The expression in the mathematical form will be (1/4)( 2 - 3x ) / ( 2x ).
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The word form of the expression is given as adding one-fourth of two subtracted from thrice a number to twice the same number.
The expression can be written as,
E = (1/4)( 2 - 3x ) / ( 2x ).
Hence, the expression will be (1/4)( 2 - 3x ) / ( 2x ).
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Obtain an estimate for the following computation by rounding the numbers so that the resulting arithmetic can easily
be performed by hand or in your head. Then, use a calculator to perform the computation. How reasonable is your
estimate when compared to the actual answer?
348 +598
Round the two numbers to the nearest ten. An estimate of the sum is
an example
Get more help.
Clear all
Answer: The answer to the computation 348 + 598 is 946.
Step-by-step explanation:
To obtain an estimate for the computation 348 + 598, we can round the two numbers to the nearest ten.
348 rounded to the nearest ten is 350
598 rounded to the nearest ten is 600
So, our estimate for the sum of 348 + 598 is 350 + 600 = 950
Using a calculator, the actual computation is 348 + 598 = 946
Our estimate of 950 is 4 more than the actual answer of 946. This means that our estimate is slightly higher than the actual answer. This is not a big difference and it is reasonable as the numbers are rounded to nearest 10.
Answer:
Nose inglés lo siento xdddddddddddddddddddddd
Derived by the general formula the following equations remember that you must integrate your procedures
y = 5x -6x² +9x³
Answer:
Step-by-step explanation:
The general formula for finding the antiderivative of a polynomial function is to add one to the exponent of each term and divide by that new exponent.
To find the antiderivative of y = 5x -6x² +9x³, we need to integrate each term individually, using the general formula:
∫ (5x) dx = (5/1)x^(1+1) = 5x^2 + C
∫ (-6x²) dx = (-6/2)x^(2+1) = -3x^3 + C
∫ (9x³) dx = (9/4)x^(3+1) = (9/4)x^4 + C
So the antiderivative of y = 5x -6x² +9x³ is:
∫ y dx = 5x^2 - 3x^3 + (9/4)x^4 + C
Where C is the constant of integration, which can take any real value.
Read the following information carefully and answer the questions that follow.
Jess runs a business which makes and distributes frozen chips to restaurants and hotels
in her local area. She buys potatoes from Johnson's, a local farm. The business spends
£50 000 each year on fixed costs. In 2018, the total variable costs came to £0.85 per kg
of chips and each packet of chips was sold for £1.80 per kg. Using these figures and her
actual sales in 2018 Jess worked out her break-even level of output and her margin of safety.
a) Calculate Jess's break-even level of output for 2018.
Give your answer to 3 significant figures.
Show your working.
Answer:
Let's use the same information as above to show how a formula can be used to quickly calculate the break-even output.
Remember contribution per unit? Here is a reminder of this crucial and really useful formula:
Contribution per unit = selling price per unit less variable cost per unit
In our example, contribution per unit = £10 less £4 = £6 per unit
Now apply the classic formula for calculating breakeven output:
Break-even output (units) = Fixed costs (£) / Contribution per unit (£)
So, break-even output = £40,000 divided by £6 = 6,666 units
Note: break-even output is always expressed in terms of units
So break-even output = 6,666 units
If the information is available, it is always quicker and easier to use this formula rather than use a table or draw a chart.
Find the multiplicative inverse of 6 + 2i.
1/(6-2i)
3/20+1/20 i
3/20-1/20 i
06-2 i
The multiplicative inverse of 6 + 2i is 3/20 - 1/20i.
When a number is multiplied by its original number, the multiplicative inverse of that number, or x-1, produces a value equal to 1. The multiplicative inverse of 2, for instance, is 2-1 since it fulfills the formula: 2 x 2-1 = 2 x 12 = 1. It is also known as a number's reciprocal.
Use the following method to determine a complex number's multiplicative inverse:
The original complex number is reciprocated to find the inverse. The complex number (6+2i) has a reciprocal of 1/6+2i. Simplify by multiplying the reciprocal's numerator and denominator by the conjugate of the denominator:
1/6+2i × 6 - 2i/6 - 2i
3/20 - 1/20i.
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two times a number y
Answer: Two times a number y would be represented mathematically as 2*y. It means that a number y will be multiplied by 2 to get the result.
Let u and v be two vectors in space with u =2i-j-2k and |v|| = 12. If u and v are parallel, then find the vector v.
Therefore , the solution of the given problem of vectors comes out to
be -25.
Why do they have the name "vectors"?An object with both magnitude and direction is referred to as a vector. A vector can be visualised geometrically as a directed line segment, with an arrow pointing in the direction and a length equal to the magnitude of the vector. The vector points in a direction from its tail to its head.
Here,
Given:
lul=3,|v|=4 and |w|=5
Also, u+v+w=0
On squaring both sides, we get
=> u2+v2+w2+2(u.v+v.w+w.u) = 0
=> 32+42+52 +2(u.v+v.w+w.u) = 0
=> 9+16+25+2(u.v+v.w+w.u) = 0
=> u.vv.w+w.u
=> -50 = -25
Therefore , the solution of the given problem of vector comes out to
be -25.
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What is an equation of the line that passes through points (-1,3) and (-2,-1)?
Answer:
[tex]\boxed{y = 4x + 7}[/tex]
Step-by-step explanation:
The equation of a line in slope-intercept form is
y = mx + b
where m is the slope and b the y-intercept
To find the slope, take the two points, find the difference in y values and divide by the corresponding difference in x values
Two points are [tex](- 1, 3)[/tex] and [tex](- 2, -1)[/tex]
Difference in y values [tex]= -1 -3 = -4[/tex]
Difference in corresponding x values [tex]= -2 - (-1) = -2 + 1 = -1[/tex]
Slope
[tex]m = \dfrac{-4}{-1} = 4[/tex]
So the equation of the line is of the form
[tex]y = 4x + b[/tex]
To find b, take the coordinates of any of the two points and plug the x and y values into the above equation and solve for b
Let's take point (-1, 3)
Plug in values:
[tex]3 = -4 + b\\\\3+4 = b\\ \\b = 7[/tex]
Therefore the equation of the line is
[tex]\boxed{y = 4x + 7}[/tex]
What is the image point of (2,8) after the transformation rx-axis D₂?
After transformation, the point (-1,2) in the image would be (-1,-2)
What is composition of transformations?Each transformation applied to the prior image is combined into a composition of transformations. The result of a translation is identical to a composition of reflections across parallel lines (twice the distance between the parallel lines). The composite transformation is carried out by multiplying the matrix in order from the right to the left side if it is represented as a column. The output from the preceding matrix is multiplied by the new matrix that will follow.
First, we must mirror the point (-1, 2) around the line y=-x.
(X, Y) is the rule (-y,-x)
you obtain (-1,2)—>(-2,1) (-2,1)
At this point, you must rotate (-2,1) by 90 degrees.
(X, Y) is the rule ( -y,x)
so (-2,1)—> (-1,-2) (-1,-2)
After transformation, the point (-1,2) in the image would be (-1,-2)
The complete question is,
What is the image point of (-1,2) after the transformation R 90° ry=-x
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work thid out for points and brainliest
Answer:
a) 6a+5 b)4
Step-by-step explanation:
a) 3a+3a+5 = 6a+5
b)6a + 5 = 29
6a = 29-5
6a = 24
6 6
a = 4
a) Find the standard formula of the equation of a circle that has a center of (-4,-2) and contains the points (-1,2).
B) find the general formula.
Answer:
A) The standard formula of the equation of a circle that has a center of (-4,-2) and contains the points (-1,2) is (x + 4)2 + (y + 2)2 = 25.
B) The general formula for the equation of a circle is (x - h)2 + (y - k)2 = r2, where (h,k) is the center of the circle and r is the radius.
Find the value of x. Write your answer as a decimal.
