What is the solution set for
2|x -3| = 12?
A) No solution
B) {-9,9}
C) (-3,9)
D) {-9,3)

Answers

Answer 1

Answer: C. (-3, 9)

Step-by-step explanation:

Given

2|x-3|=12

Divide both sides by 2

2|x-3|/2=12/2

|x-3|=6

Take of absolute value sign (REMEMBER need to take into consideration of two conditions)

x-3=±6

1)x-3=6

     x=9

2)x-3=-6

      x=-3

**NOTE**: need to check each solution whether or not they are suitable

Hope this helps!! :)

Please let me know if you have any questions


Related Questions

Suppose the probability of two people in your class having the same birthday as 0.50 what are the odds of two people having the same birthday

Answers

Answer:

99.9%

Step-by-step explanation:

What is the equation of the circle, with center (4, 2) and radius 5 units?

Answers

Answer:

Step-by-step explanation:

Let us begin by just getting the equation of the circle first.

(x - 4)^2 + ( y - 2)^2 = 5^2

(x - 4)^2 + ( y - 2)^2 = 25

Now I'm going to graph that equation and discuss it here.

I have graphed the second equation above.Notice that the center is at (4,2) just as the question requested.A second point was put at (4,7). That was to show you that the radius is 5 units. You can calculate that it is 5 units by noticing that 7 - 2 = 5 So the distance from the center to (4,7) is 5 units which is the amount of the radius.Notice that the numbers representing the center have been reversed in sign. That is always done for a circle. The center's coordinates are always the negative of the coordinates given. You will be told why later.

1 1/4 x 1 1/3 plsss help

Answers

Answer:

exact form: 5/3

decimal form: 1.6 (6 is repeating)

mixed number form: 1  2/3

Step-by-step explanation:

Answer:

1 2/3

Step-by-step explanation:

1 1/4 x  1 1/3 = 5/4 x 4/3 = (5x4)/(4x3) = 20/12 = 5/3 = 1 2/3

a rectangular window is 36 inches long and 24 in wide. tammy would like to buy a screen for the window. because of the screen is based on the number of square feet the screen is use the fraction to find the area of the window in square feet.

Answers

Answer:

144 Sq

Step-by-step explanation:

The area of the rectangle formula is Length x Width. Given 4 ft and 3 ft, we can find the area. The screen would be 12 Sq. Feet since the question is asking for inches we must now convert this.

Write the recurring decimal 0.25 as a fraction in its simplest form

Answers

Answer:

1/4 because 25% is a quarter.

Please HELP FAST!!!!

Answers

Answer: b

Step-by-step explanation:

Click the score on the graph where you think the
balancing point would be for this data.

Answers

Answer:

The balancing point is 23

Step-by-step explanation:

Given

The above graph

Required

Determine the balancing point

This simply means that we calculate the mean.

From the above graph, we have:

[tex]\begin{array}{cc}x & {f} & {21} & {3} & {22} & {5} & {28} & {1} & {29} & {1}\ \end{array}[/tex]

So, the mean is:

[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]

[tex]\bar x = \frac{21*3+22*5+28*1+29*1}{3+5+1+1}[/tex]

[tex]\bar x = \frac{230}{10}[/tex]

[tex]\bar x = 23[/tex]

Hence, the balancing point is 23

Is this a Percent Increase or Decrease Problem?
Kemyah bought a necklace for $260 that was marked
up by 30%.

Answers

Answer:

increase

Step-by-step explanation:

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

Answer:

Percent Increase

Step-by-step explanation:

Percent Increase because if the necklace was bought for $260, and was marked up by 30%, it means it was originally a lower price, that was multiplied by 130%.

Explanation by algebra:

x + 0.30x = 260

1.3x = 260

x = 260/1.3

x = 200

The necklace was originally $200, and it was marked up by 30$, making it $260.

Out of a total of N students at a school, the number of students who have seen a new television program increases at a rate proportional to the product of the number of students who have seen the program and the number of students who have not seen the program. If S denotes the number of students who have seen the program at time t, which of the following differential equations could be used to model this situation, where k is a positive constant?
a. ds/dt = KS
b. ds/dt = kt(N-t)
c. ds/st = KS(N-S)
d. ds/dt = KS(S-N)

Answers

Answer:

ds/dt = kN(N-S)

Step-by-step explanation:

Given

Total number of student = N

number of students who have seen the program = S

Number of students who have not seen the program = N-S

The product of the number of students who have seen the program and the number of students who have not seen the program = N(N-S)

If the rate of number of students who have seen a new television program increases at a rate proportional to the product of the number of students who have seen the program and the number of students who have not seen the program, then:

ds/dt = kN(N-S)

k is the proportionality constant

Determine the amplitude or period as requested . Amplitude of y = - 1/3 * sin x

Answers

Answer: amplitude and period are two different things. The amplitude is -1/3, and the period is 360 degrees.

