The graph of an absolute value function contains the points (1, 2), (0, 0), and (–1, 2). Shawn thinks the function this graph represents is f(x) = 2|–x|. Brielle thinks the function this graph represents is f(x) = 2|x|. Determine who is correct and explain why.

Answers

Answer 1

Answer:

Shawn and Brielle are correct, since absolute has the following property: [tex]|a| = |-a|[/tex], [tex]a\in \mathbb{R}[/tex]

Step-by-step explanation:

Both Shawn and Brielle are correct, because the absolute value has the following property:

[tex]|a| = |-a|[/tex], [tex]a\in \mathbb{R}[/tex]

Which means that [tex]|x|[/tex] and [tex]|-x|[/tex] gives the same result.

Answer 2

Answer:

Both Shawn and Brielle are correct. The absolute value parent function is symmetric with respect to the y-axis, and the absolute value of negative x is a reflection across the y-axis, so the graph of these two functions would look identical. Additionally, if you wanted to verify that the given points are on the graph of both functions, you could substitute them into the functions to get true statements.

Step-by-step explanation:

Sample Answer on Edge


Related Questions

Which graph represents all of the solutions of

Answers

Step-by-step explanation:

Solve the inequality for b

-15b <= 45 divide both sides by -15, since you're dividing by a negative number switch the direction of the sign.

b >= -3

So, your number line is all values of b greater than or equal to -3. Since it is including -3, the circle will be filled and increase to the positive.

jester has a piece of wood measuring 1 and 2/3 m.he needs to cut in pieces measuring 3/4 m. long.how many pieces of wood did jester cut.​

Answers

Answer:

2

Step-by-step explanation:

Given that,

Jester has a piece of wood measuring 1 and 2/3 m = 5/3 m

He needs to cut in pieces measuring 3/4 m

We need to find the number of pieces. Let there are x no. of pieces.

[tex]x=\dfrac{\dfrac{5}{3}}{\dfrac{3}{4}}\\\\=\dfrac{5}{3}\times \dfrac{4}{3}\\\\=2.23\[/tex]

or

x = 2

So, he will cut it into approx 2 pieces.

What is the image of (−8,−8) after a dilation by a scale factor of 1/2 centered at the origin?

Answers

Answer:

(-4,-4)

Step-by-step explanation:

Since this is centered at (0,0), we have to multiply the x and the y coordinates by the scale factor.

-8 × 1/2 = -4

How many ways can Rudy choose 4 pizza toppings from a menu of 14 toppings if each topping can only be chosen once

Answers

Answer:

24,024

Step-by-step explanation:

Calculation for How many ways can Rudy choose 4 pizza toppings from a menu of 14 toppings

The 4 pizza toppings from a menu of 14 toppings will be 14,13,12,11

Hence,

14*13*12*11=24,024

Therefore the numbers of way Rudy can choose 4 pizza toppings from a menu of 14 is 24,024

The ______ of a function consists of set of all output values

Answers

Domain and range :))))

SOMEONE PLEASE PLEASE HELP ME ON THIS!!

Answers

X=22

14 plus 8 gives you x

[tex]\frac{x}{20} =\frac{14}{8} \\x=\frac{14}{8} \times 20=35[/tex]Answer:

35

Step-by-step explanation:

The value of the square root of 14 is between which two integers?

Answers

3 and 4

3x3=9
4x4=16
14 is between 9 and 16.

1 hours 20 min : 2 hours ratio

Answers

1:20 i think sooo.Je suis américain et habite dans les montagnes vertes du vermont . Je premier apprend français il y a un an parce que c'est un beau langue . Oui, je sais mon français est mauvais, mais J'aime l'apprendre . Je suis dix-sept et j'ai un chien blanc petit . Ma famille l'appelle snowball et il est tres gentil . Mon préféré endroit en la monde est les montagnes car ils sont très beau dans tout quatre saisons . Merci pour votre temps et au revoir .

Consider a binomial experiment with n = 5 trials where the probability of success on a single trial is p = 0.30. (a) Find P(r = 0). (b) Find P(r ≥ 1) by using the complement rule.

Answers

Answer:

0.16807 ; 0.83193

Step-by-step explanation:

Given that:

Number of trials, n = 5

Probability of success, p = 0.30

P(r = 0)

Using the binomial probability relation :

P(x =r) = nCr * p^r * (1 - p)^(n - r)

(a) Find P(r = 0).

