Let f(x)=−|x−3|+3 and g(x)=1/2x−3. Graph the functions in the same coordinate plane.
What are the solutions to f(x)=g(x)?

Enter your answers in the boxes from smallest to largest.

x=_ and x=_

Answers

Answer 1

Answer:

x = 6 and -6

Step-by-step explanation:

Answer 2

Answer:

the answer is: 6 and -6. hope this helps!!

Step-by-step explanation:


Related Questions

Error Analysis! Answer both parts of the question.

Kaitlyn solved the equation 5y = 15 and found the answer to be y = 75.

(Problem down below in file)

Part A: In a complete sentence or two, explain what Kaitlyn's error was. What did she do wrong?

Part B: What is the correct answer? Show your work and/or explain your reasoning.

Answers

Answer:

Kaitlin's answer is wrong because she is supposed to by dividing. When trying to get rid of a number from a variable you have to divide the number by itself and whatever you do to one side you have to do to the other side

so you would do 5/5 - cancels out

15/5=3

y=3

Step-by-step explanation:

have a great day :D

Answer:

y = 3

Explanation (Part A):

She was supposed to divide five both sides. However, she divided one side by five and multiplied five on the other side, which makes her answer incorrect. She got confused that if any side is divided by a number, the other side must be divided by that same number.

Solution (Part B):

5y = 15=> 5y/5 = 15/5=> y = 3

The correct answer must be 'y = 3'.

18. State the slope and y-intercept of each linear equations.
a. 6(x + y) = 3(x - y)
b. 2(x + y) = 5(y + 1)
c. 5x + 10y - 20 = 0)

Answers

Answer:

a. m = -1, y-int = 0

b. m = 2/3, y-int = -5/3

c. m = -1/2, y-int = 2

Step-by-step explanation:

-Expand equations on both sides.

-Make 'y' the subject by collecting like terms and moving everything to the right, e.g. y = ...

-Slope is the number in front of x.

-Find y-intercept by letting x = 0 and solve the equation.

Please help me I need this to get a A please help me

Answers

Answer:

(0,-2)?

Step-by-step explanation:

The answer to this question would be -3.5

i need help with this

Answers

Answer:

12.5%

Step-by-step explanation:

Write an expression for the following statement:

“Twice a number is subtracted from eighteen”

Answers

Answer:

Expression of the statement = 18 - 2x

Answer:

18 - 2x

Step-by-step explanation:

HELP IVE GOT 5 MINS!!

Answers

Answer:

< A = 148°

Step-by-step explanation:

<A = <B → 6x - 2° = 4x + 48° → 2x = 50° → x = 25°

<A = 6(25°) - 2° = 150° - 2° = 148°

7.1.35-T Question Help You are the operations manager for an airline and you are considering a higher fare level for passengers in aisle seats. How many randomly selected air passengers must you survey? Assume that you want to be 95% confident that the sample percentage is within 3.5 percentage points of the true population percentage. Complete parts (a) and (b) below. a. Assume that nothing is known about the percentage of passengers who prefer aisle seats. (Round up to the nearest integer.)​

Answers

Answer:

You must survey 784 air passengers.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

Assume that nothing is known about the percentage of passengers who prefer aisle seats.

This means that [tex]\pi = 0.5[/tex], which is when the largest sample size will be needed.

Within 3.5 percentage points of the true population percentage.

We have to find n for which M = 0.035. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.035 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]

[tex]0.035\sqrt{n} = 1.96*0.5[/tex]

[tex]\sqrt{n} = \frac{1.96*0.5}{0.035}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*0.5}{0.035})^2[/tex]

[tex]n = 784[/tex]

You must survey 784 air passengers.

please very soon I offer the crown !!! + 10 points urgently !!!

Answers

Answer:

swdfghjkl;'[

Step-by-step explanation:

asdfghjkl;'iy7u6j54hy3feqdwsrtfyuiop;lkjhgf

Answer:

nbmmmmmmmmmmmmmmmmmm

Step-by-step explanation:

Tell whether x and y show direct variation, inverse variation or - y/4 = 2x

Answers

9514 1404 393

Answer:

  direct variation

Step-by-step explanation:

The given equation can be written in the direct variation form ...

  y = kx

  y = -8x . . . . rewrite of the given equation (multiply by -4)

This is an example of direct variation.

What is the y-intercept of the line given by the equation y = 5x - 21?
A. (0.5)
B. (0,21)
C. (0-5)
D. (0, -21)

Answers

A because it makes the most sense !
A it make a lot sense

What quantity of a 50% acid solution must be mixed with a 20% solution to produce 600 mL of a 45% solution?

