Select the correct answer.
What is the domain of f(x) = 2|x − 1| + 3?

A.
{x | x ≥ 3}
B.
{x | x < 1}
C.
{x | x ≤ -1}
D.
{x | x = all real numbers}

Answer:

[tex]Pr = \frac{1}{870}[/tex]

Step-by-step explanation:

Given

[tex]n =30[/tex]

Required

Probability of selecting 2 toys of different types

From the question, we understand that all toys are different i.e. 1 of each type.

And the selection is without replacement;

So, after the first toy is selected; there are n - 1 toys left.

So, the probability is:

[tex]Pr = \frac{1}{n} * \frac{1}{n - 1}[/tex]

Substitute [tex]n =30[/tex]

[tex]Pr = \frac{1}{30} * \frac{1}{30- 1}[/tex]

[tex]Pr = \frac{1}{30} * \frac{1}{29}[/tex]

[tex]Pr = \frac{1}{30*29}[/tex]

[tex]Pr = \frac{1}{870}[/tex]

Answer:

yes

Step-by-step explanation:

Answer: 3x=3

Step-by-step explanation: Let's divide this into parts--

1. Adding the x variables: -2x+5x or 5x-2x = 3x.

2. Adding the y variables: y-y or -y+y = 0. (The negative and the positive y cancel each other out.)

3. Adding the numbers: 8-5 or -5+8 = 3.

Now just put it back into an equation: 3x + 0 = 3.

We don't need to add the 0, so the equation changes into 3x = 3.

Answer:

x = 5

Step-by-step explanation:

using the Pythagorean theorem:

x² = 13² - 12² = 169 - 144 = 25

x = √25 = 5

Answer:

x = 5.

Step-by-step explanation:

For a right triangle, use the Pythagorean Theorem, a² + b² = c², where a and b are the sides, and c is the hypotenuse.

a² + b² = c²

x²+ 12² = 13²

x² + 144 = 169

Subtract 144 from both sides.

x² = 25

x = 5.

Proof:

a² + b² = c²

5² + 12² = 13²

25 + 144 = 169

169 = 169.

Answer:

$150.75

Step-by-step explanation:

Find 24% of 228. 54.72

Subtract that. 228 - 54.72 = 173.28

Find 13% of 173.28. 22.53 (Rounded)

Subtract that.

150.75 is the final price.

Answer:

$150.76

Step-by-step explanation:

1. Find 24% of the original value which is 228(.24)= 54.78

2. Subtract 54.78 from 228 to get 173.28

3. Find 13% of new value (173.28) which is 22.52

4. Subtract 22.52 from 173.28 to get you final answer of $150.76

Answer:

x>-2

Step-by-step explanation:

So, lets start by distrubuting the -3 to x:

-3x-4<2

Then lets just start solving. First lets add 4 to both sides to get -3x alone:

-3x<6

Now lets divide -3 from both sides to get x alone:

x<-2

There is one thing we must remember, however.

When dividing a inequality by a negative, the sign is flipped.

So in this case, the < is now >:

x>-2

This basically means a solution is any value greater than -2!

Hope this helps!

[tex]2x - 8 = x + 4[/tex]

Collecting like terms,

[tex]2x - x = 4 + 8[/tex]

Since the signs change when its position changes.

[tex]x = 8 + 4 \\ x = 12[/tex]

Answer:

The value of x would be 12.

Step-by-step explanation:

2x - 8 = x + 4

2x - x = 4 + 8

x = 12

eq^2: 7x=84 divide 84 by 7 which is 12.

therefore x is equal to 12. Then

1) take that 12 you got in equation 2 and substitute in equation 1 which is:

7x-12y=180

7(12)-12y=180

84 -12y=180

-12y=180-84

-12y=96 ............divide both sides with -12

-y=8 (×-1) both sides

y= -8

therefore 7(12)-12(-8)=180

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

Explanation:

The length of 17 cm and slanted length of 10 cm are not used at all. They are likely thrown in as a distraction.

Instead, we focus on the horizontal base of 10 cm and the vertical height of 9 cm. The base and height are always perpendicular to one another.

The area of the triangle is therefore...

area = base*height/2

area = 10*9/2

area = 90/2

area = 45 square cm

It doesn't matter that this triangle is obtuse, the same area formula applies to any triangle.

