Given the ficción f(x)=3|x-2|+6, for what valúes x is f(x)=18

Answers

Answer 1

Answer:

x = -2 or x=6

Step-by-step explanation:

Given

f(x) = 3Ix-2I + 6

As we know that

f(x) = 18

Putting both equal

3Ix-2I+6 = 18

Two cases are possible

Case 1: Negative Modulus

3* -(x-2) + 6 = 18

3(-x+2)+6 = 18

-3x+6+6 = 18

-3x +12 = 18

-3x = 18 - 12

-3x = 6

x = 6/-3

x = -2

Case 2: Positive Modulus

3(x-2)+6 = 18

3x-6+6 = 18

3x = 18

x = 18/3

x = 6

So for x= -2 or x=6 the value of function will be 18..


Related Questions

Plz help god blees if you do it all i will give u BRAINLIEST

IF YOU DO ONE THAT WILL NOT BE HELPING AND I WILL REPORT YOU!!!!!!!!!! 3 to dooooo

Answers

Answer:

1st pic: Answer is 3

2nd pic: Answer is 5

3rd pic: Answer 4

Step-by-step explanation:

HELP You are gathering data in the cafeteria, recording the time required for students to get through the line. The data you gather is
A) measurement data.
B) categorical data.
C) random data.
D) bivariate data.

Answers

Answer: A) Measurement Data

Step-by-step explanation:

you're recording time

Carlos Can choose from a beef or turkey burger and from a wheat or white roll. How many different burgers can he make

Answers

The correct option is C.

Carlos can make 4 different burgers by choosing between beef or turkey and wheat or white roll.

To calculate the number of different burgers Carlos can make, we'll use the fundamental principle of counting.

Step 1: Determine the number of options for the type of burger. Carlos can choose either beef or turkey, so there are 2 options.

Step 2: Determine the number of options for the type of roll. Carlos can choose either wheat or white, so there are 2 options.

Step 3: Multiply the number of options for each step together to find the total number of combinations.

Number of burger options × Number of roll options = Total combinations

2 options for type of burger × 2 options for type of roll = 4 total combinations

So, Carlos can make 4 different burgers.

Answer: C. 4

The complete question is here:

Carlos can choose from a beef or turkey burger and from a wheat or a white roll. How many different burgers can he make?

A. 8

B. 3

C. 4

D. 2


Devon spends $10 for each shirt he produces, and he has fixed costs of $500. If the store makes 100 shirts, how much should the store charge for each shirt in order to break even?

Answers

They should sell them for 5 dollars

Answer:

15

Step-by-step explanation:

PLZZZZ HELP SIMPLE MATHS!!?
Use approximation to estimate the value of (316*4.03)/0.198
Show your working

Answers

Answer:

About 6400

Step-by-step explanation:

Round all values: 316 --> 320, 4.03 --> 4, 0.198 --> 0.2

Expression: 320*4/0.2

Multiply: 320*4 = 1280, 1280/0.2

Divide: 2180/0.2 = 6400

316 times 4.03 equals 1273.48 then divide the product by 0.198 and you should get 6431.71717 and could round to 6432. sorry if this is wrong but have a wonderful day

How do you write in equation of a line so that it is parallel or perpendicular to a given point in a given line

Answers

Answer:

Step-by-step explanation:

If you're given a line, determine its slope.

Any parallel line you construct must have the same slope as does the given line.

Any perpendicular line you construct must have a slope which is the negative reciprocal of the slope of the given line.

Parallel lines have the same slope.

And perpendicular lines have negative reciprocal slopes. Ex. 2/3 x and -3/2x

The surface area of a regular pyramid with a square base which has a slant height of five units and base side lengths of nine units is:

Answers

Answer:

171 sq units.

Step-by-step explanation:

Since you don't specify you want a the side surface area only, we'll calculate both.

First, the base...

We have a square with a side of 9 units.

Area of the base is then 9 x 9 = 81 sq units.

For the sides, we have 4 triangles with a base of 9 and a height of 5 units.

The area of a triangle is calculated with A = (b * h)/2

So, each of the sides of the pyramid has an area of:

A = (9 * 5) / 2 = 22.5 sq units

There are four sides, so total lateral area: 4 * 22.5 = 90 sq units.

