ANSWER
(1,7)
EXPLANATION
The given equations are:
1st: 3a + 6b = 45
and
2nd:2a – 2b = –12
Multiply the second equation by 3,
3rd: 6a – 6b = –36
Add the first and third equations.
6a+3a+6b-6b=45+-36
Simplify,
9a=9
a=1
Put a=1 in the second equation:
2(1) – 2b = –12
-2b=-12-2
-2b=-14
b=7
Sandra's cell phone plan gives her unlimited minutes for $15.50 per month. She is charged $0.08 for each text message, t. Which equation models the total monthly cost, C, for the cell phone? 10 points
Answer:
c=15.50+0.08t
Step-by-step explanation:
Sandra's total monthly cost for her cell phone, represented by C, consists of a fixed rate of $15.50 for unlimited minutes and an additional $0.08 per text message. The formula to calculate her total cost is C = 15.50 + 0.08t, where t is the number of text messages.
Explanation:The total monthly cost, C, for Sandra's cell phone is composed of a fixed monthly charge plus a variable charge that depends on the number of text messages she sends.
The fixed charge is her unlimited minutes plan which costs $15.50 per month.
On top of that, each text message costs $0.08, so if we let t represent the number of texts she sends, the variable cost will be 0.08t.
Therefore, the equation to model Sandra's total monthly cost would be:
C = 15.50 + 0.08t
We can confidently state that this equation represents how Sandra's monthly expenses on her cell phone will add up depending on the number of texts, t, she sends in a month.
How do you determine the length ?
Answer:
XY = 5[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Calculate the coordinates of X and Y using the midpoint formula
[ [tex]\frac{1}{2}[/tex](x₁ + x₂), [tex]\frac{1}{2}[/tex](y₁ + y₂) ]
with (x₁, y₁ ) = A(- 3, 9) and (x₂, y₂ ) = B(- 5, - 3)
X = [[tex]\frac{1}{2}[/tex](- 3 - 5), [tex]\frac{1}{2}[/tex](9 - 3) ] = (- 4, 3)
Repeat with
(x₁, y₁ ) = B(- 5, - 3) and (x₂, y₂ ) = C(7, - 1)
Y = [ [tex]\frac{1}{2}[/tex](- 5 + 7), [tex]\frac{1}{2}[/tex](- 3 - 1) ] = (1, - 2)
---------------------------------------------------------------------------------------------
Calculate the length of XY using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = X(- 4, 3) and (x₂, y₂ ) = Y(1, - 2)
XY = [tex]\sqrt{(1 +4)^2+(-2-3)^2}[/tex]
= [tex]\sqrt{5^2+(-5)^2}[/tex]
= [tex]\sqrt{25+25}[/tex] = [tex]\sqrt{50}[/tex] = 5[tex]\sqrt{2}[/tex]
The scatter plot below shows the ages and heights of a varsity basketball team. Each dot represents one player. What is the total number of 17-year olds whose height is 74 inches or less?
A. 0
B. 1
C. 2
D. 3
There is 1 17-year-old player on the varsity basketball team whose height is 74 inches or less. The correct option is B.
In a scatter plot, each dot represents one player, with the x-axis typically representing age and the y-axis representing height. By examining the data points corresponding to 17-year-olds, we find only one dot where the height is 74 inches or less.
This analysis involves visually inspecting the scatter plot and identifying the specific data points that satisfy the criteria mentioned in the question. The correct answer, therefore, reflects the count of such data points, and in this case, it is one.
Answer:
2
Step-by-step explanation:
IF YOU LOOK AT THE CHART, YOU WILL SEE THATTHE NUMBER OF 17 YEAR OLDS THAT ARE 74 INCHES AND UNDER ARE 2
Confused can someone help
Answer:
B. 3x^2 - 2x - 1.
Step-by-step explanation:
(f + g)x = f(x) + g(x)
= -4x + 3 + 3x^2 + 2x - 4
Adding like terms we get the answer:
= 3x^2 - 2x - 1.
The answer is:
B. [tex](f+g)(x)=3x^{2} -2x-1[/tex]
Why?To solve the problem, we need to add/subtract like terms. The like terms are the terms that share the same variable and the same exponent.
For example:
[tex]x^{2} +3x^{2} +5x^{3}=4x^{2}+5x^{3}[/tex]
We were able to add the terms that were squared since both shares the same variable and the same exponent.
So, we are given the functions:
[tex]f(x)=-4x+3\\g(x)=3x^{2} +2x-4[/tex]
Now, we are asked to calculate (f+g)(x) which is also equal to f(x) + g(x).
Then, calculating we have:
[tex](f+g)(x)=(-4x+3)+(3x^{2} +2x-4)\\\\(f+g)(x)=3x^{2} -4x+2x+3-4\\\\(f+g)(x)=3x^{2} -2x-1[/tex]
Hence, the answer is:
B. [tex](f+g)(x)=3x^{2} -2x-1[/tex]
Have a nice day!
Keiko spent $6 on the fruit at a grocery store. she spent a total of $40 at the store. what percentage of total did she spend on fruit?
Answer:
15%
Step-by-step explanation:
15% of 40 is 6.
Which equation is y = 9x2 + 9x – 1 rewritten in vertex form?
Answer:
[tex]y = 9(x +\frac{1}{2}) ^ 2 -\frac{13}{4}[/tex]
Step-by-step explanation:
An equation in the vertex form is written as
[tex]y = a (x-h) + k[/tex]
Where the point (h, k) is the vertex of the equation.
For an equation in the form [tex]ax ^ 2 + bx + c[/tex] the x coordinate of the vertex is defined as
[tex]x = -\frac{b}{2a}[/tex]
In this case we have the equation [tex]y = 9x^2 + 9x - 1[/tex].
Where
[tex]a = 9\\\\b = 9\\\\c = -1[/tex]
Then the x coordinate of the vertex is:
[tex]x = -\frac{9}{2(9)}\\\\x = -\frac{9}{18}\\\\x = -\frac{1}{2}[/tex]
The y coordinate of the vertex is replacing the value of [tex]x = -\frac{1}{2}[/tex] in the function
[tex]y = 9 (-0.5) ^ 2 + 9 (-0.5) -1\\\\y = -\frac{13}{4}[/tex]
Then the vertex is:
[tex](-\frac{1}{2}, -\frac{13}{4})[/tex]
Therefore The encuacion excrita in the form of vertice is:
[tex]y = a(x +\frac{1}{2}) ^ 2 -\frac{13}{4}[/tex]
To find the coefficient a we substitute a point that belongs to the function [tex]y = 9x^2 + 9x - 1[/tex]
The point (0, -1) belongs to the function. Thus.
[tex]-1 = a(0 + \frac{1}{2}) ^ 2 -\frac{13}{4}[/tex]
[tex]-1 = a(\frac{1}{4}) -\frac{13}{4}\\\\a = \frac{-1 +\frac{13}{4}}{\frac{1}{4}}\\\\a = 9[/tex]
Then the written function in the form of vertice is
[tex]y = 9(x +\frac{1}{2}) ^ 2 -\frac{13}{4}[/tex]
Answer:
The vertex form of a parabolic function has the general formula:
f(x) = a(x-h)^2 + k where (h,k) represent the vertex of the parabola.
Therefore, to write the given equation in vertex form, we will need to transform it to the above formula as follows:
y = 9x^2 + 9x - 1
y = 9(x^2 + x) - 1
y = 9(x^2 + x + 1/4 - 1/4)-1
y = 9((x+1/2)^2 - 1/4)-1
y = 9(x + 1/2)^2 - 9/4 - 1
y = 9(x + 1/2)^2 - 13/4 ..............> The equation in vertex form
Step-by-step explanation:
Hope this helps!!! Have a great day!!! : )
4x+y=25
x- 3y=16
Simultaneous equation
you change the y to have it y=3x+16 and same with the other one i think
The palace of pizza offers small, medium, or large pizzas with 14 different toppings available. How many different one-topping pizzas do they serve?
Answer: 42
Step-by-step explanation:
The different types of one-topping pizzas that they serve are 196.
What is Combination?The combination helps us to know the number of ways an object can be arranged without a particular manner. A combination is denoted by 'C'.
[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
where,
n is the number of choices available,
r is the choices to be made.
As the size of the pizzas that are available is of 3 different types, therefore, the number of choices for the size of the pizza is 3, which can be written as,
[tex]\text{Choices of Pizza}=^3C_1[/tex]
The number of toppings that are available is 14, therefore, the number of choices for pizza toppings can be written as,
[tex]\text{Choices of Toppings}=^{14}C_1[/tex]
Now, the different types of one-topping pizzas that they serve are,
[tex]= \text{Choices of Pizza} \times \text{Choices of Toppings}\\\\= ^3C_1 \times ^{14}C_1\\\\=3 \times 14\\\\= 196[/tex]
Hence, the different types of one-topping pizzas that they serve are 196.
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area of this figure please!!! 20 POINTS GUYS FASTTTT
Answer:
15
Step-by-step explanation:
Well first I found the area of the big rectangle which is lxw which will be equal to 12. while the small rectangle the area will be equal to 3. Finally, I added the 2 areas and I got 15. I hope this helped you.
Which letters is correct
Answer:
(1/6)π(7²) = (49/6)π square inches
= about 25.66 square inches
Angle 3 and angle 4 are supplementary angles. Angle 3 is 88°. What is the measure of angle 4?
180-88=92 becuase supplementary angles add up to 180 and 88 plus 92 equal 180
angle 4=92
Answer:
92 degrees
Step-by-step explanation:
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What is the definition ordered pairs?
Answer:
the definition is two of the same kind
An ordered pair is a set of coordinates or points on a graph. In order, they would be the x coordinate and the y coordinate. The ordered pair would look like this (x, y). For example, on a graph, the ordered pair of a point that is 3 over and 4 up would look like this: (3, 4), as the x value is 3 and y value is 4. The x value always comes before the y value in an ordered pair.
find distance between the points (-3,-2) and (-1,-2)
2 units between (-3,-2) and (-1,-2)
The distance between the points (-3, -2) and (- 1, - 2) is 2 units.
What is the distance formula between two points?The distance formula between two points (x₁, y₁) and (x₂, y₂) is given by
[tex]D = \sqrt{x_2 - x_1)^2 + (y_2 - y_1)^2[/tex].
Given, Are two points (-3, -2) and (- 1, - 2).
Therefore the distance between these two points can be obtained by the distance formula,
[tex]D = \sqrt{x_2 - x_1)^2 + (y_2 - y_1)^2[/tex].
Therefore,
[tex]D = \sqrt{-1 + 3)^2 + (-2 + 2)^2[/tex].
[tex]D = \sqrt{2)^2 + (0)^2[/tex].
[tex]D = \sqrt{4[/tex].
D = 2units.
So, The distance between the points (-3, -2) and (- 1, - 2) is 2 units.
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Find the measure of the central angle of an arc if its length is 14pi and 12 is the radius.
[tex]\bf \textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad radians\\[-0.5em] \hrulefill\\ s=14\pi \\ r=12 \end{cases}\implies 14\pi =12\theta \implies \cfrac{14\pi }{12}=\theta \\\\\\ \stackrel{\textit{radians}}{\cfrac{7\pi }{6}}=\theta ~\hspace{10em}\stackrel{\textit{in degrees}}{210^o}[/tex]
Ms. Giving shared her $500 winnings with friends. She gave Mildred
50%. She gave Bernice 20% of what was left and then gave 40% of
what remained to Alice. She gave 50% of what was left then to Bea.
How much did Ms. Giving keep for herself?
Answer:
50%=250
20%=50
40%=80
50=60
so she kept $60
Step-by-step explanation:
Answer:
$60
Step-by-step explanation:
Winning = $500
Mildred = 50% of $500 = 0.5 x $50 = $250
Left = $500 - $250 = $250
Berice = 20% of $250 = 0.2 x $250 = $50
Left = $250 - $50 = $200
Alice = 40% of $200 = 0.4 x $200 = $80
Left = $200 - $80 = $120
Bea = 50% of $120 = 0.5 x $120 = $60
Left = $120 - $60 = $60
Select the correct answer. A number is selected at random from the set {2, 3, 4, ... 10}. Which event, by definition, covers the entire sample space of this experiment? A. The number is greater than 2. B. The number is not divisible by 5. C. The number is even or less than 12. D. The number is neither prime nor composite. E. The square root of the number is less than 3.
Answer:
c
Step-by-step explanation:
Answer:
C. The number is even or less than 12.
Step-by-step explanation:
Let's analyze each event:
A. The number is greater than 2.
This doesn't cover the case when we get number 2. Because 2 is equal to 2, not greater.
B. The number is not divisible by 5.
10 and 5 are divisible by 5, so this doesn't cover the entire sample space.
C. The number is even or less than 12.
Let's notice that every number from {2, 3, 4, ... 10} is less than 12, so the even part of the event doesn't play any role. This covers the entire sample space.
D. The number is neither prime nor composite.
The definition of prime number is exactly the opposite of composite number, so there can't be a number that's neither both. This event doesn't cover any number of the set.
E. The square root of the number is less than 3.
This doesn't cover number 10, because the square root of 10 is approx. 3,16 that's greater than 3.
What is the exponential regression equation to best fit the data? Round each value in your equation to two decimal places.
x y
0 14
1 23
2 30
3 58
4 137
5 310
Answer:
[tex]y=11.5466(1.8484)^x[/tex]
Step-by-step explanation:
Given :
x y
0 14
1 23
2 30
3 58
4 137
5 310
To Find: What is the exponential regression equation to best fit the data?
Solution:
General form of exponential regression equation : [tex]y=ab^x[/tex]
So, using calculator
Regression Equation: [tex]y=11.5466(1.8484)^x[/tex]
Hence the exponential regression equation to best fit the data is [tex]y=11.5466(1.8484)^x[/tex]
Answer:
I have the correct answer for you people on the quiz
Step-by-step explanation:
What are the coordinates of the vertex of the parabola?
y=3/4x^2−6x+15
Answer:
The vertex is the point (4,3)
Step-by-step explanation:
we have
[tex]y=\frac{3}{4}x^{2}-6x+15[/tex]
Convert to vertex form
Group terms that contain the same variable, and move the constant to the opposite side of the equation
[tex]y-15=\frac{3}{4}x^{2}-6x[/tex]
Factor the leading coefficient
[tex]y-15=\frac{3}{4}(x^{2}-8x)[/tex]
Complete the square. Remember to balance the equation by adding the same constants to each side.
[tex]y-15+12=\frac{3}{4}(x^{2}-8x+16)[/tex]
[tex]y-3=\frac{3}{4}(x^{2}-8x+16)[/tex]
Rewrite as perfect squares
[tex]y-3=\frac{3}{4}(x-4)^{2}[/tex]
[tex]y=\frac{3}{4}(x-4)^{2}+3[/tex] ----> equation in vertex form
The vertex is the point (4,3)
4/5 pounds of cherries is 2/3 of the bucket. How many pounds of cherries can be fill with 1 bucket
Answer: 1 and 1/5 pounds
Step by step explanation:
Find a common denominator.
In this particular equation we’ll use 15. Take 4/5 and multiply that by 3/3 and you get 12/15. Then take 2/3 and multiple that by 5/5, you then get 10/15. (That step was simply so we can compare the data easier, it is a crucial step to this question). So now you know that you have 12/15 cherries in the bucket and you need get 3/15 more to fill the bucket. And if 2/3=6/15 than you would need another 1/3 so, you would add 6/15 to 12/15 and get 18/15= 1 3/15. Im not complete sure if this is correct, but I tried :(.
The diameter of a circle is 6 units what is the radius of the circle
The radius is 3.
Because the diameter is 3•2=6
Hope this helps.
Answer:
3
Step-by-step explanation:
The diameter of the circle is 2 times the radius
d = 2r
6 = 2r
Divide each side by 2
6/2 =2r/2
3=r
The radius is 3
Mary sold 10 dozen tamales for $15 per dozen. It cost jer $40 for all of the supplies and ingredients. How much profit did she make?
She profited $110 because $10 per dozen equals to $150. Then, you subtract $40 then you have $110. Hope my answer helped. (:
10x15=150
150-40=110
110 is the profit!
hope this helped!
I need to find the letters
Answer:
w = 21
x = 13
y = -11
z = -16
Step-by-step explanation:
Matrix subtraction is simply subtracting "corresponding" values e.g. row 1 column 1 value of one matrix and row 1 column 1 value of another matrix, and so on...
