How does the graph of f(x)=1/3|x+2| compare to the graph of g(x)=|x|

Answers

Answer 1

Answer:

compare to g(x) , f(x) is compressed vertically by a factor of 1/3 and shift horizontally to left for 2 units

Step-by-step explanation:

Explain in answer


Related Questions

In ARST, the measure of T=90°, ST = 7.7 feet, and RS = 9.7 feet. Find the measure
of R to the nearest degree.
9.7
7.7
X
T
R
Answer:
Submit Answer

Answers

Answer: 53

Step-by-step explanation:

Answer:

53

Step-by-step explanation:

triangle has vertices A( 0,0 ), B(2, 0) and C(0, 4). Angle ABC is transformed to angle A"B"C" by a rotation of 180 degrees clockwise about the origin, followed by a dilation with the origin as the center of dilation and scale factor of 3. find the coordinates of the vertices of angle A"B"C" and state whether the two triangles are similar or congruent.

Answers

Step-by-step explanation:

The pre-image points are A( 0,0 ), B(2, 0) and C(0, 4). The question is asking you to rotate the traingle 180°. Each rotation has its rules. For 180° rotation our rule is (x,y) → (-x,-y). Let's apply that to our points:

A( 0,0 ), → (0,0)

B(2, 0) → (-2,0)

and C(0, 4). → (0,-4)

Now we dilate our point ( remember the order in which you do transformation is important. Since it saids the rotation is followed that means the dilation is done second)

Our scale factor is 3. Remember when our scale factor is more than one our shape gets bigger. So our rule is (x,y) → (kx,ky). Let's apply our scale factor to all our points:

(0,0) → (0,0)

(-2,0)→( -6,0)

(0,-4) → (0,-12)

The answer is

A' (0,0) B' (-6,0) C' (0,-12)

The triangles will be similar not congruent. Remember congruent triangles have the same angles and same sizes. Similar angles have the same angles BUT different sizes. Every transformation produces congruent angles except for dilations.

Noah and Lin are making paper cones to hold popcorn to hand out at parent math night. They want the cones to hold 9 cubic inches of popcorn. What are two different possible values for height h and radius r for the cones?

height (h)=

radius (r)=

Answers

Answer:

So, The possible values of h and r are

1. r = 3 , h = 3

2. r = 1, h = 27

3. r = 2, h = 6.75

Step-by-step explanation:

P.S - The exact ques is -

As we know that Volume of cone , V = [tex]\frac{1}{3}\pi r^{2}h[/tex]

As given,

V = [tex]9\pi[/tex]

⇒[tex]\frac{1}{3}\pi r^{2}h = 9\pi \\ \frac{1}{3} r^{2}h = 9 \\r^{2}h = 27[/tex]

So,

The possible values of h and r are

1. r = 3 , h = 3

2. r = 1, h = 27

3. r = 2, h = 6.75

In Case I-

When r = 3, h = 3

(3)² ×3 = 9×3 = 27

Satisfied

Case II-

r = 1, h = 27

(1)²×27 = 1×27 = 27

Satisfied

Case III-

r = 2, h = 6.75

(2)²×6.75 = 4×6.75 = 27

Satisfied

If the radius of the base of the cone is 2 inches then the height of the cone should be 2.1485 inches.

What is the volume of the cone?

The volume of the cone is the volume occupied by the cone. It is given by the formula,

[tex]\text{Volume of the cone}= \dfrac{1}{3} \pi r^2h[/tex]

where r is the radius of the base, and h is the height of the cone.


Now, as it is given that cones need to hold 9 cubic inches of popcorn. therefore, the volume of the cone can be written as,

[tex]\text{Volume of the cone}= \dfrac{1}{3} \pi r^2h\\\\9 \times 3 = \pi r^2h\\\\\dfrac{9 \times 3}{\pi}=r^2 h\\\\8.5943 = r^2 h[/tex]

Thus, the product of the square of the radius and the height of the cone should be such that the result is 8.5943.

Now, let the radius of the cone be 2 inches, therefore, the height of the cone is,

[tex]8.5943 = r^2 h\\\\8.5943 = (2^2) h\\\\h = 2.1485\rm\ in[/tex]

Hence, if the radius of the base of the cone is 2 inches then the height of the cone should be 2.1485 inches.

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simple true and false question

Answers

Answer:

true

Step-by-step explanation:

False, the value would be -2

who created NAACP? Please Help!!!

Answers

Answer:

NAACP Founder Charles Edward Russell

Step-by-step explanation:

from g o o g l e

Answer:

Derrick Johnson

Step-by-step explanation:



Pls help will give Brainliest if right, Don’t guess

Answers

It’s a every minute he scores one more point

Solve the system of equations for x, y, and z. Please explain/step-by-step so I can understand. Thanks!

x + y = -7
y + z = -7
x - z = 0

Answers

Answer:

Step-by-step explanation:If we add the first and second equations, we will eliminate both the x and the y.

(2x + y + z) + (2x - y - z) = (3) + (9)

2x + y + z + 2x - y - z = 3 + 9

4x = 12

x = 3

So, x must equal 3.

Now, if we put 3 into each equation, we have the following equations:

6 + y + z = 3

6 - y - z = 9

3 + y - z = 0

Now, we can move all the numbers to the right side:

y + z = -3

-y - z = 3

y - z = -3

Now, we can try to eliminate another variable. If we add the second two equations, we can eliminate y.

(-y - z) + (y - z) = (3) + (-3)

-y -z + y - z = 0

-2z = 0

z = 0 (because, if we divide both sides by -2 to isolate z, 0/[-2] = 0)

So, now we have x = 3 & z = 0.

Now, pick any of the original equations and plug these values of x & z in, and you will get y.

2x + y + z = 3

2(3) + y + 0 = 3

6 + y + 0 = 3

6 + y = 3

y = -3

So, now we have x = 3, y = -3, & z = 0.

These are the only x, y, and z values that work for all 3 equations

Determine whether the graph represents a function. Explain.

Answers

Answer:

it does not represent a function

Step-by-step explanation:

it is not liner

Answer:yes

Step-by-step explanation:

each x value has one y value

Without graphing, find the slope of the line that goes through (2, -1) and (6, 1). *

Answers

Answer:

m=1/2

Step-by-step explanation:

By counting, the y-value goes up 2 and the x-value goes up 4. This gives you 2/4, which simplifies to 1/2

If 4 units equal 36 inches, what is the value of 1 unit

Answers

Answer:

9 inches

Step-by-step explanation:

i divided 36 by 4

Answer:

9 inches

Step-by-step explanation:

You divide 36 by 4 which gives you 9 inch

Mark Brainliest Pls :(

3y = x -4
5x - 6y = 8
How many solutions does the system have?
O One solution
O No solution
0 Infinitely many solutions

Answers

Answer:

can you pls show more......

Step-by-step explanation:

i think there is one solution

what is 8 times 9x
15 points for the person that answers this

Answers

8(9x)
= 8(9)(x)
= 72(x)= 72x

? divided by 1/3= 9/10

Answers

Answer:

3/10

Step-by-step explanation:

because if you use a calculator that answer would be 0.9 which is 9/10 as a decimal and if u did it yourself then you would do 1/3 x 9/10 and you would get 9/30 which is 3/10 if u simplify it

!!!!PLEASE HELP, PLATO TEST AND WILL GIVE FIRST CORRECT SERIOUS ANSWER BRAINLIEST!!!!

How many possible 3-digit area codes exist If 0 can't be the first digit, but digits can repeat?

A total of _?_ different 3-digit area codes exist.​

Answers

The number of possible 3 - digit codes would be 900.

What is combination?

"A combination is a way of selecting items from a collection."

For given situation,

It is a three digit code with 0 can't be the first digit.

This means the for this combination first digit can takes values from 1 - 9 and the second and third digits can take values from 0 - 9.

So, the number of possible 3 - digit codes would be,

9 × 10 × 10 = 900

Therefore, the number of possible 3 - digit codes would be 900.

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help will give brainliest

Answers

Answer:

18 and 32

Step-by-step explanation:

please help!!!!!!!!!!!!!!!!!

Answers

Answer:

y = 2/3x + 4

Step-by-step explanation:

Slope-intercept form of a line:

y = mx + bwhere m = slope and b = y-intercept

To find the equation of a line, we need two points that the line passes through.  

We can use the x-intercept and y-intercept of the line: (-6,0) and (0,4), respectively.

Find the slope of the line using these two points:

Slope formula: [tex]\displaystyle \bf \frac{y_2-y_1}{x_2-x_1}[/tex]

Plug the two points into the formula.

[tex]\displaystyle \frac{4-0}{0-(-6)}[/tex]

Subtract and simplify this fraction.

[tex]\displaystyle \frac{4}{6} =\frac{2}{3}[/tex]

The slope of this line is m = 2/3.

Now we can look at the graph to determine the y-intercept of this line; the line intersects the y-axis at (0,4) so the constant b = 4.

We can use the slope, m, and the y-intercept, b, and substitute these values into the slope-intercept form of a line.

y = 2/3x + 4

The equation of the line is y = 2/3x + 4.

Answer:

y = 2/3x + 4

Step-by-step explanation:

Slope-intercept form of a line:

y = mx + b

where m = slope and b = y-intercept

To find the equation of a line, we need two points that the line passes through.  

We can use the x-intercept and y-intercept of the line: (-6,0) and (0,4), respectively.

Find the slope of the line using these two points:

Slope formula:  

Plug the two points into the formula.

Subtract and simplify this fraction.

The slope of this line is m = 2/3.

Now we can look at the graph to determine the y-intercept of this line; the line intersects the y-axis at (0,4) so the constant b = 4.

We can use the slope, m, and the y-intercept, b, and substitute these values into the slope-intercept form of a line.

y = 2/3x + 4

The equation of the line is y = 2/3x + 4.

20% of the tickets sold at a school carnival were early-admission tickets. If the school sold 30 tickets in all, how many early-admission tickets did it sellz?

Answers

Answer:

6 early-admission tickets.

Step-by-step explanation:

20% / 100 = 0.2 ; Dividing a percentage by 100 will give you its actual value, instead of the percentage.

0.20 x 30 tickets = 6 early-admission tickets. ; What we're saying here is that since 0.20 and 20% are the same, we can figure out what 20% of 30 is, which is 6.

The left side of a logarithmic equation is shown.
log (3 + 2) + log (3 + 3) + log (7 - 2) = ...
When the equation is solved, the potential solutions are r = {5,3,1, 0}. Which solutions must be excluded?
A.-5, - 1,0
B.-5,8
C.-1,8
D.-5,-1

Answers

A-5 I think it’s true becuase I had the same question and got it correct

solve for x and round to the nearest tenth. please help! i will mark brainliest.

Answers

Answer:

25 divided by 40=0.625 rounded is 0.6 is ur answer!

Step-by-step explanation:

how do i find the values of x and y that make the quadrilateral a parallelogram​

Answers

4x+13=5x-12
-4x. +12

25=x

3(25)-8=4y+7
75-8=4y+7
67=4y +7
-7


60=4y
y=15

lol i know this is correct bc this was a problem on my homework a couple days ago and i got it right

The values of x and y that make the quadrilateral a parallelogram​ are, X = 25 & Y = 15

What is quadrilateral?

Quadrilateral are the type of polygon who has 4 sides, on the basis of length and angle between sides we can further classify quadrilateral into following categories;

for example, Rectangle, Square, Parallelogram, Rhombus, Trapezium

Given that,

A parallelogram whose all the angles are,

(4x + 13)°, (4y + 7)°, (3x - 8)°, (5x - 12)°

It is known that,

Opposite Interior angles of  parallelogram are equal

so,

⇒ (4x + 13) = (5x - 12)

⇒  x = 25

⇒  (4y + 7) = (3x - 8)

⇒   4y + 7  = 75 - 8

⇒   4y = 60

⇒    y = 15

Hence, the values of x and y are respectively 25, 15

To know more about Quadrilateral check:

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Can someone help me find out what’s the nth formula equation
An example is where it should look like 6•5^n-1
Or 7n-4 (that’s an example) if it’s correct I’ll mark u brainiest.

Answers

Part (a)

This sequence is arithmetic because we are adding 4 to each term to get the next term. Nice work on getting the correct answer here.

To get the nth term of an arithmetic sequence, we'll use the formula below

an = a + d(n-1)

In this case, a = 14 is the first term and d = 4 is the common difference

So we have these steps

an = a + d(n-1)

an = 14 + 4(n-1)

an = 14 + 4n - 4

an = 4n + 10

Answer: 4n + 10

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

Part (b)

This sequence is geometric since we multiply each term by 4

The common ratio is r = 4 and the start term is a = 2.

So the nth term is....

an = a*(r)^(n-1)

an = 2*(4)^(n-1)

Answer: 2*(4)^(n-1)

Hello someone please help ASAP!!

Answers

Answer:

B

Step-by-step explanation:

A rational function range or possible answer cant be zero since on a rational function we dont want what we call vertical and horizontal asymptote are when y=0 or when x=0 so it can be any real number except 0.

solve the equation 52y-29=10 for y.

Answers

52y-29=10
+29 +29

52y=39

52/52 = 39/52

y=0.75
y=3/4

Answer:

The answer is B

Step-by-step explanation:

1. Given 10 items, how many ways can 5 of the items be arranged?

Answers

Answer:

2

Step-by-step explanation:

2 should be right I think

solve for b
-11b+7=40

Answers

Answer:-3

Step-by-step explanation:

40-7=33

33/-11=-3

(e) A cable customer feels that the monthly cost of cable TV increased the most. A grocery customer feels that the cost of a dozen eggs increased the most. Is it possible for both customers to be correct? Explain your response in one or two complete sentences.

Answers

Answer and explanation:

Cable tv cost changed by $67-$55= $12= 12/55×100=21.818%

Cable TV cost increased by 21.818% of original cost

Dozen of eggs cost changed by $2.19-$1.79= $0.4= 0.4/1.79×100= 22.636%

Dozen of eggs cost increased by 22.636% of original cost

Therefore both customers can't be correct, cost of a dozen of eggs increased the most.

Leroy borrowed $1500 at an annual simple interest rate of 12%. He paid $270 in interest. For what time period did Leroy borrow the money? Remember, your answer will be in years!

Answers

Step-by-step explanation:

well..this is the answer..using..time formula

the expression 2L+2w is used to find the perimeter of a rectangle with length L and width w. What is the perimeter of a rectangle with length 15cm and width 4cm?

Answers

Answer:

38cm

Step-by-step explanation:

p=2l+2w=2×15cm+2×4cm=30cm+8cm=38cm

Solve for h and explain your answer in terms of the original statement of the mountain
problem.

Answers

To find h you subtract 821 from 5323 to find the unknown number that is the same as h. Once u subtract 5323-821 you get 4,502. H= 4502

Simplify this radical expression, shown in the following image. ​

Answers

Answer:

ab²√b

Step-by-step explanation:

original problem can be changed to the square root of a²b²b²b

everything inside radical raised to the power of 2 can be moved outside so one ‘a’ and two ‘b’ come out giving you ab²

the b inside stays there because its exponent is one

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