Total area: 81 + 90 = 171 sq units.

Write standard form
5+0.5+0.03+0.006

Answers

Answer:

5.5360

Step-by-step explanation:

I added

5+0.5= 5.5

5.5+0.03=5.53

5.53+0.006=

5.5360

The answer will be 5.5360

the radius of the circle x^2+y^2 +px+6y-3=0 is 4. find the possible values of p​

Answers

Here, the given equation is,

x^2+y^2+px+6y-3=0

By copairing it with x^2+y^2+2gx+2fy+c=0, we get,

2g=p or, g=p/2

2f=6 or, f=3

c=-3

now the radius is,

r^2=g^2+f^2-c

or, 4^2=(p/2)^2 +3^2 -(-3)

or, 16= p^2/4 +9+3

or, 16-9-3=p^2/4

or p^2/4=4

or, p^2=4×4

or p^2=4^2

or p=4

therefore the rewuired value of p is 4.

Answer:

Possible values are 4 and -4.

Step-by-step explanation:

First complete the square on the x and y terms:

x^2 + y^2 + px + 6y - 3 = 0

(x + 0.5p)^2 - 0.25p^2 + (y + 3)^2 - 9 - 3 = 0

(x + 0.5p)^2 + (y + 3)^2 = 12 + 0.25p^2

This is the standard form of the equation of the circle where the right side = radius^2 so we can write:

12 + 0.25p^2 = 4^2

0.25p^2 = 16 - 12 = 4

Taking square roots:-

0.5p = +/- 2

p = 2 / 0.5 , -2 / 0.5

p = 4, -4.

1\4(8-4p)+2p=12 what is the value of p​

Answers

For this case we have the following equation:

[tex]\frac {1} {4} (8-4p) + 2p = 12[/tex]

We apply distributive property to the terms within parentheses.

[tex]\frac {8} {4} - \frac {4p} {4} + 2p = 12\\2-p + 2p = 12\\2 + p = 12[/tex]

Subtracting 2 on both sides of the equation:

[tex]p = 12-2\\p = 10[/tex]

ANswer:

[tex]p = 10[/tex]

Answer:

p = 10

Step-by-step explanation:

1\4(8 - 4p) + 2p = 12

8 - 4p/4 + 2p = 12

8 - 4p + 8p/4 = 12

8 + 4p = 12 × 4

4p = 48 - 8

4p = 40

p = 40/4

p = 10

Thus, the value of p is 10

2. What is the center and the radius of a circle given by the equation
x2 + y2 + 4x - 10y + 20 = 0?
A.(-2,5) and r=square root of 25
B.(2,-5) and r=square root of 20
C.(-2,5) and r=3
D.(2,-5) and r=3

Answers

Answer:

C

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

Given x² + y² + 4x - 10y + 20 = 0

Collect x and y terms and subtract 20 from both sides. that is

x² + 4x + y² - 10y = - 20

To obtain standard form use the method of completing the square

add ( half the coefficient of the x/y term )² to both sides

x² + 2(2)x + 4 + y² + 2(- 5)y + 25 = - 20 + 4 + 25

(x + 2)² + (y - 5)² = 9 ← in standard form

with centre = (- 2, 5) and r = [tex]\sqrt{9}[/tex] = 3 → C

Final answer:

By rearranging the given equation to match the standard form of circle equation, we can determine the center of the circle to be (-2,5), and the radius to be 3.

Explanation:

The equation provided can be rewritten in the form (x - h)² + (y - k)² = r², wherein (h, k) denote the center coordinates of the circle, and r is the radius. To arrange it in this form, we group terms to complete the square for both x and y:

x² + 4x + y² - 10y = -20

⇒ (x² + 4x + 4) -4 + (y² - 10y + 25) - 25 = -20

⇒ (x + 2)² + (y - 5)² = 9

With this, we can identify the center of the circle to be at point (-2,5), and the radius is the square root of 9 which equals to 3. Hence, the correct answer is option C.

Learn more about Circle Equation here:

https://brainly.com/question/36026103

#SPJ3

You purchase a piggy bank ($1.34) you hand the cashier a five dollor bill. What will your change be?​

Answers

Answer:

$3.66

Step-by-step explanation:

5 minus 1.34 equals 3.66.

