Given the function f(x) = –0. 5|2x 2| 1, for what values of x is f(x) = 6? x = 6, x = –5 x = 5, x = –5 x = 7, x = –6 no solution.

Answers

Answer 1

There is no solution for the given function [tex]\rm f(x) = -0.5|2x+2|+1[/tex] when f(x) = 6 option fourth is correct.

It is given that the function  [tex]\rm f(x) = -0.5|2x+2|+1[/tex]

It is required to find the values of x when f(x) = 6

What is a function?

It is defined as a special type of relationship and they have a predefined domain and range according to the function.

We have a function:

[tex]\rm f(x) = -0.5|2x+2|+1[/tex]

And f(x) = 6

Putting the value of f(x) in the above equation, we get:

[tex]\rm 6 = -0.5|2x+2|+1[/tex]   or

[tex]\rm -0.5|2x+2|+1= 6\\\\\rm -0.5|2x+2|= 6-1\\\\\rm -0.5|2x+2|+5\\\\\rm |2x+2|= \frac{5}{-0.5} \\\\\rm |2x+2|= -10[/tex]

Here we can see the mod function values is negative which is not possible, hence there is no solution for the above equation for any 'x'

Thus, there is no solution for the given function [tex]\rm f(x) = -0.5|2x+2|+1[/tex] when f(x) = 6.

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Related Questions

[tex]\left \{ {{x+4y=2} \atop {2x+5y=7}} \right.[/tex]

Answers

I hope I can help you

A‌ ‌drink‌ ‌recipe‌ ‌calls‌ ‌for‌ ‌papaya‌ ‌juice‌ ‌and‌ ‌water.‌ ‌This‌ ‌equation‌ ‌represents‌ ‌the‌ ‌proportional‌ ‌relationship‌ ‌between‌ ‌the‌ ‌number‌ ‌of‌ ‌milliliters‌ ‌of‌ ‌papaya‌ ‌juice‌ ‌(‌p‌)‌ ‌and‌ ‌water‌ ‌(‌w‌)‌ ‌in‌ ‌the‌ ‌recipe.‌ ‌
‌5‌p‌‌ ‌=‌ ‌85‌w‌ ‌
‌Enter‌ ‌the‌ ‌number‌ ‌of‌ ‌milliliters‌ ‌of‌ ‌water‌ ‌used‌ ‌for‌ ‌1‌ ‌milliliter‌ ‌of‌ ‌papaya‌ ‌juice.‌ ‌

Answers

Answer:

1/17 mL of water

Step-by-step explanation:

5p = 85w

Divide both sides by 85.

5p/85 = 85w/85

p/17 = w

w = p/17

For 1 mL of papaya juice, p = 1.

w = 1/17

1/17 mL of water is used for 1 mL of papaya juice.

can you guys answer this?​

Answers

An isosceles right triangle has two congruent angles and a right angle

It is true that the base angle of an isosceles right triangle is 45 degrees

How to determine the base angle?

From the question, we understand that:

Triangle type = isosceles right triangle

The sum of angles in a triangle is:

x + y + z = 180

Assume the triangle is right-angled at z.

So, we have;

z = 90

The equation becomes

x + y + 90 = 180

Subtract 90 from both sides

x + y = 90

The triangle is an isosceles triangle.

So, we have: x = y

The equation becomes

x + x = 90

2x = 90

Divide by 2

x = 45

Hence, it is true that the base angle of an isosceles right triangle is 45 degrees

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A student wants to learn how to spell 200 words on a list. The student learned how to spell the first 25 words on the list at a rate of 5 words per day. At this rate, how many days will it take for the student to learn how to spell the remaining words on the list
A. 14
B. 15
C. 35
D. 45

Answers

Rate of change=5Y intercept=b=25

Equation in slope intercept form

y=mx+by=5x+25

Now

5x+25=2005x=175x=175/5x=35

gina wilson unit 8 right triangles&trignometry homework 2 help

Answers

Answer:

huh

Step-by-step explanation:

Please help me on all of these problems i am confused how they correlate

Answers

Answer:

Step-by-step explanation:

a) Area is multiplied by the square of the scale factor, so it is (3.1)^2 = 9.61 times larger.

b) Same logic, (1/6)^2 = 1/36

c) correct

d) 3

When the cpi is 185, an electric razor cost $57.81. what is the difference between the price of an electric razor in 1983 and the cost of an electric razor when the cpi is 207, to the nearest cent? a. $33.44 b. $31.25 c. $26.56 d. $6.88

Answers

The difference between the price of an electric razor in 1983 and the cost of an electric razor when the cpi is 207, to the nearest cent is given by: Option D: $6.88

What is consumer price index?

