Question is incomplete
Answer:
See Explanation
Step-by-step explanation:
Let the cubic function be
[tex]f(x) = (x,y)[/tex]
First transformation: Vertical compression
Let the scale factor be a where [tex]0 < |a| < 1[/tex]
The new function becomes:
[tex]f'(x) = (x,ay)[/tex]
Next: Reflection over y-axis
The rule is: [tex](x,y)=>(-x,y)[/tex]
The new function becomes:
[tex]f"(x) = (-x,ay)[/tex]
Lastly: Shifted up
Let the units up be b
The rule is: [tex](x,y)=>(x,y+b)[/tex]
So, the new function becomes:
[tex]f"'(x) = (-x,ay+b)[/tex]
Using the rules states above, assume the cubic function is:
[tex]f(x) = x^3[/tex]
Vertical compress [tex]f(x) = x^3[/tex] by [tex]\frac{1}{2}[/tex]
[tex]f'(x) = \frac{1}{2}x^3[/tex]
Reflect [tex]f'(x) = \frac{1}{2}x^3[/tex] over y-axis
Rule: [tex]f"(x)= f'(-x)[/tex]
Solving f'(-x)
[tex]f'(x) = \frac{1}{2}x^3[/tex]
[tex]f'(-x) = \frac{1}{2}(-x)^3[/tex]
[tex]f'(-x) = -\frac{1}{2}x^3[/tex]
So:
[tex]f"(x) = -\frac{1}{2}x^3[/tex]
Lastly: Shift [tex]f"(x) = -\frac{1}{2}x^3[/tex] by 3
Rule: [tex](x,y)=>(x,y+b)[/tex]
[tex]f'"(x) = f"(x + 3)[/tex]
Solving: f"(x + 3)
[tex]f"(x) = -\frac{1}{2}x^3[/tex]
Substitute x + 3 for x
[tex]f"(x + 3) = -\frac{1}{2}(x + 3)^3[/tex]
So:
[tex]f'"(x) = f"(x + 3)[/tex]
[tex]f"'(x) = -\frac{1}{2}(x + 3)^3[/tex]
Find the three trigonometric..pls help due very soon
Answer:
sin 0 = 24/25
cos 0 = 7/25
tan 0 = 24/7
Step-by-step explanation:
hey there!
sine = opposite divided by hypotenuse
the opposite of angle 0 is 24 and the hypotenuse is 25 so sin 0 = 24/25
cosine = adjacent divided by hypotenuse
the adjacent of 0 is 7 and the hypotenuse is 25 so cos 0 = 7/25
Tangent.= opposite divided by adjacent
the opposite of 0 is 24 and the hypotenuse is 7 so tan 0 = 24/7
Each side of a square piece of sheet metal is 6 meters long. What is the sheet metal's area?
Answer:
36 meters^2
Step-by-step explanation:
please answer show work
A number q divided by 5 is 8
Answer:
q = 40
Step-by-step explanation:
[tex]\frac{q}{5} = 8[/tex]
multiply 5 on boths sides:
[tex]\frac{q}{5} x 5 = 8 x 5[/tex]
q = 40
to check:
[tex]\frac{40}{5}[/tex] = 8
Answer:
q = 40
Step-by-step explanation:
5,10,15,20,25,30,35,40
1 2 3 4 5 6 7 8
Lucy earned $24 for tutoring 2 students for 1 hour each. How much can she earn for tutoring 15 students for 1 hour each?
Answer:
Step-by-step explanation:
15(24/2)=$180
If 2/3x−1=4 , then x=
Answer: a. 15/2
Step-by-step explanation:
[tex]\frac{2}{3}x-1=4\\ \frac{2}{3}x=5\\x=\frac{5}{\frac{2}{3} } \\x= 5* \frac{3}{2} \\x=\frac{15}{2}[/tex]
What is the value of x?
Answer:
135°
Step-by-step explanation:
here's your solution
=> we know that , sum of all angles is
equal to 180°
=> hence ,we have two angles
=> 1st angle = 45°
=> 2nd angle = 9x + 18
=>. adding both angle
=> 45° + 9x + 18° = 180°
=> 63° + 9x = 180°
=> 9x = 180° - 63
=> 9x = 117°
=>. x = 117/9
=> x = 13°
=>. hence, the required angle = (13*7) + 18°
=> angle = 135°
hope it helps
first think of the pairs of numbers that add 9 then subtract to 7
Step-by-step explanation:
x+9-7
x+2?????????????
