Select ALL the correct answers. Consider the graph given below. A diagonal curve declines from (negative 2, 10), (0, 6), (1, 4), (2, 2), (3, 0), (4, negative 2), (5, negative 4), (6, negative 6), (7, negative 8),and (8, negative 10) on an x y coordinate plane. Determine which sequences of transformations could be applied to the parent function, f(x) = x, to obtain the graph above. Reflect over the x-axis, vertically stretch by a factor of 2, and then shift up 6 units Shift right 3 units, reflect over the y-axis, and then vertically stretch by a factor of 2 Shift left 3 units, reflect over the y-axis, and then vertically stretch by a factor of 2 Shift left 2 units, reflect over the y-axis, and then vertically stretch by a factor of 6 Reflect over the y-axis, vertically stretch by a factor of 2, and then shift up 6 units Shift up 6 units, reflect over the x-axis, and then vertically stretch by a factor of 2
Answers
The sequence of transformations needed to transform the parent function f(x) into the linear function g(x) = 6 - 2x is given as follows:
Reflect over the x-axis, vertically stretch by a factor of 2, and then shift up 6 units.Reflect over the y-axis, vertically stretch by a factor of 2, and then shift up 6 units.Linear function and transformationA linear function is defined according to the following rule:
y = mx + b.
In which:
m is the slope of the function, which is by how much y changes by when x changes by 1.b is the intercept of the function, which is the value of y when x = 0.From the stated graph, we have that when x = 0 and y = 6, and when x increases by 1, y decays by 2, hence the function is defined as follows:
y = -2x + 6.
The parent function is:
f(x) = x.
Then, to generate the transformed function, we have that:
x -> -x, hence the function was reflected over any of the axis.-x -> -2x, hence there was a vertical stretch by a factor of 2.-2x -> -2x + 6, meaning that the function was shifted up 6 units.Using these three bullet points, the correct options were chosen.
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Answer:
Your welcome
Step-by-step explanation:
Related Questions
What is the average rate of change of the function f(x)=5(2)xfrom x = 1 to x = 5? Enter your answer in the box.
Answers
Solution:
Given:
[tex]\begin{gathered} f(x)=5(2)^x \\ \text{from x = 1 to x = 5} \end{gathered}[/tex]The average rate of change of a function can be calculated by;
[tex]\begin{gathered} \text{Average rate of change=}\frac{f(b)-f(a)}{b-a} \\ \text{where a =1} \\ b=5 \end{gathered}[/tex]27. In a neighborhood donut shop, one type of donut has 560 calories, two types of donuts have 400 calories, five types of donuts have 570 calories, six types of donuts have 450 calories, and seven types of donuts have 550 calories.Find the mean number of calories in these donuts. Round your answer to the nearest whole number, if necessary. caloriesFind the median number of calories in these donuts. calories
Answers
ANSWER:
Mean: 512 calories
Median: 550 calories
STEP-BY-STEP EXPLANATION:
The first thing is to determine the data necessary to calculate the mean and median, according to the statement, the data is as follows:
[tex]560,400,400,570,570,570,570,570,450,450,450,450,450,450,550,550,550,550,550,550,550[/tex]The mean is the average value of a set of numeric data, calculated as the sum of the set of values divided by the total number of values:
[tex]\begin{gathered} m=\frac{560+400+400+570+570+570+570+570+450+450+450+450+450+450+550+550+550+550+550+550+550}{21} \\ m=\frac{10760}{21}=512.38\cong512 \end{gathered}[/tex]The median is a central position statistic that splits the distribution in two, that is, it leaves the same number of values on one side as on the other. To calculate the median it is important that the data are ordered from highest to lowest, or conversely from lowest to highest, therefore, we organize:
[tex]400,400,450,450,450,450,450,450,550,550,550,550,550,550,550,560,570,570,570,570,570[/tex]The value in the middle after arranging is 550, therefore the median is 550 calories.
What is the H.c.f of 16 and 30
Answers
The HCF of 16 and 30 is 2.
What is HCF?The greatest number that totally divides two numbers is known as the Highest Common Factor (HCF). The Greatest Common Divisor (GCD) is another name for the Highest Common Factor (HCF) (GCD).The HCF of two numbers can be determined in a variety of methods. Using the prime factorization technique is one of the easiest techniques to determine the HCF of two or more numbers.SO, the given numbers are 16 and 30
The prime factorization of 16 and 30 are as follows:
16 = 2 × 2 × 2 × 230 = 2 × 3 × 5Multiply all the prime factors that both numbers share in order to determine the HCF:Thus, HCF is = 2.
With the help of prime factorization method we can conclude that the HCF of 16 and 30 is = 2.
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A 16-foot ladder leaning against the side of a house reaches 12 feet up the house. What angledoes the ladder make with the ground?