The consumer price index is the new cost of market basket in terms of percentage of old cost of market basket.

[tex]CPI_t[/tex] = consumer price index in current period[tex]C_t[/tex] = cost of market basket in current period[tex]C_0[/tex]  = cost of market basket in base period

Then, we have:

[tex]CPI_t = \dfrac{C_t}{C_0} \times 100[/tex]

For this case, we're given that:

In 1983, CPI of considered razor = 185, and price = $57.81In some other year, the CPI of considered razor = 207, and price = $ ?? (to find).

Let the base price of the razor in some base period be [tex]C_0[/tex]  

Then, for year 1983, we get:
[tex]CPI_t = \dfrac{C_t}{C_0} \times 100\\\\185= \dfrac{57.81}{C_0} \times 100\\\\C_0 \approx 31.248 \: \text{(in dollars)}[/tex]

Now for the year when CPI is 207, let the price of th razor be $x, then we get:

[tex]CPI_t = \dfrac{C_t}{C_0} \times 100\\\\207 \approx \dfrac{x}{31.248} \times 100\\\\x \approx 64.683 \: \text{(in dollars)}[/tex]

The difference between the two prices is:

[tex]d \approx 64.683 - 57.81 = 6.87 \approx 6.88\: \text{(in dollars)}[/tex]

Thus, the difference between the price of an electric razor in 1983 and the cost of an electric razor when the cpi is 207, to the nearest cent is given by: Option D: $6.88

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Answer:

D

Step-by-step explanation:

Find area of shaded region.

Answers

area of shaded region = 1/4 of the circle area - triangle area

circle area = pi x r² = 3,14 x 2² = 12,56 m²

so 1/4 circle area = 12,56 : 4 = 3,14 cm²

and

triangle area = 1/2 x 2 x 2 = 2 m²

=> area of shaded region = 1,14 cm²

the graph of the money jake earns while babysitting is shown below. put a scale on each axis that makes sense for this situation. explain why chose the scales you did.

Answers

Answer:

Hi uddin

Step-by-step explanation:

Do u remember me


I am the ghost of the uchiha i searched ur this question and found ur brainly thing

Meteorologists look for weather trends across US states in the same geographical region. Kentucky and Illinois share a border. The average annual temperatures (°F) from 1991 to 2000 for Kentucky were 57.5, 55.1, 52.2, 55.6, 55.6, 54.4, 54.5, 58.3, 57.3, and 55.7. The average annual temperatures (°F) from 1991 to 2000 for Illinois were 53.7, 51.9, 50.9, 51.8, 51.4, 49.9, 50.8, 55.0, 53.3, and 52.0. Use the statistics calculator to determine the measures of center for Kentucky.

Kentucky mean =

Kentucky median =

Illinois mean = 52.07

Illinois median = 51.85

Both measures of center for Kentucky are
those of Illinois.

Answers

Answer:

the median is 55.6

Step-by-step explanation:

The average annual temperatures (°F) from 1991 to 2000 for Kentucky were 57.5, 55.1, 52.2, 55.6, 55.6, 54.4, 54.5, 58.3, 57.3, and 55.7.

We have to evaluate the measures of center.

Firstly, we will calculate the mean.

Mean = (Sum of all the observations)/ (Total number of observations)

Mean =  

=

= 55.62

Now, we will calculate mode.

Mode is a statistical term that refers to the most frequently occurring number found in a set of numbers.

Consider the data 57.5, 55.1, 52.2, 55.6, 55.6, 54.4, 54.5, 58.3, 57.3, and 55.7.

Mode = 55.6

Now, we will calculate the median.

Firstly, we will arrange in the ascending order.

52.2, 54.4, 54.4,55.1 ,55.6, 55.6, 55.7, 57.3, 57.5, 58.3

Since there are 10 terms.

Median = th observation

Median = 5th observation.

Since, the 5th observation is 55.6.

Therefore, the median is 55.6

Struggling on this one

Answers

Answer:

x=98

Step-by-step explanation:

Alright, so..

Your first step is to isolate (or make the x be alone), so you will have to get rid of the "8". We do this by doing the opposite thing to it. So since it is subtracting, we will add 8:

-8+8=0
Now what you do to one side of the "=" has to be done to the other:
6+8=14

now, we have the equation:
14=x/7

Simply repeat the step of isolating the x:
This time, we will multiply since it was originally dividing..

x/7(7)=1x/1

1x/1 is the same thing as 1x, which is the same thing as just "x"

Now, do it to the other side:
14(7)=98

Thus we have:
98=x or x=98

this can be checked by substituting the "x" for 98:

6=98/7-8
98/7=14

14-8=6

6=6

which is correct.

Thus, the answer is: x=98

Hope this helps! Brainliest is always appreciated! :)
Have a great day! cx

~Mitsuna

The perimeter of a quarter circle is 10. 71 yards. What is the quarter circle's radius?

Use 3. 14 for ​

Answers

Answer:

r = 3 yds

Step-by-step explanation:

The perimeter of a quarter circle is 1/4 of a circumference of the circle AND two straight edges that are the length of the radius. see image.

The circumference is given and using 3.14 for pi, we'll then solve for r. see image.

What is the estimated sum of 709 645 798 704 and 658?

Answers

Answer:

about 3600

Step-by-step explanation:

6 6/9 divided by 1 5/7

Answers

Exact Form:
28/9
Decimal Form:
3.1
Mixed Number Form:
3 1/9

In which quadrant is the value of the x-coordinate of a point on the unit circle always greater than the y-coordinate?

Answers

Answer:

IV

In the fourth quadrant (IV).

Step-by-step explanation:

In the IV quadrant the x coordinate is always positive and the y coordinate is always negative. So the x coordinate is always larger than the y coordinate.

Jade is going out for pizza with her friend.For 60 dollars how many pizzas can she buy if each pizza costs 12 dollars

Answers

Answer:

jade can by 5 pizzas

if Jade buy pizzas for 60 dollars
60/12=5
he can buy 5 pizzas
p=5

Help what do I do do i just write y-3x+5 or solve it ​

Answers

Answer:

y=-3x+5

Step-by-step explanation: Yes you have it correct. The question is asking for you to put it into an equation that fits the slope and y-intercept which is slope-intercept form. Additional note, when you have a problem like this and it doesn't say what type of equation form to put it in, put it in slope-intercept form for simplicity's sake.

Answer:

  y = -3x +5

Step-by-step explanation:

In general, do what the question asks you to do: write the equation of the line.

__

The slope and y-intercept of the line are given, so the easiest, most direct way to write the equation is to use "slope-intercept form." That form looks like ...

  y = mx + b . . . . . . where m is the slope, b is the y-inercept

You are given m = -3 and b = 5, so the equation you are asked to write can be ...

  y = -3x +5 . . . . . . this equation is the answer to the question

__

Additional comment

There are many forms of the equation for a line. Another one in common use for problems like this is the "point-slope form." You would use that one for a simple, direct answer to writing an equation for a line with a given slope through a given point.

  y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

If you are given the x- and y-intercepts, you can use "intercept form" to write the equation:

  x/a +y/b = 1 . . . . . for x-intercept 'a' and y-intercept 'b'

Another useful form is "standard form", which has ...

  ax +by = c . . . . where a > 0, and a, b, c are mutually prime

For example, the equation for your line could be written in standard form as ...

  3x +y = 5

(w+9)+3 write an expression equivalent

Answers

Answer:

[tex]\displaystyle 12 + w[/tex]

Explanation:

Just combine like-terms to arrive at your answer:

[tex]\displaystyle \boxed{12 + w} \Rightarrow [w + 9] + 3[/tex]

I am joyous to assist you at any time.

Jasmine has four rectangular baking pans. Which of the pans has the greatest volume?


Pan D: 8 in. by 8 in by 2 1/2 in.

Pan A: 9 in. by 16 in by 1 1/2 in.

Pan C: 9 in. by 9 in by 2 in.

Pan B: 9 in. by 13 in by 1 in.

Answers

Answer:

16 11/2

Step-by-step explanation:

ezz

25
Which equation best represents the relationship between x and y in the graph?
Y
9
S
2
5
4
3
2
1
-2
3
Ay=-4-3
4
3
BY--x-3
c y = - 8x - 4
D y = - 3X -4
Cy
7X
Dy=-31
*

Answers

Answer:

-3/4 x -3

Step-by-step explanation:

Put all Answer choice on graph:

-3/4 x -3

-4/3 x - 3

-3/4 x -4

Base on the graphs below:

we can see that -3/4 x -3 is the best represents..

~Lenvy~

Please help I will give brainliest.

Answers

Answer:

3 Rd one

Step-by-step explanation:

donee....!!✓give me the branliest

i need help on this and a few more i have been busy lately

Answers

Answer:

ok so we have to make it so we can get rid of one of the varibles by adding or subtracting

so lets multiply the first one by 4

120x+16y=4160

minus the second one so

108x=2160

divide by 108

x=20

then we just plug in

12(20)+16y=2000

240+16y=2000

-240

16y=1760

divide by 16

y=110

(20,110)

Hope This Helps!!!

Lucid can walk about 3 4/5 miles each hour. about how far can she walk in 2 hours and 45 minutes

Answers

Answer:

9.31

Step-by-step explanation:

Distance = 3 ⅘ x 2.45

3 ⅘ = 3.8

3.8 x 2.45 = 9.31

A triangle has two sides of length 4 and 2. What is the smallest possible whole-number length for the third side?

Answers

Answer:

19

Step-by-step explanation:

(03.01 MC)
Which equation justifies why 103 = 3/10
1
-1046-10
O
= 10
= 10
dho
°
(103)
(103)-1olia)
0(101) 105)=0
(103)*=106-)-10
=
= 10
=
Previous Question

Answers

Answer:

The choice B

Step-by-step explanation:

[tex]( {10}^{ \frac{1}{3} } )^{3} = {10}^{ \frac{1}{3} \times 3} = {10}^{ \frac{3}{3} } = {10}^{1} = 10[/tex]

help please thank you!!!

Answers

Answer:

3/4 · 1/4 = 3/16

Step-by-step explanation:

We can see from the picture that

yellow is

4 boxes out of the entire group of 16 boxes, hence 4/16

OR simplified

1 horizontal strip out or 4 total same horizontal strips, hence 1/4

blue is

12 boxes out of the entire group of 16 boxes, hence 12/16

OR simplified

3 vertical strips out or 4 total vertical strips, hence 3/4

The multiplication problem is

1/4 · 3/4 = 3/16 or 3/4 · 1/4 = 3/16

The result is 3 green boxes out of all 16 boxes.

(3/16 can not be simplified)

Find the surface area of the equilateral triangular prism below.

Answers

Answer:

Area of a triangle = bh/2

Area of a rectangle = bh

The area of the triangles are the same, the area of the rectangles are the same.

triangle: 9x8/2

72/2 = 36

Rectangle: 8x14=112

There are 2 triangles and 3 rectangles so,

2(36)+3(112)

72+336= 408 in²

NEED HELP ASAP!!! GIVING BRAINLIEST+30 POINTS FOR FASTEST, BEST ANSWER FOR THESE TWO QUESTIONS!!!!!

Solve nine times two thirds.

Leave your answer as an improper fraction.

eleven twenty sevenths
eighteen twenty sevenths
eleven thirds
eighteen thirds

Answers

eighteen thirds

two thirds refers to : [tex]\sf \sf \dfrac{2}{3}[/tex]

[tex]\sf \rightarrow 9 * \dfrac{2}{3}[/tex]

[tex]\sf \rightarrow \dfrac{9*2}{3}[/tex]

[tex]\sf \rightarrow \dfrac{18}{3}[/tex]     [ also refereed as eighteen thirds ]

Answer:

[tex]6\\six~is~2/3~of~9\\this~can~also~be~looked~at~as\\2 * 3 = 6\\[/tex]

Second problem

[tex]11/27\\18/27\\11/3\\18/3[/tex]

                                          Hope it helps, be great!

   

12) 26 in
17 in

13) 28 ft
20 ft

14) 27 mm
34 mm

Answers

Answer:

#12=442

#13=560

#14=918

Step-by-step explanation:

26x17=442

28x20=560

27x34=918

Answer:

Step-by-step explanation:

I will answer only a few

12.) the area of a triangle is half its base times its height

[tex]\frac{1}{2} *17 * 26[/tex]

= 17 * 13

= 221

13.) 1/2 * 20 * 28

= 10 * 28

=280 cm^2

There is a population of 10,000 bacteria in a
colony. If the number of bacteria doubles every
260 hours, what will the population be 780
hours from now?

Answers

Answer:

80,000

Step-by-step explanation:

The population doubles every 260 hours. 260 goes into 780 three times.

10,000x2=20,000

20,000x2=40,000

40,000x2=80,000

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