The following are the ages (years) of 5 people in a room:
17, 21, 15, 15, 25
A person enters the room.
The mean age of the 6 people is now 25.
What is the age of the person who entered the room?
Answer:
57 years
Step-by-step explanation:
total=25*6=150
17+21+15+15+25+x=150
93+x=150
x=150-93
x=57
Answer:
age=57
Step-by-step explanation:
ages=17 21 15 15 25 ?
17+21+15+15+25=93(old mean)
17+21+15+15+25+?=25(new mean)
25(new mean)*6(number of numbers)=150
?=150-93=57
= 57
If 6 units equal 36 inches, what is the value of 1 unit?
Answer:
6 units
Step-by-step explanation:
you have to divide 36 by 6
Answer:
Step-by-step explanation:
1u(36in/6u)=6in
Is the relationship between x and y proportional? Show and explain your answer
Х
y
4
24
6
36
7
42
9
63
I
Answer:
Yes
Step-by-step explanation:
Being proportional means that if you divide the Y value by the X number for each ordered pair, they all equal the same number
For this case, this is proportional because you need to multiply by 6 to get the Y value.
evaluate the function
Answer:
f=(x^2/2)+(9x/2)
Step-by-step explanation:
Help me please!!!! I need help fast
Answer:
D
Step-by-step explanation:
120/360 x 2(pie)(10)
please help me I would really appreciate it.
Answer:
Roots and exponents, Addition and subtraction.
is RATIONAL , IRRATIONAL,NON REAL NUMBERS
[tex] \sqrt{27[/tex]
Answer:
It's irrational
Step-by-step explanation:
the square root of 27 is equal to:
[tex]\sqrt{27} = \sqrt{3\cdot3\cdot3} = 3\sqrt{3}[/tex]
We know that [tex]\sqrt{3}[/tex] is an irrational number (but a real number), so [tex]3\sqrt{3}[/tex] is the same.
In case we need to prove that [tex]\sqrt{3}[/tex] is irrational, please leave a comment.
what is the product of (4y-y)(9+4x+3y)
Step-by-step explanation:
(4y-y)(9+4x+3y)
36y+16xy+12y^2-9y-4xy-3y^2
collect like terms
36y-9y+16xy-4xy+12y^2-3y^2
=27y +12xy+9y^2
Find the distance d between 21 = (-7 - 6i) and Z2 = (-15 – 12i). Express your answer in exact terms and simplify, if needed.
Answer:
10
Step-by-step explanation:
The distance is equal to the modulus of Z1-Z2.
[tex]Z_1 - Z_2 = -7 - 6i - (-15 - 12i) = 8 + 6i\\|8 + 6i| = \sqrt{8^2 + 6^2} = \sqrt{64 + 36} = \sqrt{100} = 10[/tex]
Hannah baked twice the number of cookies Sam baked. Sam baked 36 cookies. Let c represent the number of cookies Hannah baked.
Which equation shows an equality between two different ways of expressing how many cookies Sam baked?
A. 36 = c – 2
B. 36 = c + 2
C. 36 = c ÷ 2
D. 36 = c x 2
Answer:
From what I understood u write 2 ways of how many cookies hannah has
Maybe
36×2
36+36
Step-by-step explanation:
Jamal spent _ 3 4 of his allowance. On the number line, label the fraction that represents the part that Jamal spent. Explain
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Fraction of pocket money spent by Jamal = 3/4
The number line is divided into 4 equal parts with distance between successive tick marks representing 1 of the whole = (1/4). Hence, 3/4 of the whole would mean 3 portions of the total 4 portions of the number line represents the amount spent by Jamal.
The fraction spent by Jamal is also labeled on the number line picture in the attached document.
what is the degree of 5x^2y^3+2x^2?
Answer:
5
Step-by-step explanation:
The degree is the largest exponent on the variable which is 5.
HELP HELP HELP HEPL memememememme
Answer:
A.
Step-by-step explanation:
vertical translation UP 1 unit
Find the slope of a line that contains points (9,1) and (3,-3) in the simplest form
what are common prime factor of 77 and 242?