------------

A longer method would have you compute the area of the dashed triangle, and the area of the two combined triangles (the largest overall triangle). Subtracting the two would lead to the answer of 45 cm^2. You'll need the pythagorean theorem to find the base of the dashed triangle, which then helps find the base of the largest triangle overall as well. At this point is when the 17 and 10 come into play, but I find the first method is much easier.

Answer:

C. 50 [tex]cm^2[/tex]

Step-by-step explanation:

area of big triangle - area of small triangle

find missing side lengths with pythagorean theorem:

[tex]9^2 + b^2=10^2\\\\81+b^2=100\\\\b^2= 19\\\\b=\sqrt{19}\\[/tex]

[tex]10^2+b^2=17^2\\\\100+b^2=289\\\\b^2=189\\\\b=\sqrt{189}[/tex]

find area:

1/2(10)([tex]\sqrt{189}[/tex] ) - 1/2([tex]\sqrt{19}[/tex] )(9)

=   49.124

which is closest to 50 [tex]cm^2[/tex]

Answer:

$25.00

Step-by-step explanation:

well start of by using the rules of 3.

( always remeber that multiply is diagonal and divide left by one on the left)

Answer:

Step-by-step explanation:

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Answer:

[tex] solution \: set = \{ ... - 2, \: - 1, \: 0, \: 1, \: 2, \: 3\}[/tex]

Step-by-step explanation:

[tex]8x - 3 < 29 \\ \\ 8x < 29 + 3 \\ \\ 8x < 32 \\ \\ x < \frac{32}{8} \\ \\ x < 4 \\ \\ solution \: set = \{ ... - 2, \: - 1, \: 0, \: 1, \: 2, \: 3\}[/tex]

Answer:

[tex]volume = 10\pi m^3[/tex]

Step-by-step explanation:

Volume of a prism = Base Area x height

Base is a quarter of a circle.

              [tex]Area \ of \ circle = \pi r^2\\\\r = 2m\\\\Area \ of \ quarter \ of \ a \ circle = \frac{1}{4} \pi r^2 = \frac{1}{4}\pi \times 4 = \pi m^2[/tex]

Base Area = π square meters.

Therefore ,

          [tex]Volume = Base Area \times height = \pi \times 10 = 10\pi m^3[/tex]

Answer:

y = -2

Step-by-step explanation:

SOLUTION :-

Solve the equation.

[tex]=> y - 8 + 8 = -10 + 8[/tex]

[tex]=> y = -2[/tex]

∴ y = -2

VERIFICATION :-

To verify the solution of y , just put the solution (y = -2) in place of y in equation and check whether L.H.S = R.H.S.

L.H.S :-

-2 - 8 = -10

R.H.S. :-

-10 (already given)

⇒L.H.S. = R.H.S. (verified)

Answer:

24

Step-by-step explanation:

Based on the question given :

Total pounds of cheese = 12

These cheese are sliced into 1/4 pounds and 1/2 pounds packages.

What the question requests is the number of 1/2 pounds fraction we can get from the total 12 pounds of cheese.

This means we aren't cutting out 1/4 pounds fraction from this package as the question didn't specify.

Hence, the number of 1/2 pounds fraction obtainable from 12 pounds of cheese I s:

We divide the 12 pounds cheese by 1/2

This gives :

12 ÷ 1/2 ; 12 / 1/2

÷ change to multiplication ond the reciprocal of the denominator is used

12 * 2 /1 = 24 /1

We Obtain 24 1/2-pound cheese

im not going to give the answer but i am going to help you

Step-by-step explanation:

look the median is just the middle, if there is 2 medians then you add those 2 and then divide by 2 to get the MEDIAN in absolute.

now to find the mean all you do is simple you first add all of the numbers below then you would divide by how many numbers you have?

I hope this helps if not then have a nice day

Answer:

median: 25.5

mean: 22

Step-by-step explanation:

So the median is literally the middle of the data set, but lucky for us, we have an even number, so:

21 + 30 ÷ 2 = 25.5

So the median of the set is 25.5

The mean is all the numbers added together divided by the number of terms, so:

0 + 13 + 21 + 30 + 32 + 36 = 132

132 ÷ 6 = 22

So the mean of the set is 132

hope this helps:)

Answer:

[tex]14.1[/tex]

Step-by-step explanation:

Since we have two sides of a triangle and the angle between them, we can use the Law of Cosines.

For any triangle, the Law of Cosines states:

[tex]b^2=a^2+c^2-2ac\cos B[/tex], where [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] are all interchangeable.

