this answer will be 148,147,851,852.
148147851852 is the answer I need brainiest
Find the real zero of w (x) =2x^2+10x+13
we have the quadratic equation
w (x) =2x^2+10x+13
Solve the equation using the formula
so
a=2
b=10
c=13
substitute
\(w=\frac{-10\pm\sqrt[]{10^2-4(2)(13)}}{2(2)}\)\(w=\frac{-10\pm\sqrt[]{-4}}{4}\)\(\begin{gathered} w=\frac{-10\pm2i}{4} \\ w=-2.5\pm0.50i \end{gathered}\)The given equation don't have real zeros
The solutions are complex numbers
an organization will give a prize to a local artist. the artist will be randomly chosen from among 7 painters, 4 sculptors, and photographers. what is the probability that the artist chosen will be a painter or a 5 photographer? write your answer as a fraction.
The probability that the artist chosen will be a painter or a photographer is 3/4
What is probability?Probability is the function that measures the chances that an outcome of a random event will be as expected. In this way you can measure how likely it is that an event will happen.
To solve this exercise the formula and the procedure that we have to use for probability is:
probability= (achieving success / possible outcomes)
Achieving success = 7 painters + 5 photographer = 12
Possible outcomes = 7 painters + 5 photographer + 4 sculptors = 16
Applying the formula to calculate the probability we get:
probability= (achieving success / possible outcomes)
probability= 12/16
Simplifying:
probability= 3/4
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What is the best description of thermal energy?(1 point) Responses Thermal energy is the kinetic energy contained in an object or substance due to the movement of its atoms and/or molecules. Thermal energy is the kinetic energy contained in an object or substance due to the movement of its atoms and/or molecules. Thermal energy is a measure of an object or substance’s heat. Thermal energy is a measure of an object or substance’s heat. Thermal energy is kinetic energy. Thermal energy is kinetic energy. Thermal energy is the energy stored in an object’s chemical bonds. Thermal energy is the energy stored in an object’s chemical bonds.
Answer:
A. Thermal energy is the kinetic energy contained in an object or substance due to the movement of its atoms and/or molecules.
Explanation:
Just took the Quick Check :)
The best description of thermal energy is that it is the kinetic energy contained in an object or substance due to the movement of its atoms and/or molecules.
What is thermal energy?Thermal energy is the kinetic energy contained in an object or substance due to the movement of its atoms and/or molecules.
It is a type of internal energy, which is the energy possessed by a system due to the movement and interactions of its constituent particles.
We have,
Thermal energy is a measure of an object or substance’s heat:
While thermal energy and heat are related, they are not exactly the same thing.
Heat is the transfer of thermal energy between objects or substances due to a temperature difference.
Thermal energy, on the other hand, is the energy contained in an object or substance due to the movement of its particles.
Thermal energy is kinetic energy:
While thermal energy is related to kinetic energy, they are not exactly the same thing.
Kinetic energy is the energy of motion, while thermal energy specifically refers to the kinetic energy of an object's particles.
Thermal energy is the energy stored in an object’s chemical bonds:
While chemical bonds do store energy, this is not the best description of thermal energy.
Thermal energy specifically refers to the energy stored in the movement of an object's particles.
Therefore,
The best description of thermal energy is that it is the kinetic energy contained in an object or substance due to the movement of its atoms and/or molecules.
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What is the value of min the 5/6m=15
Answer:
m=18
Step-by-step explanation:
5/6m=15 multiply 5/6 on both sides
5/6m (6/5)= 15 (6/5)
m=18
Answer: m = 18
Step-by-step explanation:
(6/5)5/6m = 15(6/5)
m = 90/5 = 18
m = 18
Al dividir "D" entre "d" se obtuvo 12 de
cociente y 8 de residuo. Si: D + d = 203.
Hallar: D
El valor que satisface D es 188.
El modelo matemático será así:
D/d = 12(resto 8)
si escribimos 8 como resto de D, entonces:
(D-8) /d=12
D-8= 12d o se puede escribir D= 12d+8
luego sustituya D= 12d+8 por D+d= 203
D+d= 203
(12d +8) +d= 203
13d= 203-8
13d= 195
re=15
sustituir d=15 en D+d= 203
D+d= 203
D+15=203
D=203-15
D=188
Sobre el modelo matemáticoEl modelo matemático es una forma de interpretación humana al traducir o formular problemas existentes en forma matemática, de modo que el problema pueda resolverse utilizando las matemáticas.
El uso principal de los modelos matemáticos es ayudar a las personas a comprender los problemas y simplificarlos para que puedan resolverse.
, los siguientes son algunos de los usos que se obtienen al utilizar un modelo matemático, a saber:
Agrega velocidad, claridad y poder de ideas en un período de tiempo relativamente corto. La descripción del problema ocupa un lugar central. Obtener una comprensión o claridad del mecanismo en el problema. Se puede utilizar para predecir eventos que surgirán de un fenómeno o su expansión. Como base para la planificación y el control en la formulación de políticas, entre otros.Obtenga más información sobre el modelo matemático en
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what is the probability that a single card drawn from a standard deck of cards will be a jack or a heart
The probability that a single card drawn from a standard deck of cards being a jack or a heart is 4/13.
Total cards in a deck = 52
Total number of jacks = 4 (a jack per suit)
Total number of hearts = 13 (including ace and face cards)
Probability of drawing a jack from a standard deck, P(A) = 4/52
Probability of drawing a heart from a standard deck, P(B) = 13/52
Probability of drawing a jack of hearts from a standard deck, P(A∩B) = 1/52
Therefore, the probability of drawing a jack or a heart, P(A B):
P(A∩B)=P(A)+P(B)-P(A B)
P(A∩B)=(4/52)+(13/52)-(1/52)
P(A∩B)=16/52
P(A∩B)=4/13
Therefore, the required probability for the given criteria is 4/13.
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A wheel is spun using a troque of 48Nm. What is the angular acceleration of the wheen if it has a moment of inertia of 62 kg. M2
The answer to the given question is the angular acceleration of the wheel is 0.7742 rad/s².
We can use the formula for rotational dynamics:
τ = Iα
where τ is the torque applied, I is the moment of inertia, and α is the angular acceleration.
Rearranging this equation, we get:
α = τ / I
Plugging in the given values, we have:
α = 48 Nm / 62 kg⋅m²
Simplifying, we get:
α = 0.7742 rad/s²
Rotational dynamics deals with the motion of objects that are rotating around an axis. The key concept in rotational dynamics is torque, which is a measure of how much a force can cause an object to rotate. The moment of inertia is another important quantity in rotational dynamics, and it describes an object's resistance to rotational motion. The moment of inertia depends on the distribution of mass around the axis of rotation. The angular acceleration of a rotating object is directly proportional to the torque applied and inversely proportional to the moment of inertia. Therefore, a greater torque or a smaller moment of inertia will result in a greater angular acceleration. These concepts are used in a variety of applications, from the motion of planets to the operation of engines and turbines.
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please help fast ill give brainlist and 5 stars
Answer:
i think its c
Step-by-step explanation:
Answer: the answer is c
Step-by-step explanation:
Ieep doing this one wrong can someone tell me what it is? Please
Answer:
1.64 inches or about 1.6 inch
Step-by-step explanation:
The big skittle is 5.5 by 3 and the smaller one is 3 by ? which can be written out like \(\frac{5.5}{3}\)=\(\frac{3}{?}\) since the skittles proportional then ? = \(\frac{3times3}{5.5}\)= 1.636363636...
so it's about 1.64
To mail a letter first class, the us postal service charges $0.34 for the first ounce and $0.21 for each additional ounce. What will be the weight of a letter costing 5.76?
Answer:
25.599
I think
Step-by-step explanation:
if its right can u please give me the brainilest
Please help, thanks.
Answer:
\(\frac{ - 5}{54} + \frac{5 \times 6}{9 \times 6} = \frac{ - 5 + 30}{54} = \frac{25}{54} \)
\( \frac{15}{4} \div \frac{3}{8} = \frac{15}{4} \times \frac{8}{3} = 10\)
\(10 \times \frac{25}{54} = \frac{250}{54} = 4 \times \frac{17}{27} \)
b )
\(4 \times \frac{17}{27} = \frac{125}{27} =\)
cube root =
\( \frac{5}{3} \)
c ) square root
\( \frac{125}{27} = \frac{ \sqrt{25 \times 5} }{ \sqrt{3 \times 9} } = \frac{5 \sqrt{5} }{3 \sqrt{3} } \)
Given: D is the midpoint of AB; E is the midpoint of AC.
Prove: DE BC
y
Complete the missing parts of the paragraph proof.
Proof:
To prove that DE and BC are parallel, we need to show
that they have the same slope.
slope of DE = 12-11=_C-C
X2 - x1 a + b - b
A(2b, 2c)
D(b, c)
Ela + bc)
slope of BC =
B(0,0)
C(2a, 0)
Therefore, because
DE 1 BC.
Answer:
The lines DE and BC have the same slope, therefore the two lines, DE and BC, are parallel
Step-by-step explanation:
To prove that DE is parallel to BC, we have;
The slope, m of the lines DE and BC are found from the following equation;
\(Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\)
Where;
(x₁, y₁) and (x₂, y₂) = (b, c) and (a + b + c) for DE, we have;
\(Slope, \, m =\dfrac{c - c}{a + b-b} = 0\)
Where we have (x₁, y₁) and (x₂, y₂) = (0, 0) and (2a, 0) for BC, we have;
\(Slope, \, m =\dfrac{0 - 0}{2a-0} = 0\)
Therefore, because the lines DE and BC have the same slope, the two lines DE and BC are parallel.
Answer:
slope of DE = 0
slope Bc = 0
slopes are =
Step-by-step explanation:
A wakeboard ramp has a rise of 3 feet and a run of 8 feet, what is the slope of the ramp? the slope of the wakeboard in our example was 3/5 how do the steepness of each ramp compare
Answer:
3/8
Step-by-step explanation:
slope = rise/run = 3/8
PLease help my guys!
Answer:
kinder
Step-by-step explanation:
1. 8
2. 2
find f(a), f(a h), and the difference quotient f(a+h) − f(a) / h , where h ≠ 0.
f(x) = 9x^2 + 5
f(a) = _____
f(a+h) = _____
f(a+h) − f(a) / h = _____
f(a) = 9a^2 + 5
f(a+h)= 9a^2 + 18ah + 9h^2 + 5
The difference quotient: f(a+h) − f(a) / h= 18a + 9h
To find f(a), f(a+h), and the difference quotient f(a+h) − f(a) / h, where h ≠ 0, we will use the function f(x) = 9x^2 + 5:
1. Find f(a):
f(a) = 9a^2 + 5
2. Find f(a+h):
f(a+h) = 9(a+h)^2 + 5
= 9(a^2 + 2ah + h^2) + 5
= 9a^2 + 18ah + 9h^2 + 5
3. Calculate the difference quotient f(a+h) − f(a) / h:
= [(9a^2 + 18ah + 9h^2 + 5) - (9a^2 + 5)] / h
= (9a^2 + 18ah + 9h^2 + 5 - 9a^2 - 5) / h
= (18ah + 9h^2) / h
Now, factor out an h from the numerator:
= h(18a + 9h) / h
Finally, simplify by canceling the h's:
= 18a + 9h
So, the answers are:
f(a) = 9a^2 + 5
f(a+h) = 9a^2 + 18ah + 9h^2 + 5
f(a+h) − f(a) / h = 18a + 9h
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Matti is making moonshine in the woods behind his house. He’s
selling the moonshine in two different sized bottles: 0.5 litres
and 0.7 litres. The price he asks for a 0.5 litre bottle is 8€, for
a
Based on the calculation, it appears that Matti had approximately 94 bottles of 0.5 litres and 11 bottles of 0.7 litres in the last patch of moonshine that he sold.
To solve the problem using the determinant method (Cramer's rule), we need to set up a system of equations based on the given information and then solve for the unknowns, which represent the number of 0.5 litre bottles and 0.7 litre bottles.
Let's denote the number of 0.5 litre bottles as x and the number of 0.7 litre bottles as y.
From the given information, we can set up the following equations:
Equation 1: 0.5x + 0.7y = 16.5 (total volume of moonshine)
Equation 2: 8x + 10y = 246 (total earnings from selling moonshine)
We now have a system of linear equations. To solve it using Cramer's rule, we'll find the determinants of various matrices.
Let's calculate the determinants:
D = determinant of the coefficient matrix
Dx = determinant of the matrix obtained by replacing the x column with the constants
Dy = determinant of the matrix obtained by replacing the y column with the constants
Using Cramer's rule, we can find the values of x and y:
x = Dx / D
y = Dy / D
Now, let's calculate the determinants:
D = (0.5)(10) - (0.7)(8) = -1.6
Dx = (16.5)(10) - (0.7)(246) = 150
Dy = (0.5)(246) - (16.5)(8) = -18
Finally, we can calculate the values of x and y:
x = Dx / D = 150 / (-1.6) = -93.75
y = Dy / D = -18 / (-1.6) = 11.25
However, it doesn't make sense to have negative quantities of bottles. So, we can round the values of x and y to the nearest whole number:
x ≈ -94 (rounded to -94)
y ≈ 11 (rounded to 11)
Therefore, based on the calculation, it appears that Matti had approximately 94 bottles of 0.5 litres and 11 bottles of 0.7 litres in the last patch of moonshine that he sold.
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Question
Matti is making moonshine in the woods behind his house. He’s selling the moonshine in two different sized bottles: 0.5 litres and 0.7 litres. The price he asks for a 0.5 litre bottle is 8€, for a 0.7 litre bottle 10€. The last patch of moonshine was 16.5 litres, all of which Matti sold. By doing that, he earned 246 euros. How many 0.5 litre bottles and how many 0.7 litre bottles were there? Solve the problem by using the determinant method (a.k.a. Cramer’s rule).
what is 87.92 rounded to the nearest tenth
Answer:
87.92 rounded to the nearest tenth would be 87.9 because you wouldn't round up unless the number after the 9 was 5 or higher.
Step-by-step explanation:
Step-by-step explanation:
87.9
......
hope it helps!
Which of the shapes below are quadrilaterals? Select all that apply.
A) rectangle
B) parallelogram
C) square
D) rhombus
Answer:
A, B, C, D
Step-by-step explanation:
Quadrilaterals are shapes that have a total of four sides. Rectangles, parallelograms, squares, and rhombuses all have a total of four sides. Therefore, they are quadrilaterals.
Rectangle, Parallelogram, Square and Rhombus are Quadrilaterals.
We know,
A quadrilateral is a polygon with four sides. It is a geometric shape that is characterized by having four straight sides and four vertices. The interior angles of a quadrilateral add up to 360 degrees.
As, Rectangle have four sides then it is a quadrilateral.
As, Parallelogram have four sides then it is a quadrilateral.
As, Square have four sides then it is a quadrilateral.
As, Rhombus have four sides then it is a quadrilateral.
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Solve 3+8X+6 = 5(X+2) + 3X-1
Answer: x= (−∞,∞)
Step-by-step explanation:
3+8x+6 = 5(x+2) + 3x-1
9+ 8x = 5x +10 + 3x -1
9 + 8x = 8x +9
Subtract nine on both sides
8x= 8x
x = Any number!
How do I solve 7? After 7 I think i can do the rest by myself
We have to find the cost of 4 lessons.
The cost for 7 lessons is $82 and the cost for 11 lessons is $122.
We can represent this as 2 points: (7,82) and (11,122).
We can calculate the slope as:
\(m=\frac{y_2-y_1}{x_2-x_1}=\frac{122-82}{11-7}=\frac{40}{4}=10\)Then, we can write an equation of a line in slope-point form as:
\(\begin{gathered} y-y_1=m(x-x_1) \\ y-82=10(x-7) \\ y=10(x-7)+82 \end{gathered}\)Now we can calculate the cost of 4 classes (x = 4) as:
\(y(4)=10(4-7)+82=10(-3)+82=-30+82=52\)Answer: the cost of 4 classes is $52.
Write an equation for this relationship.
Tickets to a zoo cost $12 for each adult and $8 for each child. A family has $72 for the zoo trip.
Use `a` for the number of adult tickets.
Use `c` for the number of child tickets.
The equation for this relationship is \(3a+2c=23\)
What is equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign. It will be regarded as a phrase.Given,
Tickets to a zoo cost $12 for each adult and $8 for each child. A family has $72 for the zoo trip
\(=12a + 8c=72\\=4(3a+2c)=72\\=3a+2c=\frac{72}{4} \\=3a+2c=23\)
Therefore, the equation for this relationship is \(3a+2c=23\)
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helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp i will put brailny
Answer:
fraction 1/4. decimal 0.25 percent 25%
Step-by-step explanation:
5:20=5/20=1/4
1/4 is 0.25
the percentage is 25% aftr multiplying the decimal by 100%
Alex, jas and stef each get a student loan to help with living expenses. they decide to allocate two fifths of their loans for food, and one-sixth for travel. what fraction of their student loan will be left to spend?
The fraction of their student loan will be left to spend is half of their loan.
A number expressed quotient, in which numerator is divided by denominator is called a fraction.
Let the loan amount be $100.
Expenses for food is given that two fifths of their loan
i.e.
= 2/5 × 100
= $40
Now,
Remaining part will be = $100- $40 = $60
So,
Expenses for travel are given that one sixth of their loan,
i.e.
= 1/6 × 60
= $10
So,
Remaining part will be = $60 - $10 = $50
Hence, the fraction of their student loan will be left to spend is half of their loan.
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use the coordinates of the labeled point to find a point-slope equation of the line
Answer:
B. y + 2 = -2(x - 4)
Step-by-step explanation:
First, find the slope (m) of the line using two points in the line, (3, 0) and (4, -2):
\( slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-2 - 0}{4 - 3} = \frac{-2}{1} = -2 \)
Slope (m) = -2.
Next, substitute (a, b) = (4, -2) and m = -2 into y - b = m(x - a)
Thus:
y - (-2) = -2(x - 4)
y + 2 = -2(x - 4)
Which question below is a Statistical Question?
A. How many students have a cell phone?
B. How many months are in a year?
C. How tall are the students in your class?
D. What is for lunch today?
Answer:
C
Step-by-step explanation:
I chose C because it more detailed than the rest of the question. Everyone already knows how many months are in a year. What is for lunch today is just a normal question. How many students have a cell phone was not really detailed but it would have been different if they said "How many percentage of college students in math class uses cell phones.
Hope this helps:)
Find equations of the normal plane and osculating plane of the curve at the given point.
X= sin 2t, y=-c0s 2t, z =(0, 1, 2x)
N(x, y, z) = [-1, √3, 2] . [x - √3/2, y + 1/2, z - √3] = 0and O(x, y, z) = [-2√3, -2, 4√3] . [x - √3/2, y + 1/2, z - √3] = 0 respectively.
The equations of the normal plane and osculating plane of the curve at the given point are given by N = 0 and O = 0.
Here is the step-by-step explanation for finding equations of the normal plane and osculating plane of the curve at the given point for X= sin 2t, y=-c0s 2t, z =(0, 1, 2x) and 150:
Given that X= sin 2t, y=-c0s 2t, z =(0, 1, 2x) and t = 150.
Let us first find the first derivative of the given function.
f (t) = [X(t), Y(t), Z(t)] = [sin 2t, -cos 2t, 2 sin 2t]f'(t) = [2 cos 2t, 2 sin 2t, 4 cos 2t]
Again, let us find the second derivative of the given function.
f''(t) = [-4 sin 2t, 4 cos 2t, -8 sin 2t]At t = 150, we have
f'(t) = [2 cos 300, 2 sin 300, 4 cos 300] = [-1, √3, 2]f''(t) = [-4 sin 300, 4 cos 300, -8 sin 300] = [-2 √3, -2, 4 √3]
At the given point [X(150), Y(150), Z(150)] = [sin 300, -cos 300, 2 sin 300] = [√3/2, -1/2, √3]
The equation of the normal plane can be found as
N(x, y, z) = [f'(150)] . [x - X(150), y - Y(150), z - Z(150)] = 0[-1, √3, 2] . [x - √3/2, y + 1/2, z - √3] = 0
The equation of the osculating plane can be found as
O(x, y, z) = [f''(150)] . [x - X(150), y - Y(150), z - Z(150)] = 0[-2√3, -2, 4√3] . [x - √3/2, y + 1/2, z - √3] = 0
Hence, the equations of the normal plane and osculating plane of the curve at the given point are given by
N(x, y, z) = [-1, √3, 2] . [x - √3/2, y + 1/2, z - √3] = 0and O(x, y, z) = [-2√3, -2, 4√3] . [x - √3/2, y + 1/2, z - √3] = 0 respectively.
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The table shows how an elevator 500 feet above the ground is descending at a steady rate.
A two column table with 5 rows. The first column, time in seconds (t), has the entries, 0, 5, 10, 15. The second column, Height in feet h(t), has the entries, 500, 475, 450, 425.
Which equation represents the height, h(t), of the elevator in feet, as a function of t, the number of seconds during which it has been descending?
h(t) = 5t + 500
h(t) = 5t – 500
h(t) = –5t + 500
h(t) = –5t – 500
Answer:
h(t) = -5t + 500
Step-by-step explanation:
At time zero, the elevator is at 500 ft.
At time 5 seconds, the elevator is at 475 ft.
The difference in height is -25 ft.
The elevator traveled -25 ft (25 ft down) in 5 seconds, so it travels at a speed of 5 ft per second. Since it is traveling down, its speed is -5 ft/sec.
For each second of travel, it loses 5 ft of height.
h(t) = -5t + 500
Answer:
C
Step-by-step explanation:
find the area of the surface. the part of the plane 13x + 5y + z = 65 that lies in the first octant
the area of the surface that corresponds to the part of the plane 13x + 5y + z = 65 lying in the first octant is 32.5 square units.
To find the area of the surface that corresponds to the part of the plane 13x + 5y + z = 65 lying in the first octant, we need to find the equation of the portion of the plane that lies in the first octant and then calculate the surface area of that portion.
First, we need to find the intercepts of the plane with the x, y, and z-axes. Setting x = 0, we get:
5y + z = 65
Setting y = 0, we get:
13x + z = 65
Setting z = 0, we get:
13x + 5y = 65
Solving these three equations simultaneously, we get:
x = 5, y = 13, z = 0
So the plane intersects the x-axis at (5,0,0), the y-axis at (0,13,0), and the z-axis at (0,0,65).
The part of the plane that lies in the first octant is bounded by the x-axis, the y-axis, and the line connecting (5,0,0) and (0,13,0). This triangular region has a base of length 5 and a height of 13, so its area is (1/2)513 = 32.5.
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Consider the function. What transformation results in ? translating 5 units down translating 10 units down reflecting across the x-axis reflecting across the y-axis.
The reflection across the x-axis, we negate the function by multiplying it by -1. And to achieve the reflection across the y-axis, we substitute x with -x in the function's original equation.
The transformation that results in translating the function 5 units down is represented by the equation f(x) - 5.
The transformation that results in translating the function 10 units down is represented by the equation f(x) - 10.
The transformation that results in reflecting the function across the x-axis is represented by the equation -f(x).
The transformation that results in reflecting the function across the y-axis is represented by the equation f(-x).
Therefore, to achieve the transformation of translating the function 5 units down, we subtract 5 from the function's original equation. To achieve the transformation of translating the function 10 units down, we subtract 10 from the function's original equation. To achieve the reflection across the x-axis, we negate the function by multiplying it by -1. And to achieve the reflection across the y-axis, we substitute x with -x in the function's original equation.
It's important to note that these transformations can be combined. For example, if we want to translate the function 5 units down and reflect it across the x-axis, we would use the equation -f(x) - 5. Similarly, other combinations of transformations can be applied depending on the desired outcome.
Please note that without the specific function or equation provided, the transformations described above are generic and can be applied to any function.
Learn more about reflection here
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Simply the expression.
4 (2m -6) - 3p - 2m + 8
Let's solve the equation.
4 (2m -6) - 3p - 2m + 8
= 8m - 24 - 3p - 2m + 8 (We simplified 4 (2m -6))
= 6m - 16 - 3p (We added the 8 to the 24)
= 6m - 3p - 16 (We organized the variables together so it matches an answer.)
The answer is A!
Answer: hii
The answer; 6m - 3p -16Step-by-step explanation:
How to solve your problem:
4 (2m -6) - 3p - 2m + 8
Simplify.
Distribute.
4 (2m -6) - 3p - 2m + 8
8m - 24 - 3p - 2m + 8
Add the numbers:
8m - 24 - 3p - 2m + 8
8m - 16 - 3p - 2m
Combine like terms:
8m - 16 - 3p - 2m
6m - 16 - 3p
Rearrange terms:
6m - 16 - 3p
6m - 3p - 16
Solution:
6m - 3p -16
Hopefully this helps you ~
- Matthew