Suppose f(x)=x^(2) and g(x)=(3x)^(2). Which statement best compares the graph of g(x) with the graph of f(x) ?
A. The graph of g(x) is horizontally compressed by a factor of 3 .
B. The graph of g(x) is shifted 3 units to the right.
C. The graph of g(x) is vertically stretched by a factor of 3 .
D. The graph of g(x) is horizontally stretched by a factor of 3 .
Answers
Related Questions
Given: AD ≅ BC and AD ║ BC.
Prove: ΔABC ≅ ΔCDA.
Answers
From the 2 column proof below, we have been able to prove the congruent triangles that ΔABC ≅ ΔCDA.
How to prove congruent triangles?We will use a two column proof to prove that ΔABC ≅ ΔCDA.
Statement 1; AD ≅ BC
Reason 1; Given
Statement 2; AD ║ BC
Reason 2; Given
Statement 3; AC ≅ AC
Reason 3; Reflexive Property of congruence
Statement 4; ∠DAC ≅ ∠ACB
Reason 4; If 2 parallel lines are cut by a transversal, the alternate interior angles are congruent.
Statement 5; ΔABC ≅ ΔCDA
Reason 5; Side Angle Side(SAS) Congruence Postulate
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5. Which value is closest to (7.5 x 10³)+(5.2 x 105) ?
A.
B.
C.
D.
11.7 x 105
11.7 x 104
5.275 x 105
5.275 x 104
Answers
(5.2 * 10^5) = 520000
Adding
7500 + 520000 = 527500.
Verify,
5.275 * 10^5 = 527500. So option c is correct.
An insurance company wants to measure the safety of drivers. Which quantity provides the best measure of the safety of drivers?
Answers
The quantity that provides the best measure of the safety of drivers is A. the number of accidents per year.
What exactly is insurance?Insurance is a risk management tool. When you purchase insurance, you are purchasing protection against unforeseen financial losses. If something bad happens to you, the insurance company will pay you or someone you choose. If you do not have insurance and an accident occurs, you may be held liable for all associated costs.
Insurance is a risk management tool. When you purchase insurance, you are purchasing protection against unforeseen financial losses. If something bad happens to you, the insurance company will pay you or someone you choose. If you do not have insurance and an accident occurs, you may be held liable for all associated costs.
In this case, the number of accidents will be a factor to illustrate the safety.
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Calculate the length of the unknown side of this right-angled triangle.
9 cm
8 cm
Answers
Answer:
12
Step-by-step explanation:
Pythag
Find how long it takes $2500 to double if it is invested at 6% interest compounded semiannually. Use the formula A=P(1+r/n) to solve the compound interest problem.
It will take approximately years.
(Do not round until the final answer. Then round to the nearest tenth as needed.)
Answers
In 11.71 years the amount will double to the principal amount
What is Compound interest:The interest charged on a loan or deposit is known as compound interest. It is the idea that we use the most frequently on a daily basis. Compound interest is calculated for an amount based on both the principal amount and Compounded interest. This is the major distinction between compound and simple interest is this.
The formula used for
Amount, A = P(1+r/n)^ntwhere P = Principal amount
r = Rate of interest in decimal
n = Number of compounds per year
t = Time period
Here from the given data,
Principal amount, p = $ 2500
Rate of interest, r = 6% = 6/100 = 0.06
Number of compounds, n = 2 [ ∵ 12/6 = 2 ]
Here we need to find the time period
Let's assume that after 'n' years the amount will be doubled i.e $ 5000
From the given problem,
Amount, A = 2500(1+0.06/2)²ⁿ
= 2500(1+0.06/2)²ⁿ
= 2500(1 + 0.03)²ⁿ
= 2500 (1.03)²ⁿ
As we assumed after 'n' years the amount is $ 5000
=> 2500 (1.03)²ⁿ = 5000
=> (1.03)²ⁿ = 2
Apply to log on both sides
=> log (1.3)²ⁿ = log 2
=> 2t log (1.3) = log 2
=> 2t = log 2/ log(1.03)
=> 2t = 0.301029996/(0.0128372247)
[ use calculator for log (1.03) and log 2]
=> 2t = 23.4497722
=> t = 11.7248861
=> t = 11.71 ≅ 11 years
Therefore,
In 11.71 years the amount will double to the principal amount
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True or False :for a fixed value of the standard deviation and a fixed sample size, a confidence interval on the population mean will become wider as the level of confidence increases; for example, from 96% to 99%.