You just have to subtract the bill and the change like this: 5-1.34= 3.66$

PLEASE HELP!!!!!!!!!!!
What is x
A: 35
2:135
3: 45
4:55

Answers

the sum of all interior angles in a polygon is

180(n - 2)

n = number of sides in the polygon

this polygon has 5 sides, so is a PENTAgon, so the sum of all its sides is

180(5 - 2) => 180(3) =>  540

so then

[tex]\bf 90+148+(3x+10)+(x)+112=540\implies 360+4x=540 \\\\\\ 4x=180\implies x=\cfrac{180}{4}\implies x=45[/tex]

PLEASE HELP RIGHT AWAY

Answers

Answer:

C; 117,147

Step-by-step explanation:

Its 3(n-1)

Just multiply the first term by 3, 12 times.

Answer: 177,147

Step-by-step explanation: this is because a1 is 1 then a2 is 3 then a3 is 9 then a4 is 27 and so on. This means that you start at 3 to the 0th power and multiply 3 as you go on

98 POINTS The total cost of a boat rental includes the price per hour plus the cost of one full tank of gas. The table below represents the boat rental fees.


No. of Hours 2 4 6 8

Rental Fee $79 $125$171 $217


What is the cost for a full tank of gas?

A.

$23

B.

$33

C.

$46

D.

$217



PLZ ANSWER BRAINLISET AND ALOT OF POINT

Answers

the correct answer is b.33

Answer:

b

Step-by-step explanation:

What is the answer please help me

Answers

Answer:

L=10 cm

Step-by-step explanation:

Surface area of cube = 600

6L^2=600

L^2=600/6

L^2=100

L=

[tex] \sqrt{100} [/tex]

L=10 cm

The school enrollment for Oakwood Elementary is shown in the graph. If the pattern continues, what will the school enrollment be in 2012? Question 19 options: 500 525 550 575

Answers

Answer:

The answer is 525

Answer:

Option B. 525 students.

Step-by-step explanation:

The school enrollment for Oakwood Elementary is shown in the graph.

The given graph is representing a linear function. So we will form the function first to calculate the enrollment in 2012.

Equation of the given line in the graph will be in the form of y = mx + c

where m is the slope and c = y- intercept

y-intercept = 300

this line passes through two ordered pairs (0, 300) and (1, 325)

Now the slope m = [tex]\frac{y-y'}{x-x'}[/tex]

m = [tex]\frac{325-300}{1-0}=25[/tex]

Therefore, equation representing the situation will be y = 25x + 300

Now we will put the value of x = year 2012 - year 2003 = 9 years

y = 25×9 + 300

y = 225 + 300

y = 525

Option B. 525 is the correct option.

ΔABC has three sides with these lengths: AB = 9, BC = 40, and CA = 41. What is the value of cos C?

Answers

Answer:

[tex]cos(C) =\frac{40}{41}\\\\cos(C)=0.976[/tex]

Step-by-step explanation:

To find the [tex]cos (C)[/tex] we must use the cosine theorem.

The cosine theorem says that:

[tex]c^2 = a^2 +b^2 -2abcos(C)[/tex]

In this case:

[tex]c=AB = 9[/tex]

[tex]b=CA = 41[/tex]

[tex]a=BC = 40[/tex]

So

[tex]9^2 = 40^2 +41^2 -2(40)*(41)cos(C)[/tex]

[tex]9^2- 40^2- 41^2 =-2(40)*(41)cos(C)[/tex]

[tex]cos(C) = -\frac{9^2- 40^2- 41^2}{2(40)*(41)}[/tex]

[tex]cos(C) =\frac{40}{41}\\\\cos(C)=0.976[/tex]

Answer:

C I got this question right on my test that I just finished.

Step-by-step explanation:

Also I just wanted to say that I am praying for all those with the virus and we are all in this together #WorldUnited :):):):)

Can y’all answer the question for me please

Answers

Answer:

Step-by-step explanation:

Jndjd

Njxjdh

Ndjdjjf

Mjd

490x9 this is because he traveled 490 miles everyday for 9 days

+1292 then he travels an extra 1292 miles so you add it on

6= -s + 77
Given the above equation, what is the value of
1 + 5(77 - s)?