P(r = 0) = 5C0 * 0.3^0 * (0.7)^(5- 0)

= 1 * 1 * 0.16807

= 0.16807

(b) Find P(r ≥ 1) by using the complement rule

P(r ≥ 1) = 1 - P(r = 0)

P(r ≥ 1) = 1 - 0.16807

P(r ≥ 1) = 0.83193

The angle measurements in the diagram are represented by the following expressions.
B
А
Solve for x and then find the measure of

Answers

Answer:

[tex]x = 20^{\circ}[/tex]

[tex]\angle A = 150^{\circ}[/tex]

Step-by-step explanation:

Given

[tex]\angle A = 8x - 10[/tex]

[tex]\angle B = 3x + 90[/tex]

See attachment

From the attachment A and B are vertically opposite.

This implies that:

[tex]\angle A = \angle B[/tex]

Substitute values for A and B

[tex]8x - 10 = 3x + 90[/tex]

Collect Like Terms

[tex]8x - 3x = 10 + 90[/tex]

[tex]5x = 100[/tex]

Solve for x

[tex]x = \frac{100}{5}[/tex]

[tex]x = 20^{\circ}[/tex]

Substitute 20 for x in [tex]\angle A = 8x - 10[/tex]

[tex]\angle A = 8 * 20 - 10[/tex]

[tex]\angle A = 150^{\circ}[/tex]

Multiply The polynomials. (3x^2+4x+4)(2x-4)

Answers

Answer:

6x^3 - 4x^2 - 8x - 16

Step-by-step explanation:

6x^3 + 8x^2 + 8x - 12x^2 - 16x - 16

combine

6x^3 - 4x^2 - 8x - 16

Convert the mixed number below to an improper fraction.

523

Answers

Answer:

17/3

Step-by-step explanation:

if you meant 5 2/3

Multiply the denominator by the whole number

3 x 5= 15

Add the answer above to the numerator

15 + 2= 17

Write the answer from above over the denominator

17/3

can someone older tell me if i should drop out of high school and why or not

Answers

Hello there maybe you shouldn't drop out of highschool because you might find some opportunities and um its your choice.

Solve.
-|-10|+ (-3) + |5|=
A. -18
B-8
C. 8
D. 12
E18

Answers

Answer:

The answer is for-|-10|+(-3)+|5|=-8 which is B

what is the quotient? can someone please help.

Answers

Answer:

-3

Step-by-step explanation:

hope this helps

please answer asap no trolls!

Answers

Answer:

Yes.

Step-by-step explanation:

3.5 + 5.5 > 7.8

Pleaseee help!!!!!!!!

Answers

Answer:

no

Step-by-step explanation:

no

Find the slope intercept equation of the line

PLEASE HELP ME!!!!!

Answers

Answer:

y = -x + 6

Step-by-step explanation:

Slope-intercept form:

y = mx + b, where m is slope and b is y-intercept

We see on the graph y-intercept is b = 6,  point (0.6)

To find the slope we need a second point, choosing point (5, 1)

Using slope formula:

m = (1- 6)/(5 - 0) = -5/5 = -1

So the line is:

y = -x + 6

Answer:

y = -4/5x + 5

Step-by-step explanation:

the formula for slope intercept is y=mx+b.

m represents the slope of the line and b is the y intercept. all you have to do is replace those variables.

the y intercept is the point where the line crosses the y-axis (the line going up and down on the graph). (0,5) is the y intercept and so 5 would replace b in y=mx+b

so far we have y=mx+5

The slope is the vertical change between two points is called the rise, and the horizontal change is called the run. Starting from a point on the line you would move vertically until you're in line with another point. In this case, let's just use (0,5) from before. You would go up four to line up with a point. Then, move horizontally to meet up with the point and count the units, which is five here. And so, the slope would be 4/5.

And then you get the equation:

y=4/5x+b

Evaluate x - 20 when x=3

Answers

Answer:

-17

Step-by-step explanation:

Plug in 3:

3 - 20 =

Solve:

3-20 = -17

Answer:

-17

Step-by-step explanation:

I replaced 3 for x, I solved the equation 3-20, which is equal to -17

24/7 as a fixed number

Answers

Answer: 24/7 as a mixed number is 3 3/7

Answer:

3 3/7 (mixed number)*


Between what two multiples of ten is 328

Answers

Answer:

It's between 32 (which is 320) and 33 (which is 330).

Step-by-step explanation:

328 / 10 = 32.8

328 is between the multiple 320 and 330

The triangle is rotated 90 degrees clockwise around the pount (0,0)

Answers

Answer:

(2,6)

Step-by-step explanation:

Option:B

The triangle is rotated 90 degree clockwise around the point (0,0). The point is (-6,2) is made to rotate. The image so formed is at the point (2,6).

What is the Distance between 6+3i, 6-3i

Answers

2-8..........

ITS UR ANSWER!,

There are two identical bottles. One bottle contains 2 green balls and 1 red ball. The other contains 2 red balls. A bottle is selected at random and a single ball is drawn. What is the probability that the ball is red

Answers

Answer:

2/3

Step-by-step explanation:

P(b1) = probability of bottle 1 = 1/2

P(b2) = probability of bottle 2 = 1/2

Bottle 1 = 2 green, 1 red ; total = 3

P(red ball1) = 1/3

Bottle 2 : red balls = 2, total balls = 2

P(red ball2) = 2/2 = 1

P(red ball) = [p(b1) * p(redball1)] = 1/2 * 1/3 = 1/6

P(red ball) = [p(b2) * p(redball2)] = 1/2 * 1 = 1/2

1/6 + 1/2 = (1 + 3) / 6 = 4/6 = 2/3

Calculate the correlation coefficient, r, for the data below.

Answers

This question is incomplete, the complete question is;

Calculate the correlation coefficient, r, for the data below.

X = -10  -8  -1  -4  -6  -7  -5  -3  -2  -9

Y = -15  -13  4  -4  -7  -11  -6  -2  1  -13

Answer: the correlation coefficient, r, for the data is 0.9896

Step-by-step explanation:

Given the data in the question;

correlation coefficient r = ?

we know that, C_Coeff is;

r = [ (Zn(∑xy) - (∑x)(∑y) ] / [ √[( n∑x² - (∑x)²) ( n∑y² - (∑y)²)] ]

so ;

       X        Y        X²        Y²        XY

     -10     -15       100      225      150

     -8      -13        64       169       104

     -1         4          1        16           -4

     -4       -4         16       16           16

     -6       -7         36      49          42

     -7       -11         49      121         77

     -5       -6         25      36         30

     -3       -2          9         4            6

     -2       1            4         1            -2

     -9      -13         81       169         117

∑   -55     -66      385     806        536

now we substitute our values into the formula

r = [ (10×536 - (-55)(-66) ] / [ √[( 10×385 - (-55)²) ( 10×806 - (-66)²)] ]

r = 1730 / √( 825 × 3704 )

r = 1730 / √3055800

r = 1730 / 1748.0846

r = 0.9896

Therefore the correlation coefficient, r, for the data is 0.9896

Name the factors in each of the following problems

Answers

Ok sure, lol.
Can’t see anything

A weather report stated that the monthly rain amounts for the past three months were 15.82 inches, 17.4 inches, and 9.56 inches.
What is the total amount of rainfall for the three months?
A. 27.12 inches
B. 41.178 inches
C. 42.42 inches
D. 42.78 inches

Answers

Answer:

42.78 inches

Step-by-step explanation:

The anount of rainfall for the past three months are

15.82 inches

17.4 inches

9.56 inches

Therefore the total amount of rainfall for the three months can be calculated as follows

= 15.82+17.4+9.56

= 42.78

Hence the total rainfall for three months 42.78 inches

I think this is right but want to check need help 25 points!!!

Answers

Answer:yes your Most definitely correct

Step-by-step explanation:

there are 36 playing tag at recess. this is 6 times as many playing hopscotch. which model shows this comparison?

i got the top one to the left (checking my answer)

Answers

Answer:

The top left one is correct.

Step-by-step explanation:

We can rewrite this as an algebraic expression simply so it's easier to read.

Let's say hopscotch is [tex]h[/tex]. Tag is 6 times [tex]h[/tex], or [tex]6h[/tex].

That means for every 1 unit of hopscotch, there are 6 units of tag.

The top left one is correct.

Can y’all help me solve this.
Please!!!!!!!

Answers

9514 1404 393

Answer:

  all statements are true

Step-by-step explanation:

The line 4y=-16 can be rewritten to standard form as ...

  y = -4 . . . . a horizontal line with all points having y-coordinate = -4

__

The line 3x = 27 can be rewritten to standard form as ...

  x = 9 . . . . a vertical line with all points having x-coordinate = 9.

__

All of the statements about these lines are true.

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