Answers
When the level of confidence interval increases from 96% to 99% then the population mean will also become wider for a given fixed value of standard deviation and its fixed sample size, so the given statement is true.
As given in the question,
Let us consider 'σ' be the fixed standard deviation
And 'n' be the fixed sample size
Population mean = [tex]\bar{x}[/tex] ± z ( σ /√n )
Range of confidence interval increases from 96% to 99%
For a fixed standard deviation and sample size range of population mean become wider .
For fixed [tex]\bar{x}[/tex] , standard deviation 'σ' , and sample size 'n' the value of population mean get varied as per the change in confidence interval z-score.
Therefore, the given statement when level of confidence interval increases from 96% to 99% then population mean will get wider is a true statement.
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Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units. The center of the circle lies on the x-axis. The center of the circle lies on the y-axis. The standard form of the equation is (x – 1)² + y² = 3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
Answers
The circle's radius is the same as the radius of the circle whose equation is x2 + y2 = 9.
What is the equation of circle?A circle's standard equation is written as:
x² + y² + 2gx + 2fy + C = 0
The radius of the center is (-g, -f) and radius = √g² + √f² - C
Given a circle with the equation,
x² + y² - 2x - 8 = 0
Find the circle's center.
2gx = -2x
2g = -2
g = -1
Likewise, 2fy = 0.
f = 0
(-(-1), 0) = Centre (1, 0)
This demonstrates that the circle's center is on the x-axis.
r = radius
= √g² + √f² - C
By substituting,
radius = √1² + 0² - (-8)
=√9
= 3 units radius
The circle's radius is three units.
The radius of the circle x² + y² = 9 is written as:
r² = 9
radius = 3 units
As a result, the radius of this circle equals the radius of the circle whose equation is x² + y² = 9.
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If a figure is translated 3 units left and 3 units up, which translation moves the image back to the original position?
A.3 units right and 3 units down
B.3 units left and 3 units up
C. 3 units up
D. 3 units left
Answers
Answer:
I believe it is A
Step-by-step explanation:
Just go backwards. translations on a graph are pretty simple once you understand left vs right and up vs down.
The required translation to move the image back to the original position is 3 units right and 3 units down. Option A is correct.
What is coordinate?Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.
What is translation?The translation processes in geometry enable the shift of figures from one location to other.
Here,
The given translation is ,
a figure is translated 3 units left and 3 units up,
(x' , y') ⇒ (x - 3 , y + 3 )
To shift back the image,
x' = x - 3 ⇒ x = x' + 3
y' = y + 3 ⇒ y = y' -3
Thus, the required translation to move the image back to the original position is 3 units right and 3 units down. Option A is correct.
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17. Geometry The figure shown is a rectangle. The green shape in the figure is a square. The blue anc white shapes are rectangles, and the area of the blue rectangle is 24 square inches.
a. Write an expression for the area of the entire figure that includes an exponent. Then find the area.
b. Find the dimensions of the entire figure.
Answers
The expression for the area that includes an exponent is 6² + (6 × 2) + 24
Area of the entire figure is 72 square inches
The dimension of the entire figure is 9 inches by 8 inches
Calculating the area of a figureFrom the question, we are to write an expression for the area of the entire figure
Area of the entire figure = Area of green shape + Area of white shape + Area of blue shape
Area of the entire figure = 6² + (6 × 2) + 24 square inches
The expression is 6² + (6 × 2) + 24
Thus,
Evaluating
Area of the entire figure = 6² + (6 × 2) + 24
Area of the entire figure = 36 + 12 + 24
Area of the entire figure = 72 square inches
b. The dimension of the entire figure
Width of the entire figure = Length of the green square + Width of the white rectangle
Width of the entire figure = 6 inches + 2 inches
Width of the entire figure = 8 inches
Then,
Length of the entire figure = Length of the white rectangle + Width of the blue rectangle
First, we will determine the width of the blue rectangle
Using the formula,
Area = l × w
Where l is the length
and w is the width
24 = (2 + 6) × w
24 = 8 × w
w = 24/8
w = 3 inches
Therefore,
Length of the entire figure = 6 inches + 3 inches
Length of the entire figure = 9 inches
Hence, the dimension is 9 inches by 8 inches
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9. If x+2-6x=-13 , what is the value of 2x+3?