Answers
Given:
By the definition of sin
[tex]\begin{gathered} \sin \theta=\frac{opposite\text{ }}{\text{hypotenuse}} \\ \theta=\sin ^{-1}(\frac{opposite\text{ }}{\text{hypotenuse}}) \\ \theta=\sin ^{-1}(\frac{12}{16}) \\ \theta=48.59^{\circ} \end{gathered}[/tex]Answer:
[tex]\text{The ladder makes }48.59^{\circ}\text{ with the ground}[/tex]if the sales tax rate is 6.25% in your city, find the final cost of the item diamond ring : $655.75discount rate: 40%
Answers
What is 40% of 655.75??
40% = 40/100 = 0.4
So,
655.75 * 0.4 = $262.30
On top of that, we have to pay a sales tax of 6.25%, which is
6.25% = 6.25/100 = 0.0625
So,
262.30 * 0.0625 = $16.39
We ADD this tax to get final amount:
Amount Paid = 262.30 + 16.39 = $278.69I need help on B and an explanation. Approximate bearinge angle
Answers
The bearing of a given point is the number of degrees in the angle measured in a clockwide direction from the north line.
Since we dont have a complete information about where point P is located with respect to point A and B, we can approximate the bearing point. Let's draw a picture of our problem:
As we can note, the approximate bearing angle is about 260 degres from point P.
Use interval notation to describe all the x-values within or including a distance of the given values. Use the drop down menu to select the correct symbols to indicate your answer in interval notation. If a number is not an integer then round it to the nearest hundredth. To indicate positive infinifty ( \infty ) type the three letters "inf". To indicate negative infinity(-\infty ) type "-inf" with no spaces between characters.Distance of 5 units from the number 7AnswerAnswer,AnswerAnswer
Answers
The sentence
"Distance of 5 units from the number 7"
The part "From the number 7" indicates that you have to start counting from 7 on. Then the left bound of the interval is number 7.
To determine the right bound of the interval you have to count 5 units starting from 7, so add 5 to 7
[tex]7+5=12[/tex]The right bound of the interval is 12.
So, the values of x within the distance described by the sentence are: (7,12)
Which digit represents 100 times the value of the ones place
Answers
Depending upon the position of the digits represent the 100 times the place value of the ones place.
What is place value?
In mathematics, every digit can be defined as a place value in a number. Basically, it is completely depends on the position of the digits in a number. Most of the number has same digits, but their positions are different, which makes the number different.
According to the question, all the digits represents 100 times the place value of the ones place.
Those digits can be defined as [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]. But the position of the digit should be at the 100th place.
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The next model of a sports car will cost 13.8% more than the current model. The current model costs $56,000. How much will the price increase in dollars? What will be the price of the next model?
Answers
Current model is $56,000
New model is 13.8% more expensive
13.8% of 56,000 = 56000*13.8/100 = 772800/100 = 7728
Nex model price = 56000+7728 = 63728
Answers:
The price increase in dollars is $7,728
The price of the next model is $63,728
if Joey drives 222 3/4 miles 3 3/8 hours . if he drives at a constant rate how far will he drive in one hour ?
Answers
Start by making the mixed numbers into fractions using that:
[tex]A\frac{b}{c}=\frac{(A\cdot c)+b}{c}[/tex]According to this:
[tex]222\frac{3}{4}=\frac{(222\cdot4)+3}{4}=\frac{888+3}{4}=\frac{891}{4}[/tex][tex]3\frac{3}{8}=\frac{(8\cdot3)+3}{8}=\frac{24+3}{8}=\frac{27}{8}[/tex]To find the rate we divide the distance over the time
[tex]\frac{\frac{891}{4}}{\frac{27}{8}}=\frac{891\cdot8}{27\cdot4}=\frac{7128}{108}=\frac{66mi}{h}[/tex]The rate idicates that joey drives 66 miles in one hour.
HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE ASAPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
A pair of Nike tennis shoes costs $29.10 more than a pair of Reeboks. If Josh buys one of each brand and spends a total of $154.10, what did each brand cost?
Answers
Answer:
Nike=RM106.15
Reeboks=RM47.95
Two factory plants are making TV panels. Yesterday, Plant A produced 2000fewer panels than Plant B did. Four percent of the panels from Plant A and 2% of the panels from Plant B were defective. How many panels did Plant B produce, if the two plants together produced 880 defective panels?
Answers
Using a series of linear equations, the number of panels generated by Plant B is 16000.
Given,
Plant A produces 2000 fewer panels than Plant B.
Defective percentage of plant A = 4%
Defective percentage of plant B = 2%
To find: Number of useable panels of Plant A and Plant B if 880 are defective.
