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If function f(x) = √(x + 1) - 5 is translated three (3) units to the right and two (2) units up, the equation which represents g(x) is: D. f(x) = √(x - 2) - 3
What is a translation?In Mathematics, the translation of a geometric figure to the right simply means adding a digit to the value on the x-coordinate (x-axis) of the pre-image while translating a geometric figure down simply means subtracting a digit from the value on the y-coordinate (y-axis) of the pre-image.
Translating f(x) = √(x + 1) - 5 three (3) units to the right and two (2) units up, we have:
f(x) = √(x + 1) - 5
f(x) = √(x + 1 - 3) - 5 + 2
f(x) = √(x - 2) - 3
In Geometry, g(x - 3) simply means shifting a graph three (3) units to the right while adding two (2) to the function simply means moving the graph up.
In this context, we can reasonably infer and logically deduce that the parent function f(x) was shifted 3 units to the right and 2 units up.
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Related Questions
PLS HELP !!!!! WILL GIVE BRAINLIEST!!
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Answer:
ADB
Step-by-step explanation:
They are the same.
I need Geometry help
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We have the points A(-2, 5) and B(12, 0).
And we must find the coordinates of the point P on directed line segment AB that partitions AB in the ratio of 4 to 1.
To find the coordinates we must use the next equations
Where (x1, y1) and (x2, y2) are the given points and a:b is the given ratio.
- x-coordinate
[tex]\begin{gathered} -2+\frac{4}{4+1}(12-(-2)) \\ =-2+\frac{56}{5} \\ =\frac{46}{5} \end{gathered}[/tex]- y-coordinate
[tex]\begin{gathered} 5+\frac{4}{4+1}(0-5) \\ =5+\frac{-20}{5} \\ =1 \end{gathered}[/tex]Finally, the point P is
[tex]P(\frac{46}{5},1)[/tex]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?
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Answer:
Nike=RM106.15
Reeboks=RM47.95
Question 16 of 22What is the product of (2x+3x - 1) and (3x+5)?A. 6x3 +19x2 +12x-5B. 6x3 + 10x2 +15x-5C. 6x3 +9x? - 3x-5D. 6x3 +19x2 - 12x+5
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Given: (2x+3x - 1) and (3x+5)
The product of them will be as follows:
[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.
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4.5 to 6.5 oz
Solve the literal equation to isolate V2
P1V1=P2V2
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Answer:
Step-by-step explanation:
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
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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.
PLEASE HELP ASAP Rich needs $50,000 for a down payment on a home in 5 years. How much must he deposit into an account that pays 1.16% interest, compounded quarterly, in order to meet his goal?
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Answer:
37,123.52
Step-by-step explanation:
I hope this helps! c:
Answer:
37 ,123.52
Step-by-step explanation:
What is the relationship between Za and Zb?BCbYXDChoose 1 answer:Vertical anglesComplementary anglesSupplementary anglesNone of the above
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Relationship between
are not vertical angles because vertical angles are opposite by vertex
are not complementary because they dont sum 90°
are not suplementary because they dont sum 180
then right option is none of the above
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.
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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]Compute the following probabilities. What is the probability that a randomly selected person recieved a flu vaccination 117/194
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The probability a random selected person will receive a flu is 0.6031
What is Probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.
To solve this problem, we just simply need to just find the decimal value of the given fraction.
[tex]\frac{117}{194} = 0.6031[/tex]
The probability of the event occurring is 0.6031
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complete question
Compute the following probabilities. What is the probability that a randomly selected person received a flu vaccination 117/194. Write the probability value in decimal.
if the sales tax rate is 6.25% in your city, find the final cost of the item diamond ring : $655.75discount rate: 40%
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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 = $278.69Question 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
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Answer: A. -1
Step-by-step explanation:
Δy / Δx
=3 - 7 / 2 --2
=-4 / 4
=-1
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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What is the H.c.f of 16 and 30
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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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Which ratio is less than 7/15?9/152/53/524/45
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SOLUTION:
Case:
Given:
Required:
Method:
Final answer:
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](11^9) over (15^6) to the 4th power
A 11^6 + 4/15^6 +4
B 11^36/15^24
C 11^9x4/15^6x4
D 11/13/15^10
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The expression 11⁹ / 15⁶ to the fourth power is equivalent to 11³⁶ / 15²⁴
How to solve an equationAn equation shows the relationship between two or more numbers and variables.