Step-by-step explanation: to find the amplitude, you just look at what number is in front of sin. If there isn't one, an amplitude of 1 is implied (in this case. Keep in mind that different functions have different standards).

To find the period, you take term b (which is what comes after sin). In this case, b is 1 because there's no specific number there. Again, it's implied. Because this is sin and not tan, for example, you take 360/b=period. 360/1=360 degrees.

can anyone help me please

Answers

part a) HI = 8 because the little arc on each angle indicated they are all equal lengths. So if GH is 8, HI is also 8.
part b) measure of angle K is 110 degrees because if we know that LK and KJ are both 11 on the side, the angles should be equal, so angle L should also be 35 degrees. Once we know two angles, just subtract them from 180 to find the third angle.
180-35-35 = 110

x-1 = 9

one step equation​

Answers

Answer:

x=10

Step-by-step explanation:

x-1 = 9

add 1 on both side

x-1+1=9+1

x=10

Answer:

The answer would be 10

Step-by-step explanation:

1) Add 1 to both sides.

[tex]x = 9 + 1[/tex]

2) Simplify 9 + 1 to 10.

[tex]x = 10[/tex]

Hence, the answer would be 10.

x = 10

no links or you will not get brainlest. plz help

Answers

Answer:

3,384

Step-by-step explanation:

Answer:

3,384

Step-by-step explanation:

I need 1 Brainliest before I can become expert

Solve the equation
16x2 + 4x + 1 =0​

Answers

Answer:

X= -33/4

     

Step-by-step explanation:

N
A wheel of diameter 49 cm made some complete turns and covered a distance of
924 cm. How many complete turns did it make? (Take T = ..)
22
49 cm
-924 cm
Card
22​

Answers

Answer:

6turns

Step-by-step explanation:

Circumference= 1turn

Circumference=πd

22/7 × 49

=154cm

1turn =154cm

?=924cm

924÷154=6turns

Which values should you plot to show a linear relationship?
Month Population
Log(population)
1
1400
3.146
2
2600
3.415
3
4700
3.672
4
9000
3.954
5
17000
4.230
6
32000
4.505
O A. "Population on the x-axis and "Log(population)" on the y-axis.
O B. "Month" on the x-axis and "Population" on the y-axis.
w
O C. "Month" on the x-axis and "Log(population)" on the y-axis.
O D. "Log(population)" on the x-axis and "Month" on the y-axis.

Answers

Answer:“ C ”

“month” on the x axis and “log” on the y axis

Determine the lateral and surface area of each triangular prism


Answers

Answer:

Step-by-step explanation:

lateral surface area=(sum of sides)×height

Total surface area =2×base area +lateral area

ILL GIVE THE BRAINLIEST pls help me with this question just tell me which one is the right answer you can show your work if you want to you don't have to EVERYTHING IS IN THE PICTURE PLS HELP DUE TODAY ​​

Answers

Answer:

ans is 504m²

Step-by-step explanation:

given = side of square=18m

height of triangle=12m

formula= surface area of square + surface area of 4 triangles

surface area of square = 4 × length

= 4×18

=72m²

surface area of triangle = 1/2×base ×height

= 1/2×18×12 ( the base lies on the side of the squre so the base is also 18m)

= 108m²

therefore, surface area of 4 triangles = 4×108=432m²

therefore the surface area of the given figure= surface area of aquare + surface area of the 4 triangles

surface area of square= 72 +432

=504m²

Can any body help me and no links

Answers

Answer:

C

Step-by-step explanation:

7.67 is greater than 7.66666...

If $a$, $b$, $c$, and $d$ are replaced by four distinct digits from $1$ to $9$, inclusive, then what's the largest possible value of the difference $a.b - c.d$ ?

Answers

Answer:

Correct answer is 18.3Dollar replacement 70

Step-by-step explanation:

Correct answer

Given that a, b, c, and d are different numbers (from 1 to 9), we are to find the largest possible value of a.b + c.d.

This problem can be answered by trial and error and with some logic. Clearly, a to d cannot be at the lower end of the values (1 to 5). Since the digits must be different, it can be a combination of digits from 6 to 9.

It is rather tempting to say that the 9.8 + 7.6 would yield the highest possible sum (=17.4) but this is incorrect. Since it is the sum of two numbers with a decimal, we have to maximize on the one-digit first before maximizing the tenths digit. Therefore: the combination of numbers must then be:

9.7 + 8.6 which results to 18.3

9.6 + 8.7 yields 18.3 as well.

Dollar replacement

For the value of the difference to be largest, the minuend should be maximum(most possibly) and the subtrahend should be minimum

[in A-B=X, A is minuend and B is subtrahend ]

So, $a.b should be the maximum. as there is a condition that 4 digits should be distinct, the product will be maximum if we choose 2 maximum valued numbers from the given numbers. so, one of them should be 9 and the other should be 8.

Therefore, $a.b=9*8=72

As mentioned above, c.d$ should be minimum. this will be possible only when we choose  2 minimum valued numbers from the given numbers. so, one of them should be 1 and the other should be 2.

Therefore, c.d$ = 1*2 = 2

Hence, the difference = 72-2 = 70

Thus,  the largest possible value of the difference $a.b - c.d$ = 70

Answer:

8.6

Step-by-step explanation:

The units digits matter most, so we make a as large as possible (a=9) and make c as small as possible (c=1). Then we can use any of the digits from 2 through 8. We still want b as large as possible and d as small as possible so we set b=8 and d=2. This gives a maximum possible difference of 9.8 - 1.2 = 8.6.

I hope this helped!

17. Stella is competing in a diving competition. Her height in feet above the water is
modeled by the function h=-16t? + 8t + 48, where t is the time in seconds after she jumps
from the diving board. At what time will Stella land in the water? (Round to the nearest
hundredth, if necessary.)

Answers

9514 1404 393

Answer:

  after 2 seconds

Step-by-step explanation:

We want to find t such that h = 0.

 0 = -16t² +8t +48

  0 = 2t² -t -6 . . . . . . . divide by -8

  0 = (t -2)(2t +3) . . . . factor

The only positive solution is t = 2, which makes the first factor zero.

Stella will land in the water at t = 2 seconds.

help me with this man​

Answers

Answer:

Point J - Quadrant I

Point F - Quadrant II

Point P - Quadrant III

Point T - Y-axis

Step-by-step explanation:

Answer:

F: Quadrant II

J: Quadrant I

P: Quadrant III

T: y-axis

Step-by-step explanation:

Brainliest Please!!

PLEASE HELPPPP



Simplify: 2/3 -(6 + 3x) + 3 (x - 1)

Answers

Answer:

-25/3, or - 8 1/3

Step-by-step explanation:

many steps

2/3 + - (6+3x)/1 +3 (x-1)

- (6+3x)/1 *3/3* 2/3+ -(6+3x)/1 * 3/3 + 3 (x-1)

- (6+3x/1* 3/3* 2/3+ -(6+3x)*3/3 +3(x-1)*3/3

2-(6+3x)*3+3(x-1)*3/3

2+ (-1*6 - (3x)0 * 3+3 (x-1)*3/3

-1*6*2+(-6-(3x))*3+3(x-1)*3/3

3* -1 *2 + (-6-3x) *3+3 (x-1) *3 / 3

3*-1 * 2+(-6-(3x)) *3+3(x-1)*3/3

2-6*3x*3+3(x-1)*3/3

-6*3*2-18-3x*3+3(x-1)*3/3

3*-3*2-18-9x+3(x-1)*3/3

In the spinner below, what is the probability of landing on 5?
A.2/6
B.1/4
C.1/8
D.1/12

Answers

1/4
Pretty sure I hope so

A diamond retailer buys a ring from his supplier
for $875. He marks up the price 110% to sell in
his store. What is the selling price of the
diamond with a 6% sales tax?

Answers

Answer:

nerd is 18

Step-by-step explanation:

xsas

Answer: $1,947.75

Step-by-step explanation: First, the mark up is 110% of the total, which is $875. 110% of 875 is $962.50, which you add to the total ($875) since it is mark up. $962.50 + $875 = $1837.50. Finally, 6% of $1837.50 is $110.25 so you add this to your new price ($1837.50) since the 6% is the sales tax. $1837.50 + $110.25 = $1947.75

HELP THIS IS DUE
Solve the linear equation and figure out whether it’s one solution, infinite or no solution include steps
3/4x -7 = 3 (1/6x +1)

Answers

Answer:

Includes Steps

Step-by-step explanation:

3/4x-7 =3(1/6x+1)

3/4x-7=3/6x +3

1/4x=10

x=40

In a bag are 3 red, 9 blue, 2 yellow and 3 green marbles. If you draw out a marble at random, what the probability that you will draw a blue marble? P(blue)

Question 2 options:

3/17


9/17


2/17


14/17

Answers

Answer:

9/17

Step-by-step explanation:

there are 17 marbles in total 9 of them are blue therefore, 9/17 is the correct answer

Can someone tell
Me how to do this

Answers

the answer is c hope that helps!!

a ribbon is 4m long. how many pieces each of 30cm long can be cut from the ribbon​

Answers

9514 1404 393

Answer:

  13

Step-by-step explanation:

4 m is 400 cm, so the number that can be cut is ...

  (400 cm)/(30 cm/piece) = 13 1/2 pieces

13 pieces can be cut that are 30 cm long.

Answer:

13 whole pieces

Step-by-step explanation:

4m=400cm

400cm÷30cm=13.333333

you can't get 0.33333333(goes on forever) of a ribbon so its 13

hope this helps:)

If there are 36 boys and 48 girls in a room, fill out all of the possible ratios of boys to girls that could be made.

Answers

Answer:

ans

Step-by-step explanation:

possible ratios are 3:4,9:12 and 18:24

Mark me as a brain list please

Answer:

Step-by-step explanation:

12:9

8:6

4:3

16:12

24:18

48:36

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