Answers
The value of the expression 2x+3 when x = 3 is 9.
What is linear equation?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
Given linear equation is
x + 2 - 6x = -13
Combine like terms:
(x - 6x) + 2 = -13
-5x + 2 = -13
The additive inverse of 2 is -2.
Add -2 on both sides:
-5x + 2 -2 = -13 -2
-5x = -15
Divide both sides by -5:
-5x/-5 = -15/-5
x = 3
Putting x = 3 in the expression 2x + 3
2x + 3 = (2×3) + 3
2x + 3 =6 + 3
2x + 3 = 9
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Point E has the same y-coordinate as point D, but the x-coordinate of point E is the opposite of the x-coordinate of point D.
Answers
The coordinate of point D and point E will be (x, y) and (-x, y), respectively.
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line in the m:n ratio, finding the mid-point of the line, etc.
Let the coordinate of the point D be (x, y).
Point E has a similar y-coordinate as point D. Then the ordinate of the points will be the same.
And the x-direction of point E is something contrary to the x-direction of point D. Then the coordinate of point E will be (-x, y).
The coordinate of point D and point E will be (x, y) and (-x, y), respectively.
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Chloe needs a 1.25-meter piece of wood for a desk that she is building. How many centimeters need to be cut off a 2-meter piece of wood in order to use it for her desk.
Answers
Chloe needs to cut 75 centimetres after the unit conversion piece of wood in order to use it for her desk.
What is unit conversion?
Unit conversion is a multi-step process that includes rounding, selecting the appropriate number of significant digits, and multiplying or dividing by a numerical factor.
Given, Chloe needs a 1.25-meter piece of wood
Total available 2-meter piece of wood
So, the extra piece of wood = 2-1.25 = 0.75 meter
Convert meter to centimetres
Then, 1 meter = 100 centimetres
0.75 meter = 0.75*100 centimetres = 75 centimetres
Hence, she needs to cut 75 centimetres piece of wood.
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Sabina used long division to divide 3x³ + x + 2 by a x+ 2. Her work is shown. which error or error did sabrina make?
I'm not sure if those are the real answers
Answers
The correct option for the errors made by Sabina are-
Sabina did not use a coefficient placeholder for any missing terms.Sabina did not find the correct term of the quotient.Explain the long division method?You can divide huge numbers into numerous smaller groups or portions with the long division tool. The quantity of groups that may be formed when a dividend is divided by a divisor is given by the quotient, and the number of elements or integers that will remain ungrouped is given by the remainder.For the stated expression-
3x³ + x + 2 by when divided by (x + 2) by the long division method, the following is the quotient.
_____________
x + 2 ) 3x³ + x + 2 ( 3x² - 6x + 7
- 3x³ - 6x²
__________
- 6x² + x + 2
+ 6x² + 6x
____________
7x + 2
-7x - 16
__________
- 14
___________
Thus, the correct quotient for the polynomial is 3x² - 6x + 7.
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Write the equation of the line that passes through the points (8, 5) and (-8, 1). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.
Answers
Answer:
(y - 5) = 1/4 (x - 8)
Step-by-step explanation:
Point-slope form is written in the form:
(y - y) = m (x - x)
Where the two y's and two x's are from the points, and m is the slope. To write the equation, you'd plug your points into the equation and solve for m, the slope.
(1 - 5) = m (-8 - 8)
-4 = m (-16)
m = 4/16 = 1/4
Plug m into the point-slope form equation as well as one of your points, and you have an equation.
Solve the system. Nearest tenth accepted.
y=2
y=3/5x+4
Answers
The value of x for which the equation satisfies is -10/3 .
What is an equation?
In arithmetic, an equation may be a formula that expresses the equality of 2 expressions, by connecting them with the sign =
Main Body:
According to the question:
y = 2
and ,
y = 3/5 x+4
to solve the equation , we need to substitute the value of y in other equation.
2 = 3/5 x +4
now take like terms to one side for solving,
2 - 4 = 3/5 x
-2 = 3/5 x
multiplying by 5 on both sides,
-2 *5 = (3/5)*5x
-10 = 3 x
x = -10/3
Hence the value of x is -10/3.
