The functions are illustrations of function transformations
The transformation from f(x) to g(x) is reflecting across the y-axis, and then shifting 2 units up
How to determine the transformationsThe equation of the function is given as:
[tex]g(x) = 2 - x[/tex]
The parent function of the above equation is:
[tex]f(x) = x[/tex]
First, the function f(x) is reflected across the y-axis to give
[tex]f(-x) = -x[/tex]
Next, the function is shifted 2 units up.
So, we have:
[tex]f(-x) + 2 = -x + 2[/tex]
Rewrite as:
[tex]f(-x) + 2 = 2-x[/tex]
Express f(-x) + 2 as g(x).
So, we have:
[tex]g(x) = 2-x[/tex]
Hence, the transformation from f(x) to g(x) is reflecting across the y-axis, and then shifting 2 units up
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10. WEATHER On average, the circular eye of a hurricane is about 15 miles in diameter. Gale winds can affect an area up to 300 miles from the storm's center. A satellite photo of a hurricane's landfall showed the center of its eye on one coordinate system could be approximated by the point (80, 26).
a. Write an equation to represent a possible boundary of the hurricane's eye.
b. Write an equation to represent a possible boundary of the area affected by gale winds.
The equation to represent a possible boundary of the hurricane's eye is (x - 80)² + (y - 26)² = 7.5²
Circle Equation
The standard equation of a circle is given by:
(x - h)² + (y - k)² = r²
Where (h, k) is the center of the circle and r is the radius.
Given that diameter = 15 miles, hence radius = 15/2 = 7.5. Also, center = (80, 26)
The equation of circle is:
(x - 80)² + (y - 26)² = 7.5²
The equation to represent a possible boundary of the hurricane's eye is (x - 80)² + (y - 26)² = 7.5²
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PLS ANSWER PLS PLS PLS
Find the value of x that maximized the volume of the following:
X
5 - 2x
8 - 2x
O x= 5
O x= 10/3
O x= 1
O x= 2.5
Check the picture below.
as you can see, the graph of the volume function comes from below goes up up up, reaches a U-turn then goes down down, U-turns again then back up to infinity.
the maximum is reached at the close up you see in the picture on the right-side.
Why we don't use a higher value from the graph since it's going to infinity?
well, "x" is constrained by the lengths of the box, specifically by the length of the smaller side, namely 5 - 2x, so whatever "x" is, it can't never zero out the smaller side, and that'd happen when x = 2.5, how so? well 5 - 2(2.5) = 0, so "x" whatever value is may be, must be less than 2.5, but more than 0, and within those constraints the maximum you see in the picture is obtained.
identify the type of polygon presented by each of the following figures write your answer on a sheet of paper write regular or irrigular
nonsense report
Answer:
1. irregular 2. irregular 3. regular 4. irregular 5. regular
Step-by-step explanation:
Regular shapes have same angles and sides
Irregular shapes have angles and sides of any amount
Your welcome for the answer, comment if you have any questions! :D
The figures 1 and 4 are irregular polygons while figures 2, 3 and 5 are regular polygons
How to name the figures?A figure or a shape is said to be a regular polygon if the following conditions are true:
The shape has at least 4 sidesAll the sides of the shape are equalUsing the above highlights, the figures 1 and 4 are irregular polygons while figures 2, 3 and 5 are regular polygons
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What is the product?
-1
со то
-5
-32
4
o
20
-36
32
-4
O
-20
Answer:
A
Step-by-step explanation:
Multiply the number by every element of the matrix. Answer: A
The dimensions of a rectangular prism are given in the net shown.
7 inches, 3 inches, 5 inches, 3 inches, 5 inches.
What is the total surface area of the rectangular prism in square inches?
Answer:
142in squared
Step-by-step explanation:
I'm assuming that Length is 7, width is 3 and height is 5.
A=(wl+hl+hw) x2
142=(3x7+5x7x5x3)x2
The total surface area of the rectangular prism for which dimensions are provided in the net shown is 142 square inches.
