Answer:
I dont know how to read hindi can u pls translate it into English
70 POINTS PLEASE HELP ASAP
The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):
A graph with two linear functions; f of x passes through 1, 3 and 3, 13, and g of x passes through negative 1, 3 and 1, 13.
Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)
Part B: Solve for k in each type of transformation. (4 points)
Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)
Answer:
Part A: The two types of types of transformation are
1) Rotation of 11.3° about (1, 2)
2) By algebraic transformation
Part B:
Rotation by 11.3° and T(2 - y)×1/2 + x, 0)
Part C: The transformation that can be used to transform f(x) to g(x) is T(2 - y)×1/2 + x, 0)
Step-by-step explanation:
The coordinates through which the linear function f(x) passes = (1. 3) and (3, 13)
The coordinates through which the linear function g(x) passes = (1, 3) and (1, 13)
The equation for f(x) in slope and intercept form. y = m·x + c is given as follows;
The slope, m = (13 - 3)/(3 - 1) = 5
The equation in point and slope form is y - 3 = 5×(x -1)
y = 5·x - 5 + 3 = 5·x - 3
y = 5·x - 3
The equation for g(x) in slope and intercept form. y = m·x + c is given as follows;
The slope, m = (13 - 3)/(1 - 1) = ∞
∴ The equation in point and slope form is x = 1
Therefore, the two equations meet at the point (1, 2)
The transformation that can be used to transform f(x) to g(x) is T(2 - y)×1/2 + x, 0)
2) Another transformation that can be used is to rotate f(x) by the vertex angle as follows
Vertex angle is 90° - tan⁻¹(m) = 90° - tan⁻¹(5) ≈ 11.3°
Rotation of f(x) by 11.3° about (1, 2) gives g(x)
Step-by-step explanation:
What is the potential outlier in the following data set of populaion densities? 1,19,35,43,49,55,63,94,105,110,175,231,239,351,738
Answer:
738
Step-by-step explanation:
It’s to different from the other numbers
What is an example of "A one-to-one function of P onto Q is an isomorphism of P and Q "?
An example of a one-to-one function that is an isomorphism between sets P and Q is the function f: P -> Q defined as f(x) = 2x, where P and Q are the sets of integers.
How to Identify a One-to-One Function?An example of a one-to-one function that is an isomorphism between sets P and Q is the function f: P -> Q defined as f(x) = 2x, where P and Q are the sets of integers.
This function is one-to-one because for every element x in P, there is a unique element 2x in Q. It is onto because every element y in Q has a preimage x in P such that f(x) = y (e.g., y/2 = x).
Furthermore, this function preserves the group structure between P and Q, as it satisfies the properties of an isomorphism. In this case, the group structure is addition, and the function f preserves addition: f(x + y) = 2(x + y) = 2x + 2y = f(x) + f(y) for all x, y in P.
Therefore, the function f: P -> Q defined as f(x) = 2x is an example of a one-to-one function that is an isomorphism between sets P and Q.
Read more about One-to-One Function at: https://brainly.com/question/30563810
#SPJ1
Steve interviewed several musicians to be a part of his band. If he interviewed 2 guitarists, 3 drummers, and 6 vocalists, and the band consists of one guitarist, one drummer, and one vocalist, how many different bands can Steve create?
Answer:
36
Step-by-step explanation:
fundamental counting principle:
2 x 3 x 6 = 36
Translate to an equation please.
four less than thirteen times a number is equal to that number added to eight
Hi
let call "a number" X.
then we have: 4-13X = X + 8 ..
contains (1,1) and has a shape of f(x)=2x^2 vertex is on the y axis
ANSWER
| x=0
Step-by-step explanation:
f(x) = 2x²
Rewrite the function by completing the
square
f(x)
= 2x²
Find the symmetry
X = 0
Find the dimensions of the box with volume 8000 cm3 that has minimal surface area. (Let x, y, and z be the dimensions of the box.)
Answer:
\(x = y = z = 20\)
Step-by-step explanation:
Given
\(Volume = 8000cm^3\)
Required
Determine the dimensions that minimizes the surface area.
Surface area of a box is;
\(S = 2(xy + xz + yz)\)
Volume of a box is:
\(V = xyz\)
Make z the subject
\(z = \frac{V}{xy}\)
Substitute 8000 for V
\(z = \frac{8000}{xy}\)
Substitute 1000/xy for z in \(S = 2(xy + xz + yz)\)
\(S = 2(xy + x\frac{8000}{xy}+y\frac{8000}{xy})\)
\(S = 2(xy + \frac{8000}{y}+\frac{8000}{x})\)
Expand:
\(S = 2xy + \frac{16000}{y}+\frac{16000}{x}\)
\(S = 2xy + 16000(\frac{1}{y}+\frac{1}{x})\)
Differentiate S w.r.t x
\(\frac{dS}{dx} = 2y - \frac{16000}{x^2}\)
Differentiate S w.r.t y
\(\frac{dS}{dy} = 2x - \frac{16000}{y^2}\)
Equate both differentiation to 0
\(2x - \frac{16000}{y^2} = 0\)
Multiply through by \(y^2\)
\(2xy^2 - 16000 = 0\)
\(2xy^2 = 16000\)
Divide through by 2
\(xy^2 = 8000\) -- (1)
\(2y - \frac{16000}{x^2} = 0\)
Multiply through by x^2
\(2x^2y - 16000 = 0\)
\(2x^2y = 16000\)
Divide through by 2
\(x^2y = 8000\) --- (2)
Divide (1) by (2)
\(\frac{x^2y = 8000}{xy^2 = 8000}\)
\(\frac{x}{y} = 1\)
\(x = y\)
Substitute y for x in (1)
\(x^2y = 8000\)
\(x^2 * x = 8000\)
\(x^3 = 8000\)
Take cube roots
\(x =20\)
Hence;
\(x = y = 20\)
Recall that:
\(z = \frac{8000}{xy}\)
\(z = \frac{8000}{20 * 20}\)
\(z = 20\)
Hence, the dimension of the box that minimizes the surface area of the box is:
\(x = y = z = 20\)
A concert ticket costs $23. About how much will tickets costs for a group of 22 people?
Answer:
$506
Step-by-step explanation:
We know that 1 concert ticket is $23
Multiply 23 by 22 to get 506
They spend $506 in total for the tickets.
The total cost for a group of 22 people is $506 if a concert ticket costs $23. , the answer is $506.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
A concert ticket costs $23.
Let x be the total cost for the group of 22 people:
The value of x can be found as follows:
The linear equation in one variable:
x = 23×22
x = $506
Thus, the total cost for a group of 22 people is $506 if a concert ticket costs $23. , the answer is $506.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
A native wolf species has been reintroduced into a national forest. Originally 200 wolves were transplanted, and after 3 years the population had grown to 781 wolves. If the population grows exponentially according to the formula P(t)=P(O)(1+r)^t(a) Find the growth rate. Round your answer to the nearest tenth of a percent.r = %(b) If this trend continues, how many wolves will there be in ten years?(c) If this trend continues, how long will it take for the population to grow to 1000 wolves? Round your answer to the nearest tenth of a year.
we know population growth is an exponential phenomenon. Therefore, the sequence formed will be a geometric sequence. If P_0 is the first term and P_1 is the successive term, then we get:
\(P_1=P_0(1+r)\)where r is the common ratio or the growth rate. Applying the data of the problem to the previous equation, we get:
\(781=200(1+r)\)this is equivalent to:
\(781\text{ = 200 +200r}\)solving for 200r, we get:
\(200r\text{ = 781 -200=581}\)solving for r, we obtain:
\(r=\frac{581}{200}=2.9\)Now, if the population grows exponentially, this trend can be modeled using the following formula:
\(P(t)=P_0(1+r)^t\)Applying the obtained r value and the data of the problem to the previous equation, we get:
\(P(t)=200(1+2.9)^t\)this is equivalent to:
\(P(t)=200(3.9)^t\)with this formula, we can calculate the number of wolves in 10 years:
\(P(10)=200(3.9)^{10}=162808121.7\)Now, if the population grows to 1000 wolves, we get the following equation:
\(1000=200(3.9)^t\)Solving for t, we get:
\(t=\text{ 1.18}\approx1.2\text{ years}\)We can conclude that the correct answer is:
Answer:a) r = 2.9 ( as a percent would be 290%)b) 162808121.7 c) 1.2 yearsThe vector x is in a subspace H with a basis Bequals{Bold b 1,Bold b 2}. Find the B-coordinate vector of x. Bold b 1equals[Start 3 By 1 Matrix 1st Row 1st Column 1 2nd Row 1st Column 2 3rd Row 1st Column negative 3 EndMatrix ], Bold b 2equals[Start 3 By 1 Matrix 1st Row 1st Column negative 4 2nd Row 1st Column negative 7 3rd Row 1st Column 11 EndMatrix ], xequals[Start 3 By 1 Matrix 1st Row 1st Column negative 10 2nd Row 1st Column negative 17 3rd Row 1st Column 27 EndMatrix ]
Answer and Step-by-step explanation: To find the B-coordinate vector of x:
\(b_{1} = \left[\begin{array}{ccc}1\\2\\-3\end{array}\right]\) , \(b_{2} = \left[\begin{array}{ccc}-4\\-7\\11\end{array}\right]\), x = \(\left[\begin{array}{ccc}-10\\-17\\27\end{array}\right]\)
The augmented matrix will be:
\(\left[\begin{array}{ccc}1&-4&-10\\2&-7&-17\\-3&11&27\end{array}\right]\)
Transforming into reduced row-echelon form:
= \(\left[\begin{array}{ccc}1&-4&-10\\0&1&3\\0&-1&-3\end{array}\right]\) = \(\left[\begin{array}{ccc}1&-4&-10\\0&1&3\\0&0&0\end{array}\right]\)
= \(\left[\begin{array}{ccc}1&0&2\\0&1&3\\0&0&0\end{array}\right]\)
The values for the vector will be:
x = 2
y = 3
The B-coordinate vector is of the form:
V = \(\left[\begin{array}{ccc}x\\y\end{array}\right]\)
V = \(\left[\begin{array}{ccc}2\\3\end{array}\right]\)
The B-coordinate vector of x is V = \(\left[\begin{array}{ccc}2\\3\end{array}\right]\)
brainliest , pls dont take advantage of this i need it
Answer:
B) 9 3/8 in
Step-by-step explanation:
The scale model of the model is 1/2 in for 4 feet, or 1 in for 8 feet.
The real light house is 75 feet. Divide 75 with 8:
75 feet/8 feet per inch = 9.375, or 9 3/8 inches.
B) 9 3/8 in. is your answer.
~
Simplify (X2/3) ^4/5
The answer to your questions is x8/15. Hope this helps!
Find 3 ratios that are equivalent to the given ratio 12 to 16
Answer:
8: 6, 20: 15, and 12: 9
Step-by-step explanation:
hope this helps
with expression 1. the options are, 2 factors, 3 factors, 2 terms, 3 terms.
with expression 2. the options are, 2 factors, 3 factors, 2 terms, 3 terms.
its a multiple choice question ;-;
Consider the expression 4(8x + 5)
Complete 2 descriptions of the parts of the expression.
1. The entire expression is the product of 2 factors.
1 factor is 42 factor is (8x + 5)2. On its own, (8x + 5) is a sum with 2 terms.
1 term is 8x2 term is 5For the cube shown, AD and HG are?
Parrallel lines
Oblique lines
Skew lines
Perpendicular lines
Answer:
Parallel lines
Step-by-step explanation:
Help ASAP please see photo
The circle with a chord are those that have a line joining two points on the circumferences
What is a chord?Recall that a chord a chord of a circle is a line segment that joins any two points on the circumference of the circle
From question number 1, the chords are circles 1, 2 and 5. This is because each of the circles has a line joining two points
2) From question 2 all the chords intercepted each other. This is because an intercept is a point where two straight lines meet. or you can say that An intercept in mathematics is a point on the y-axis through which the slope of a line passes
Learn more about circle theorem on https://brainly.com/question/29159533
#SPJ1
A triangle ABC has coordinates for A (-4, 1).
Triangle A'B'C' has coordinates for A' (0-3)
What is the translation?
How many units right or left and how many units up or down?
Choose the best answer from the options below:
A
B
C
D
4 right, 4 down
4 left, 4 up
You have 1 hour to answer this question or you will be logged out.
4 left, 4 down
4 right, 4 up
The solution is Option A.
The coordinate of the triangle after the translation is given by A' ( 0 , -3 ) with 4 units right and 4 units down
What is Translation?A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.