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6 cm
3 cm
7 cm
(4x+17) cm
& Check
Q: Solution
Answer:
Step-by-step explanation:
1.75?
Given the functions f(x) = 4(2) and g(x) = f(x) + 3, which transformation would map
f(x) to g(x)?
Vertically shift the graph of f(x) up 3 units.
Vertically shift the graph of f(x) up 7 units.
Vertically shift the graph of f(x) up 4 units.
Vertically shift the graph of f(x) down 3 units.
Answer:
It may
Step-by-step explanation:
Vertically shift the graph of f(x) up 7 units.
By:-"||Ziddiboy||"
Add the expression (8.5+ 6.25m) and (12 +3.75m).
After adding the expressions (8.5+ 6.25m) and (12 +3.75m) the value is obtained as (20.5 + 10m).
What is an expression?
Mathematical statements are called expressions if they have at least two terms that are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.
The first expression is - (8.5+ 6.25m)
The second expression is - (12 +3.75m)
Apply the addition operation on the expressions -
= (8.5+ 6.25m) + (12 +3.75m)
= 8.5 + 6.25m + 12 + 3.75m
= 8.5 + 12 + 6.25m + 3.75m
= (20.5 + 10m)
Therefore, the value is obtained as (20.5 + 10m).
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Please help ASAP!!!!
Answer:152+n
Step-by-step explanation:
152 for last year, n for this year. Add them together you get the answer for the total of pies in 2 years
Write an equation in slope-intercept form for the line with slope 5 and y-intercept -9.
Answer: y= 5x - 9
Hope this will help
Answer:
y=5x-9
Step-by-step explanation:
In y=mx+b, m is the slope and b is the y intercept all you have to do is replace m and b with the numbers associated in the problem this case since 5 is the slope you put it where m is, and b being the y-intercept you put the -9 there!
Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for the first term. 4, 5, 6, 7, …
The expression that describes the sequence is 3 + n.
How to write expression of a sequence?Let's use an expression to describe the sequence as follows:
4, 5, 6, 7....
The sequence follows an arithmetic patterns. Therefore, let's use an arithmetic progression formula to express the sequence.
Hence,
a + (n - 1)d = nth term
where
a = first termd = common differencen = number of termsTherefore,
a = 4
d = 5 - 4 = 1
Hence,
nth term = 4 + (n - 1)1
nth term = 4 + (n - 1)
nth term = 4 + n- 1
nth term = 3 + n
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4. Solve the triangle using either Law of Cosines or Law of Sines. In △DEF, f=25, e=8 and m∠F=131°.
AngleD= AngleE= Angle d=
Round your final answer to the nearest tenth. **
Using cosine law and sine law, the value of angle E and D are 14° and 35° and the length of side d is 19 units
What is Law of CosineThe law of cosines is a mathematical formula used to calculate the measure of a third side of a triangle when two sides and the angle between them are known. It is also used to calculate the angles of a triangle when all three sides are known. The formula is: c² = a² + b² - 2ab cos(C).
In this given problem, triangle DEF can be;
f² = e² + d² - 2(e)(d) cos(F)
But we don't know the length of side d
Using sine law
f / sin F = e / sin E
25 / sin 131 = 8 / sin E
sin E = 8 * sin 131 / 25
E = 13.97°
E = 14°
Using sum of angles in a triangle
D + E + F = 180°
D = 180 - (14 + 131)
D = 180 - 145
D = 35°
Using cosine law;
d² = e² + f² - 2(e)(f)cos(D)
Substituting the values into the formula;
d² = 8² + 25² - 2(8)(25)cos(35)
d = 19
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A line passes through the point (2, 7) and has a slope of 8. Write an equation in slope-intercept form for this line.
The slope-intercept form of the equation of the given line which passes through the point (2, 7) and has a slope of 8 is:
y = 8x - 9
What is meant by slope-intercept form of the line equation?
The slope (m) and the y-intercept (b) of a line are highlighted in the slope-intercept form of linear equations (y=mx+b). One of the most popular ways to represent a line's equation is in the slope-intercept form of a straight line. When the slope of the straight line and the y-intercept( the y-coordinate of the point where the line intersects the y-axis) are known, the slope-intercept formula can be used to determine the equation of a line. The equation of a line is the equation that each point on the line fulfils.
Given the line passes through a point (2,7) and the slope is 8.
When a point on the line and slope are given, the equation of the line is:
y - y₁ = m ( x - x₁)
m = slope = 8
Substituting,
y - 7 = 8 ( x - 2)
y - 7 = 8x -16
y = 8x - 9
Therefore the slope-intercept form of the equation of the given line is:
y = 8x - 9
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Last season Rio's football team scored 50 goals in 20 matches.
This season they scored 60 goals in 25 matches.
work out the mean number of goals per match for each season
The mean number of goals for two seasons is 2.44 goals per match.
What is the weighted average?When the average is not of any individual rather it is an average of two or more groups or sets it is called a weighted average.
To obtain the weighted average we multiply no. of individuals by their averages and sum the next group in the previous procedure and divide them by the total no. of individuals.
Given, Last season Rio's football team scored 50 goals in 20 matches.
This season they scored 60 goals in 25 matches.
Therefore, The mean number of goals per match for each season is,
= (50 + 60)/(20 + 25).
= 110/45.
= 2.44 goals per match.
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PLS HELP TANK YOUUUUU
Answer:
Step-by-step explanation:
a. 47 men
b. 24 men like soda
c. 23 men do not like soda
d. 61 women
e. 26 women like soda
f. 35 women do not like soda
Calculate the combinations of 5 things 3 at a time
Answer:
5 combination 3
5 fictorial divided by (5-3)! 3!
by using the above method 10 will be your answer
NO LINKS!!!
Describe the transformation from ΔABC to ΔA'B'C'. Is this a congruence or similarity transformation?
ΔABC: A(-3, 3), B(-3, 1)
ΔA'B'C': A'(6, 6), B'(6, 2), C'(2, 2)
From the coordinates we can see the rule for this transformation is:
(x, y) → (-2x, 2y)It is a dilation by a scale factor of 2 and reflection in the y-axis.
It means this is a similarity transformation, since the figure has changed its size.
Answer:
Dilation of scale factor 2 centered at the origin, followed by a reflection in the y-axis.
Similarity transformation.
Step-by-step explanation:
Given vertices of ΔABC:
A = (-3, 3)B = (-3, 1)C = (-1, 1)Given vertices of ΔA'B'C':
A' = (6, 6)B' = (6, 2)C' = (2, 2)From observation, the series of transformations the transforms ΔABC to ΔA'B'C' are:
Dilation of scale factor 2 centered at the origin.Reflection in the y-axis.This is a similarity transformation as the two triangles have the same shape but different sizes.
Find the value of X that satisfies the two equations y = 2x + 2 and y = 4x - 4 simultaneously.
Answer:
x=3
Step-by-step explanation: I'm not 100% if this is it because it's been awhile but I believe that you write 2x+2=4x-4 to solve for x since they're both y=mx+b equations. After solving it you would get 3
Joey is making accessories for the soccer team. He uses 876.52 inches of fabric on headbands for 31 players and 3 coaches. He also uses 288.61 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?
The number of fabric used for headband and wristband for each player is 25.8in and 9.3 in
What is world problem?Word problem is a verbal description of a problem situation wherein one or more questions are posed, the answers to which can be obtained by the application of mathematical operations.
Represent the number of fabric used on headband by x and the number of fabric used on wristband by y
Therefore;
31x +3x = 876.52
34x = 876.52
divide both sides by 34
x = 876.52/34
x = 25.8 inches
31y = 288.61
dive both sides by 31
y = 288.61/31
y = 9.3 inches
therefore 25.8 inches of fabrics and 9.3 inches of fabrics are used on headband and wristband of each player
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In Wisdom Mind School, the front bell rings every 25 minutes, while the back
bell rings every 35 minutes. If they were set at the same time, after how many
minutes will they ring at the same time?
Answer:
175 mins
Step-by-step explanation:
LCM of 25 and 35 is 175 which is when the next bell together will happen.
-20 equals the the difference of 28 and a number x
What is the solution and the equation?
Answer: The solution of the equation is x = 48. The equation is 20 = x - 28.
Step-by-step explanation:
-20 is like having -20 dollars, and you want to know how much you have to add to it to get to 28 dollars. So we add 20 to -28 and we get the number x = 48, so 48 dollars is what we need to add to -20 dollars to get to 28 dollars.
Dilate the figure by the scale factor. Then enter new coordinates.
The new coordinates after dialting using scale factor are , A ' ( -21, 14 ) ,
B ' ( 28, 14 ) and C ' ( -7, -7 ) .
What is a graph ?
Graph can be defined as the visual representation which is used to represent the data.
The scale factor is k = 7. This tells us to multiply each coordinate, of each point, by the scale factor to get the dilated points.
For example, point A is at (-3, 2) and moves to A ' (-21, 14) after multiplying the x,y coordinates by 7. The same applies for points B and C as well.
The dilation rule can be written as (x, y) -> (7x, 7y)
As a result of the dilation, triangle A'B'C' has sides that are 7 times longer compared to the corresponding sides of triangle ABC.
Example: side AB = 7 units, side A'B' = 49 units
Hence, The new coordinates after dialting using scale factor are , A ' ( -21, 14 ) , B ' ( 28, 14 ) and C ' ( -7, -7 ) .
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a straight line passes through point (2,6) and 9,20) what is the equation of the line in slope-intercept form
Answer:
y = 2x + 2
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 6 ) and (x₂, y₂ ) = (9, 20 )
m = [tex]\frac{20-6}{9-2}[/tex] = [tex]\frac{14}{7}[/tex] = 2 , then
y = 2x + c ← is the partial equation of the line
to find c substitute either of the 2 points into the partial equation
using (2, 6 ), then
6 = 2(2) + c = 4 + c ( subtract 4 from both sides )
2 = c
y = 2x + 2 ← equation of line
Which function is positive for the entire interval [–3, –2]? On a coordinate plane, a curved line with a minimum value of (0, negative 3) crosses the x-axis at (negative 3, 0) and (3, 0), and crosses the y-axis at (0, negative 3). On a coordinate plane, a curved line with a minimum value of (2, negative 3) crosses the x-axis at (negative 1, 0) and (5, 0), and crosses the y-axis at (0, negative 1.5). On a coordinate plane, a curved line with a minimum value of (2, 4) and a maximum value of (0.5, 6), crosses the x-axis at (negative 1.5, 0) and crosses the y-axis at (0, 5). On a coordinate plane, a curved line with a minimum value of (negative 1.75, negative 3.9) and a maximum value of (0, 2), crosses the x-axis at (negative 2.2, 0), (negative 0.75, 0), and (0.75, 0), and crosses the y-axis at (0, 2).
The function that is positive for the entire interval [-3, -2] is given as follows:
On a coordinate plane, a curved line with a minimum value of (2, negative 3) crosses the x-axis at (negative 1, 0) and (5, 0).
When is a function positive over an entire interval?A function is positive over an interval if the values of y of the function are above zero for the entire interval.
A function is negative over an interval if the values of y of the function are below zero for the entire interval.
For the function in this problem, we have that:
It is a concave up parabola with roots at x = -1 and x = 5.The minimum value is at x = 2.As the function is concave up, it is positive to the left of the smaller root at x = -1, that is, positive for all x < -1, hence the correct option.
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Find the equation of a line passing through the point (2, -3) and parallel to x-axis.
Answer:
y = - 3
Step-by-step explanation:
A line parallel to the x- axis is a horizontal line with equation
y = c ( c is the value of the y- coordinates the line passes through )
the line passes through (2, - 3 ) with y- coordinate - 3 , then
y = - 3 ← equation of line