Substituting given values, we have:

[tex]b^2=9^2+19^2-2(9)(19)\cos 45^{\circ},\\b^2=200.169480834,\\b\approx \boxed{14.1}[/tex]

Answer:

f

Step-by-step explanation:

because it's less than mine not less nine

Answer:

x + 5 = 23

Step-by-step explanation:

Just write it like how you say it.

The algebraic expression for the given phrase is x+5=23.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given phrase is "x plus five is twenty three"

Here, the equation is x+5=23

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Transpose 5 to the RHS of the equation, we get

x=23-5

x=18

Therefore, the x value is 18.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ3

Answer:

6 runners

Step-by-step explanation:

Complete question

A relay race covers 1 1/2 kilometers, and each runner on a team will run 1/4 of a kilometer.  How many runners are needed for a team?

Given that;

1 runner = 1/4 km

If a relay race covers  1 1/2 km, hence;

x runner = 1 1/2 km

Divide both expressions

1/x = (1/4)÷(1 1/2)

1/x = 1/4 ÷ 3/2

1/x = 1/4 * 2/3

1/x = 2/12

Cross multiply

2x = 12

x = 12/2

x = 6

Hence 6 runners are needed for the race

Answer:

see explanation

Step-by-step explanation:

f(x)= -2(x²+8x+16)-5

[tex] -2 {x}^{2} - 16x - 32 - 5 \\ f(x)= - 2 {x}^{2} - 16x - 37[/tex]

Answer:

movie A

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

Movie A

Step-by-step explanation:

Answer:

Cada unidad integra los cinco bloques, según el ajuste curricular de Lengua y ... Escribo la letra de la palabra del recuadro, que corresponde al ... Completo el cuadro con las características antes señaladas. ... literarios con nuevas versiones de escenas, personajes u otros elementos. ... oración que presente al animal.

Step-by-step explanation:

Answer:

[tex](\dfrac{1}{4})^{\dfrac{-3}{2}}[/tex] = 8

Step-by-step explanation:

The given expression is :

[tex](\dfrac{1}{4})^{\dfrac{-3}{2}}[/tex]

We know that,

[tex]\dfrac{1}{x}=x^{-1}[/tex]

So,

[tex](\dfrac{1}{4})^{\dfrac{-3}{2}}=(\dfrac{1}{2^2})^{\dfrac{-3}{2}}\\\\=(2^{-2})^{\dfrac{-3}{2}}\\\\=(2^{-1})^{-3}\\\\=2^3\\\\=8[/tex]

So, the value of the given expression is 8.

Answer:

Hello! Your answer would be, D)

Step-by-step explanation:

Hope I helped! Ask me anything if you have more questions! Brainiest plz Have a nice mourning! Hope you make an 100%! -Amelia♥

Answer:

it should be c = 5f/9 - 160/9 if solving for c.

Answer:

Step-by-step explanation:

Use the formula of distance between the two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex],

Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

1. Distance between A(3, 4) and B(8, 12),

  AB = [tex]\sqrt{(8-3)^2+(12-4)^2}[/tex]

  AB = [tex]\sqrt{25+64}[/tex]

        = [tex]\sqrt{89}[/tex]

        ≈ 9.43

2. Distance between C(-2, 10) and D(3, -2),

   CD = [tex]\sqrt{(3+2)^2+(-2-10)^2}[/tex]

         = [tex]\sqrt{25+144}[/tex]

         = [tex]\sqrt{169}[/tex]

         = 13.00

3. Distance between X(20, 4) and Y(17, 0),

    XY = [tex]\sqrt{(20-17)^2+(4-0)^2}[/tex]

          = [tex]\sqrt{3^2+4^2}[/tex]

          = [tex]\sqrt{25}[/tex]

          = 5.00

4. Distance between E(2, -1) and M(6, 9),

    EM = [tex]\sqrt{(2-6)^2+(-1-9)^2}[/tex]

          = [tex]\sqrt{16+100}[/tex]

          = [tex]\sqrt{116}[/tex]

          = 10.77

Answer:

64

Step-by-step explanation:

1=3+5+7....S8 and ..... is 64

Answer:

A≈263.89

Step-by-step explanation:

Solution

A=2πrh+2πr2=2·π·3·11+2·π·32≈263.89378

Answer:

Infinetly Many Solutions

Step-by-step explanation:

Because the arrows show the the answers are never ending.