What is of total surface area of the rectangular prism?The total surface area of the rectangular prism is the space occupied by each of the face of it. It is the sum of area of all the faces of the prism.
Total surface area of the rectangular prism is calculated with the following formula.
[tex]A=2(lb+bh+lh)[/tex]
Here, (b) is the breath of the base (l) is the length and (h) is the height of the rectangular prism.
The dimensions of a rectangular prism are given in the net shown.
[tex]\rm 7 \;inches,\; 3\; inches, \;5\; inches, \;3 \;inches,\; 5 \;inches.[/tex]
The height of the prism is 7 inches, breath is 3 inches and length is 5 inches long. Thus, the total surface area of this rectangular prism is,
[tex]A=2(5\times3+3\times7+5\times7)\\A=2(15+21+35)\\A=2(71)\\A=142\rm\; in^2[/tex]
Thus, the total surface area of the rectangular prism for which dimensions are provided in the net shown is 142 square inches.
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Safara uses these steps to partition segment in a ratio of 9:4.
1. Draw horizontal segment.
2. Count squares and place point to partition segment so that :=9:4.
3. Draw a vertical segment from point to where it intersects segment. Call this point.
Which is the best reason why Safara’s method works?
Pls answer in top right,left, btm right left
Lines can be divided into segments by using the line segment ratios
The reason why the Safara's method works is (d) Triangles ABE and ACD can be proved to be similar
How to determine the reason
The line ratio is given as
Ratio = 9 : 4
When the line is divided by the vertical and the horizontal lines, the segments form similar triangles ACD and ABE (see attachment)
Hence, the reason why the Safara's method works is that:
Triangles ABE and ACD can be proved to be similar
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Sophia pays a 19.99 membership fee for an online music store.
a. if she also buys two songs from a new album at a price of $0.99 each, what is the total cost?
b. if Sophia purchases n songs for 0.99 each, write an expression for the total cost.
c. Sophia's friend has saved $118 but is not sure how many songs. Use the expression in part (b) to write an equation that can be used to determine how many songs Sophia's friend can buy.
d. Using the equation written in part (c), can Sophia's friend buy 101, 100, or 99 songs?
Answer:
(a) 2(0.99) + 19.99 = $21.97
(b) 0.99n + 19.99 = total cost
(c) 0.99n + 19.99 = 118
(d) 99
Find the radius of a circle if a 28 foot chord is 6 feet from the center of the circle. (Must be
perpendicular. ) Find the exact value and then round to the nearest hundredth.
Check the picture below.
Please help with this question and show the working.
Answer:
p = 6 and p = -3
if you have any further question you may about the photo or the work you may ask me.....
3) Which data sets have more than one mode?
1,2,3,4,5,6,7
1,3,3,3,3,5,6
1,2,2,3,4,6,6
1,5,6,6,6,7,8
1,1,1,2,2,2,4
1,2,2,2,2,3,4
Answer:
1,2,2,3,4,6,6 and 1,1,1,2,2,2,4
Step-by-step explanation:
Mode means the number that occurs the most often/frequent. If there are two numbers that occur the same amount of times with the highest frequency, there will be two modes. If all the numbers occur the same amount of times, there will be no mode.
1,2,3,4,5,6,7
Mode: no mode
1,3,3,3,3,5,6
Mode: 3
1,2,2,3,4,6,6
Mode: 2 and 6
1,5,6,6,6,7,8
Mode: 6
1,1,1,2,2,2,4
Mode: 1 and 4
1,2,2,2,2,3,4
Mode: 2
The answer is: 1,2,2,3,4,6,6 and 1,1,1,2,2,2,4
Hope this helps :)
Have a nice day!
Answer:
q
Step-by-step explanation:
lhfcgaosdhvasdouv
4(3x-3)=-2(76/9+5x)
help please.
Answer: x = -2/9
The correct answer is x = -2/9
Step-by-step explanation:
First, you want to distribute:
4(3x - 3) = -2(76/9 + 5x)
12x - 12 = -2(76/9 + 5x)
The you want to rearrange the terms:
12x - 12 = -2(76/9 + 5x)
12x - 12 = -2(5x + 76/9)
Then you want to distribute again:
12x - 12 = -2(5x + 76/9)
12x - 12 = -10x - 152/9
Then solve:
x = -2/9
Final result:
x = -2/9
Hope this helps =)
Answer:
x=-2/9
Step-by-step explanation:
Hope this helps! Pls give brainliest!
Several days of fair weather are probably the result of:.
Answer:
a warm, dry air mass moving over an area.
The area of a rectangular carpet is (10x2 + 3x – 27) square yards. The length of the carpet is (5x + 9) yards. Which of the following represents the width?
The expression that represents the width of the rectangle is: 2x - 3.
What is the Area of a Rectangle?Area of rectangle = length × width
Given:
Area = (10x² + 3x - 27) sq. yards
Length = (5x + 9) yards
Therefore:
Width = Area of rectangle/length
Width = (10x² + 3x - 27)/(5x + 9)
Factorize the numerator
Width = (5x + 9)(2x - 3)/(5x + 9)
Width = 2x - 3
Therefore, the expression that represents the width of the rectangle is: 2x - 3.
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Every month, $60 is withdrawn from Tom's savings account to pay for his gym membership. He has enough savings to withdraw no more than $240. For how many months can Tom pay for his gym membership?
Answer: 9 month
Step-by-step explanation:
1. 35x < 315 = let x be the number of month
2. x < 9 = divide both sides by 35
result. 9 month
A skateboard is on sale for 20% off. The sales tax is 6% what is the final cost of the skate board if it originally costs $85
Answer:
$72.08
Step-by-step explanation:
the discount is $17.00 making the skateboard $68.00
the sales tax of the $68.00 board is $4.08
this makes the total cost of the board $72.08
Find the 9th term of the geometric sequence whose common ratio is 1/3 and whose first term is 2.
Answer:
2/6561
Step-by-step explanation:
Geometric sequence formula : [tex]a_n=a_1(r)^n^-^1[/tex]
where an = nth term, a1 = first term , r = common ratio and n = term position
given ratio : 1/3 , first term : 2 , given this we want to find the 9th term
to do so we simply plug in what we are given into the formula
recall formula : [tex]a_n=a_1(r)^n^-^1[/tex]
define variables : a1 = 2 , r = 1/3 , n = 9
plug in values
a9 = 2(1/3)^(9-1)
subtract exponents
a9 = 2(1/3)^8
evaluate exponent
a9 = 2 (1/6561)
multiply 2 and 1/6561
a9 = 2/6561
Remainder theorem is a subject in ------------
Answer:
Further Mathematics...
Answer:
a theorem in algebra: if f(x) is a polynomial in x then the remainder on dividing f(x) by x − a is f(a)
hope this is right, if so then...
Pls, choose me as brainliest!
what is 38x +59=299x -89
X=148/261
hope this helps
Answer: x 148/261
Step-by-step explanation:
38
Please answer it would mean so much to me :)
Answer:
y = [tex]\frac{1}{3}[/tex] x + 2
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3x + y = 4 ( subtract 3x from both sides )
y = - 3x + 4 ← in slope- intercept form
with slope m = - 3
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-3}[/tex] = [tex]\frac{1}{3}[/tex]
Given c = 2 , then
y = [tex]\frac{1}{3}[/tex] x + 2 ← equation of perpendicular line
SOMEONE PLEASE I NEED HELP Find a polynomial f(x) of degree 4 that has the following zeros. 6, 5, -4, -7 - Leave your answer in factored form.
Answer:
[tex]y=(x-6)(x-5)(x+4)(x+7)[/tex]
Step-by-step explanation:
Formulate the equation of the polynomial function
[tex]y=(x-6)(x-5)(x+4)(x+7)[/tex]
I hope this helps you
:)
The formula is
[tex]\\ \rm\hookrightarrow f(x)=(x-a)(x-b)(x-x)(x-d)[/tex]
[tex]\\ \rm\hookrightarrow [x^2-(a+b)x+ab][x^2-(c+d)x+cd][/tex]
So
[tex]\\ \rm\hookrightarrow [x^2-11x+30][x^2+11x+28][/tex]
What do you understand by the term tax rebate
Answer:
Brainliest pls
Step-by-step explanation:
An assessment discount or duty refund is an installment to the citizen when the citizen pays more expense than they owe.
helppppppppppppppppppppppppppppppppppp meeeeeeeeeeeeeeeeeeeeeeeeeeee pweeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeesssssssssssssssssssssssssssssssssssssssss
Answer: I think
Step-by-step explanation:
If you flip a coin 24 times, how many times would you predict that the coin lands on tails?
Answer: You have 1/2 a chance that the coin would flip on tales. So that means that tails is most likely to land 12 times on tails.
The number of times you would predict that the coin lands on tails is 1/2.
Given that, a coin flip 24 times.
What is the probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favorable outcomes/Total number of outcomes
Here, the total number of outcomes = 24
The number of favorable outcomes = 12
Probability of an event = 12/24
= 1/2
Therefore, the number of times you would predict that the coin lands on tails is 1/2.
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best answer gets brainliest
Answer:
A. I believe I hope its correct I'm sorry if its wrong:( I tried.
you roll a six sided number cube and flip a coin what is the probability of rolling a number greater than 5 and flipping heads?
Answer:
0.08333... or 8.333...%
Step-by-step explanation:
1/6 * 1/2 = 1/12
Answer:
What is a probability?
Step-by-step explanation:
Factor the given expression completely and show your work. 6x^2-5x-21. Check your answer and show that work as well.
PLSS SOLVEEEEE GIVING BRAINILYYYYYYYY!!!!!!!!!
Answer:
(2x + 3)(3x - 7)
Step-by-step explanation:
Factorize 6x² - 5x - 21
Find two numbers which are factors of the product of the coefficient of x² and the constant, and sum to the coefficient of x.
coefficient of x² mulitplied by the constant = 6 x -21 = -126
So we need to find two numbers that multiply together to make -126 and sum to -5.
Factors of -126 that sum to -5: 9 and -14
As 9 x -14 = -126, and 9 - 14 = -5
Rewrite the center term of the quadratic as these numbers, so - 5x becomes 9x - 14x:
⇒ 6x² + 9x - 14x - 21
Factorize each pair of terms, checking that the bracket created is the same:
⇒ 3x(2x + 3) - 7(2x + 3)
The first bracket is the common factor of (2x + 3) and the second bracket is the factorized terms outside of each bracket (3x - 7). So the final factorization is:
(2x + 3)(3x - 7)
The diameter of a circle is 10 3/4 inches. What is the radius, r, of the circle? Enter your answer as a mixed number in simplest form by filling in the boxes. r = $$ in.
Answer:
5 3/8
Step-by-step explanation:
I failed the test
Answer: Hi babies i just finished and got 100%!!!
Step-by-step explanation:
Which line segment is a radius of circle F?
Responses
BE
AC
BF
AB
Which line segment is a diameter of circle L?
Responses
GK
IL
GJ
HL
The radius of circle L is 22 cm.
What is the length of its diameter?
Responses
11 cm
22 cm
44 cm
88 cm
The diameter of a circle is 10 3/4 inches.
What is the radius, r, of the circle?
Enter your answer as a mixed number in simplest form by filling in the boxes.
r = 5 3/8 in.
The length of a radius of a circle, measured in feet, is represented by the expression z + 3.6. The diameter of the circle is 11 4/5 ft.
What is the value of z?
Enter your answer as a decimal or mixed number in simplest form in the box.
z = 2 3/10 or 2.3
Have a good day!!!!
Help please, need it for 1st march
Answer:
The mode is 2.
the volume of cube = l*b*h
= 6*6*6
= 216 cm^3
Create a construction for a perpendicular bisector. Thank you!
The dotted line is the perpendicular bisector.