Answers

Answer:

400 mL

Step-by-step explanation:

0.50x + 0.20(600-x) = 0.40*600

50x + 20*600 - 20x = 40*600

30x = 20*600

x = 20*20

x = 400 mL

Which expression is equivalent to sqrt -108 - sqrt -3?

A) 5 sqrt 3i
B) 6 sqrt 3i
C) 7 sqrt 3i
D) 8 sqrt 3i

Answers

Answer is c) 7sqrt 3i

Daniel started a video game with 30 tokens. He earned 8 more tokens 0/10
for jumping on a star, but lost 6 tokens for falling into a hole. When he
passed a checkpoint, his number of tokens doubled! Then he spent20
tokens to buy a flashlight. Which expression shows how many tokens he
has left?

2x(30+8-6-20)

2x(30+8)-(20-6)

2x30+8-6-20

2x(30+8-6)-20

Answers

Answer:

2x(30+8-6)-20

Step-by-step explanation:

I don’t understand this. Please help me.

Answers

Answer:

A

Step-by-step explanation:

To check for similarity, check for the scale factor. We can see angle X and angle U are both 32°. If the triangles were similar side RS to side UV and side RT to side UW should give the same scale factor. 10:12 = 5:6 and 15:18 = 5:6. Therefore the two triangles are similar. When naming similar triangles make sure you start from the same point, so triangle RST is similar to triangle UVW.

Silvia wants to mix a 20% apple juice drink with pure apple juice to make 4 L of a juice drink that is 80% apple juice. How much pure apple juice should she use?​

Answers

95141 1404 393

Answer:

  3 liters

Step-by-step explanation:

There's a simple and effective "visual" way to solve mixture problems that makes short work of this.

In the attached, the concentrations of the contributors are listed on the left. It can work well to put the largest contributor on top (though that is not strictly necessary). The target concentration is put in the middle between them, and the differences along the diagonals are computed.

The diagonal differences are reduced to lowest terms as a ratio in the right-hand column. These numbers can be compared to the problem statement to see how they relate.

In this case, the total is 4 L of juice, and the total of the ratio units is 4. Then the ratio units are the number of liters of the corresponding contributor:

3 L of 100% juice1 L of 20% juice

2x2 =4 this is 4 or 3 ??????????

Answers

Answer:

4 is the right answer

2 × 2 = 4

2 × 1 = 2 2 × 2 = 42 × 3 = 6 2 × 4 = 82 × 5 = 102 × 6 = 122 × 7 = 142 × 8 = 162 × 9 = 182 × 10 = 20

Why is 2+2=4 and 2x2=4?

Originally Answered: why does 2*2=4 and 2+2=4? The truth is that a number multiplied by itself does not have to be equal to the same number added to itself. We can prove 2x2=4 easily. We have 2 groups of 2s.

Answer:

4 is the right answer......

Can someone help me please

Answers

Answer:

I think it is a scalene acute because:

➡It has acute angles

➡Its angles are not equal  ⬇

Scalene triangles do not have equal angles  

Hope this helps, adn have a good day! ฅ^•ﻌ•^ฅ

plz help
what is the range of the data set?

Answers

Answer:

C. 6

Step-by-step explanation:

The range of a data set is the smallest number subtracted from the biggest number. In this case 7 is the biggest number, and 1 is the smallest number. This gives us the equation 7 - 1 = range which gives us 6.

Kevin buys a dining table and. 8 identical chairs for. $294. The table costs $198. How much does each chair cost? Show as bar models

Answers

Answer:

12 dollars per chair

Step-by-step explanation:

294 - 198 = 96

96 divided by 8 = 12

$12 for each chair. 294-198= 96. 96/8 =12.
Also could I have brainlist, if I’m wrong my bad.

plzz answer asap!!! 10 points

Answers

Answer:

x+(6x-15) = 90 degrees

for the whole angle measure is 90 degree and making smaller angles out of it , their sum should be 90 degrees


Calculate: Find the perimeter of a triangle with sides 11 inches, 5 inches, and 13 inches. Show your work.

Answers

Answer:

29

Step-by-step explanation:

P=a+b+c=11+5+13=29

An information technology service at a large university surveyed 200 students from the College of Engineering and 100 students from the College of Arts. Among the survey participants, 91 Engineering students and 73 Arts students owned a laptop computer. Construct a 98% confidence interval for the difference between the proportions of laptop owners among Engineering and Arts students.