Given data ,
Let the coordinate of the triangle be represented as A
Now , the coordinate A = A ( -4 , 1 )
Now , the coordinate of the triangle after translation is A' ( 0 , -3 )
when there is a translation of the coordinate A by 4 units to the right , we get
A to 4 units right = A ( -4 + 4 , 1 )
The new coordinate of A = A ( 0 , 1 )
Now , A to 4 units down , we get
The coordinate of A' = A' ( 0 , 1 - 4 )
The coordinate of A' = A' ( 0 , -3 )
Hence , the translated coordinate is A' ( 0 , -3 )
To learn more about translation click :
https://brainly.com/question/19007400
#SPJ1
Sharise Brody folds and glues corrugated cardboard boxes at the rate of $0.57 per box. If she averages 40 boxes per hourhow much is her average hourly pay?
Answer:
she makes $22.80 a day
Step-by-step explanation:
since she makes $0.57 per box and averages at 40 boxes a day, we multiply 40 and 0.57. 40 x 0.57 = 22.8, or $22.80.
hope this helped!
Mike has $500 he wants to save for a big trip in the summer after he graduates from high school. His goal is to find an investment vehicle that will allow his money to double to $1,000 in 4 years. What compound annual interest rate, R, will make this happen?
Answer:
18.9%
Step-by-step explanation:
Given data
Principal= $500
Amount=$1000
Time= 4 years
Rate= ???
The compound interest expression is given as
A=P(1+r)^t
when we make "r" the subject of formula we have
r = (A/P)^1/t - 1
substitute
r= (1000/500)^1/4 -1
r= 2^0.25 -1
r= 1.189-1
r= 0.189
Hence the rate is
=0.189*100
=18.9%
What is the correct algebraic expression of the following statement? The product of two consecutive odd integers.
1. n + (n + 2)
2. x(x + 2)
3. y + (y + 3)
4. z(z + 1)
Answer: Let X = the smaller of the two consecutive odd integers. Therefore (X + 2) = the larger of the two consecutive odd integers.
Answer this question please
The correct option is D, the parent quadratic function is:
f(x) = x²
Which one is the parent quadratic function?First, we define the parent functions as the simplest function for each type.
For example, the parent linear function is.
y = x
The parent square root function is:
y = √x
The parent absolute value function is:
y = |x|
And so on.
So the parent quadratic function is a polynomial of degree 2 where we only have the quadratic term (and no coefficient).
Thus, the correct option is D; f(x) = x²
Learn more about quadratic functions at:
https://brainly.com/question/1214333
#SPJ1
Which step would be MOST useful in solving the system of equations by the substitution method?
A
subtract 8x from both sides in the second equation
B
add 5y to both sides in the first equation
С
divide the second equation by 7
D
multiply the first equation by 8
Answer:
B. Add 5y to both sides in the first equation.
Step-by-step explanation:
When we add 5y to both side in the first equation we will see that x = 22 + 5y
Then we can use this information in second equation like this:
-8(22+5y) + 7y = 22 which is a simpler equation and easier to solve.
So the answer to this question is B.
Help me please I need it please
Answer: C
Step-by-step explanation:
a(b+c) = ab + ac
Let a = 3, b = 28, c = 19
So, 3(28+19) = 3(28) +3(19)
Show how you got each answer:
What is the measurement of ∟1 if gg || h?
What is the measurement of ∟3 if gg || h?
Step-by-step explanation:
angles 1 and 3 are supplementary angles (together they have 180°), because together they make sure that line f is a straight line, and there are no segments of the line angling "off". a straight line can be always seen as prolonged diameter of a circle. each side represents a half-circle with 180°.
a line intersecting 2 parallel lines has the same intersection angles with both lines, as parallel lines perfectly copy each other's behavior and attributes except for the y-intercept.
the angles of intersecting lines are the same in both sides of any of the 2 lines, they are just left-right mirrored.
therefore,
angle 1 = 82° = angle 2
angle 3 = 180 - angle 1 = 180 - 82 = 98° = angle 4
Answer:
∠1 = 82°
∠3 = 98°
Step-by-step explanation:
You want the measures of angles 1 and 3 where a transversal crosses parallel lines and one of the angles is marked as 82°.
Alternate interior anglesThe "alternate interior angles theorem" tells you that the alternate interior angles created by a transversal crossing parallel lines are congruent. Hence angle 1 is congruent to the one marked 82°.
