, the quotient of, divide

Refer to the list above to answer the question

Solve:

Given worded expression

5 is added to the difference of 3 times of 4 and 7

Convert to numerical expression

3 × 4 - 7 + 5

Simplify by multiplication

=12 - 7 + 5

Simplify by addition/subtraction

=5 + 5

=[tex]\boxed{10}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

3(b − 6) = 9

b =
The test is timed

Answers

Answer:

b = 9

Step-by-step explanation:

3(b − 6) = 9

3b - 18 = 9

3b = 9 + 18

3b = 27

b = 9

Answer:

b = 9

Step-by-step explanation:

[tex]3(b - 6) = 9[/tex]

[tex]3(b - 6) \div 3 = 9 \div 3[/tex]

[tex]b - 6 = 9 \div 3[/tex]

[tex]b - 6 = 3[/tex]

[tex]b - 6 + 6 = 3 + 6[/tex]

[tex]b = 3 + 6[/tex]

[tex]b = 9[/tex]

what is cos 0 when sin 0 = 2/5

Answers

Answer:

cos 0 = 1

.................

Convert 5420 into base five numeral​

Answers

i think its the answer

HELPP QUICK PLS
ILL GIVE BRAINLIEST

Answers

Answer:Part A: 13

Step-by-step explanation: look at the graph

one half of a number plus 7

Answers

Answer:

1/2n + 7

n =  unkown number

Step-by-step explanation:

Answer:

1/2(x) + 7

Step-by-step explanation:

x= unknown number

(1)
What is the interest on Rs.1880.90 for one year at simple
interest 5 1/2
%?

Answers

Formula for simple interest = total = start value x ( 1 + interest rate x time)

Total = 1880.90 x ( 1 + 0.055 x 1)

Total = 1,984.35

Interest = total - starting amount

Interest = 1984.35-1880.90 = 103.45

Interest: £103.45

Answer:

Given :-

Perimeter = 1880.9

Time = 1 years

Rate = 5 (½) years

To Find :-

Interest

Solution :-

SI = PRT/100

5½ = 11/2 %

» SI = 1880.9 × 11 × 1/2 × 100

» SI = 1880.9 × 11/200

» SI = 103.4

350 rounded to the nearest hundred is

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{350 rounded to the nearest hundred is...}[/tex]

[tex]\huge\text{Rounding is basically is the}\\\huge\text{approximation of the given number.}[/tex]

[tex]\huge\bullet\huge\text{ So, when you are looking at 350, you are}\\\huge\text{asking yourself is it closer to 300 or 400.}\\\huge\text{If you are looking at the number correctly}\\\huge\text{you would see it is closer to \underline{\underline{400}} when you}\\\huge\text{rounded to NEAREST HUNDRED.}[/tex]

[tex]\huge\boxed{\textsf{Therefore, your ANSWER/RESULT is: \bf 400}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

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