Thus, w = 17 - (-4) = 17 + 4 = 21
x = 12 - (-1) = 12 + 1 = 13
y = -3 -8 = -11
z = -2 -14 = -16
These are the values of w, x, y and z , respectively.
The answer to the question
Answer:
b
Step-by-step explanation:
7/3x = 2/(x+5) the solution
Hi, if we are using the quadratic formula to solve this, then here is a good answer.
The solution to the equation 7/3x = 2/(x+5) is found by cross-multiplication and simplifying, ending with the result x = -35.
Explanation:To solve the given equation 7/3x = 2/(x+5), the first step is to cross-multiply. This gives us 7*(x+5) = 2*3x. Simplifying this results in 7x + 35 = 6x. Subtract 6x from each side and you get x + 35 = 0. And thus, x = -35 is the solution of the equation.
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The object below is made of solid plastic. It is a cylind
in the shape of a cone.
is a cylinder with an indentation at the top
0.7 in IT
V
tv-lehah
What is the volume, to the nearest tenth of a cubic inch of the plastic object
is this correct
Answer:
97.6
Step-by-step explanation:
test
The amount of three-dimensional space enclosed by a closed surface. The volume of the object is 97.6 in³.
What is volume?The amount of three-dimensional space enclosed by a closed surface is expressed as a scalar quantity called volume.
The volume of the object is the difference between the volume of the cylinder and the volume of the cone. Therefore, the volume of the object can be written as,
The Volume of object = Volume of cone - Volume of cylinder
[tex]\text{Volume of Object} = \pi r^2h_{cylinder} - \dfrac13 \pi r^2h_{cone}[/tex]
Since π and radius of the cone and cylinder are common, therefore the equation can be written as,
[tex]\text{Volume of Object} = \pi r^2h_{cylinder} - \dfrac13 \pi r^2h_{cone}\\\\\\\text{Volume of Object} = \pi r^2(h_{cylinder} - \dfrac13 h_{cone})[/tex]
As it is given that the radius of the figure is 2 inches, and the height of the cylinder is 8 inches while the height of the cone is 0.7 inches, therefore, the volume can be written as,
[tex]\text{Volume of Object} = \pi \times (2^2) \times (8 - \dfrac{0.7}{3} ) = 97.6\rm\ in^3[/tex]
Thus, the volume of the object is 97.6 in³.
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De un triángulo rectángulo se conoce que su hipotenusa mide 20 cm y la suma de los catetos miden 24 cm ¿Cuánto mide su área?
Answer:
The area of the right triangle is [tex]43.88\ cm^{2}[/tex]
Step-by-step explanation:
The question in English is
From a right triangle it is known that its hypotenuse measures 20 cm and the sum of the legs measures 24 cm. How much does its area measure?
Let
x-----> the measure of one leg
y----> the measure of the other leg
Assume x is less than y
we know that
Applying Pythagoras Theorem
[tex]20^{2}=x^{2}+y^{2}[/tex] -----> equation A
[tex]x+y=24[/tex]
[tex]y=24-x[/tex] -----> equation B
Substitute equation B in equation A and solve for x
[tex]20^{2}=x^{2}+(24-x)^{2}\\ \\400=x^{2} + 576-48x+x^{2}\\ \\ 2x^{2} -48x+576-400=0\\ \\2x^{2} -48x+176=0[/tex]
Solve the quadratic equation by graphing
The solution is [tex]x=4.5\ cm[/tex]
see the attached figure
[tex]x=4.5\ cm[/tex]
[tex]y=24-4.5=19.5\ cm[/tex]
The area is equal to
[tex]A=xy/2=(4.5)(19.5)/2=43.88\ cm^{2}[/tex]
0. A pill has the shape of a cylinder with a hemisphere at each end. The height of the cylindrical portion 11
mm and the overall height is 18 mm.
(a) Find the volume of the pill in cubic millimeters. Round to the nearest cubic
millimeter.
(b) If the pill is to contain 1,000 milligrams of vitamin C, then how much vitamin C does the pill contain per
cubic millimeter? Round to the nearest tenth of a cubic millimeter.
(c) Another pill that is entirely spherical has a diameter of 10 millimeters and contains 1.5 milligrams of
vitamin C per cubic millimeter. How much less vitamin C does this second pill contain, rounded to the
nearest milligram, than the one pictured?
Answer:
Part a) The volume of the pill is [tex]603\ mm^{3}[/tex]
Part b) [tex]1.7\frac{mg}{mm^{3}}[/tex]
Part c) [tex]215\ mg[/tex]
Step-by-step explanation:
Part a) Find the volume of the pill in cubic millimeters
we know that
The volume of the pill is equal to the volume of the cylinder plus the volume of a sphere (two hemisphere is equal to one sphere)
so
[tex]V=\frac{4}{3}\pi r^{3} +\pi r^{2}h[/tex]
we have
[tex]r= (18-11)/2=3.5\ mm[/tex]
[tex]h=11\ mm[/tex]
assume
[tex]\pi =3.14[/tex]
substitute
[tex]V=\frac{4}{3}(3.14)(3.5)^{3} +(3.14)(3.5)^{2}(11)[/tex]
[tex]V=603\ mm^{3}[/tex]
Part b) If the pill is to contain 1,000 milligrams of vitamin C, then how much vitamin C does the pill contain per cubic millimeter?
Divide 1,000 milligrams by the volume
[tex]1,000/603=1.7\frac{mg}{mm^{3}}[/tex]
Part c) Another pill that is entirely spherical has a diameter of 10 millimeters and contains 1.5 milligrams of vitamin C per cubic millimeter. How much less vitamin C does this second pill contain, rounded to the
nearest milligram, than the one pictured?
step 1
Find the volume of the sphere
The volume of the sphere is equal to
[tex]V=\frac{4}{3}\pi r^{3}[/tex]
we have
[tex]r=10/2=5\ mm[/tex] ----> the radius is half the diameter
assume
[tex]\pi =3.14[/tex]
substitute
[tex]V=\frac{4}{3}(3.14)(5)^{3}[/tex]
[tex]V=523.33\ mm^{3}[/tex]
step 2
Multiply the volume by 1.5 milligrams of vitamin C per cubic millimeter
so
[tex]523.33*1.5=785\ mg[/tex]
step 3
Find the difference
[tex]1,000-785=215\ mg[/tex]
Someone please help me out with this question
Answer:
4 and 5
Step-by-step explanation:
The mode is the value or values which occur most in the data set.
Here 4 occurs 3 times and 5 occurs 3 times, while 7 and 8 only occur once.
Hence there are 2 modes, that is 4 and 5
4 and 5
That’s your answer
PLEASE HELP!
A researcher wants to know the opinions of people in a state have about filling out surveys. The researcher asks the first 30 people who volunteer to take a survey, "Do you think surveys are a useful took for gathering information?"
Describe the population.
EX: If a school reporter surveys every 5th student who walks in the building, to describe the population, you would say that the population consists of students.
The population consists of volunteers in a certain state.
The problem mentions that volunteers took the survey, as well that the survey is meant to find the opinions of people in a certain state.
find a polynomial with zeros at x=2,x=-1 and x=0
Answer:
f(x) = x^3 - x^2 -2x
Step-by-step explanation:
If x = a is a zero of a polynomial, then x-a is a factor of the polynomial. Given the factors of a polynomial, the polynomial can be obtained by multiplying the factors.
The factors of the given polynomial are;
x - 2
x + 1
x
Multiplying the first two factors;
(x-2)(x+1) = x^2 + x -2x -2
= x^2 -x -2
We finally multiply this result by x to obtain our polynomial;
f(x) = x ( x^2 -x -2)
= x^3 - x^2 -2x
which is a cubic polynomial since it has 3 roots.
Answer:
f(x) = x³ - x² - 2x
Step-by-step explanation:
given a polynomial with zeros x = a, x = b, x = c
Then the factors are (x - a), (x - b) and (x - c)
and the polynomial is the product of the factors, that is
f(x) = k(x - a)(x - b)(x - c) ← where k is a multiplier
--------------------------------------------------------------------
Here the zeros are x = 2, x = - 1 and x = 0, thus the factors are
(x - 2), (x + 1) and (x - 0) , thus
y = kx(x - 2)(x + 1) ← let k = 1 and expand factors
= x(x² - x - 2) = x³ - x² - 2x
Hence a possible polynomial is
f(x) = x³ - x² - 2x