Answers

Answer:

[tex]\boxed{\bold{31}}[/tex]

Explanation:

Solve [tex]\bold{6= -s + 77}[/tex]

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

Add 's' To Both Sides

= [tex]\bold{6+s=-s+77+s}[/tex]

Simplify

= [tex]\bold{6+s=77}[/tex]

Subtract 6 From Both Sides

= [tex]\bold{6+s-6=77-6}[/tex]

Simplify

= [tex]\bold{s \ = \ 71}[/tex]

Insert '71' Into 1 + 5 (77 - s)

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

1 + 5 (77 - 71)

Solve:

77 - 71 = 6

= 1 + 5 · 6

5 · 6 = 30

= 1 + 30

= 31

Mordancy.

Answer:

1 + 5(77 - s) = 31

Step-by-step explanation:

Solve for s:

[tex]-s+77=6\qquad\text{subtract 77 from both sides}\\\\-s=-71\qquad\text{change the signs}\\\\s=71[/tex]

Put the value of s to the expression 1 + 5(77 -s):

[tex]1+5(77-71)[/tex]

Use PEMDAS:

P Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

[tex]=1+5(6)=1+30=31[/tex]

The value of -8/15 . 20/24 is?




FOR 25PTS! i need help ASAP!

Answers

Answer:

Step-by-step explanation:

Do you mean multiply?

- 8/15 * 20/24

- 8/15 * 5/6

5 and 15 have a common divisor -- 5

- 8/3 * 1 / 6

8 and 6 can be divided by 2.

-4/3 * 1/3

-4 / 9

====================

You could do the same thing without cancellation.

-8/15 * 20/24 = -160 / 360    

Now you can divide by common factors. Start by dividing top and bottom by 10

- 16 / 36            Now divide top and bottom by 4

- 4 / 9

At a particular restaurant, each slider has 250 calories and each chicken wing has 60 calories. A combination meal with sliders and chicken wings has a total of 12 sliders and chicken wings altogether and contains 1100 calories. Determine the number of sliders in the combination meal and the number of chicken wings in the combination meal.

Answers

Final answer:

To find the number of sliders and chicken wings in the combination meal, set up a system of equations and solve. There are 2 sliders and 10 chicken wings in the combination meal.

Explanation:

In order to find the number of sliders and chicken wings in the combination meal, we can set up a system of equations. Let's assume that the number of sliders is 's' and the number of chicken wings is 'c'. We know that each slider has 250 calories and each chicken wing has 60 calories. The total number of sliders and chicken wings in the combination meal is 12, so we have the equation s + c = 12.

We also know that the total number of calories in the combination meal is 1100. Since each slider has 250 calories and each chicken wing has 60 calories, we can write the equation 250s + 60c = 1100.

Now we can solve this system of equations to find the values of 's' and 'c'.

Multiplying the first equation by 60, we get 60s + 60c = 720. Subtracting this equation from the second equation, we get 250s - 60s = 1100 - 720, which simplifies to 190s = 380. Dividing both sides by 190, we find that s = 2.

Substituting this value back into the first equation, we have 2 + c = 12. Solving for 'c', we find that c = 10.

Therefore, there are 2 sliders and 10 chicken wings in the combination meal.

x^2/49+y^2/36=1 How far from the center are the foci located?

Answers

Answer:

The distance between the center and the foci is √13 ≅ 3.6 units

Step-by-step explanation:

* Lets revise the equation of the ellipse

- The standard form of the equation of an ellipse with center

  (0 ,  0) and major axis parallel to the x-axis is

x²/a² + y²/b² = 1

# a  >  b

- The length of the major axis is 2a

- The coordinates of the vertices are  (± a , 0)

- The length of the minor axis is 2b

- The coordinates of the co-vertices are (0 , ± b)

- The coordinates of the foci are  (± c , 0), where c² =  a² −  b²

* Lets solve the problem

∵ The equation is x²/49 + y²/36 = 1

∴ a² = 49

∴ b² = 36

∵ The coordinates of the foci are (± c  , 0)

∵  c² = a² − b²

∴ c² = 49 - 36 = 13 ⇒ take square root for both sides

∴ c = ± √13

∴ The foci are (√13 , 0) and (-√13 , 0)

∵ The center is (0 , 0)

∴ The distance between the center and the foci is c - 0 = c or

   0 - (-c) = c

∴ The distance between the center and the foci = √13 - 0 = √13 units

* The distance between the center and the foci is √13 ≅ 3.6 units

The distance of the foci from the center of the ellipse given by the equation [tex]x^{2/49} + y^{2/36}[/tex] = 1 is approximately 3.61 units.

To find the distance of the foci from the center of the ellipse given by the equation  [tex]x^{2/49} + y^{2/36}[/tex] = 1, we use the formula for the focal distance in an ellipse: c = √(a² - b²).

Here, a² is the larger denominator, which is 49, and b² is the smaller denominator, which is 36. Therefore:

a = √(49) = 7b = √(36) = 6

Now, calculate the focal distance:

c = √(a² - b²) = √(49 - 36) = √(13) ≈ 3.61

Thus, the foci are approximately 3.61 units away from the center of the ellipse.

Solve 4(t+1)=6t-1
A) 1 1/2
B) 2 1/2
C) 1
D) 0

Answers

Answer:

answer is B...2 1/2

Step-by-step explanation:

4(t+1)=6t-1

4t+4=6t -1

4t-6t+4=6t-6t-1

-2t+4=-1

-2t+4-4=-1-4

-2t=-5

Divide by -2 for -2t and -5

-2t/-2=-5/-2

t=5/2= 2 1/2

Answer is b) 2 1/2

Which description best fits the graph?

Answers

Answer:

always increasing

Step-by-step explanation:

When you look at the graph from left to right on the x-axis the y-axis is always increasing in value.

Final answer:

The graph in question is a line graph, used to show correlations between two variables on a horizontal and vertical axis. Other graph types include bar graphs, for comparing different categories of data, and pie charts, for representing parts of a whole. The third exam vs final exam graph demonstrates a good model of linearity with little deviation.

Explanation:

The description best fitting the graph in this instance is that of a line graph. Line graphs are used to show the correlation between two variables, one on the horizontal axis and one on the vertical axis. They are most appropriate when trying to communicate trends, such as increases, decreases, or consistency over a period of time.

Another type of graph is a bar graph, which is most effective when comparing different categories of data. For example, comparing the amount of rainfall each month can be appropriately represented using a bar graph. Finally, a pie chart displays proportional relationships in the data and is best used when representing parts of a whole, such as voters' preferences in an election.

Referring back to the graph about the third and final exams, it could be said that the line of best fit models the data well, where there appears to be little deviation from the line. By analyzing the graphs carefully, it is possible to draw meaningful conclusions and compare data accurately.

Learn more about Graph Types here:

https://brainly.com/question/32550800

#SPJ3

I need help with my math

Answers

Answer:

28.26

Step-by-step explanation:

π r² = A

A = (3.14) (3²)

A = 3.14 · 9 = 28.26

Hello There!

WHAT WE KNOW

Pi = 3.14

R = 3

HOW TO SOLVE

A = 3.14*9

Answer 28.26

what is statics mean in a math problem?

Answers

Answer:

To calculate the mean, simply add all of your numbers together. Next, divide the sum by however many numbers you added. The result is your mean or average score.

Step-by-step explanation:

This is the correct answer to this question.

Hope this helps!!!

Kyle.

Answer:

I'm guessing you mean Statistics so here is the best answer i can find The branch of mathematics that deals with the collection, organization, analysis, and interpretation of numerical data. Statistics is especially useful in drawing general conclusions about a set of data from a sample of the data.

Step-by-step explanation:

PLEASE HELP IVE BEEN STUCK FOR HOURS!

Answers

13
14=2•7
15=3•5
16=2•2•2•2
17
18=2•3•3
19
20=2•2•5
...

Please help ASAP!I'll give brainliest!!!

Answers

Answer:

37.5

Step-by-step explanation:

Since it is a cube, all of the lengths are equal. To find the surface area, you do

2.5*2.5 which is 6.25. After we get the 6.25, we need to find how many faces are there in this cube. (Including the base) There are 6 bases, then you take 6.25*6 to get the surface area. The final answer would be 37.5

In ADEF, DF = 16 and mZF = 26. Find FE to the nearest tenth
18.3

14.4

Answers

Answer:

FE = 14.4

Step-by-step explanation:

Cos = Adj / Hypo.