Answer:
2 times 11 times 3511
Step-by-step explanation:
i kinda dont know what your asking but i tried
The common prime factor of the numbers 77 and 242? will be 11.
What is a prime factor?A number can be expressed as the product of its prime factors through the process of prime factorization. A number with exactly two factors, 1 and the number itself, is said to be a prime number. As an illustration, let's use the number 30. Even though we are aware that 30 = 5 6 is not a prime number,
Given that the numbers are 77 and 242. The prime factor of the numbers is calculated as,
77 / 11 = 7
242 / 11 = 22
Hence, the number 11 is completely dividing both the numbers 77 and 242 so the prime factor of the numbers is 11.
To know more about prime factors follow
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What is the area of the real store in square inches? What is the area of the real store in square feet? What are the dimensions (length and width) of the store in feet? Is it a big store or a small one? PLEASE HELPP!!
Answer:
The dimensions of the real store are 80 times bigger as per scale:
1.875 in * 80 = 150 in = 150/12 ft = 12.5 ft2.25 in * 80 = 180 in = 180/12 ft = 15 ftThe area of the real store:
150 in * 180 in = 27000 in²12.5 ft * 15 ft = 187.5 ft²PLEASE HELPPP ME!!! Four students are running for class president in the seventh grade. Sixty students in the seventh grade were randomly chosen to take a
survey asking whom they planned to vote for. The results of the survey are shown below.
Number of Female Number of Male
Name of
Candidate
Students Voting Students Voting
for Candidate for Candidate.
There are a total of 140 seventh grade students. Based on the survey, who most likely will be the class president?
O A. Aarav
B. Gavin
C. Madelyn
D. Nevada
Answer:
Answer is B hope this helps
Step-by-step explanation:
Answer:
Neveah/nevada is the answer
Step-by-step explanation:
When adding her points she has the most so she will win bc she has the most votes
Select all ratios equivalent to 5:3.
30:18 4:1 9:15
find the missing angle measure of the following figure
Answer:
Step-by-step explanation:
By triangle sum theorem,
73°+ 39° + m∠1 = 180°
m∠1 = 180° - 102°
m∠1 = 78°
Since, m∠1 = m∠2 [Vertically opposite angles]
m∠2 = 78°
Sum of interior angles of a polygon = (n - 2)×180°
Where n = number of sides of the polygon
Sum of the interior angles of a quadrilateral = (4 - 2)×180°
= 360°
Therefore, 77° + m∠3 + 90° + m∠2 = 360°
77° + m∠3 + 90° + 78° = 360°
m∠3 = 360° - 245°
m∠3 = 115°
Which rule describes why these triangles are congruent?
Answer:
ASA
Step-by-step explanation:
ANGLE SIDE ANGLE
according to your question
A segment has endpoints at (-2,8.4) and (2.8, 12). Find the
coordinates of the segment's midpoint.
Answer:
(0,10.2)
Step-by-step explanation:
Ralph’s annual expenses for the upcoming year are summarized in the chart below. Based on the information in the graph, approximately what percent of his total annual income is Ralph having withheld for taxes?
a. 6%
b. 18%
c. 30%
d. 36%
Answer:
D
Step-by-step explanation:
You have to do the summation of all expenses so
1,750+3,260+3,500+4,332+6,652+4,880+15,000+3,448+18,380= 61,202
The total of taxes is composed of state taxes and federal taxes
3,448+18,380= 21,828
Set up a proportion to calculate the percentage
21,828 : 61,202 = x% : 100%
[tex]x\% = \frac{21828 \times 100}{61202} = \frac{2182100}{61202} = 35.67\%[/tex]
You can approximate the result to 36%
The percentage of the annual budget withheld for taxes is 36%.
Total budget of RalphThe total budget of Ralph is calculated as follows;
T = 1,750 + 3,260 + 3,500 + 4,332 + 6,652 + 4,880 + 15,000 + 3,448 + 18,380
T = $61,202
Total tax on Ralph's annual budgetTax = 3,448 + 18,380
Tax = $21,828
The percentage of the annual budget withheld for taxes is calculated as follows;
[tex]= \frac{tax}{total \ budget} \times 100\%\\\\= \frac{21,828}{61,202} \times 100\%\\\\= 35.67 \ \%\\\\\approx 36 \ \%[/tex]
Learn more about tax on budget here: https://brainly.com/question/25817705