∠1 = 82°
Linear pairThe angles of a linear pair are supplementary. Angles 1 and 3 form a linear pair, so ...
∠3 = 180° -∠1 = 180° -82°
∠3 = 98°
__
Additional comment
"Interior" angles are between the parallel lines. "Exterior" angles are outside the parallel lines. "Alternate" angles are on opposite sides of the transversal. "Consecutive" or "same-side" angles are on the same side of the transversal. (Angles 2 and 4 are "consecutive".)
"Corresponding" angles are in the same direction from the point of intersection of the transversal with the parallel lines. In this figure, angle 2 and the one marked 82° are corresponding. Corresponding angles are congruent. If you remember that, and that vertical angles are congruent, and linear pairs are supplementary, you can figure out all of the other relationships.
In the end, when the lines are parallel, all of the acute angles are congruent, and all of the obtuse angles are congruent. The acute and obtuse angles are supplementary. The angle relations themselves are pretty simple; the rest is a lot of vocabulary.
Please help me I need these ASAP. I'll mark as brilliant!
make c the subject: (a+c)^2=t
make x the subject: p=3(y+2x)^2
\((a + c) ^{2} = t \\ c = \sqrt{t } - a \\ c = - \sqrt{t} - a\)
\(p = 3(y + 2x) ^{2} \\ x = \frac{ \sqrt{3p} }{6} - \frac{y}{2} \\ x = - \frac{ \sqrt{3p} }{6} - \frac{y}{2} \)
Identify the factors in the expression 3(m+2)
The factors in the expression 3(m+2) are 3 and m + 2
How to determine the factors in the expressionFrom the question, we have the following parameters that can be used in our computation:
3(m + 2)
Considering an expression
ab
Where a and b are the variables
The factors in the expression are a and b
Similarly, the factors in the expression 3(m+2) are 3 and m + 2
Read more about factor expression at
https://brainly.com/question/723406
#SPJ1
I will mark you brainiest!
Which term describes this polygon?
A) heptagon
B) dodecagon
C) 17-gon
D) 12-gon
Option D : The polygon in the image has 12 sides. Therefore, the term describes this polygon is 12-gon.
A polygon is a closed two-dimensional shape with straight sides. The number of sides a polygon has is called its order or number of sides, and is often used to name the polygon. In the case of the polygon shown in the image, it has 12 sides, which means it is a 12-gon.
The prefixes used to name polygons based on their number of sides are derived from Greek and Latin numerical prefixes. For example, the prefix "hepta-" means seven, so a polygon with seven sides is called a heptagon. Similarly, the prefix "dodeca-" means twelve, so a polygon with twelve sides is called a dodecagon.
In conclusion, a polygon is a closed two-dimensional shape with straight sides, and its order or number of sides is used to name it. The polygon in the image has 12 sides, so it is called a 12-gon, with the prefix "dodeca-" meaning twelve.
Therefore, the polygon has 12 sides, so the correct term to describe it is a 12-gon.
To learn more about polygon please click on below link
https://brainly.com/question/10441863
#SPJ1
Your grade before taking the final exam is 493pts out of 510 possible points. The final exam is worth 100 points. How many points do you have to get on the final exam to get 93% overall for the class
Answer:
You need 75 points.
Step-by-step explanation:
Giving the following information:
Total number of points= 510 + 100= 610 (100%)
Actual number of points= 493
First, we need to determine the number of points required to reach 93%:
Points required= 610*0.93
Points required= 567.3 = 568
Now, the points needed in the final exam:
Difference of points= 568 - 493
Difference of points= 75 points
You need 75 points.
Use properties to evaluate (+)(-10).
OA. 2
OB. -2
C. 5
OD. -5
To rent a certain meeting room a college charges a reservation fee of $33 and an additional fee of $9.80 per hour the club wants to spend less than 101.60 on the room what is the possible amounts of time they can rent the room use t for the number of hours solve the inequality
Answer:
They must rent for less than 7 hours
Step-by-step explanation:
The charge for the room is the fee plus the hourly rate times the hour
f = 33+9.80t
This must be less than 101.60
101.60> 33+9.80t
Subtract 33 from each side
101.60-33> 33-33+9.80t
68.6> 9.80t
Divide each side by 9.8
68.8/9.8 > t
7>t
They must rent for less than 7 hours