So

Cos (F) = FE / DF

Cos (26) = FE / 16

FE = Cos (26) * 16

FE = 0.8988 * 16

FE = 14.4

18.3.................

Other Questions
Chemotherapy and radiation is used to treat which disease? If a pond is located in an area with significant amounts of air pollution, which health measure would be most directly affected?A: pHB: nitratesC: turbidityD: dissolved oxygen who has the symbol of peace Which is an equation of the circle with a radius of 9 units and center at(4, 2)?A. (x 9)2 + (y + 4)2 = 4B. (x 4)2 + (y + 2)2 = 81C. (x + 4)2 + (y 2)2 = 81D. (x 2)2 + (y + 4)2 = 81 What does the teacher want the students to do with their homework? Chemical digestion in the small intestine involves ________. a.a significant amount of enzyme secretion by the intestinal mucosa b.cholecystokinin (CCK), an intestinal hormone responsible for gallbladder contraction c.secretions from the spleen that contain all enzymes necessary for complete digestion d.bile salts that help emulsify carbohydrates so that they can be easily digested by enzymatic action Select all that apply. Which of the following is a condemnation?Sick of lackluster, dull floors from using Cleanies? Try Robo-Clean instead! It does the work for you.Speeding increases the likelihood of an accident! Don't do it. It's just not worth getting there faster!Try Pain Be Gone, the latest after sport medicated joint cream; you won't regret it!Smoking increases your risk for lung cancer, heart disease, and premature aging! There are no benefits!Don't forget to pick up some Banana Bots at the store! They're the perfect portable breakfast food. a rectangle is 6 units "wide" and x -8 use long it has the same area of a triangle with a height of 7 units and a base of x minus 3 years what is the area of the rectangle Tasha is buying a cd that is regularly $12.99 and is on sale for 1/4 off. The _____ system includes the heart. endocrine respiratory nervous circulatory What is a disadvantage to running a healthcare organization as a business PLEASE PLEASE HELP!! 30 POINTS!!What is an approximate average rate of change of the graph from x=8 to x=13, and what does this rate represent? Soldering is accomplished by quickly heating metal parts. Solder is a metal that is melted to join metallic surfaces together. Common solder formulations based on tin and lead are listed below. The fraction represents percentage of tin first, then lead, totaling 100%.Tin/LeadMelting Point (C)40/60230 C50/50214 C60/40190 C63/37183 C95/5224 CWith the same soldering iron, assuming the soldering irons highest temperature is 204 degrees Centigrade, would you be able to make the repair if you had solder made of 50/50? A tennis ball is a hollow sphere with a thin wall. It is set rolling without slipping at 4.03 m/s on the horizontal section of a track, as shown. It rolls around the inside of a vertical circular loop 90.0 cm in diameter and finally leaves the track at a point 20.0 cm below the horizontal section. (a) Find the speed of the ball at the top of the loop. Demonstrate that it will not fall from the track. (b) Find its speed as it leaves the track. (c) Suppose that static friction between the ball and the track was negligible, so that the ball slide instead of rolling. Would its speed then be higher, lower, or the same at the top of the loop If your boss asks you to do something you know goes against company ethic policies and your set of morals, you should go ahead and do it because he/she is your boss and could fire you.TrueFalse What are some synonyms of biased and definition Pamela wants to learn more about the career preferences of students in her school. She interviews a number of students from the advanced science classes. Why is this sample likely to be biased?A. Advanced science students may not have clear career preferences.B. The numbers of boys and girls in the advanced science classes are not equal.C. Advanced science students are not representative of all the students in the school.D. It is too early for students to have career preferences while still in school. -2(-3)(-1)(-4)= evaluate What was the cause of mohandas Gandhi's practice of civil disobedience and the nonviolent movement in India during the 20th century Write and solve the equation and then check your answer.A number increased by twenty-six is forty-two.Which statements are correct? Check all that apply.This is an addition problem.This is a subtraction problemThe correct equation iss+ 26 = 42.The correct equation iss 26 = 42.To solve the equation, add 26 to both sides.To solve the equation, subtract 26 from both sides. Steam Workshop Downloader