what is the value of x?

Answer:

The final transformed function becomes:

[tex]f(x)=-3\,|x-2|+4[/tex]

Step-by-step explanation:

The first transformation (vertically stretched by a factor of 3) means we multiply by 3 the original function:

[tex]f(x)= 3\,|x|[/tex]

second transformation (shifted left 2 units) means we add 2 units to "x":

[tex]f(x)=3\,|x+2|[/tex]

third transformation (shifted down 4 units) implies that we subtract 4 units to the full functional expression:

[tex]f(x)=3\,|x+2|-4[/tex]

fourth transformation (reflected over the x-axis) implies that we multiply the full functional expression by "-1":

[tex]f(x)=(-1)\,(3\,|x+2|-4)\\f(x)=-3\,|x-2|+4[/tex]

Step-by-step explanation:

Step 1:  Add the vertical stretch

[tex]f(x) = |x|[/tex]

[tex]f(x) = 3|x|[/tex]

Step 2:  Shift it to the left 2 units

[tex]f(x) = 3|x|[/tex]

[tex]f(x) = 3|x + 2|[/tex]

Step 3:  Shift it down 4 units

[tex]f(x) = 3|x + 2|[/tex]

[tex]f(x) = 3|x + 2| - 4[/tex]

Step 4:  Reflect it across the x-axis

[tex]f(x) = 3|x + 2| - 4[/tex]

[tex]f(x) = -3|x + 2| - 4[/tex]

Answer:  [tex]f(x) = -3|x + 2| - 4[/tex]

Answer:

5340.7

Step-by-step explanation:

So the volume of a cone is πr^2 * h / 3

r = 15

h = 20

225π * 20 / 3 ≈ 5340.7

Approximately 5340.7

Answer:

408 units^2

Step-by-step explanation:

area of triangle: 1/2(6)(8)=24

24*2=48

area of bottom rectangle: 6(15)=90

area of front rectangle: 15(10)=150

area of back rectangle: 8(15)=120

48+90+150+120=408

Therefore, 408 units^2

I hope this helped and have a good rest of your day!

Answer:

The area of the sector is [tex]180\pi \ cm^2[/tex].

Step-by-step explanation:

We have,

Radius of circle is 15 cm

Central angle is [tex]\dfrac{8\pi}{5}\ \text{radian}[/tex]

It is required to find the area of the sector. The formula used to find the area of sector is given by :

[tex]A=\dfrac{1}{2}r^2\theta[/tex]

Plugging all the values in above formula as :

[tex]A=\dfrac{1}{2}\times 15^2\times \dfrac{8\pi}{5}\\A=180\pi \ cm^2[/tex]

So, the area of the sector is [tex]180\pi \ cm^2[/tex].

Answer:

75.36

Step-by-step explanation:

The circumference of a circle is just the diameter, 24 in this question times 3.14.

The solution is, 75.36 cm is the circumference, in centimeters, of the circle.

A perimeter can be mentioned as a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference. Calculating the perimeter has several practical applications.

Perimeter means to the total outside length of an object,

here, we have,

the diameter, 24 cm (in this question)

now, we have to find the circumference,

we know that,

The circumference of a circle is the diameter times 3.14.

so, we get,

the circumference = 24*3.14 cm

                               =75.36cm

Hence, The solution is, 75.36 cm is the circumference, in centimeters, of the circle.

Learn more about perimeter here:

brainly.com/question/397857

#SPJ6

Answer: [tex]5x\sqrt{3x}[/tex]

Step-by-step explanation:

The factors of 75 are 5, 5, and 3. Since there are two 5's, we can  take the square root of them to get 5. x^3 has x, x, and x. There are also two x's, which means that we can square root them to equal just x.

Answer:

the volume of the basketball when the radius is r

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

on edge took the test

Answer:

I think the perimeter is 8 yd

Step-by-step explanation:

Because it's a square, if one side is 2 yd then we can assume that the remaining 3 sides are also 2 yd long. So, 2 yd + 2 yd + 2 yd + 2 yd =  8  yd

Hope this helps :)

Answer:

Either A= (-3,10)

OR A= (-3,-6)

Step-by-step explanation:

A = (-3,y)    B = ​(3​,2​)

(Distance from A to B) = √[(-3-3)²+(y-2)²]=10

√[36+y²-4y+4]=10

√[y²-4y+40]=10

squaring on both sides

y²-4y+40=100

y²-4y-60=0

y²-10y+6y-60=0

y(y-10) + 6 (y-10)=0

(y - 10)(y + 6)=0

Either y=10 =>A= (-3,10)

OR y=-6 =>A= (-3,-6)

Answer:

18/55

Step-by-step explanation:

Answer:

12 hrs

Step-by-step explanation:

6+18 =24

24/2 = 12

Answer: 4h 30min

Step-by-step explanation: Theoretically, if X= Number of hours required to paint the room,

X(1/6+1/18)=1

X(3/18+1/18)=1

X(4/18)=1

X(2/9)=1

2/9X=1

X=9/2h, or 4 1/2 h

Answer:

2 12/35

Step-by-step explanation:

you have to change them into /35 so they'll add together.

Answer:

Exact Form:

47/35

Decimal Form:

1.34285714…

Mixed Number Form:

1  12/35

Step-by-step explanation:

Hope this helps : )

Answer:

Step-by-step explanation:

[tex]\frac{1}{2}:\frac{3}{5}=\frac{1*5}{2*5}:\frac{3*2}{5*2}\\\\=\frac{5}{10}:\frac{6}{10}\\\\= 5:6[/tex]

Answer:The area is 14306. 625 cm.

Step-by-step explanation:

To find the area of the circle, we will need to find the diameter and find the radius.

So we know the circumference is  423.9 m and we know to get the circumference, you will need to multiply pie by the diameter .

so now we need divide the circumference by pie to find the diameter.

423.9/ 3.14 = 135  so 135 is the diameter.

To find the radius we need to divide the diameter by 2.

135/2 = 67.5

Now is time to find the area which uses the formula  A= nr^2

A = 3.14 * 67.5^2

A = 14306. 625

Answer:

x = 15

Equation = x

                  __.  +4=9

                   3

Step-by-step explanation:

x = number

x

__.  + 4 =9

3

First, you subtract 4 on both sides of the equation to get x by itself.

x

__. = 5

3

Then, you multiply the denominator (3) on both sides to get x by itself

x = 15

Answer:

1,468 in³

Step-by-step explanation:

Find the volume of big rectangle = 1,500 in³

Find the volume of small rectangle = 32 in³

Subtract 32 from 1,500

So the right answer is 6ab

look at the attached picture

hope it will help you

Good luck on your assignment

Answer:

about 9.4 units

Step-by-step explanation:

Distance formula:

√(x1 - x2)² + (y2 - y1)²

Coordinates:

A (4, 2)

B (9, 10)

Let's make 9 = x1

Let's make 4 = x2

Let's make 10 = y1

Let's make 2 = y2

Substitute into the distance formula:

√(x1 - x2)² + (y2 - y1)²

√(9 - 4)² + (2 - 10)²

Solve:

√(9 - 4)² + (2 - 10)²

√(5)² + (-8)²

√25 + 64

√89

≈ 9.4

Therefore, the length of AB is approximately 9.4 units.

Answer:

About 9.4 units

Step-by-step explanation:

To find the distance between two points

d = sqrt(( y2-y1) ^2 + (x2-x1) ^2)  where (x1,y1) and (x2,y2) are the points

   =  sqrt(( 10-2)) ^2 + (9-4) ^2)

   =  sqrt((8) ^2 + (5) ^2)

   = sqrt(64+ 25)

    = sqrt(89)

   =9.433981132

About 9.4 units

Answer:

9.5%

.................

Answer:

it is 9.5%

Step-by-step explanation:

Answer:

5 and 4  and 6

Step-by-step explanation:

it is 5 and 4 because they are not angles inside the triangle

Answer:

Step-by-step explanation:

Subtract first from second

= 2x^2 + 3x + 5

Answer:

−2<x<1

Step-by-step explanation:

Let's solve your inequality step-by-step.

1<x+3<4

1+−3<x+3+−3<4+−3(Add -3 to all parts)

−2<x<1

Answer: −2<x<1

Hope this helps.

Answer:

The Flower Garden is not in the shape of a right Δ

Step-by-step explanation:

~ To prove that this garden is in the shape of a right triangle, it can be done so through contradiction ~

Pythagorean Theorem is applied to a right triangle, so we can say that the two legs are 10 and 7 feet, the hypotenuse being 13, knowing it is the longest side;

a^2 + b^2 = c^2,

10^2 + 7^2 = 13^2,

100 + 49 = 169,

149 ≠ 169,

So the Flower Garden will not be in the shape of a right Δ

Answer:

3

Step-by-step explanation:

Well first let's calculate how many times she jumped per hour. For that we need to divide 42 by 7 which is 6. Now we need to divide that by two because they are asking for every half hour, not every hour. So 6 divided by 2 is 3. So our answer is 3.

Answer:

63/90

Step-by-step explanation:

just subtract 27 from 90 and you will get 63 so jordan got 63 questions wrong out of 90 which means 63/90.

Answer:

7/10

Step-by-step explanation:

Hey there! :)

I believe the correct answer to your question is 12.

Find the prime factorization of 84

84 = 2 × 2 × 3 × 7

Find the prime factorization of 108

108 = 2 × 2 × 3 × 3 × 3

To find the gcf, multiply all the prime factors common to both numbers:

Therefore, GCF = 2 × 2 × 3

GCF = 12    

Hopefully this can help you out!

Answer:

2k + 5

Step-by-step explanation

did it on e2020

Answer:

First row, first column table

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

if you want to know if they are proportional, then do 1/2 = or not to 3/6.

continue doing this to the other numbers

Answer:

0/6, 1/3, 1/6, 5/6, 1/2, 2/3, 1/2, 1/3

Step-by-step explanation:

hope this helps