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

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.

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)

Answer:-3

Step-by-step explanation:

40-7=33

33/-11=-3

Step-by-step explanation:

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

Answer:

The answer is B

Step-by-step explanation:

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

Answer: 53

Step-by-step explanation:

Answer:

53

Step-by-step explanation:

Answer:

38cm

Step-by-step explanation:

p=2l+2w=2×15cm+2×4cm=30cm+8cm=38cm

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.

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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Answer:

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

Step-by-step explanation:

Answer:

can you pls show more......

Step-by-step explanation:

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.

Answer:

true

Step-by-step explanation:

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

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 :(

Answer:

18 and 32

Step-by-step explanation:

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

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

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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.

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.

Answer:

2

Step-by-step explanation:

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

Answer:

y = 2/3x + 4

Step-by-step explanation:

Slope-intercept form of a line:

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:

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.

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.

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

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

"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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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

Answer:

NAACP Founder Charles Edward Russell

Step-by-step explanation:

from g o o g l e

Answer:

Derrick Johnson

Step-by-step explanation: