System of linear inequalities

Answer:

A

Step-by-step explanation:

Khan academy

The equation for the g(x) is g(x) = -4|x| if function g can be thought of as a scaled version of f(x)=|x| option (B) is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

Function g can be thought of as a scaled version of f(x)=|x|

The function f(x):

f(x) = |x|

The blue lines represent the function f(x)

First reflect the function f(x) around the x-axis

F(x) = -|x|

Multiply by the factor 4 to stretch the function:

g(x) = -4|x|

Thus, the equation for the g(x) is g(x) = -4|x| if function g can be thought of as a scaled version of f(x)=|x| option (B) is correct.

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Answer:

No! They are not proportional!

Step-by-step explanation:

Proportional prices to the length means that

(price 1/length 1)=(price 2/length 2)=(price 3/length 3)

Even by plugging in the numbers yourself to double check my numbers, and getting and answer for each ratio, it is clear that they are not proportional.

Answer:

The ratio of screen length to price in the first row is 16/160, which simplifies to 1/10.

The ratio of screen length to price in the second row is 20/180, which simplifies to 1/9.

The ratio of screen length to price in the third row is 24/200, which simplifies to 3/25.

Because 16/160 doesn't = 20/180 doesn't = 24/200, the ratios are not equivalent. This is not a proportional relationship.

Answer:

(B) 9π in²

Step-by-step explanation:

I’m going to assume that by 6 inches you meant 6π inches.

If the circumference of a circle is 6π inches, then it’s radius will be half of 6 (because the circumference of a circle is [tex]2\pi r[/tex]).

[tex]6\div2=3[/tex]

So the radius is 3.

Now that we know the radius, we can find the area by using the equation [tex]\pi r^2[/tex].

[tex]\pi 3^2\\\pi9\\9\pi[/tex]

Hope this helped!

Answer:

Step-by-step explanation:

2πr = 6, r = 3/π

πr² = π(3/π)² = 9/π in.²

Answer:

(2,0)    ( -1,0)

Step-by-step explanation:

y =3x^2-3x-6

Let y = 0 and solve for x to find the x intercepts

0 =3x^2-3x-6

Factor out a 3

0 =3(x^2-x-2)

Factor inside the parentheses

0 = 3( x-2) (x+1)

Using the zero product property

x-2 =0    x+1 = 0

x=2      x = -1

(2,0)    ( -1,0)

Answer:

[tex]\large \boxed{\mathrm{a. \ x-intercepts: (-1,0) \ and \ (2,0)}}[/tex]

Step-by-step explanation:

The x-intercept(s) is when y = 0.

3x² - 3x - 6 = 0

Factor left side of the equation.

3(x + 1)(x - 2) = 0

Set factors equal to 0.

x + 1 = 0

x = -1

x - 2 = 0

x = 2

The x-intercepts are (-1, 0) and (2, 0).

Answer:

refer to the pic attached

Answer:

dependent

Step-by-step explanation:

This is a dependent event.  There is one less marble in the bag to choose from

Say there was 1 red marble and 4 blue marble.  You drew the red marble on the first pick, now you cannot get a red marble on your second pick.

If you drew a blue marble on the first pick you could get a red marble on the second pick.

So what happens on the first pick affects the second pick

Answer:

f = - [tex]\frac{19}{7}[/tex]

Step-by-step explanation:

Given f varies directly with m then the equation relating them is

f = km ← k is the constant of variation

To find k use the condition f = - 19 when m = 14, thus

- 19 = 14k ( divide both sides by 14 )

- [tex]\frac{19}{14}[/tex] = k

f = - [tex]\frac{19}{14}[/tex] m ← equation of variation

When m = 2, then

f = - [tex]\frac{19}{14}[/tex] × 2 = - [tex]\frac{19}{7}[/tex]

Answer:

theta  = 180 -(A +B)

Step-by-step explanation:

The sum of the angles of a triangle is 180

theta + A + B = 180

solve for theta

Subtract ( A + B) from each side

theta +A+B -(A +B) = 180 -(A +B)

theta  = 180 -(A +B)

Answer:

mean would decrease

Step-by-step explanation:

Answer:

[tex]\boxed{x = -5/21}[/tex]

Step-by-step explanation:

Hey there!

To simplify we need to combine like terms and use the communicative property,

34x + 6 = 1 + 13x

-13x to both sides

21x + 6 = 1

-6 to both sides

21x = -5

Divide both sides by 21

x = -5/21

Hope this helps :)

Answer: I'm guessing you need me to solve this for you.

I interpreted the equation this way: 34x + 6 = 1 + 13x

The solution is -5/21.

Step-by-step explanation:

34x + 6 = 1 + 13x

Step 1: Simplify both sides of the equation.

34x + 6 = 13x + 1

Step 2: Subtract 13x from both sides.

34x + 6 − 13x = 13x + 1 − 13x

21x + 6 = 1

Step 3: Subtract 6 from both sides.

21x + 6 − 6 = 1 − 6

21x = − 5

Step 4: Divide both sides by 21.

21x/21 = -5/21

x = -5/21

Hope this helped you!

Answer:

Option 1 and option 4

Step-by-step explanation:

The inverse of 12^2 is the √12 so option 4 is correct. 12^1/2 also equals √12 so option 1 is also correct.

Answer:

12 [tex]\frac{2}{1}[/tex]

Step-by-step explanation:

Answer:

3,781

Step-by-step explanation:

To solve this problem, we will find the area of the whole circle and use that to find teh area of the 60º section.

First, recognize the formula for the area of a circle:

A = 3.14[tex]r^{2}[/tex]

In this scenario, the radius (r) is 85 feet:

A = 3.14(85[tex])^{2}[/tex]

A circle is 360º and we only require the area of 60º. 360º / 60º = 6 so we will divide by 6:

A = [tex]\frac{3.14(85)^{2} }{6}[/tex]

Finally, we will simplify and round:

A = 3,781

Answer:

[tex] = - ( \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} )[/tex]

Step-by-step explanation:

[tex] - {(3)}^{ - 4} = \\ - ( { 3}^{ - 4} )= \\ - (\frac{1}{ {3}^{4} } )[/tex]

[tex] = - ( \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} )[/tex]

[tex] = - \frac{1}{81} [/tex]

I hope it helps

Answer:

5,580

Step-by-step explanation:

Rectangle: 36x30x60=6480

Triangle: 1/2x15x20x6=900

6480-900=5,580

The foam are used to package this product is cubic centimeters.

The Area of the rectangular prism is the product of the length, breadth, and height of the given prism.

Area of rectangular prism = 2(length x width + length x height + width x length)

Area of rectangular prism = 2( 36 x 30 + 30 x60 + 60 x 36)

= 10080 cubic centimeters

Let's find the base area:

The formula to find the base area is,

B = ½bh

Triangle area = 1/2 x 15 x 20 x 6

Triangle area = 900

10080 - 900 = 9180

Hence, the foam are used to package this product is cubic centimeters.

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Ok so the letters overwrap all of the alphabets and the other terms are in.

Answer:

see below

Step-by-step explanation:

Consonants and vowels do not overlap

There are no consonants that are vowels and no vowels that are consonants

That means the circles will never touch

Answer:

32

Step-by-step explanation:

the country would need 30 to 33 trees

Step-by-step explanation:

distance around the running track means to find the perimeter of whole solid figure

radius(r) = 30/2 =15m

perimeter = 50+ pi× r + 50+ pi × r

= 100 + 2 × pi ×r

= 100 + 2× 22÷7 × 15

= 1360/ 7 m

= 194.285 m

Answer:

a

Step-by-step explanation:

Answer:

sorry i am late but the answer is The name of the shape on the right is M prime N prime O prime P prime Q prime R prime S prime because it is the image of the shape on the left. and if you dont  want to read that  its D

hope it helped anyone :)

The name of the shape on the right is M’N’O’P’Q’R’S' because it is the pre-image of the shape on the left

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Translation is the movement of a point up, down, left or right.

The name of the shape on the right is M’N’O’P’Q’R’S' because it is the pre-image of the shape on the left

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Answer:

Step-by-step explanation:

6):

Take the small right triangle with the sides 25 and 7.

☆ The Pythagorian theorem ☆

Let x be the third side.

● 25^2 = x^2 + 7^2

Substract 7^2 from both sides

● 25^2 -7^2 = x^2 +7^2 -7^2

● x^2 = 25^2 -7^2

● x^2 = 576

● x = 24 inches

The third that we find is the half of the side of the square.

Multiply it by 2 and get the side of the square.

● 24 × 2 = 48 inches

The perimeter of the square is the side times 4.

● P = 48 × 4

● P = 192 inches

■■■■■■■■■■■■■■■■■■■■■■■■■■

7):

Both triangles are righr and they have a khown angle.

Start with the small one and calculte the third angle.

The sum of a triangle angles is 180°

Let B be the third angle.

● B = 180-(90+51) = 39°

That's equal to the second angle of the second's triangle.

So it's an AA similarity.

So:

● x/24 = 7/15

● x = (7/15)×24

● x = 11.2

Answer:

5 -3 = 2

3-5 = -2

Step-by-step explanation:

In this question, we want to examine the validity of the statement by the use of an example.

Firstly, we need to understand the meaning of the fact that they are ‘closed’

By saying these numbers are closed under this arithmetic operation i.e subtraction, we directly mean that they obey the closure property.

Now, to obey the closure property means that if we move either way i.e by switching the numbers and performing the same arithmetic operation of subtraction, we are supposed to get same answer.

What this means in terms of examples is as follows;

Consider two positive numbers, 5 and 3

Now we know that 5-3 = 2

To check if the closure property is obeyed, switch the place of the numbers.

This means we would have;

3-5 = -2

We can see that both results are not the same. We can then conclude that the arithmetic operation of subtraction is not closed or does not obey the closure property for positive numbers.

Answer:

(1) Variance = 4.5 and Standard deviation = 2.121.

(2) Variance = 4.5 and Standard deviation = 2.121.

(3) The effect on the measure of dispersion if each value is changed uniformly ​is that it remains unchanged.

Step-by-step explanation:

We are given with the following set of data below;

              X                     [tex]X-\bar X[/tex]                   [tex](X-\bar X)^{2}[/tex]

              5                   5 - 8 = -3                     9

              5                   5 - 8 = -3                     9

              8                   8 - 8 = 0                      0

             10                  10 - 8 = 2                     4

             10                  10 - 8 = 2                     4

             10                  10 - 8 = 2                     4

              9                   9 - 8 = 1                       1

              9                   9 - 8 = 1                       1

              6                  6 - 8 = -2                    4                

Total    72                                                   36      

Firstly, the mean of the above data is given by;

              Mean, [tex]\bar X[/tex]  =  [tex]\frac{\sum X}{n}[/tex]

                              =  [tex]\frac{72}{9}[/tex]  = 8

(1)Now, the variance of the given data is;

            Variance  =  [tex]\frac{\sum (X-\bar X)^{2} }{n-1}[/tex]

                                  =  [tex]\frac{36}{9-1}[/tex]  = 4.5

So, the standard deviation, (S.D.)  =  [tex]\sqrt{\text{Variance}}[/tex]

                                                        =  [tex]\sqrt{4.5}[/tex] = 2.12

(2) Now, each value is added by 2; so the new data set is given by;

              X                     [tex]X-\bar X[/tex]                   [tex](X-\bar X)^{2}[/tex]

              7                   7 - 10 = -3                     9

              7                   7 - 10 = -3                     9

             10                  10 - 10 = 0                     0

             12                  12 - 10 = 2                     4

             12                  12 - 10 = 2                     4

             12                  12 - 10 = 2                     4

              11                  11 - 10 = 1                       1

              11                  11 - 10 = 1                       1

              8                  8 - 10 = -2                    4                

Total    90                                                   36      

Firstly, the mean of the above data is given by;