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QR is a midsegment of triangle WUV. What is the length of segment QR?
Answers
The length of segment QR is 8 units.
What is the mid-point segment of the triangle?
The midpoint of a line segment is known as the midpoint in geometry. It is the centroid of the segment and of the ends, and it is equally distant from both of them. It cuts the section in half.
We have,
In ΔWUV
UV = 16 units
A line segment that connects two midpoints of the sides of a triangle is called a midsegment.
Mid-point segment of the triangle:
QR = 1/2(UV) .............(1)
QR = 1/2(16)
QR = 8
Hence, the length of segment QR is 8 units.
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if the total profit per month of a company is Rs 200,000 and its revenue per month can be obtained by adding Rs. 20,000 to the twice the cost per month, find the revenue and cost per month. ..?
Answers
Answer:
okey baik dan sangat bagus
help please thankssss
Answers
Jenny and Julie each drank a cup of hot chocolate after playing in the snow. Jenny put 6 more marshmallows in her cup than Julie. Together Jenny and Julie had a total of 6 marshmallows. How many marshmallows did Jenny (x) and Julie (y) each have in their hot chocolate?
Answers
Jenny has 6 marshmallows in her hot chocolate and Julie has 0 marshmallows in her hot chocolate
System of equations: Determining the number of marshmallows in hot chocolateFrom the question, we are to determine the number of marshmallows Jenny and Julie each have in their hot chocolate
From the given information,
"Jenny put 6 more marshmallows in her cup than Julie"
Then, we can write that
x - y = 6 ---------- (1)
Also,
"Together Jenny and Julie had a total of 6 marshmallows"
That is,
x + y = 6 ---------- (2)
Add equations (1) and (2) together
x - y = 6
+ [x + y = 6
--------------------
2x = 12
x = 12/2
x = 6
Substitute the value of x into equation (2)
x + y = 6
6 + y = 6
y = 6 - 6
y = 0
Hence, Jenny has 6 and Julie has 0
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help wanted proportinal relationship
Answers
Answer:
guy or girl
Step-by-step explanation:
A toy company recently added some made-to-scale models of racecars to their product line. The length of a certain racecar is 17ft. Its width is 5ft . The width of the die-cast replica is 1,25 in.
Find the length of the model.
Answers
The model's length 1.4.To do this, I'm going to put up a proportion. This time period is excessively long when compared to how long it takes to whip.
Calculate the model's length?There is a race vehicle in this question, and it's length is 21 feet. Its width is 1.4 feet. We want to know if the replica is to scale, and if so, what is the length of the replica. To do this, I'm going to put up a proportion. This time period is excessively long when compared to how long it takes to whip.As a result, since the width was also measured in inches, I'm going to refer to the length that I'm looking for as X and this time, X will be one inch. Thus, length is to wit. With regard to the race car, 21 is 2 7 as long as X is to 1.4, thus I must now cross multiply to find X. Before I do that, though, I should realize that 21/7 can be boiled down to just three numbers.In order to retrieve X alone and reverse this division by 1.4, I will multiply by 1.4, which equals x when multiplied by three. Therefore, 21 7 is three, which is equal to two x over 1.4. "4.2, 4.2 is equal to three times 1.4.To learn more about Model's length refer to:
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4x -8y = 20
3x + 4y = 5
How can you eliminate the y-terms in this system?
4x-8y=20
3x + 4y = 5
Multiply by ?
2
3
4
5
on both sides.
Answers
Question 9 of 25 Choose the equation that represents this situation. Use p to represent the price of a phone and to represent the total cost. An online business adds a $6 shipping fee to the price of each phone it sells. O A. t = 6p OB. t=p+6 O C. p=t+ 6 O D. t + p = 6
Answers
Choose the equation that represents this situation.
Use p to represent the price of a phone and t to represent the total cost. An online business adds a $6 shipping fee to the price of each phone it sells.
A. t = 6p
B. t = p + 6
C. p = t + 6
D. t + p = 6
If we used the formula f(x)= 10x to get the values for f(x) in the range from x =1 to x(limits are inclusive) We would end up with which lists?
Answers
The range for the given function, with x=1 is 10.
The given function is f(x)=10x.
What is range of a function?The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain.
