How does the graph of f (x) = |x| compare with the graph of g (x) = -1/2 |x|?

Answers

Answer 1

Answer:

The graph of f(x) = |x| is a v-shape and doesn't cross over the x-axis.

The graph of g(x) = -1/2|x| is still a v-shape, but it's upside-down and a bit wider. This is because of the coefficient in front of the |x|.  The negative sign flips the graph of |x| and the 1/2 makes the slope smaller, therefore the graph is less steep.

I've attached a picture of the two lines below!

How Does The Graph Of F (x) = |x| Compare With The Graph Of G (x) = -1/2 |x|?

Related Questions

Find the coordinates of the other endpoint when you are given the midpoint (point M) and one of the endpoints (point P).
P = (-16, 0) and M = (0, -16)

Answers

Find the other endpoint through middle point M. The formula for middle point M is the half of the sum of coordinates x,y. We have xm = 1/2 * ((-16) + x?) and by this pattern for y. The other endpoint has coordinates x = 16; y = -32;

Z'hkiya works as a waitress at her family's restaurant. She works 1 hour every moming during the breakfast shift and
returns to work each evening for the dinner shift. In the last four days, she worked 18 hours. If Z'hkiya works the
same number of hours every evening, how many hours did she work during each dinner shift?
I need help so bad

Answers

Answer:

3 and a half hours every dinner shift

Answer:

the other guy is right I'm pretty sure

Answer question one and show work.

Answers

Answer:

x = 28

Step-by-step explanation:

angle 1 and angle 2 are complementary (their sum is 90°)

x + 5 + 2x + 1 = 90 add like terms

3x + 6 = 90 subtract 6 from both sides

3x = 84 divide both sides by 3

x = 28

what is the distance between point A and point B

Answers

Answer:

7x4

Step-by-step explanation:  180

PLEASE ANSWER QUCIK I WILL GIVE BRAINLIEST

Answers

Answer:

1/16

Step-by-step explanation:

3(x-2)+7x=1/2(6x-2) answer

Answers

Answer: x = 5/7

Step-by-step explanation:

In a two digit number, the tens digit is 2 less than the units digit multiplied by 3. The reversed number is half of the original number plus 1/2. What is the original number?

Answers

Answer:

73

Step-by-step explanation:

Original number: XY

x = 3y - 2

10y + x = (10x + y) / 2 + 1/2

substitution: 10y + 3y - 2 = 13y - 2 = (10 * (3y - 2) + y) / 2 + 1/2

* 2 both sides and simplify: 26y - 4 = 31y - 19

31y - 26y = -4 + 19

5y = 15

y = 3

x = 7

Original number: 73

Howie bought 4 binder for $2.14 each, a pack of pencils for $1.25, and a new coat for $19.95. How much money did Howie spend altogether? A. $23.34 B. $27.34 C. $28.66 D.$29.76

Answers

Answer:

A. $23.34

Step-by-step explanation:

The computation of the amount of money spend altogether is given below:

= Purchase price of 4 binder + pack of pencils + new coat

= $2.14 + $1.25 + $19.94

= $23.34

We simply added the above three cost so that the total money incurred would be come

Hence, the correct option is A

A skating rink can be rented for parties. The total price, p, for g guests can be found using the formula below.
p = 69 + 90
Write an equation that shows the same formula rearranged to find g in terms of p.
(Give your response in the form g = ...)

Answers

Answer:

69+90 p=159

Step-by-step explanation:

Samantha's college runs on a trimester schedule so she receives a bill 3 times a year for tuition. Each trimester costs 1,450 and Samantha must complete 2 years of college to receive degree. The average costs for books each trimester is 350$. Approximately what will be the total cost of Samantha to get her degree?

Answers

Answer:

$89100

Step-by-step explanation:

Given data

Each trimester costs=$1,450

time taken to complete degree= 2 years

In 1 years, she will pay = 14500*3=  $43500

In 1 years, she will pay =$43500*2=  $87000 in tuition

The average costs for books each trimester is 350$

In 1 years, she will pay =  350*3=  $1050

In 1 years, she will pay =$1050*2=  $2100 for books

In all she will pay

87000+2100=$89100

Answer:

$10,800

Step-by-step explanation:

pleaseeee help i'm so confused rn

Answers

Answer:

(d)

Step-by-step explanation:

._. its d in my opinion most sense to me

You are in charge of buying food for your family reunion. You spend $90 on hamburgers and turkey burgers. You pay $1.50 for each hamburger and $2 for each turkey burger.
Let x be the number of hamburgers and y be the number of turkey burgers.
If you bought 30 turkey burgers, how many hamburgers did you buy?

Answers

You would have bought 20 burgers

4. In the diagram shown, a metal support brace is added to stabilize a metal
triangle. The brace is parallel to the 18-foot base of the triangle and divides the
left side into a 4-foot and a 6-foot section. What is the length of the metal
support brace?
4 ft
6 ft
18 ft
A 7.2 ft
B 12 ft
C 27 ft
D 8.5 ft

Answers

Answer:

D

Step-by-step explanation:

Line 1 passes through the points (9,-4) and (3, 2)
. Line 2 is parallel to Line 1 and contains the point
(5,-2). Write an equation for Line 2. HINT: You must
first find the slope of line 1, then write an equation in
point slope form.

Answers

Answer:

y = -1x + 4

Step-by-step explanation:

equation for one is y = -1x + 5 simple going back from point (5,-2) gave me a b of 4 so yess

Solve the equation 7x - 12 = 23
What is the answer

Answers

The answer is 5 I have shown my work in the picture
7x-12=23
+12 +12

7x = 35
————
7 7

X= 5

Read question in picture

Answers

Answer:

[tex] {w}^{2} = {20}^{2} - {12}^{2} = 400 - 144 = 256 \\ w = \sqrt{256} \\ \boxed{w = 16}[/tex]

16 is the right answer.

match each situation to its corresponding function

Answers

Answer:

whats the question again???????????????????????????

The car can carry 5 people. How many cars are needed to transport 50
kids?
(I don’t feel like working it out)

Answers

Answer:

They would need to take 10 cars

Step-by-step explanation:

1 car=5 kid

2 cars=10 kid

3 cars= 15 kid

4 car=20 kids. and so on.

B
20
29
C
21
1
Find sin(a) in the triangle.
A)20/21
B) 20/29
C) 21/20
D)21/29

Answers

Answer:

B) 20/29

Step-by-step explanation:

Sin(a) is equal to opposite side length divided by hypotenuse.

Which ratio would you use to find AC? Sine B) Cosine C) Tangent?​

Answers

Answer:

Step-by-step explanation: Sine

Tyler used 114 gallons of paint to paint 47 of a fence. How many gallons will it take to paint the whole fence?

Answers

Answer: It will take 199.5 gallons to paint the whole fence.

Step-by-step explanation:

Given:  Paint required to paint [tex]\dfrac47[/tex]of fence = 114 gallons

Then , paint required to paint whole fence = [tex]114\div\dfrac47[/tex]

i.e. paint required to paint whole fence = [tex]114\times\dfrac{7}{4}[/tex]

i.e.  Paint required to paint whole fence= 199.5 gallons

Hence, it will take 199.5 gallons to paint the whole fence.

The rate of sales tax on trousers is 10%. One can buy a pair of trousers at $ 660. What is the marked price?

Answers

Answer: $600

Step-by-step explanation:

The marked price is the price of the trouser without a sales tax.

The sales tax is 10% which means it increased the marked price by 10% to get to $660.

Assume that price is x:

660 = (1 + 10%) * x

x = 660/(1 + 10%)

x = $600

Quiz
5
5x-2x = 7
x+y=7

Answers

Answer:

x= 7/3, y= 14/3

Step-by-step explanation:

5x-2x=7

x+y=7

Evaluate 5x-2x=7

5x-2x=3x

3x=7

divide both sides by 3

x=7/3

plug the x value into the second equation

7/3+y=7

subtract 7/3 from both sides

y=7-7/3

evaluate

21/3-7/3=14/3

x= 7/3, y= 14/3

Please please help me please

Answers

Answer:

6.09

Step-by-step explanation:

With reference angle 29°

hypotenuse (h) = 7

base (b) = x

Now

cos 29° = b / h

0.87 = x / 7

x = 0.87 * 7

x = 6.09

Hope it will help :)

Please help me with the correct answer

Answers

Answer: Zero slope.

Step-by-step explanation: The line does not increase or decrease, so your two options are undefined or zero. If the line were vertical (up and down), the slope would be undefined since there would be many y-values for one x-value. Since the line is horizontal (right to left), though, each x-value only has one y-value. Since the y-value doesn’t change, the slope is zero.

Tan theta * tan 2theta = 1, cos 2theta =?

Answers

Answer:123445

Step-by-step explanation: sorry I need to answer a question to get a free answer so sorry

-3 ≥ 1/3 (6 - x) please help, its the only one im stuck on!!!

Answers

Answer:

x is less than or equal to 15

Step-by-step explanation:

-3 > 2 - 1/3x

(times 3) -5 > -1/3x (times 3)

x< 15

Answer:

x ≥ 81/13

Solve the inequality.

please help me please will give brainliest

only jobs​

Answers

Answer:

A vetenarian a construction worker a babysitter and a chef

Step-by-step explanation:

first 4 that poped in my head

Thomas bought a new backpack that was 30 off the original price.The sale resulted in a $15 discount.What was the original price of the backpack?

Answers

Answer:

30% = $15

1% = $15 ÷ 30 = $0.50

100% = $0.50 x 100 = $50

$50

Catherine is going cycling with 3 friends. They take 2 L of water for each person. At the end of the day they have 0.8 L of water left. How much water have they drunk?

Answers

Answer:5.2L

Step-by-step explanation:

They take 2L for 3 friends.

2 times 3=6L

Athe end of the day they have 0.8L left.

6L-0.8L=5.2L

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