              Mean, [tex]\bar X[/tex]  =  [tex]\frac{\sum X}{n}[/tex]

                              =  [tex]\frac{90}{9}[/tex]  = 10

(1)Now, the variance of the given data is;

            Variance  =  [tex]\frac{\sum (X-\bar X)^{2} }{n-1}[/tex]

                                  =  [tex]\frac{36}{9-1}[/tex]  = 4.5

So, the new standard deviation, (S.D.)  =  [tex]\sqrt{\text{Variance}}[/tex]

                                                                =  [tex]\sqrt{4.5}[/tex] = 2.12

(3) The effect on the measure of dispersion if each value is changed uniformly ​is that it remains unchanged as we see in the case of variance or standard deviation.

A is vowel.

first condition prevents any vowels, thus there will be no A at all

Answer:

AB = 3π

Step-by-step explanation:

The formula for the circumference of a circle is:

C = 2πr

By substituting 27 for r:

C = 2π(27)

C = 54π

The whole circumference is 54π. A circle is 360º around. We can set up a proportion to find the length of the 20º arc:

[tex]\frac{360}{54p}[/tex] = [tex]\frac{20}{x}[/tex]

Cross-multiply:

360x = 1080π

Divide both sides by 360:

x = 3π

AB = 3π

Answer:

AB = 3π

Step-by-step explanation:

The arc AB can be calculated as

AB = circumference of circle × fraction of circle

The central angle is equal to the measure of arc AB = 20° , thus

AB = 2πr × [tex]\frac{20}{360}[/tex]

     = 2π × 27 × [tex]\frac{1}{18}[/tex] ( cancel 18 and 27 by 9 )

     = 2π × 3 × [tex]\frac{1}{2}[/tex] = 6π × [tex]\frac{1}{2}[/tex] = 3π

Answer:

44 degrees.

Step-by-step explanation:

The 3 small triangles are isosceles  so m < a = m < b , therefore

m < a = (180 - 92) / 2 = 44 degrees.

m < f = m < a ( they are both subtended on the circle by the same chord (cd)),

So m < f = 44.

Answer:

x=o and y= -6

Step-by-step explanation:

12-2x = - 2(y-x)

or,12-2x = -2y + 2x

or, 12 = - 2y + 4x

or, 12/2= 2x - y

or, 2x - y = 6

• 2x -6= y.....eqn_1

-2x=-2y+2x -12

or,4x +2y= -12

or,4x + 2(2x-6)= -12

or, 4x+4x-12=-12

or, 8x= 0

• x= o

putting the value of x in eqn...3

o=(y-0)+6

or, o= y + 6

•y = -6

Everything you answered so far looks good. Nice work.

For question 10, we need to find two numbers that multiply to 3(-1) = -3 and also add to 2. The 3 and -1 are the first coefficient and last term. The 2 is the middle coefficient.

Through trial and error, the two numbers we're after are 3 and -1

3 times -1 = -3

3 plus -1 = 2

We break up the 2x into 3x - 1x and factor like so...

3x^2 + 2x - 1

3x^2 + 3x - 1x - 1 ... replace 2x with 3x-1x

(3x^2+3x) + (-1x-1) ... pair up terms

3x(x+1) - 1(x+1) .... factor each parenthesis group

(3x-1)(x+1) ... pull out the gcf (x+1)

You can use FOIL, the box method, or distribution to go from (3x-1)(x+1) back to 3x^2+2x-1 again.

Answer:

Step-by-step explanation:

Answer:

1/10 units ^3

Step-by-step explanation:

The formula for the volume is given by

V = Bh where B is the area of the base and h is the height

V = 3/20 units ^2 * 2/3 units

   = 3/20 * 2/3

  = 1/10 units ^3