Giving the exponents:
11⁹ / 15⁶ to the fourth power
Representing this equation in exponent form:
(11⁹ / 15⁶)⁴
Applying the law of exponents:
(11⁹)⁴ / (15⁶)⁴
= 11³⁶ / 15²⁴
The equation (11⁹ / 15⁶)⁴ gives 11³⁶ / 15²⁴
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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
20 points!!! A Local hamburger shop sold a combined total of 488 hamburgers and cheeseburgers on saturday. There were 62 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on saturday?
Answers
Answer:
182
Step-by-step explanation:
488 ÷ 2 = 244
244 + 62 = 306
488 - 306= 182
A sample of people who recently hired an attorney yielded the following information about their attorneys.
Number of People
Would You Recommend Your Attorney to a Friend?
Yes
No
Not sure
Three people who provided information for the table were selected at random. Determine the probability that the first two would not recommend their attorney and the third is not sure if he or she would recommend their attorney.
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I need help on B and an explanation. Approximate bearinge angle
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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
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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)
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 :)
find the volume of the figure below. as you can see my teacher has already gaved the answer now she wants me to show how she got the answer.
Answers
The volume of any solid is the product of the base area and the height
[tex]V=b\mathrm{}A\times h[/tex]Let us find the area of the base of the given figure and multiply it by the height
The base is a right triangle of legs 9 mm and 26 mm, then its area is
[tex]\begin{gathered} b\mathrm{}A=\frac{1}{2}\times9\times26 \\ b\mathrm{}A=177mm^2 \end{gathered}[/tex]The height of the solid is 24 mm, then
[tex]\begin{gathered} V=177\times24 \\ V=2808mm^3 \end{gathered}[/tex]The volume of the figure is 2808 cubic mm
Answer C
sal's orange stand made that show a relationship between the total number of oranges and the number of boxes they sell. Each box has the same number of oranges. Sal made an error in one of the boxes.
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Determine the number of oranges in every box.
For row number 1:
[tex]\frac{13}{2}=6.5[/tex]For row number 2:
[tex]\frac{65}{5}=13[/tex]For row number 3:
[tex]\frac{91}{7}=13[/tex]For row number 4:
[tex]\frac{130}{10}=13[/tex]For row number 5:
[tex]\frac{156}{12}=13[/tex]Since number of oranges in one box in every row except (Row number 1) is 13. In row number 1, number of oranges in one box is 6.5. So Sal's error is in row number 1.
Answer A: Row number 1
PART B:
As number of orange in one box in every row (Except row 1) is 13. So every box in row number 1, must contain 13 oranges. There are 2 boxes in row number 1.
Determine the number of oranges in row number 1.
[tex]\begin{gathered} N=13\cdot2 \\ =26 \end{gathered}[/tex]So correct number of oranges in row number 1 is 26.
Answer B: 26.
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
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
The bottom number. I need written in a way where there is no number above the square root symbol. (The number 4 that’s a live the square root symbol) I need it like simplified to where there is no number above the square root symbol
Answers
1) Let's rewrite that radical, in a way that we can eliminate the fourth root:
[tex]18\sqrt[4]{5}\Rightarrow(18\sqrt[4]{5})^8=18^8\cdot(\sqrt[4]{5})^8=18^8\text{ }\sqrt[]{25}[/tex]2) This way we can get rid of the fourth root by raising to the power (in this case 8) as the index of the root (4).
3) Hence, one possible way to rewrite it with no root is
[tex](18\sqrt[4]{5})^8=18^8\sqrt[]{25}[/tex]identifica a que propiedad pertenece 9 a -3 potencia
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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: