Answers
Answer:
h(x) = f(x + 12) - 4Step-by-step explanation:
According to the graph, the function h(x) is the translation of the function f(x) to the right and down.
Compare the coordinates of the vertices to write the formula
(- 6, 11) → (6, 7)x = 6 - (-6) = 12y = 7 - 11 = - 4The formula is
h(x) = f(x + 12) - 4Answer:
h(x) = f(x - 12) - 4
Step-by-step explanation:
The vertex is the turning point (stationary point or minima/maxima) of the graph.
To find the series of translations that transform the graph of y = f(x) onto y = h(x), compare the vertices of both graphs.
Vertices of given functions:
Vertex of f(x) = (-6, 11)Vertex of h(x) = (6, 7)Differences
x-values: 6 - (-6) = 12y-values: 7 - 11 = -4Therefore, y = f(x) has been:
translated 12 units righttranslated 4 units downTranslations
For a > 0
[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]
[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]
[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]
[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]
Therefore:
f(x) translated 12 units right = f(x - 12)f(x - 12) translated 4 units down = f(x - 12) - 4So the formula for h(x) in terms of f(x) is:
h(x) = f(x - 12) - 4
Learn more about transformations here:
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Related Questions
Fistan is comparing two number pattern
the information below.
• Both patterns start with the number 1.
• Pattern A follows the rule “add 3”.
• Pattern B follows the rule “add 4".
ow do each of the first 5 terms in Pattern A
mpare to the first 5 terms in Pattern B? As
et of your answer, list the first 5 terms of each
tern.
Answers
Answer:
See below.
Step-by-step explanation:
Each term increases by 3 for A and 4 for B. Either do this calculation manually on a table, or use a spreadsheet to calculate all terms quickly.
The ten first terms for A and B are shown.
A B Difference
1 1 1 0
2 4 5 1
3 7 9 2
4 10 13 3
5 13 17 4
6 16 21 5
7 19 25 6
8 22 29 7
9 25 33 8
10 28 37 9
We can see that the difference between the two patterns is that B increases more rapidly until there is a difference of 9 by the 10th term.
n= 4/5 (m+7)
help please (solve for m)
Answers
Answer: Its not possible.
Step-by-step explanation:There aer two vairables. Whats the value of N
Hey there!
n = 4/5(m + 7)
n = 4/5(1m + 7)
n = 4/5(1m) + 4/5(7)
n = 4/5m + 28/5
n = 4/5m + 5.6
Thus, your answer is probably:
n = 4/5m + 5.6 or n = 4/5m + 28/5
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
-4. A car traveled 36 miles in 45 minutes. The car traveled at a constant speed. If the car
continues to travel at this rate, which equation can be used to determine y, the total
number of miles the car will travel, in x hours?
(2017)
A. y=48x
B. y=x+48
C. 48y = x
D. 48+y=x
Answers
Answer:
A. Is the answer
I'm correct right?
b) The cheerleaders and the football team
sold 480 raffle tickets to raise money for
the cheerleader uniforms. The football
team members sold twice as many tickets
as the cheerleaders. How many tickets
were sold by the football team members?
Answers
Answer:
320
Step-by-step explanation:
cheerleaders =1
football team members=2
2+1=3
football team members= 480 ×2/3
=320
Demarcus has to wrap a gift for his friend's birthday party. the gift is in a rectangular box with the dimensions shown below. he's trying to figure out how much gift wrap he needs to cover the entire box. should he calculate the total surface area or the lateral surface area? pick the right measurement and then calculate it for him.
Answers
Amount of gift wrap to cover the entire box = total surface area of rectangular box = 1,048 in.².
What is the Total Surface Area of a Rectangular Box?The total surface area of a rectangular box is the area of all the faces of the box = 2(wl + hl + hw).
Therefore, to find the material that will cover the whole rectangular box, Demarcus should find its total surface area, given the following dimensions:
l = 20 in.w = 8 in.h = 13 in.Plug in the values into TSA = 2(wl + hl + hw):
Total surface area of rectangular box = 2(8×20 + 13×20 + 13×8) = 1,048 in.²
Learn more about total surface area of rectangular box on:
https://brainly.com/question/24448247
The ceiling of Katie’s living room is a square that is 15 ft long on each side. To decorate for a party, she plans to hang crepe paper around the perimeter of the ceiling and then from each corner to the opposite corner. Katie can buy rolls that each contain 20 ft of crepe paper. What is the minimum number of rolls she should buy? Show your work.
Answers
Answer: 6
Step-by-step explanation:
The length of all sides of the square ceiling is 15 ft
Perimeter of the ceiling = 4 * length of each side = 15 * 4 = 60 ft
Distance from one corner to another corner i.e. BD and AC (in the figure below) forms the diagonals of the square ceiling
We know that,
Diagonal of a square = √(2) * a , where a is the length of the side of the square.
Therefore,
BD = AC = 15 √(2)
Thus,
Total crepe paper required = Perimeter of the ceiling + BD + AC = 60 + 15 √(2) + 12 √(2) = 102.43 ft
Crepe paper in each roll = 20 ft
Therefore,
Number of rolls required = 102.43 / 20 = 5.1215
Therefore, the minimum number of rolls she should buy is 6
Factor x +3.0 - 10. Is this a special product? Justify your answer. If it is, which one is it?
.
Answers
Answer:(x+5)(x-2) I Dont know what a special product is sry
Step-by-step explanation:
PSSA pleas
neeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeed yall help im black
Answers
In the 3.4 column place 1 dot
In the 3.5 column place 2 dots
In the 3.7 column place 1 dot
In the 3.8 column place 4 dots
And in the 4.0 column place 3 dots
Find X and y in the triangle.
Answers
Answer:
Step-by-step explanation:
** PLS HELP GIVING BRAINLIEST* Problem 3.1
Alma makes 5 cups of her favorite shade of purple
paint by mixing 3 cups of blue paint, 1 1/2 cups of red
paint, and 1/2
cup of white paint.
Alma has 2 cups of white paint.
Assuming she has enough red paint and blue paint,
how much purple paint can Alma make?
Answers
Answer:
pretty sure the answer is 8 1/2 cups
Step-by-step explanation:
Coach Fraser will select a captain and a co-captain from the students in her physical education class. If there are 22 students from which to
select, how many different outcomes are possible?
a. 484
b. 462
c. 44
d. 22
Answers
it can be shown as 22*2=44 outcomes
Hey, can someone help me out with this? I don't understand how to solve it.
Answers
Answer:
261.05
Step-by-step explanation:
A=½ bh
The base is 22.7
The height is 23
22.7×23=522.1
Since the shape is a triangle we divide it by 2!!
522.1÷2=261.05
The perimeter of the figure is 261.05. Hope you understand how to solve it now :))
567.3
What is the value of the digit 5 in this number?
Answers
Answer:
hundredth place
Step-by-step explanation:
because ummmm yeah
45% of the children in a school have a dog, 30% have a cat, and 18% have a dog and a cat. What percent of those who have a dog also have a cat
Answers
The percentage of the children that have dog or cat is = 57%
Calculation of percentage of childrenThe percentage of children that have a dog = 45%
The percentage of children that have a cat = 30%
The percentage of children that have dog and cat= 18%
Therefore the percentage of children that have dog or cat = (45 + 30) - 18
= 75 - 18
= 57%
Therefore, the percentage of the children that have dog or cat is = 57%
Learn more about percentage here:
https://brainly.com/question/24304697
help pls with these two about surface area
Answers
Answer:
6) 152.6
7) 348.4
Step-by-step explanation:
For question number 6, calculate the surface area of the two triangles first. And then, calculate each of the surface area for the rectangles. Finally, total up the area of the two triangles and the rectangles.
[tex](6.6 \times 9) + (4 \times 9) + (5.2 \times 9) \times (\frac{1}{2} \times 5.2 \times 4) = 152.6[/tex]
For question number 7, given that the area of a triangle is 28.4. Hence calculate the area of the three rectangles. Lastly, total up the area of two triangles and three rectangles.
[tex]28.4 + 28.4 + 3(12 \times 8.1) = 348.4[/tex]
Hope this helps =)
2-root3/root3. Rationalize the following equation
Answers
Answer:
-1/3
Step-by-step explanation:
Multiply by root 3 on the top and bottom. Root 3 times root 3 is 3. 2-3 is -1.
100 POINTS! PLEASE ANSWER!!! WILL MARK BRAILIEST!! THANKS! (show work if you can)
Answers
Answer:
5.7594087
Step-by-step explanation:
0.03x8888^14
A store sells t-shirts and pants combinations for $50. If the pants cost $10 more
than the t-shirts, find the cost of each.
( help me please)
Answers
Answer:
the shirt should be $20 and the pants $30
6 diviided by 27 and 7 divided by 50
Answers
Answer:
the first one is 0.2222222222... the second is 0.14
6 : 27
Fraction : [tex]\frac{6}{27} = \frac{2}{9}[/tex]
Decimals : 0.(2) = 0.222222222222....
Percentage : 22.2222...%
7 : 50
Fraction : [tex]\frac{7}{50}[/tex]
Decimals : 0.14
Percentage : 14%
[tex]\frac{\frac{1}{x}+ \frac{2}{x^{2} } }{x+\frac{8}{x^{2} } }[/tex]
Answers
Answer:
[tex] \frac{x + 2}{x {}^{3} + 8} [/tex]
Step-by-step explanation:
[tex] \frac{ \frac{1}{x} + \frac{2}{x {}^{2} } }{x + \frac{8}{x {}^{2} } } [/tex]
[tex] \frac{ \frac{x + 2}{x {}^{2} } }{ \frac{x {}^{3} + 8 }{x {}^{2} } } [/tex]
[tex] \frac{x + 2}{x {}^{3} + 8 } [/tex]
Use the Pythagorean Theorem to determine if a triangle with side lengths √2 ft., √3 ft., √5ft. is a right triangle.
A:) Yes it is a right triangle
B:) No it is not a right triangle
Answers
Answer:
A:) Yes it is a right triangle
Step-by-step explanation:
[tex]~~~~\left(\sqrt{5} \right)^2= \left(\sqrt{2} \right)^2+\left(\sqrt{3} \right)^2\\\\\implies 5=2+3\\\\\implies 5=5[/tex]
Answer:
A
Step-by-step explanation:
using the converse of Pythagoras' identity
If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.
longest side = [tex]\sqrt{5}[/tex] , and ([tex]\sqrt{5}[/tex] )² = 5
([tex]\sqrt{2}[/tex] )² + ([tex]\sqrt{3}[/tex] )² = 2 + 3 = 5
Thus the 3 sides form a triangle
helpppppppppppppppppppppppppppppppppp pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
.... thank you <3
Answers
Answer:
39.9
Step-by-step explanation:
Pls give brainlest if correct.
*Answer*:39.9
Reasoning:Say you wanted to round the number 838.274. Depending on which place value you'll round to, the final result will vary. Rounding 838.274: Rounding to the nearest hundred is 800 Rounding to the nearest ten is 840 Rounding to the nearest one is 838 Rounding to the nearest tenth is 838.3 Rounding to the nearest hundredth is 838.27
**Helping to solve**:When you "round to the nearest _____" regardless of what goes in the blank the steps are nearly always the same: Identify which place value you are rounding to. The smaller the place value, the more accurate the final result will be. Look to the next smallest place value, the digit to the right of the place value you're rounding to.
Therefore, the answer is C. 39.9
This has been..~NatLikesAnime
#LearningWithBrainly
Please give brainliest, a thanks, and a 5 start rating if helpful :)
What’s the radius of center (-2,1) and contains the point (2,-1)
Answers
To find the radius of a circle when we're given the coordinates of its center and a point it contains, we can use the following formula for distance:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
[tex](x_1,y_1)[/tex] is one point and [tex](x_2,y_2)[/tex] is anotherSolving the QuestionWe're given:
Center: (-2,1)Point: (2,-1)Plug these given points into the formula for distance:
[tex]d=\sqrt{(2-(-2))^2+(-1-1)^2}\\d=\sqrt{(2+2)^2+(-1-1)^2}\\d=\sqrt{(4)^2+(-2)^2}\\d=\sqrt{16+4}\\d=\sqrt{20}\\d\approx4.47[/tex]
AnswerTherefore, the radius of the circle is [tex]\sqrt{20}[/tex] units, or approximately 4.47 units.
Can someone help me with this I have a few hours before I have to turn this in anything is appreciated
Answers
1. 78.5398163397 cm^2
2. 201.06192983 cm^2
3. 38.4845100065 ft^2
4. 176.714586764 m^2
5. 1963.49540849 in^2
Explanation:
The formula for the area of a semicircle is πr^2/2 where r is the radius.
Please mark brainliest
Elizabeth’s credit card computes her finance charges using the previous balance method and a 30-day billing cycle. the table below shows elizabeth’s credit card transactions in july. date amount ($) transaction 7/1 969.26 beginning balance 7/3 45.00 payment 7/10 67.48 purchase 7/12 20.00 payment 7/28 85.00 payment if elizabeth has an apr of 14.61%, how much will her july finance charge be? a. $9.97 b. $12.62 c. $11.80 d. $10.80
Answers
Answer:
11.80
Step-by-step explanation:
The $11.80 will be her July finance charge option (c) is correct.
It is given that Elizabeth’s credit card computes her finance charges using the previous balance method and a 30-day billing cycle.
It is required to find the July finance charge.
What is APR?It is defined as the annual percentage rate that represents the yearly interest rate on the borrowing.
We have a principal amount = $969.26
APR = 14.61 %
Per month percent rate = [tex]\frac{14.61}{12}[/tex] ⇒ 1.2175 %
We can calculate the finance charge from the given formula:
Finance charge = Principal value×rate×Time
= 969.29×1.2175%×1
[tex]= 969.29\times\frac{1.2175}{100}\times1[/tex]
= $11.80
Thus, the $11.80 will be her July finance charge.
Learn more about the finance charge here:
https://brainly.com/question/2588555
anyone know the answer?
Answers
Z: (0,1)
E: (-2,-2)
J:(0,-4)
The table below shows a student's quiz scores on six quizzes.
Answers
median is 16 ducky quack
Answer:
16
Step-by-step explanation:
Median, also known as the "middle" value in a data set. To be able to find the median, your data needs to be in numerical order.
Quiz scores:
9, 13, 20, 15, 18, 17
Arrange in numerical order:
9, 13, 15, 17, 18, 20
Find the "middle" value:
9, 13, 15, 17, 18, 20
When there are two middle values, you add them up and divide it by 2.
15 + 17 = 32
32/2 = 16
Therefore, the median, "middle" value of this student's quizzes is 16.
Hope this helps!
An angle measures 62.4° more than the measure of its supplementary angle. What is the measure of each angle?
Answers
Answer:
Step-by-step explanation:
If an angle measures x degrees, the measure of its supplement is (180-x) degrees.
This means that x-62.4 = 180-x, meaning that x=121.2.
So, the angles are 121.2 and 58.8 degrees.
a circular clock face has a diameter of 7 inches how many inches does the tip of the minute hand travel in a day
Answers
Answer:
14π inches
Step-by-step explanation:
Diameter of the clock = 7 × π = 7π
one day = 24 hours which means
2 clockwise turns around the clock
sooo 7π × 2 = 14π
Answer:
527.52 in
Step-by-step explanation:
To answer this question you have to find the circumference of the circle.
You have to use the formula below to find the circumference.
C = π d
Here,
d ⇒ diameter ⇒ 7 in
Let us solve it now.
C = π × d
C = 3.14 × 7
C = 21.98 in
So, the tip of the minute hand is traveling 21.98 in an hour.But they're asked for the distance traveled by the tip of the minute in a day.So, to find that we have to multiply the answer by 24 hours.Let us find it now.
Distance traveled in a day = 21.98 × 24
= 527.52 in
Please answer number 7 thank you.
Answers
Answer:
3 is most likely
Step-by-step explanation: