Answers
Answer:
A(-3,0)
B(6,1)
C(15,0)
Step-by-step explanation:
To find the three new coordinates A,B,C we have to find out the equation of the original curve y=f(x) which is shown in the figure. We find that equation by using the turning point (2,1) which is point B and take any other point either A or C which intercept's the x-axis, i took C. We put both these points into the completing square formula of the curve.
[tex]y=a(x-h)^2+k[/tex]
where (h,k) are the turning points (2,1) respectively and C (5,0) corresponds to (x,y)
so the equations becomes
[tex]0=a(5-2)^2+1\\0=a(3)^2+1\\0=9a+1\\-1=9a\\a=\frac{-1}{9}[/tex]
So our equation y=f(x) becomes
[tex]y=-\frac{(x-2)^2}{9}+1[/tex]
now for
[tex]y=f(\frac{x}{3} )[/tex]
we replace the x in the original equation above with x/3 which changes the equation to
[tex]f(\frac{x}{3} )=-\frac{(\frac{x}{3}-2)^2}{9} +1[/tex]
and now we sketch the curve we have our hints for the new points A,B,C our hint is that the original points A and C are the x-intercepts so the new A and C lets name them A' and C' must be the x-intercepts as well and B is the turning point of y=f(x) so the new point B' must be the turning point of y=f(x/3)
so we simply sketch the curve y=f(x/3) use an online graph plotter if you know how to sketch it to save time or if you don't know you can ask me and i'll teach you cause learning to sketch isn't in the question so furthermore we sketch the curve i attached the figure in an image you check it out and the new points as well.
Related Questions
Is -90 a integers please help me
Answers
Answer:
Yes
Step-by-step explanation:
Any number that's a WHOLE NUMBER like 1, 2, 3, -1, -2, -3 etc. is an integer! (including negative numbers as listed.) However any fractions or decimals are NOT integers.
Hope this helps and have a nice day!
anyone know this !! I'll brainlist u
Answers
Answer:
Step-by-step explanation:
Number of days = y
Number of weeks = x
1 week = 7days
Formula = 7x = y
13 weeks = 7(13) = 91 days
29 weeks = 7(29) = 203 days
7.5 weeks = 7(7.5) = 52.5 days
The best approximation for sqrt 10 is
25 3.1 5 10”
Answers
Answer:
3.1
Step-by-step explanation:
find the median value of 1,1,1,2,2,2,2,3,3,4,4,5
Answers
In this case it would be 2+2=4 ÷2= 2
Two is the median
I NEED HELP ASAP!!!!!!! WHAT IS 8 3/5x 2 5/8?
Answers
Answer: 22.575
If you round up, it is 22.6.
I hope you get a 100! Best of luck!!!
find the next two numbers in the pattern -2,20,-200,2000
Answers
Help.. I’ll give the crown thing to whoever can find me the simplest radical form of this
Answers
Answer:
√x
Step-by-step explanation:
The given expression
1/x^-3/6
Can be written as
1/x^-1/2
Use the negative exponent rule
1/x^n = x^n
Using the rule from above above
1 * x^-1/2
1 * √x =
√x
what is the product for 1.7+-3.2
Answers
Answer:
-1.5
Step-by-step explanation:
do you not have a calculator???
Answer:-1.5
Step-by-step explanation:
1.7 + -3.2 = -(3.2-1.7)= -1.5
The perimeter of a rectangle is 48 centimeters. The relationship between the length, the width, and the perimeter of the rectangle can be described with the equation Find the length, in centimeters, if the width is 3.6 centimeters
Answers
Step-by-step explanation:
let the unknown be x
length = x
width = 3.6 cm
Perimeter = 2 lengths + 2 widths
48 cm = x + x + 3.6 + 3.6
48 cm = 2x + 7.2
40.8 = 2x
20.4 cm = x
if you wanna check,
perimeter = 20.4 + 20.4 + 3.6 + 3.6
48 cm = 48
Using the relationship between the dimension of a rectangle and its perimeter, given its perimeter and width, the length is: 20.4 cm.
Recall:
Perimeter of a rectangle (P) = 2(L + W) (relationship between the width, length and perimeter)
Given:
Width (W) = 3.6 cmPerimeter (P) = 48 cmLength (L) = ?Using the relationship between the dimension of a rectangle and its perimeter, the following equation would be derived:
48 = 2(L + 3.6)
Solve for the value of L48 = 2L + 7.2
Subtract 7.2 from each side48 - 7.2 = 2L
40.8 = 2L
Divide both sides by 220.4 = L
L = 20.4 cm
Therefore, using the relationship between the dimension of a rectangle and its perimeter, given its perimeter and width, the length is: 20.4 cm.
Learn more here:
https://brainly.com/question/18869010
f(x)= 1/x, vertically stretched by a factor of 7, reflected in the y-axis, translated 5 units to the right, and translated 3 units downward.
Answers
Answer:
-7/(x-5) - 3
Step-by-step explanation:
First off, to reflect an equation in the y axis, just multiply by -1. Now that it is reflected, to stretch an equation by a factor of 7, multiply it by 7. Now we have -7/x.
Then, to move an equation down by 3 units, simply subtract it by 3. Now we have -7/x - 3.
Lastly, since you want to translate it 5 units to the left, you want the equation to be undefined at x = 5 (because originally it is undefined at x = 0). To do that, set the denominator to x - 5. We arrive at our answer: -7/(x-5) - 3.
Using translation concepts, it is found that the new definition for the function is:
[tex]g(x) = -\frac{7}{x - 5} - 3[/tex]
----------------------------
The parent function is:
[tex]f(x) = \frac{1}{x}[/tex]
A vertical stretch by a factor of a means that the function is multiplied by a.Factor of 7, thus:[tex]g(x) = 7 \times \frac{1}{x} = \frac{7}{x}[/tex]
Reflection over the y-axis means that we have g(-x), thus:[tex]g(-x) = \frac{7}{-x} = -\frac{7}{x}[/tex]
Translating a units to the right is g(x - a), 5 units, thus:[tex]g(x) = -\frac{7}{x - 5}[/tex]
a units downward means that a is subtracted from the function, 3 units, thus:[tex]g(x) = -\frac{7}{x - 5} - 3[/tex]
A similar problem is given at https://brainly.com/question/19383602
Yuri read 17 books.
Hiro read 5 books.
How many more books did Yuri read than Hiro?
books
help pls quick
Answers
Answer:
Yuri read 12 more books than Hiro.
Step-by-step explanation:
17-5=12
10y=10y
what is the property of equality
Answers
Answer: Reflexive property of equality
This property says that any expression is equal to itself.
The reflexive property of congruence is a similar property, but it deals with congruences.
Answer:
The property will equal itself
Step-by-step explanation:
I need help on 1 and 2, please :)
Answers
Answer:
you cute no cap
Step-by-step explanation:
A waiter earned a 3% tip. What decimal is equivalent to 3%
Answers
Answer:
0.03
Step-by-step explanation:
1 would be 100% so 0.03 would = 3
Help, please!
Explain how to multiply two numbers with different signs.
(This is not a multiple-choice question)
Answers
Answer:
multiply the magnitudes of the numbers; affix a negative sign.
Step-by-step explanation:
The product of a positive number and a negative number is the negative of the product of their numerical values.
For example, ...
(2)(-3) = -(2×3) = -6
(-2)(3) = -(2×3) = -6
Answer:
Whenever you multiply two numbers with different signs, the answer is always NEGATIVE.
If p(x)=(3x+2)(2x−3), what are the zeros of the polynomial?
x=-23 and x=32
x=23 and x=-32
x=-2 and x=3
x=2 and x=-3
Answers
Answer:
Option A is the correct answer. ; x=-2/3 and x=3/2
Step-by-step explanation:
We have been given that p(x)=(3x+2)(2x−3) is a polynomial.
According to the question's statement, Question asks us to find the zeros of the polynomial.
Let's head to the question in order to get required answer.
p(x)=(3x+2)(2x−3)
=> p(x) = 3x(2x-3) + 2(2x-3)
=> p(x) = 6x² - 9x + 4x - 6
=> p(x) = 6x² - 5x - 6 (This is the standard form for the given polynomial)
Now, We need to find the zeros of the polynomial. So, In order to find its zeros, we need to put p(x).
p(x) = (3x+2)(2x-3)
=> 0 = (3x+2)(2x-3)
=> (3x+2) = 0 or (2x-3) = 0
=> x= -2/3 or x = 3/2
Hence, If p(x)=(3x+2)(2x−3), x = -2/3 & x= 3/2 are the zeros of the polynomial.
what is 3.50 divied by 12
Answers
Answer:
0.29
Step-by-step explanation:
» How many millimeters are in 9.4 centimeters?
Answers
Answer:
9.4 centimeters = 94 millimeters
HELP PLEASE!!! I dont get this and its due in 5 minutes
If y varies directly with x and y=−54 when x=−20, then which equation best represents this proportional relationship?
1. ) y = 0.37x
2.) y = 2.7x
3.) y = -0.37x
4.) y = -2.7x
Answers
4 x (22+5)
Simplify the expression.
Answers
Answer:
the simplified expression is 108x
Step-by-step explanation:
4x(22+5)
you can remove the parenthesis by multiplying 4x by everything inside of them.
4x * 22 + 4x * 5
88x + 20x
108x
Study the model to answer the question.
Two area models. The first model has 4 shaded parts. The second model has 3 shaded parts and 1 unshaded part.
Which division problem does the model represent?
StartFraction 7 Over 4 EndFraction divided by one-half = 3 and one-half
StartFraction 7 Over 4 EndFraction divided by one-third = 3 and one-half
StartFraction 7 Over 4 EndFraction divided by two-thirds = 3 and one-half
StartFraction 7 Over 4 EndFraction divided by 3 = 3 and one-half
Answers
Answer:
A 7/4÷1/2=31/2
Step-by-step explanation:
Answer:
7/4÷1/2=31/2
Step-by-step explanation:
i got it correct
If the shoes cost $25 and he spent $78.85 before tax, how
much do each pair of shorts cost?
Answers
Answer:
The shorts cost $53.85
Step-by-step explanation:
The shoes cost $25, and so if he paid $78.85, then the shorts are $53.85.
WHATS THE PERIMITER PLS HELP ME
Answers
Explain! Reward! Thank you!
Answers
Answer:
I think it would be 30 seconds
Write the given number in standard notation 7.8 x 10^6
Answers
Answer:
7,800,000
Step-by-step explanation:
2 (3х + 5) = 22
Step by step please
Answers
Answer:
x = 2
Step-by-step explanation:
2(3х + 5) = 22
Divide both sides by 2.
3x + 5 = 11
Subtract 5 from both sides.
3x = 6
Divide both sides by 3.
x = 2
1. 6x+10=22
2. 6x=12
3. X=6
if x=4 and y=1 then what is 3x + y + 2x squared minus 3 + y
Answers
Answer:
I think it is 73
Answer: 439
Step-by-step explanation:
Find the sum or difference for questions 1-3.
10.88 + 98.3 – 10.88
A. 109.18
B. 10.88
C. 87.42
D. 98.3
Answers
Answer:
D. 98.3
Step-by-step explanation:
10.88 - 10.88 would be 0 lol so 98.3 is left
Hope this helps dude ^-^
First, add 10.88 and 98.3
10.88
98.3
———
109.18
Then subtract 10.88 from 109.18
109.18
10.88
———-
98.3
Hope this helps
PLEASE HELP MEH I NEED THIS HELP PLSSSSSSSSSSSSS
Answers
Answer:
I would say A but I'm not sure
Step-by-step explanation:
Sry if I' m wrong <3
Answer:
Step-by-step explanation:
The lease value is D
-√(16) = -4 is the least
What is equivalent to 5x+2y=12
Answers
Answer:
A
Step-by-step explanation:
