Which equation represents the transformation formed by vertically stretching the graph of f(x)=√ by a factor of 6 and then
vertically shifting the graph 7 units up?
O g(x) = √6x + 7
O g(x)=6√x+7
○ g(x)=√x+7
O g(x)=√√√x+7
Answers
Answer:
(b) g(x) = 6√x +7
Step-by-step explanation:
You want the equation of the square root function after it has been vertically stretched by a factor of 6 and translated up 7 units.
StretchA vertical stretch is accomplished by multiplying the function value by 'a', where 'a' is the vertical stretch factor. That means the stretched square root function will be ...
f(x) = √x . . . . original square root function
h(x) = 6·f(x) = 6√x . . . . . vertically stretched by a factor of 6
TranslationA translation upward is accomplished by adding the translation amount to the function value. The translated function will be ...
h(x) . . . . . original function
g(x) = h(x) +7 . . . . . translation upward by 7 units
Our stretched and translated function is ...
g(x) = 6√x +7
Related Questions
help with example 4!!! first answer gets brainliest
Answers
Answer:
Assuming angle 1 is 75º.
1 -> 75
2 -> 105
3 -> 75
4 -> 105
5 -> 75
6 -> 105
7 -> 75
8 -> 105
a restaurant wants to gather data about a new dish by giving out free samples and asking for feedback. who should the restaurant give samples to? 1 point all diners diners who are willing to pay for the samples 80% of diners diners who spend the most money on their meal
Answers
The correct option regarding who should the restaurant give samples to generate a representative sample is given as follows:
All diners diners who are willing to pay for the samples.
What is sampling?Sampling is a technique for when a group of elements from a population is taken to represent the entire population.
This group of elements has to be representative of the entire population, as to lead to correct conclusions.
In this problem, all the dinners who are willing to pay for the samples should be sampled, as if they are willing to pay, it means that they are interested in the new dish, hence their opinions should be considered as it would improve the restaurant's revenue with the new dish.
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What is the range of the function f(x) = -2(x+1)-2, when the domain is {-5, 0, 5}?
A {-5,0,5}
B {-11,-1,9}
C {-14,-4,6}
D {-10, 0, 10}
Answers
Answer: D
Step-by-step explanation:
To find the range, substitute each element in the domain into the function.
[tex]f(-5)=-2(-5+1)-2=-10\\\\f(0)=-2(0+1)-2=0\\\\f(5)=-2(5+1)-2=10[/tex]
5. What are the real and complex solutions of the polynomial equation? (1 point)
x^3-8=0
01+i3, and 1-i√√3
O2,-1+13, and-1-i√√3
O2, 1+2i √√3, and 1-2i √√3
02, 2+2i √√3, and 2-2i
Answers
Given polynomial equation x3 - 8 = 0
x3-8 is a cubic polynomial is in the form a3 - b3 = (a - b)(a2 + ab + b2)
x3 - 23 = (x - 2)(x2 + 2x + 4)
One root is 2
x2 + 2x + 4 = 0
x = -b ± √(b2 - 4ac) / 2a
x = -2 ± √22 - 4(4) /2
x = -2 ± √4 - 16 /2
x = -2 ± √-12 /2
x = -1 ± √3i
Therefore, x = 2, -1 ±√3i
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Given,
polynomial equation x3 - 8 = 0
x3-8 is a cubic polynomial is in the form a3 - b3 = (a - b)(a2 + ab + b2)
x3 - 23 = (x - 2)(x2 + 2x + 4)
One root is 2
x2 + 2x + 4 = 0
x = -b ± √(b2 - 4ac) / 2
x = -2 ± √22 - 4(4) /2
x = -2 ± √4 - 16 /2
x = -2 ± √-12 /2
x = -1 ± √3i
Therefore, x = 2, -1 ±√3i
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question is attached
Answers
Answer:
56
Step-by-step explanation:
Top line:
100% - 80% = 20%
20% of 60 = 0.2 × 60 = 12
Small piece on top is 12.
Second line:
Small piece is 12.
100% - 60% = 40%
Small piece is also 40%.
40% of x = 12
0.4x = 12
x = 12/0.4
x = 30
The entire second line is 30.
60% of 30 = 0.6 × 30 = 18
60% of second line is 18.
Third line:
30% of third line = 18
100% - 30% = 70%
30/18 = 70/x
30x = 18 × 70
x = 42
Larger part of third line is 42.
Fourth line:
75% of 4th line is 42.
100/x = 75/42
75x = 100 × 42
x = 56
Answer: 56
which of the following are possible rational roots of the polynomial function
check all that apply
F(x)=2x^2-3x+7
a.+_2
b.+_1/2
c.+_1
d.+_1/7
e.+_7
help me
Answers
±1/2, ±1, ±7 are the possible rational roots of the polynomial function.
What is the rational root theorem?The rational root theorem, also known as the rational root test, is an algebraic theorem that states that for a polynomial equation in one variable with integer coefficients to have a solution (root) that is a rational number, both the constant term (the term without a variable) and the leading coefficient (the coefficient of the highest power) must be divisible by the fraction's denominator.
An anXn+ an− 1xn − 1 + … + a1x1 + a0 = 0 is a polynomial equation in one variable (x), where a0, a1,..., and an are regular integers. Therefore, q must divide a and p must divide a0 for a polynomial equation to have a rational solution, p/q.
It is given in the question,
F(x)=2x^2-3x+7
Here, p is a 7-fold factor.
p, thus, might have a value of 1, -1, 7, or -7.
and q is a two-fold factor.
Thus, q might have a value of 1, -1, 2, or -2.
Hence, ±1/2, ±1, ±7 are the possible rational roots of the polynomial function.
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QUICKKKKK!!
Graph the image of the figure using the transformation given.
91) translation: (x, y) →(x+3, y-5)
92.) translation: (x,y) →(x,y -2)
93) reflection across x = -2
94.) reflect across y = 1
95) rotation 180° about the origin
96) rotation 90° counterclockwise about the
origin
I’ll give you all the points just helppppp me outttt!!
Answers
Identify the points on the original figure.
Apply the transformation to each point to find the corresponding point on the image.
Connect the points on the image to form the image of the figure.
Here are the steps for each of the transformations you listed:
translation: (x, y) →(x+3, y-5)
To perform this transformation, we need to shift each point 3 units to the right and 5 units down. For example, if the original figure has a point at (1, 2), the image of that point would be at (1+3, 2-5) = (4, -3).
92.) translation: (x,y) →(x,y -2)
To perform this transformation, we need to shift each point 2 units down. For example, if the original figure has a point at (1, 2), the image of that point would be at (1, 2-2) = (1, 0).
reflection across x = -2
To reflect a figure across the line x = -2, we need to negate the y-coordinates of each point. For example, if the original figure has a point at (1, 2), the image of that point would be at (1, -2).
94.) reflect across y = 1
To reflect a figure across the line y = 1, we need to negate the x-coordinates of each point. For example, if the original figure has a point at (1, 2), the image of that point would be at (-1, 2).
rotation 180° about the origin
To rotate a figure 180° about the origin, we need to negate both the x- and y-coordinates of each point. For example, if the original figure has a point at (1, 2), the image of that point would be at (-1, -2).
rotation 90° counterclockwise about the origin
To rotate a figure 90° counterclockwise about the origin, we need to swap the x- and y-coordinates of each point and negate one of them. For example, if the original figure has a point at (1, 2), the image of that point would be at (-2, 1).
I hope this helps! If you provide the points on the original figure, I can help you graph the image for each of the transformations.
The image after the transformations of rotation, translation or reflection can be found by certain operation or rotation.
We can find how to know the image of certain figures after the given transformations are done.
91) Here it is translation.
x coordinates are shifted to right by 3 units and y coordinates are shifted to down by 5 units.
So the entire graph will be shifted to right by 3 units and down by 5 units.
92) Here, the translation is by not shifting the x coordinates and shifting the y coordinates 2 units to the down.
So the entire graph will be shifted to down by 2 units.
93) When a graph is reflected across x = -2, then the graph is moved horizontally such that the original figure and the image will be at the same distance from x = -2.
94) When a graph is reflected across y = 1, then the graph is moved vertically such that the original figure and the image will be at the same distance from y = 1.
95) When a graph is rotated about the origin 180°, if it is clockwise or anticlockwise, each of the coordinates (x, y) in the graph will become (-x, -y).
96) If the rotation is 90° counterclockwise about the origin, the coordinates (x, y) in the original graph becomes (-y, x).
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Answers
Answer:
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Step-by-step explanation:
The figure shows two parallel lines cut by a transversal what is the value of x
Answers
The value of.x will be 20 and the angles will each have a value of 90 degrees.
What are angles?When two rays are linked at their ends, they create an angle in geometry. The sides or arms of the angle are what are known as these rays.
When two lines meet at a point, an angle is created.
An "angle" is the measurement of the "opening" between these two rays. It is symbolized by the character. The circularity or rotation of an angle is often measured in degrees and radians.
Angles are a common occurrence in daily life.
Angles are used by engineers and architects to create highways, structures, and sports venues.
Hence, The value of.x will be 20 and the angles will each have a value of 90 degrees.
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Express the radical using the imaginary unit, i.
Express your answer in simplified form.
+√-16 = ±
Answers
Since the square root of negative 16 is 4i, and then outside is positive. It is just 4i.
A work ladder can extend to 8 meters. How many centimeters is that? How many kilometers is that? Use 1000 m) unit analysis to solve this conversion problem (1 km ==
Answers
Answer:
8m = 800cm
8m = 0.008km
Step-by-step explanation:
1 kilometer is 1000 meters
1 meter is 100 centimeters
You'd only have to multiply in the first one:
[tex]8 \times 100 = 800[/tex]
8m = 800cm
Remember that when multiplying by 100 you only have to add zeros.
For km, as it is bigger than m you have to divide by 1000, when dividing this time you only have to carry an imaginary point starting from right to left, the amount of zeros there are:
[tex]8. \\ .8 \\ .08 \\ .008 \\ 8 \div 1000 = .008[/tex]
8m = 0.008km
If you run out of numbers when carrying the point, just add zeros.
A recipe calls for 3/2 cups of flour. You only have a 1/2 cup measuring cup. What fraction of a cup of flour, in halves, do you need?
Answers
To obtain an amount of 3 / 2 cups of flour, then we need three halves of cup by means of a 1 / 2 cup measuring cup.
How many cups are needed to get the require amount of flour
In this problem we have the case of recipe that requires 3 / 2 cups of flour in terms of certain number of measuring cups with an amount of 1 / 2 cups. The number of measuring cups (n) is equal to the total required by the recipe (M) divided by the amount of the measuring cup (m), both in cups. That is:
n = M / m
If we know that m = 1 / 2 cup and M = 3 / 2 cup, then the number of measuring cups is:
n = (3 / 2 cup) / (1 / 2 cup)
n = 3
In other words, we need 3 halves of a cup of flour to obtain the required amount of 3 / 2 cups.
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In art, what is the difference between symmetry and balance?
Answers
This should probably go in the ART section of Brainly, it may be confusing to people like me, who only have math on here :]
Balance is the use of even elements in a work of art, while symmetry is a type of balance, where parts of the image are mirrored.
Hope this helps,
:]
Below are two parallel lines with a third line intersecting them.
x =
136
Answers
For each value of u, determine whether it is a solution to 9u-7≥65.
Answers
9u>=65+7
9u>=72
U>=9
Brainly pls
Solve this problem and explain how you did it. Hurry, it's due by Sunday at 11:59 pm!
Answers
Answer: m<a 57 degrees
Step-by-step explanation:
All of the angles are the same and equal, so all angles are 57 degrees. Including m<a
Which is g(x)? In this question
Answers
The equation of the transformed function is (c) g(x) = 4(1/3x)²
How to describe the transformation from the parent function?From the question, we have the following function that can be used in our computation:
f(x) = x²
g(x) = horizontally shrunk of f(x) by a factor 1/3 and vertical stretch by a factor of 4
The above equations implies that, we have the transformation to be:
Horizontally shrunk of f(x)Vertical stretch by a factor of 4Mathematically, this can be represented as
g(x) = 4f(1/3x)
Substitute the known values in the above equation, so, we have the following representation
g(x) = 4(1/3x)²
Hence, the transformed function si g(x) = 4(1/3x)²
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what is 1-1/3 pls help me
Answers
Answer:
2/3
Step-by-step explanation:
1-1/3 is the same that 3/3 - 1/3
3/3 - 1/3 = 2/3
Find the value of the variable. Type your number answer into box. (This is the same picture as #5.)
the answer to 5 was 1.67
Answers
Answer:
x = 21
Step-by-step explanation:
[tex]\frac{x}{9}[/tex] = [tex]\frac{35}{15}[/tex]
[tex]\frac{35}{15}[/tex] can be simplified to [tex]\frac{7}{3}[/tex] if we divide the numerator and denominator by 5
[tex]\frac{x}{9}[/tex] = [tex]\frac{7}{3}[/tex] cross multiply and solve for x
3x = 63 Divide both sides by 3
x = 21
Rectangle A measures 9 inches by 3 inches. Rectangle B is a scaled copy of Rectangle A.
Select all of the measurement pairs that could be the dimensions of Rectangle B.
4.5 inches by 1.5 inches
8 inches by 2 inches
10 inches by 4 inches
13.5 inches by 4.5 inches
90 inches by 30 inches
Answers
Answer:32
Step-by-step explanation:
which exspression shows 50+30 written as a product of two ffactors
Answers
Hey, sorry if I mixed up some words I had just broke my wrist yesterday...
Now, 50 Can be written as five, multiplied by 30 can be written as three multiplied by 10. So 50 unless 30 that's equal to five, multiplied by 10 plus three, multiplied by 10. here 10 is a common factor. So this equals 10 multiplied by the sum of five and three.
What is the value of t?
Answers
Answer: t = 37.8 degree
Step-by-step explanation:
We know that a circle has 360 degrees, this is half a circle, so it total is 180 degrees.
We add 63.7 with 78.7 = 142.4 degree
Take 180 - 142.2 = 37.8 degree
A box has length of 6 feet width of 7 feet and a height of 4 inches
Answers
Answer: 168in^3
Step-by-step explanation:
6 x 7 x 4 = 168
On the Dell River, a boat will pass the Colby drawbridge and then the Wave drawbridge. Rename each of the two drawbridge opening times. There are 60 minutes in an hour so use 60 as a common denominator. Then rename each opening time using another common denominator. Explain how you found your answers
Answers
Because we know that the common denominator is 60 then 3/4 of an hour is 45mins then 1/6 of an hour is 10.
Given,
In the question:
There are 60 minutes in an hour so use 60 as a common denominator. Then rename each opening time using another common denominator.
Explain how you found your answer.
Now, According to the question:
There are 60 min in an hour
and, 60 as a common denominator.
So, 45/60 and 10/60
Explanation: Because we know that the common denominator is 60 then 3/4 of an hour is 45mins then 1/6 of an hour is 10.
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P---> P' (2,-4) for (x,y) ---> (x-3, y-3) and reflection line y=x Find the coordinates of P
Answers
The coordinates of P' after the transformation are (-1, 1)
How to determine the coordinates that describe the transformation of P?From the question, we have the following parameters that can be used in our computation:
Point P' = (2, -4)
This point can be represented as
(x, y) = (2, -4)
Also, from the question, we have the transformation to be:
(x-3, y-3) and reflection line y=x
Mathematically, this can be expressed as
(x, y) = (y - 3, x - 3)
So, we have
Point P' = (2, -4)
This means that
y -3 = 2
x - 3 = -4
Evaluate
y = 1
x = -1
Hence, the point P after transformation is (-1, 1)
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What is the solution to this system of equations? 2x+y=40 x-2y=-20
Answers
Answer: the solution to the system of equations is x = 12 and y = 16.
Step-by-step explanation: To solve this system of equations, you can use the method of substitution.
First, solve one of the equations for one of the variables. For example, you can solve the first equation for x:
2x + y = 40
2x = 40 - y
x = (40 - y)/2
Then, substitute this expression for x in the second equation:
x - 2y = -20
(40 - y)/2 - 2y = -20
Multiplying both sides by 2, we get:
40 - y - 4y = -40
-5y = -80
y = 16
Substituting this value for y in the first equation, we can solve for x:
2x + 16 = 40
2x = 24
x = 12
Therefore, the solution to the system of equations is x = 12 and y = 16.
HELP ME ASAP!!!!!!!!
Answers
Answer:
The lie is #3
Step-by-step explanation:
The only way to solve this is by testing each equation to see if it's true. Remember that dividing powers with the same base, in this case b, means you're just subtracting the exponents.
Substituting 5 for y in #1 gives us the equation [tex]\frac{b^9}{b^5}=b^4[/tex]. This is the same as saying [tex]b^9^-^5=b^4[/tex], which is true.
Substituting 7 for z and 2 for x in #2 gives us [tex]\frac{b^7}{b^2}=b^5[/tex]. Like we did for the first one, this is the same as [tex]b^7^-^2=b^5[/tex], which is also true.
That means that #3 is a lie, but substituting 2 for x anyway gives us [tex]\frac{b^8}{b^2}=b^8[/tex], or [tex]b^8^-^2=b^8[/tex]. This is not a true statement, and x would have to equal 0 for this to be true.
Use the equation y=x2−3x+2 to answer the following questions. Part A: What numeric expression should be added in order to complete the square for the given equation? Part B: What equation is equivalent to the given equation after completing the square? Select two answers: one for Part A and one for Part B.
Answers
Part A
[tex](b/2)^2 =(-3/2)^2 =\boxed{9/4}[/tex]
Part B
[tex]-x^2 -3x+2\\\\=-(x^2 +3x)+2\\\\=-(x^2 +3x+2.25-2.25)+2\\ \\=-((x+1.5)^2 -2.25)+2\\\\=-(x+1.5)^2 +2.25+2\\\\\boxed{y=-(x+1.5)^2 +4.25}[/tex]
Fill in the blank. (Please help)
Answers
Answer: Table
Step-by-step explanation: Hope you find it helpful!
which point is not on the graph of 5x+6y=-42
Answers
The slope is m = RISE / RUN, and the change in y is frequently referred to as "RISE."
Step-by-step explanation:[tex]5*x-6*y-(42)=0[/tex]
Tiger understands that this is a straight line equation. Typically, this equation is expressed as y=mx+b (or "y=mx+c" in the UK).
A straight line drawn using the Cartesian coordinate system has the formula "y=mx+b," where "y" denotes the vertical axis and "x" denotes the horizontal axis.
In this equation, y represents how high the line rises, x represents how far it travels along, m represents the slope or gradient, or how steep the line is, and b represents the Y-intercept, or the point at which the line crosses the Y axis.
The X, Y, and slope are collectively referred to as the line properties. We will now plot the line 5x-6y-42 = 0 and determine its characteristics.
x = 0 the value of y is 7/-1 so this line "cuts" the y axis at y=-7.00000
y-intercept = 42/-6 = 7/-1 = -7.00000
y = 0 the value of x is 42/5 Our line therefore "cuts" the x axis at x= 8.40000
x-intercept = 42/5 = 8.40000
Slope = 1.667/2.000 = 0.833 x-intercept = 42/5 = 8.40000 y-intercept = 42/-6 = 7/-1 = -7.00000To learn more about 5x+6y=-42 refer to:
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