Answers
Answer:
[tex]y=-\dfrac{1}{8}x^3[/tex]
Step-by-step explanation:
If a function is symmetrical about the origin, when y is replaced with (-y) and x is replaced with (-x), the resulting function will be equal to the original function.
Original function:
[tex]y=-\dfrac{1}{8}x^3[/tex]
Replace y with (-y) and x with (-x):
[tex]\implies -y=-\dfrac{1}{8}(-x)^3[/tex]
[tex]\implies -y=-\dfrac{1}{8}\cdot -x^3[/tex]
[tex]\implies -y=\dfrac{1}{8}x^3[/tex]
Multiply both sides by -1:
[tex]\implies y=-\dfrac{1}{8}x^3[/tex]
Therefore, as the function is equal to the original function, this function is symmetric with respect to the origin.
Related Questions
Michelle purchases a tablet that costs
$85. The sales-tax rate in her city is 7%.
What is the total cost of the tablet?
Answers
Answer:
$90.95
Step-by-step explanation:
85 + .07(85)
85 + 5.95
90.95
Brooklyn scored 27 points in the basketball game. That was 12 points more than her friend, Cienna, scored. How many points did they score altogether? * 2 points
Answers
Answer:
42 points
Step-by-step explanation:
If Brooke scored 27 points, 12 less than that would be what Cienna scored. To find this, you would do 27 - 12. This is equal to 15, so Cienna scored 15 points.
To find how much they scored together, you would add both their scores. Brooke scored 27 and Cienna scored 15, so 27 + 15 = 42. Therefore, they scored 42 points together.
Students from the local high school are selling tickets to the town's annual carnival. Adult admission is $4.00 and child admission is $2.00. Four hours after the carnival opened its first day, 440 tickets had been sold totaling $1380. How many adults and how many children entered the carnival after it was opened?
Answers
The number of adults is 200 and the number of children that entered the carnival after it was opened is 240.
How to find the number tickets sold?Let a represent the number of adult tickets sold
Let c represent the number of children tickets sold
4a + 2c = 1380
Hence,
a + c = 440
Solving for c
4 (440-c) +2c = 1280
1760-4c +2c = 1280
-4c+2c = -480
-2c=-480
Divide both side by -2c
c = -480/-2
c = 240 (children tickets)
Solving for a
a =440-c
a =440 -240
a=200 (Adult tickets)
Therefore 240 and 200 tickets were sold.
Learn more about number of tickets sold here:https://brainly.com/question/11986887
#SPJ1
The table shows a set of points on a line.
y
6
5
4
3
What is the slope of the line?
X
-6
-3
0
3
Answers
The slope of the line is -3 and the equation of the line formed by the points is y + 3x = 6.
From the table we can see that the line passes through the points:
(-6,6) ,(5,-3) ,(4,0) and (3,3) .
Let us consider any two points on the line (4,0) and (3,3) .
We know that the slope of the line can be found by using the intercept formula
Hence slope = (3-0) / (3-4) = 3/ -1 = -3
Now the equation of the line is :
y - 3 = -3(x-3)
or, y - 3 = -3x +9
or, y + 3x = 6
The letter m is frequently used to represent the slope of an object that resembles a line in the plane that contains the x and y axes. The slope is defined as the difference in two independent locations along the line expressed in y coordinate less by the equivalent difference in x coordinate.
Therefore slope of the line is -3.
To learn more about slope visit:
https://brainly.com/question/11559942
#SPJ1
Evaluate the following algebraic expression:
w + 8.5 when w = 6.3
O 3.2
O 14.8
O 2.2
O 4.8
Answers
Answer:
14.8 is the answer to the question
Consider the following equation:
3|x+3|−12=0
Step 2 of 4: Using the definition of absolute values, convert the standard form of the given equation into two equations without absolute value signs.
Answers
The value of x in the following equation: 3|x+3|−12=0 is -7 and 1
The equation is 3|x+3|−12=0
The modulus function can be positive and negative
Considering it to be negative,
the equation is
3((-1)(x + 3) - 12
3(-x - 3) - 12
-3x - 9 - 12 = 0
3x + 21 = 0
3x = -21
x = -7
3(x + 3) - 12
3x + 9 - 12
3x - 3 = 0
3x = 3
x = 1
Therefore, the value of x in the following equation: 3|x+3|−12=0 is -7 and 1
To learn more about the algebra refer here
https://brainly.com/question/4344214
#SPJ1
Which number line represents the graph of x = 2?
Answers
Answer:
The 3rd one
x = 2 means how far is the line from 0
PLEASE GIVE BRAINLIEST THANK YOU!!!
Find the quotient and remainder
using synthetic division for
x³ + 4x² + 5x +9
x + 2
Answers
Answer:
quotient: x^2+2x+1
remainder: 7
Step-by-step explanation:
Step-by-step explanation:
x³+4x²+5x+9= (x+2)(x²+2x+1)+7
Quotient= (x²+2x+1)
Remainder=7
2. A local grocery store received 240 turkeys the week prior to Thanksgiving. On Sunday,
they sold 3/8 of them. How many turkeys were sold on Sunday? Solve the problem
using the Draw a Diagram strategy.
Answers
The number of turkeys that they sold on Sunday is 90 turkeys
Total number of turkeys = 240
On Sunday, they sold 3/8 of them
The fraction of turkeys they sold on Sunday = 3/8
To find the number of turkeys that they sold on Sunday we have to find the 3/8 fraction of 240
Then,
The number of turkeys that they sold on Sunday = Total number of turkeys × The fraction of turkeys they sold on Sunday
Substitute the values in the equation
The number of turkeys that they sold on Sunday = 240 × 3/8
= 240 × 0.375
= 90 turkeys
Hence, the number of turkeys that they sold on Sunday is 90 turkeys
Learn more about fraction here
brainly.com/question/10708469
#SPJ1
solve for x;
2/7 x + 1/5 x=51
Answers
Answer:
x = 105
Step-by-step explanation:
To solve for x, we simply need to isolate it:
[tex]\frac{2}{7}x+\frac{1}{5}x=51\\ \frac{17}{35}x=51\\ x=105[/tex]
Solve the equation: u^6 − 49 u^4 = 0 .
Answers
The given equation solved for u is u = 7 or u = -7
Solving an equationFrom the question, we are to solve the given equation.
The given equation is
u^6 − 49 u^4 = 0
First, we will write the equation properly
The given equation written properly is
u⁶ - 49u⁴ = 0
Now,
To solve the equation, we will determine the value(s) of the variable. The variable in the given equation is u.
Thus,
We will solve for u
u⁶ - 49u⁴ = 0
Add 49u⁴ to both sides of the equation
u⁶ = 49u⁴
Divide both sides by u⁴
u⁶/u⁴ = 49u⁴/u⁴
u² = 49
Then,
u²- 49 = 0
u² - 7² = 0
Factorize by applying the rule for difference of two squares
(u + 7)(u - 7) = 0
Then,
u + 7 = 0 OR u - 7 = 0
u = -7 OR u = 7
Hence, the value of u is -7 OR 7
Learn more on Solving an equation here: https://brainly.com/question/11483004
#SPJ1
Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. Afterwards, determine two values of x that support your
conclusion.
x - 4 = 0
Answers
There is only one solution for the equation x - 4 = 0 and the solution is 4.
Equation
An equation also known as the expression consists of variables, number and the mathematical operator that are combined using the equal sign.
Given,
Here we have the equation x - 4 = 0
Now, we need to Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. Afterwards, determine two values of x that support your conclusion.
In order to find the solution of the equation, we have to equate the equation with zero and solve it accordingly,
So, the given equation is rewritten as,
x - 4 = 0
Now, we have to move the number to the other side to get the value x, then we get,
x = 4.
Therefore, the equation has only one solution that is 4.
To know more about Equation here.
https://brainly.com/question/10413253
#SPJ1
Explain if Todd’s Conclusion is logical.How did you decide? If it is not logical,what can you do to improve his reasoning?
Answers
Answer:
Todd's conclusion is logical. I know this because all people named Todd are logical beings who always come to logical conclusions. But seriously though, please comment down below more of your question so I can accurately answer it, thanks!
Step-by-step explanation:
(b) The graph of y=g(x) is shown. Draw the graph of y=g(1/2x)
Answers
The graph of the piece-wise function g(0.5x) is given by the second image at the end of the answer.
What is a piecewise-defined function?A piecewise-defined function is a function that has different definitions, depending on the input of the function.
In this problem, the function given by the first graph has two definitions, as follows:
To the left of x = 0.To the right of x = 0.The two functions are linear with intercept 0, hence the definitions are given as follows:
x < 0: y = 2x, as when x increases by 1, y increases by 2, hence slope of 2.x > 0: y = -0.5x, as when x increases by 2, y decreases by 1, hence slope of -0.5.After the transformation x -> 0.5x, the definitions are given as follows:
g(0.5x) = 2(0.5x) = x, x < 0.g(0.5x) = -0.5(0.5x) = -0.25x, x > 0.Missing InformationThe graph of g(x) is given by the first image at the end of the answer.
More can be learned about piece-wise functions at https://brainly.com/question/18499561
#SPJ1
Evaluate the following algebraic expression:
64-9p when p = 7
O 14
O 63
O 36
01
Answers
Answer:
63 is the answer.
Step-by-step explanation:
9p=9xp, p=7, so 9x7=63. ;)
A deck of cards contains RED cards numbered 1,2,3,4,5 and BLUE cards numbered 1,2,3,4,5,6. Let R be the event of drawing a red card, B the event of drawing a blue card, E the event of drawing an even numbered card, and O the event of drawing an odd card. Drawing the Red 3 is an example of which of the following events? Select all correct answers.
Answers
The probability of drawing the Blue 4 is an example of .R′f.E′
Red cards = 1,2,3
Blue cards =1,2,3,4,5,6
Pr(R) = Drawing a red card = 3/9 = 1/3
Pr(B)= Drawing a blue card = 6/9 = 2/3
Pr(E) = Drawing an even card = 4/9
Pr(O) = Drawing an odd number card = 5/9
Probability of drawing the blue 4 ? = Pr(blue, 4) = 1/9
From the options
(A) R or O = Pr(R) + Pr(O) = 1/3 + 1/9 = 8/9 ........(Not equal to 1/9)
(B) B and O = Pr(B) × Pr(O) = 2/3 × 5/9 = 10/21......(Not equal to 1/9)
(C) R or E = Pr(R) + Pr(E) = 1/3 + 4/9 = 7/9.......(Not equal to 1/9)
(D) R and O = Pr(R) + Pr(O) = 1/3 × 5/9 = 5/27.......(Not equal to 1/9)
(E) R'. E' = 1-Pr(R)-1-Pr(E) =
1-1/3 =2/3- 1-4/9 =5/9
2/3-5/9 = 1/9......( equal to 1/9).
Hence, the probability of drawing the Blue 4 is an example of .R′f.E′
To learn more about probability refer here
https://brainly.com/question/24756209
#SPJ1
Disclaimer: the question given by you is incomplete, the solution is done as per a similiar question which is
A deck of cards contains RED cards numbered 1,2,3 and BLUE cards numbered 1,2,3,4,5,6. Let R be the event of drawing a red card, B the event of drawing a blue card, E the event of drawing an even numbered card, and O the event of drawing an odd card.Drawing the Blue 4 is an example of which of the following events? Select all correct answers.Select all that apply:a.R OR Ob.B AND Oc.R OR Ed.R AND Oe.R′f.E′
Choose a variable, write a inequality, and solve the inequality.
The sum of a number and -2 is no more than 6
Answers
Answer: 4
Step-by-step explanation: your going to divide -2 by 1 and you get 2 then add 4 and you get 6 pls give me brainliest :)
1. Write the radical below in the simplest radical form. Decimals are not allowed.
√175
2. Write the radical in simplest radical form. Decimals not allowed
√5/12
number 2 is a fraction btw
Answers
The simplest radical form of the radicals given are:
1. The simplest radical form of √175 is 5 √7.
2. The simplest radical form of √5 / 12 is √5 / 12.
First, let us understand the radical:
A radical can also be called a surd. A surd is an irrational number. We say that it is irrational because it can not be expressed as a terminating decimal.
1.
We are given:
√175
We need to write in the simplest radical form.
175 can be written as:
175 = 5 * 5 * 7
√175 = √ 5 * 5 * 7
√175 = √ 5 * 5 * √7
√175 = 5 √7
So, the simplest form of √175 is 5 √7.
2.
We are given:
√5 / 12
We need to write in the simplest radical form.
√5 / 12 is already in the simplest form.
So, the simplest form of √5 / 12 is √5 / 12.
Thus, the simplest radical form of the radicals given are:
1. The simplest radical form of √175 is 5 √7.
2. The simplest radical form of √5 / 12 is √5 / 12.
To learn more about radical visit:
https://brainly.com/question/15476889
#SPJ1
h(t)= t+ 1/t^2+2t+2.
Find derivative.
Answers
The derivative of given function is H’(t) = 3 – 2/t3
A derivative is a two-party contract whose value/price is derived from an underlying asset. Futures, options, forwards, and swaps are the most prevalent types
Given that H(t)= t+ 1/t^2+2t+2
We must calculate the derivative
H(t)= t+ 1/t^2+2t+2
H(t) = 3t + 1/t^2 + 2
H’(t) = d/dt(3t + 1/t^2 + 2)
H’(t) = d/dt(3t) + d/dt (1/t^2) + d/dt ( 2)
H’(t) = 3xd/dt(t) + d/dt (1/t^2) + d/dt ( 2)
H’(t) = 3xd/dt(t) + d/dt (t-2) + d/dt ( 2)
H’(t) = 3 – 2t-3
H’(t) = 3 – 2/t3
Therefore the derivative of the given function is H’(t) = 3 – 2/t3
To learn more about derivatives visit
https://brainly.com/question/25324584
#SPJ1
Finding a percentage of a total amount
Answers
0.124 x 173 = 21.452
Answer 21.5 (rounded to the nearest tenth)
1/3 of the guests choose beef
5/12 choose chicken
69 are vegeterian
How many guests are at the wedding
Answers
The number of guests at the wedding is 276.
How to calculate the number of guests?Since 1/3 of the guests choose beef and 5/12 choose chicken, the fraction for vegetarian will be:
= 1 - (1/3 + 5/12)
= 1 - 3/4
= 1/4
Therefore, let the total number of guests be x.
This will be illustrated as:
1/4 × x = 69
0.25x = 69
Divide
x = 69 / 0.25
x = 276
Therefore, there are 276 guests.
Learn more about fractions on:
brainly.com/question/17220365
#SPJ1
Given is a 30-60-90 Triangle. From the answer
choices below, select all that represent possible
side lengths.
○3√3; 3; 6
O 10√3; 15; 5√3
08:8√3:24
○ 5√2; 5√6; 10√/2
Answers
The represent possible side lengths of perimeter is 8;8√3;24.
What is perimeter?
perimeter is the distance of around the edge of a shape. Learn how to find of the perimeter by adding up to the side lenghth of various shapes.
The perimeter is the distance around the object.
Sol-as per the given question the angle value of the triangle is -
7 in
(x+4)in
(4x+1)in
Here,
X+4=4x+1
X=1
Perimeter:- 5+5+7 =
17 Inches.
Thus the perimeter of the triangle is 17 Inches.
To know more about perimeter click-
https://brainly.com/question/19819849
#SPJ1
Geometry Gina wilson pls help
Answers
For the given measures of angles of heptagon, the value of x is equal to 27° .
As given in the question,
Sum of all the interior angles of the heptagon is equal to 900.
Given measure of all the angles of the heptagon is given by :
135°+( 5x - 4 )° +( 7x - 64 )° + 120° +( 6x - 8 )° +( 4x + 15 )° + ( 3x + 31 )°= 900°
Arrange all the like terms of the given expression together we get,
⇒ ( 5x + 7x + 6x + 4x + 3x )° + ( 135 - 4 - 64 + 120 - 8 + 15 + 31 )° = 900°
⇒ 25x° + 225° = 900°
⇒ 25x° = 900° -225°
⇒ 25x° = 675°
⇒ x = 27°
Therefore, for the given measures of angles of heptagon, the value of x is equal to 27° .
Learn more about heptagon here
brainly.com/question/12630702
#SPJ1
6. Solve the following inequalities for the variable and graph the solution.
3+4x>-5.
Answers
Answer:
3+4x>-5
4x>-5-3
4x>-8
x>-8/4
x> -2
100 points for this There was a blizzard. Snow was falling at the rate of 3
inches per hour. If the snow keeps acclimating how long will 5 feet of snow to accumulate ?
Answers
Since there are 60 inches in 5 feet (5*12), we know that it will take 20 hours for 5 feet of snow to accumulate (60/3).
Hope this helps!
(-3,6), (0,3), (-1,2), and (2,-1) all lie on a line. Find the Slope of the Line. Make Sure You Do Number 11 On The Paper!
Answers
to get the slope of any straight line, we simply need two points off of it, let's use those two from the picture below
[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{2}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{6}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{(-3)}}} \implies \cfrac{-4}{-1 +3} \implies \cfrac{ -4 }{ 2 } \implies - 2[/tex]
If a = 2 and b = 3, what is the value of 2a³b2?
Answers
Answer:384
Step-by-step explanation:
first you multiply 2 times 2= 4 then 4 times 4 times 4= 64 then you multiply 3 times 2= 6 lastly you multiply 6 and 64. your welcome:)
What is value of x?
Responses
12
12,
10
10,
9
9,
3
Answers
(MAKE BRAINLIEST IF I HELPED)
Answer:
x=10
Step-by-step explanation::
We can use Triangle angle bisector theorem and proportions to solve this problem. We put the small triangle side over the large triangle side
8 x+4
------ = ------------
12 2x+1
Using cross products
8(2x+1) = 12(x+4)
16x+8 =12x+48
Subtract 12x from each side
16x-12x +8 = 12x-12x+48
4x+8 = 48
Subtract 8 from each side
4x+8-8 = 48-8
4x = 40
Divide by 4
4x/4 = 40/4
x = 10
Answer:
x=10
Step-by-step explanation:
A line passes through the point (2, 7) and has a slope of 5. Write an equation in slope-intercept form for this line.
Answers
Answer: y = 5x - 3
Step-by-step explanation:
It is a line, so its formula is y = mx + b.
Slope(m) = 5Y-intercept(b) =[tex]y=5x+b\\7=5(2)+b\\7=10+b\\b=7-10=-3[/tex]
Therefore, the formula is y = 5x - 3.
Answer:
y=5x-3
Step-by-step explanation:
whats 28.2 × 4.42= in decimal form? lol
Answers
Answer:
124.644
Step-by-step explanation:
28.2*4.42=124.644.
Answer:
28.2 × 4.42= 124.644
and in non-decimal it's 124644 removing 3 decimal places
Step-by-step explanation:
Brainiest, please
thank you