Here, put x=1 in the function y=10x, we get
y=10(1)
y=10
So, the range for the given x=1 is y=10.
Therefore, the range for the given function, with x=1 is 10.
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In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Moussa sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.
81 visitors purchased no costume.
6 visitors purchased exactly one costume.
3 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase more than one costume as a decimal to the nearest hundredth.
Answers
The required probability for purchasing more than one costume is 0.03.
What is probability?Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.
The probability of any event always lies in the close interval of 0 and 1 [0,1].
The zero value of probability indicates that the event will not happen while its value equal to one indicate that it will happen.
The given problem can be solved as follows,
The number of visitors purchasing no costume, exactly one and more than one costumes are given as 81, 6 and 3 respectively.
Then, the total number is 81 + 6 + 3 = 90
Now, the probability of purchasing more than one costume is given as,
P(More than one costume) = 3/90
= 1/30
= 0.03
Hence, probability that the next person will purchase more than one costume is 0.03.
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Which letter represents the mesosphere?
A
B
C
D
Answers
Answer:
A represents the mesosphere
50pts help. Please look at attached pic
Answers
Answer:
there is no attached picture...
Step-by-step explanation:
Using the Weshcler IQ test, adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 15. b) Find the score of an individual who is at the 85th percentile.
Answers
The 85th percentile of a normal distribution is the score that is greater than or equal to 85% of the scores in the distribution. This means that the score at the 85th percentile is the same as the score that would be earned by the top 15% of individuals in the distribution.
To find the score at the 85th percentile, we can use the standard normal distribution table or use a calculator to find the z-score corresponding to the 85th percentile. The z-score is the number of standard deviations that a score is above or below the mean of the distribution.
Using a calculator or table, we find that the z-score corresponding to the 85th percentile is 1.04. Since the mean of the distribution is 100 and the standard deviation is 15, this means that the score at the 85th percentile is 100 + (1.04 * 15) = 120.4.
Therefore, the score of an individual who is at the 85th percentile on the Weshcler IQ test is 120.4.
Find the nth term of this quadratic sequence
Answers
The nth term of the quadratic sequence is aₙ = n² + 2n
What is a quadratic sequence?
Finding the nth term rule of a quadratic sequence: The nth term rule of a quadratic sequence can always be written in the form an² + bn + c.
To find this rule, we need to find a, b and c
Given data ,
Let the expression be represented as = A
Now , the value of A is
A = 3 , 8 , 15 , 24 , 35 ..
Now , taking the difference of the second term and first term , we get
d₁ = 8 - 3 = 5
d₂ = 15 - 8 = 7
d₃ = 24 - 15 = 9
So , the difference of the numbers in the sequence is odd multiples
Therefore , the sequence goes in the multiples of ( n + 2 )
Now , when n = 1
a₁ = 3
when n = 2
a₂ = 8
So , a₂ = n ( n + 2 )
substituting the value for n = 2 , we get
a₂ = 2 ( 2 + 2 )
a₂ = 2 x 4
a₂ = 8
when n = 3
a₃ = 15
So , a₃ = n ( n + 2 )
substituting the value for n = 3 , we get
a₃ = 3 ( 3 + 2 )
a₃ = 3 x 5
a₃ = 15
Therefore , the nth term of the quadratic sequence will be
aₙ = n ( n + 2 )
aₙ = n² + 2n
Therefore , the sequence is aₙ = n² + 2n
Hence , The nth term of the quadratic sequence is aₙ = n² + 2n
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HELP THANK YOU SO MUCH!!
Find the length of the diagonals. Find WY.
W: (-4,5)
Y: (3,-6)
See image Below:
Answers
Length of diagonal WY is 13.03 units
What is Distance Formula?
Distance between two points is the length of the line segment that connects the two points in a plane.
The formula to find the distance between the two points is usually given by d=√((x2 – x1)² + (y2 – y1)²).
This formula is used to find the distance between any two points on a coordinate plane or x-y plane.
According to the given question:
WXYZ is a rectangle and diagonals of a rectangle are equal in length
Coordinates of W = (-4,5) and Y = (3,-6)
To find the length of diagonal WY, we need to find distance between points W and Y.
Using distance formula to find WY
= √((3 – (-4))² + (-6 – 5)²)
= √170
= 13.03 units
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