Answers

Answer:

CI = ( 0,1433  ;  0,4067 )

Step-by-step explanation:

College of Engineering

sample size  n₁  =  200

sample proportion ( with laptop )    p₁ = 91/ 200   p₁ = 0,455  q₁ = 1 - p₁

q₁ = 0,545

College of Arts

sample size  n₂  =  100

sample proportion ( with laptop )    p₂ = 73/ 100   p₂ = 0,73  q₂ = 1 - p₂

q₂ = 0,27

CI = 98 %      significance level   α = 2 %  α = 0,02    α/2 = 0,01

From z-table we find z(c) for 0,01

z(c) = 2,328

CI = [  ( p₂ - p₁ ) ± z(c) * √ (p₁*q₁)/n₁ + (p₂*q₂)/n₂ ]

CI

[ ( 0,73 - 0,455 ) ±  2,328 * √ (0,455*0,545)/ 200  + ( 0,73*0,27)/100

CI = ( 0,275 ) ±  2,328 *√0,00123 + 0,001971

CI = ( 0,275 ± 2,328* 0,0566)

CI = ( 0,275 - 0,1317  ;  0,275 + 0,1317 )

CI = ( 0,1433  ;  0,4067 )

The values of the CI  for  the difference are always positive meaning that the proportion of students of Arts is greater than the proportion of students of Engineering

What the geometric mean of 4 and 8​

Answers

I think the correct answer is 5.6569

Please help with this math question'

Answers

Answer:

h = 1296 feet

Step-by-step explanation:

Given that,

The vertical position of the object is :

[tex]h(t)=-16t^2+160t+896[/tex] .....(1)

We need to find the highest height reached by the object. For highest height,

Put dh/dt = 0

[tex]\dfrac{d}{dt}(-16t^2+160t+896)=0\\\\-32t+160\\\\t=\dfrac{160}{32}\\\\t=5\ s[/tex]

Put t = 5 in equation (1).

[tex]h(5)=-16(5)^2+160(5)+896\\\\=1296\ ft[/tex]

So, the height reached by the object is 1296 feet.

Line r and m are parallel. Find the value of y.

Answers

Answer:

y=8

Step-by-step explanation:

the angle that is equal to 10x-3 and the angle that is equal to 7x+45 are equal to each other because they are corresponding angles so we setup an equation which would be

10x-3=7x+45

step 1

add 3 to each side

-3+3 = they cancel out

45+3=48

now we have

10x=7x+48

step 2

subtract each side by 7x

7x-7x cancels out

10x-7x=3x

3x=48

step 3

divide each side by 3

3/3 cancels out

48/3=16

so x =16

now we plug it into to 10x+3

10x16=160 160-3= 157

so the angle that is equal to 157 and the one that is equal to 3-y are supplementary angles so they will add up to equal 180 so to solve y we setup the equation which would be

180=157+3y-1

step 1 combine like terms

157-1=156

180=156+3y

step 2 subtract each side by 156

156-156 cancels out

180-156=24

so now we have

24=3y

next we divide each side by 3

3/3 cancels out

24/3=8

y=8

hope this makes sense :D

Multiply. √20 · √63
A. 5√35
B. 6√35
C. 6√12
D. 6√5
30 points!! Pls help :(

Answers

Answer:

B. 6√35 po correct

Step-by-step explanation:

simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Exact Form:

6√35

Decimal Form:

35.49647869

Hope it help po.. pwede brainliest : (

6x+12 in its simplest form?

Answers

Answer:

It is already in simplest form.

Step-by-step explanation:

Answer:

Already in simplest form

Step-by-step explanation:

I mean you could do 6(x+2) but its already in its simplest form.

How does lack of sleep affect risk of injury?
O A. It causes illness.
B. It causes distractions.
C. It interferes with hearing.
D. It interferes with motor responses.

Answers

Answer:

D. It interferes with motor responses

Step-by-step explanation:

Don't ask why I know this

Trying to help my daughter can't figure this out.

The perimeter of a rectangle is 72 meters. The width of the rectangle is 4meters less than the length. Find the length and width of the rectangle. (use l for the length)​

Answers

Answer:

width equals 16

length = 20

Step-by-step explanation:

Hello there!

we know that the perimeter is 72 m

and the width is 4 m less then the length

perimeter is 2w+2l

w=width and l = length

72 + (2x-4) = 72+8 = 80

80 / 4 (because there are 4 values, w, w, l, l ) = 20

so now...

20 - 4 = w

16 = w

and 20 = l

16+16 = 32

20+20 = 40

32+40 = 72

Find the slope of the line that passes through (3, 2) and (7,5)
Simplify your answer and write it as a simplified fraction.

Answers

Answer:

[tex] \frac{3}{4} [/tex]

Step-by-step explanation:

Slope is equal to the change in y over the change in x.

[tex]m = \frac{change \: in \: y}{change \: in \: x} [/tex]

The change in x is equal to the difference in x-coordinates, and the change in y is equal to the difference in y-coordinates .

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

Substitute in the values of x and y into the equation to find the slope.

[tex]m = \frac{5 - (2)}{7 - (3)} [/tex]

Simplify.

[tex]m = \frac{3}{4} [/tex]

Hence, the slope is 3/4.

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