Let's take, panels produced by Plant B = b
and panels produced by Plant A , a = b - 2000 - - - - (1)
The total number of defective panels :
0.04a + 0.02b = 880 - - - - - (2)
From (1) :
0.04(b - 2000) + 0.02b = 880
0.04b - 80 + 0.02b = 880
0.06b = 880 + 80
0.06b = 960
b = 960 ÷ 0.06
b = 16,000
Therefore, plant B built 16,000 panels.
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Can you find the area of a square using the given side lengths:
Answers
Answer
• d) 0.01 m²
,• e) 12.25cm²
Explanation
The area of a square (A) is given by:
[tex]A=s^2[/tex]where s represents the side length.
• d) ,s = 0.1 ,m
Replacing the data we get:
[tex]A=(0.1)^2[/tex]Simplifying:
[tex]A=0.01m^2[/tex]• e) ,s = 3.5cm
Replacing the data we get:
[tex]A=(3.5)^2=12.25cm^2[/tex]Expand and simplufy (2x-3)(3x-5)
Answers
Answer:
6x² - 19x + 15
Step-by-step explanation:
(2x - 3)(3x - 5)
each term in the second factor is multiplied by each term in the first factor , that is
2x(3x - 5) - 3(3x - 5) ← distribute parenthesis
= 6x² - 10x - 9x + 15 ← collect like terms
= 6x² - 19x + 15
PLS HELP !!!!! WILL GIVE BRAINLIEST!!
Answers
Answer:
ADB
Step-by-step explanation:
They are the same.
The surface area of a cube is 42 in2. What is the volume of the cube?
Answers
Answer:
7√7 in or 18.52 in=======================
Let the side of the cube be a.
Then its surface area is:
S = 6a²Find the side of the cube:
42 = 6a²a² = 7a = √7Find the volume of the cube:
V = a³ = (√7)³ = 7√7 ≈ 18.52 inThe formula used to convert degrees Celsius to degrees Fahrenheit is
F = C +32.
Convert 77°F to degrees Celsius. Solve the formula for C, and then use it to
convert the temperature.
Which is the correct formula and conversion?
Answers
77°F is equivalent to 45°C as per the given equation.
The correct formula for conversion is,°F = (°C × 9/5) + 32, and 77°F is equivalent to 25°C
This is a problem with the temperature conversion. We can solve this problem by following a few steps.
F = C +32 as per the question and the temperature is given as 77°. We have to convert this temperature to degrees Celsius. We can write C as (F-32).
Hence the formula for C can be written as C = F - 32
Now we can find convert the temperature,
C = F - 32
Or, C = 77 - 32 [ subtracting 32 from both sides ]
Or, C = 45
Here we can conclude that 77°F is equivalent to 45°C as per the question.
The correct formula for conversion is,
°F = (°C × 9/5) + 32
Or, 77 = (C × 9/5) + 32
Or, (C × 9/5) = 77 - 32 [ subtracting 32 from both sides ]
Or, (C × 9/5) = 45 [ multiplying both side with 5/9 ]
Or, C = (45×5) / 9 = 25
According to the correct conversion equation, 77°F is equivalent to 25°C
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When are two events considered to be independent? A. when the occurrence of each event is not affected by the occurrence of the other event B. when the occurrence of the second event affects the occurrence of the first event C. when the occurrence of the first event affects the occurrence of the second event D. when the occurrence of each event affects the occurrence of the other
Answers
The two events are considered to be independent when the occurrence of each event is not affected by the occurrence of the other event
The event is defined as the outcome or the set of all the outcomes of the random experiment
Independent event is defined as the occurrence of the one event does not depends on the occurrence of another event
So we can say that, two events are independent events when the occurrence of the one event does not depends on the occurrence of the other event.
Hence, The two events are considered to be independent when the occurrence of each event is not affected by the occurrence of the other event
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identifica a que propiedad pertenece 9 a -3 potencia
Answers
We are asked to identify which properties of exponent to apply in order to reduce the expression:
[tex]9^{-3}[/tex]This is the property associated with negative exponents that include the fact that we are dealing with a division:
[tex]a^{-n}=\frac{1}{a^n}[/tex]This is the negative exponent property, so for our case we write;
[tex]9^{-3}=\frac{1}{9^3}=\frac{1}{729}[/tex]SO find the property I am higlighting in the image below:
Michael wants to buy a comic book and it costs $13.00. He has $6.85. How muchmore money does Michael need to buy the comic book?
Answers
To find how much more money Michael needs, you have to subtract his savings from the cost, as follows
$13.00 - $6.85 = $6.15
simplify (4z-13)+(9-9z)
Answers
Answer:
the answer is -5z-4
Step-by-step explanation:
you just combined the like terms
I need help with my math
Answers
Given
Graph
Procedure
[tex]\begin{gathered} 3x+2y=-6 \\ 2y=-6-3x \\ y=\frac{-3x-6}{2} \\ y=-\frac{3}{2}x-3 \\ \end{gathered}[/tex][tex]\begin{gathered} 3y=2x+15 \\ y=\frac{2x+15}{3} \\ y=\frac{2}{3}x+\frac{15}{3} \\ y=\frac{2}{3}x+5 \\ \end{gathered}[/tex][tex]\begin{gathered} y-4x=8 \\ y=4x+8 \end{gathered}[/tex][tex]\begin{gathered} y-8=-\frac{1}{2}(x+4) \\ y-8=-\frac{1}{2}x-\frac{1}{2}4 \\ y=-\frac{1}{2}x-2+8 \\ y=-\frac{1}{2}x+6 \end{gathered}[/tex][tex]\begin{gathered} 3x-4y=8 \\ 4y=-8+3x \\ y=\frac{3x-8}{4} \\ y=\frac{3}{4}x-\frac{8}{4} \\ y=\frac{3}{4}x-2 \end{gathered}[/tex][tex]\begin{gathered} 6x-2y=10 \\ 2y=6x-10 \\ y=\frac{6x-10}{2} \\ y=\frac{6x}{2}-\frac{10}{2} \\ y=3x-5 \end{gathered}[/tex]Given csc A = 65 and that angle A is in Quadrant I, find the exact value of cot A insimplest radical form using a rational denominator.
Answers
The trigonometric expression for relation between csc A and cot A.
[tex]undefined[/tex]The weight of oranges growing in an orchard is normally distributed with a mean
weight of 5.5 oz. and a standard deviation of 1 oz. Using the empirical rule, determine
what interval would represent weights of the middle 68% of all oranges from this
orchard.
Answers
4.5 to 6.5 oz
Challenge: The price of Stock A at 9 A.M. was $14.76. Since then, the price has been increasing at the rate of $0.09 each hour. At noon the price of Stock B was $15.26. It begins to decrease at the rate of $0.14 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?
Answers
In one hour, the prices of the two stocks will be the same.
The price of stock A at 9 a.m. was $14.76.The rate of increase in the price of stock A per hour is $0.09.The price of stock B at 12 p.m. was $15.26.The rate of decrease in the price of stock B per hour is $0.14.Let the number of hours after which the prices of the two stocks become the same be "x".We also need to consider that the price of stock A is given at 9 a.m., whereas the price of stock B is given at 12 p.m.14.76 + (3+x)*0.09 = 15.26 - (x)*0.1414.76 + 0.27 + 0.09x = 15.26 - 0.14x0.23x = 0.23x = 1Thus, the number of hours after which the prices of the two stocks become the same is one hour.To learn more about rate, visit :
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Solve each system of equations by GRAPHING. Clearly identify your solution.4x - y = 33x + y = 4
Answers
Answer:
( 1, 1 )
Step-by-step explanation:
Hope this helps :)
3. Refer to Table 1. Which of the following price floors would be binding in this market?
$1
$2
$3
$4
Answers
Explanation:
The term "binding price floor" means "a price that is above equilibrium".
If the floor is at equilibrium or lower, then buyers and sellers will just go for the equilibrium price (as they naturally would have done anyway) and there's no need for the floor. In such cases, the floor is considered non-binding.
As you pointed out in the table, the equilibrium price is $3 where quantity supplied equals quantity demanded. A binding floor price would be $4 since it's above equilibrium.
Find the area of the rectangle that has a perimeter of 8x − 14 units and a length of x − 5 units.
Answers
Answer: Area = 4 square units
Perimeter of the rectangle = 8x - 14 units
Length of the rectangle = x - 5 units
Let the width of the rectangle = x units
Perimeter = 2( length + width)
8x - 14 = 2(x - 5 + x)
Solve the parenthesis for once
8x - 14 = 2(x + x - 5)
8x - 14 = 2(2x - 5)
8x - 14 = 4x - 10
Collect the like terms
8x - 4x = -10 + 14
4x = 4
Divide both sides by 4
4x/4 = 4/4
x = 1
Since, the length is x - 5 units
Length = 1 - 5
Length = - 4units
Length = 4 units
Width = 1 unit
Area = length x width
Area = 4 x 1
Area = 4 square units
Question 5 of 10
What is the slope of the line that contains the points (-2, 7) and (2, 3)?
O A. -1
OB. -4
OC. 4
OD. 1
Answers
Answer: A. -1
Step-by-step explanation:
Δy / Δx
=3 - 7 / 2 --2
=-4 / 4
=-1
Two angles are supplementary. The measure of one angle is x and the measure of the other angle is 4x, find the value of xa. 36b.18c.4d.5
Answers
we know that
If two angles are supplementary, then their sum is equal to 180 degrees
so
In this problem
x+4x=180
solve for x
5x=180
x=36
therefore
the answer is the option A
Part 2