Graphs of Function
Name if even, odd or neither
x4 + x²
see attached graph and I only want help with number 1. I want to learn so I can do the rest on my own.
Answers
Answer:
Examine each term of the polynomial to determine whether it is even, odd, or neither.
Even = each term is an even functionOdd = each term is an odd functionNeither = terms are even and odd termsEven function → symmetry about the y-axis
Odd function → symmetry about the origin
1) y = x⁴ is an even function, as it has symmetry about the y-axis
y = x² is an even function, as it has symmetry about the y-axis
Therefore, x⁴ + x² is an even polynomial
2) [tex]\sf y=6x^5[/tex] is an odd function, as it has symmetry about the origin.
[tex]\sf y=-x^3[/tex] is an odd function, as it has symmetry about the origin.
Therefore, [tex]\sf y=6x^5-x^3[/tex] is an odd polynomial
**Please see attachments for examples of even and odd functions**
Note:-
Every power of function variables are responsible for even odd like powe is odd function is odd power is even function is even
#1
x⁴+x²4 and 2 are even
Symmetry about y axisEven
#2
6x⁵-x³5 and 3 are odd
Symmetry about originOdd function
Related Questions
According to the line plot, what is the total weight gained by the dogs that gained 1/8 f a pound or 3/4 of a pound?
A. 2 1/2 pounds
B. 3 1/2 pounds
C. 5 pounds
D. 3 1/8 pounds
Answers
According to the line plot, the total weight gained by the dogs that gained ¹/₈ of a pound or ³/₄ of a pound is C. 5 pounds.
What is a line plot?A line plot is a graph that uses check marks above a number line, to show the frequency of each value.
In this line plot, the addition of the weights gained by dogs that gained ¹/₈ of a pound or ³/₄ of a pound shows the total.
The quantity of weight in pounds gained by the dogs that gained ¹/₈ of a pound = 1
The quantity of weight in pounds gained by the dogs that gained ¹/₄ of a pound = 2
The quantity of weight in pounds gained by the dogs that gained ³/₈ of a pound = 2
The quantity of weight in pounds gained by the dogs that gained ¹/₂ of a pound = 3
The quantity of weight in pounds gained by the dogs that gained ³/₄ of a pound = 4
Thus, based on the line plot, the total weight gained by the dogs that gained ¹/₈ of a pound or ³/₄ of a pound = 5 (1 + 4)
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Zoe has a collection of 56 seashells. Then, she goes on a 3-day beach vacation and finds 12 new seashells each day. Which expression tells you the total number of seashells in Zoe's collection after her vacation? 56+(3+12) or 56+(3times12)
Answers
3.
Find the value of x, rounded to the nearest tenth.
31.8
10.3
10.7
31.4
Answers
the ansewr is D. 31.4
Step-by-step explanation:
the ansewr is D. 31.4
helppppppppppppppppppppp
Answers
Answer:
Perimeter =28 units.
Area = 45 unit^2.
Step-by-step explanation:
The length of first side (joining first 2 points) = 5 - (-4) = 9 (as y coordinates are both -5)
The line joining the 2nd and third points = 0 - (-5) = 5
The line joining the 3rd and 4th points = 5 - (-4) = 9.
The line joining the first and 4th points = 0 - (-5) = 5
So the perimeter = 2(5) + 2(9)
= 28 units.
Area = 5*9 = 45 unit^2.
Answer:
See below ~
Step-by-step explanation:
Finding Area
Area = Length x BreadthArea = (5 - (-4)) x (0 - (-5))Area = 9 x 5Area = 45 square unitsFinding Perimeter
Perimeter = 2(Length) + 2(Breadth)Perimeter = 2(Length + Breadth)Perimeter = 2(9 + 5)Perimeter = 2(14) = 28 unitsThe volume of a cone is 36π in3
What is the volume of a cylinder with the same radius and height as this cone?
Answers
Answer:
[tex]\:V_{cylinder}=108\pi\: in^3[/tex]
Step-by-step explanation:
[tex] V_{cone} = 36\pi\: in^3[/tex] (Given)
[tex]\bold{To\: find:} \:V_{cylinder} [/tex]
It is given that: Cylinder has same base radius and height as that of cone.
[tex]\implies \:V_{cylinder}=3( V_{cone} ) [/tex][tex]\implies \:V_{cylinder}=3(36\pi\: in^3) [/tex][tex]\implies \:V_{cylinder}=108\pi\: in^3[/tex]Pretty please help me
Answers
Answer:
15 percent
Step-by-step explanation:
just look up 180 plus each percentage
What is the surface area of this square pyramid?
o 72 cm2
o 384 cm
o 204 cm
o 240 cm2
Answers
The surface area of this square pyramid is,
⇒ SA = 296 cm²
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
To find the surface area of this square pyramid
Now, We know that;
the surface area of this square pyramid is,
⇒ SA = B + 1/2 pl
Where, B represents the area of the base. p represents the perimeter of the base. l represents the slant height.
Now, We get;
B = 12 x 8
B = 96
p = 2 (12 + 8)
p = 40
l = 10
Thus, the surface area of this square pyramid is,
⇒ SA = B + 1/2 pl
⇒ SA = 96 + 1/2 x 40 x 10
⇒ SA = 96 + 200
⇒ SA = 296 cm²
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NEED HELP ON 13 AND 14 ITS OK IF YOU CAN ONLY ANSWER ONE, I WILL GIVE OUT BRAINLIEST, FIND THE LENGTH OF THE SEGMENTS IN THE PICTURE PLEASE
Answers
Answer:
It is the string theory dialated from quantum physics and decierived to the injudices of quadratic equations.
Mia plans to build a fence to divide her rectangular garden into two triangular areas. use the diagram to find the length of fence she will need to divide the garden. round up to the nearest hundredth. mia will need a fence that is meters long.
Answers
Answer:
Mia will need a fence that is 9.22 meters long.
Step-by-step explanation:
Answer:
If the square root is not a perfect square, then an approximation of the root often makes more sense in the context of the problem. For real-world problems, you would want an approximation, so you have an estimate of the length you are looking at.
Step-by-step explanation:
edg 2022
pls help me wirh this
Answers
Answer:
They will have 3 dollars left because they can buy 46 cartons. 46 cartons costs $184 dollars so 3 dollars left over from the budget
Step-by-step explanation:
The town of Lantana needs $14,000 for a new playground. Lantana
Elementary School raised $5,358, Lantana Middle School raised
$2,834 and Lantana High School raised $4,132.
About how much more money do they need to raise? Choose the best
estimate.
Answers
Answer:
1676
Step-by-step explanation:
14,000-5,358-2,834-$4,132 = 1676
Pieces of a puzzle snap together to form composite figures. What is the area of the puzzle pieces above?
Answers
Answer:
Male and Female
Step-by-step explanation:
The male connecting piece is outward and the female is inward.
PLSSS HELP IF YOU TURLY KNOW THISS
Answers
Answer:
1 1/3 pizzas.
Step-by-step explanation:
AddingL
5/6 + 3/6 = 8/6
= 1 2/6
= 1 1/3 pizzas.
PLEASE HELP! (WILL MARK BRAINLIEST.)
Christina wants to make a quilt. She purchases 1 ½ yards of blue fabric, ⅔ yards of polka dot fabric, and ⅝ yards of red fabric. How much total fabric did she buy?
*Please provide an explanation, thank you :) *
Answers
Answer:
2 19/24
Step-by-step explanation:
5/8 + 2/3= 1 7/24
1 7/24 + 1 1/2= 2 19/24
Answer:
67/24 or 2 19/24
Step-by-step explanation:
You can find a common multiple for all of the fractions.
24 is going to be the common multiple.
1 12/24+16/24+15/24
- A jar contains 55 quarters and dimes. The total value of the coins is $8.50. Find the
number of quarters and dimes in the jar.
Answers
Answer:
20 quarters and 35 dimes.
Step-by-step explanation:
Let number of quarters = q
Therefore number of dimes = 55 - q
By condition, q * 25 + (55 - q) * 10 = 850 [all converted to cents]
25q + 550 - 10q = 850
25q - 10q = 850 - 550
15q = 300
q = 300/15 = 20
Therefore, number of quarters = 20
and number of dimes = 55 - 20 = 35
when he saw 9 customers walk in. He already had 31 wings cooked, but started cooking 32 more. The customers bought all the wings and split them equally. How many wings did each person get?
Answers
Answer:
7
Step-by-step explanation:
31 Wings (already cooked)
+ 32 Wings (started cooking)
= 63 Wings total
divided by 9 customers
= 7 per person
Can you help my sister with fractions while I'm studying. I need to review on my exams
Answers
Answer:
4 + [tex]\frac{1}{2}[/tex] = 4 [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
We have 4 whole circles and half a circle so 4 + [tex]\frac{1}{2}[/tex] = 4 [tex]\frac{1}{2}[/tex]
Last year, Michael biked 318 miles. This year, he biked m miles. Using m , write an expression for the total number of miles he biked.
Answers
Answer:
318 + m =total amount of miles
Which shape is represented by the cross section below?
circle
cylinder
cone
ellipse
Answers
Answer:
cylider?
Step-by-step explanation:
What is the slope of the line that passes through the points (4, 8)(4,8) and (8, 6)(8,6)? Write your answer in simplest form.
Answers
Using linear function concepts, it is found that the slope of the line that passes through points (4,8) and (8,6) is of -0.5.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.The line goes through points (4,8) and (8,6), hence when x changes by 4, y changes by -2, and the slope is given by:
m = -2/4 = -0.5.
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Help please with trigonometry hw please
Answers
Explain how you would find the coordinates of the image (5, 2) if it was reflected over the x-axis and then that image was reflected over the y-axis what would be the end result?
Answers
Answer:
the end result is (-5 , -2)
Step-by-step explanation:
Let A’ be the image of A(5 ,2) by reflection over the x-axis
and Let A’’ be the image of A’ by reflection over the y-axis
Formula:
➽if we reflect a point M of coordinates (x , y) over the x-axis we get the image point M’ of coordinates (x , -y)
➽ if we reflect a point N of coordinates (z , t) over the y-axis we get the image point N’ of coordinates (-z , t)
_____________________________
According to the formula :
A(5,2) ———-> A’(5 , -2) ———-> A’’(-5 , -2)
Answer: To find the image after a reflection over the x-axis, I would negate the y-coordinate. To find the image after a reflection over the y-axis, I would negate the x-coordinate. So, reflecting the point (5, 2) over the x- and y-axis, I would get (–5, –2).
Step-by-step explanation:
4. Express each percent as a decimal number and
as a fraction.
a) Kyle scored 95.5% on his last test.
b) The store's sales increased by 140%.
c) By getting a car tuned up, you can reduce its
emissions by 0.9%.
Answers
B) 1.40 or 1.4 and 1 2/5
C) 0.90 or 0.9 and 9/10
1.40
1/96. 1/140
Passes through (-2,13) and (2,-7); write answer in slope intercept form.
Answers
Step-by-step explanation:
You must first know the formular for gradient then use the applied formular for slope
Derrick watched his basketball team during the season and recorded the team’s score for each game. should see a histogram how many times did the team score more than 50 points? enter your answer in the box.
Answers
Considering the histogram, it is found that the team scored more than 50 points 26 times.
What is an histogram?An histogram is a graph that shows the number of times each element of x was observed.
Researching this problem on the internet, we have that:
The team scored between 51 and 60 points 12 times.The team scored between 61 and 70 points 11 times.The team scored between 71 and 80 points 3 times.12 + 11 + 3 = 26, hence the team scored more than 50 points 26 times.
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A semicircular window with a RADIUS OF 20 inches is going to be laminated with a sunblock coating that costs 1.50 PER SQUARE INCH. How much will it cost to coat this window?
A: 200$
B: 942$
C: 1,593$
D: 1,884$
Answers
Answer:
B:942$
Step-by-step explanation:
(pi*20^2)/2 is approximately 628.32
628.32*1.5=942.48
Diameter of a semicircular window is 24 inches. Radius of window is 12 inches.
Lou wants to insert a laminated sun-block coating that costs $1.50 per square inch to apply.
It means we need to find the area of semicircular window. IT is given by :
Cost per square inch is $1.50. So, Lou spend to coat the window with sun-block is
So, Lou spend to coat the window with sun-block is $339.12.
The area of a circle is 153. 86 square meters. What is the the diameter of the circle? Use 3. 14 for π.
d =
meters
Answers
Answer:
Option (2). 14 m
Step-by-step explanation:
Formula to get the area of a circle 'A' =
where r = radius of the circle
Given in the question,
Area of the circle = 153.86 square meters
By putting the values in the formula,
153.86 = πr²
r = [tex]\sqrt{\frac{153.86}{\pi } }[/tex]
r = [tex]\sqrt{49}[/tex]
r = 7 meters
Diameter of circle = 2 × (radius of the circle
= 2 × 7
= 14 meters
Therefore, diameter of the circle is 14 meters.
Option (2) is the answer.
Without using a calculator, order the following expressions from least to greatest.
3 square root 27, pie, square root 8
Answers
1. 3 to the square root of 27
2. Pi
3. Square root 8
Largest
Three times the sum of a number, y, and 5 is at most 36.
Answers
Answer:
7
Step-by-step explanation:
3(y+5)=36
divide both sides by 3
y+5=12
minus 5
y=7
Three times the sum of a number y, and 5 is at most 36 is equivalent to y = 7
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
Operators which let do a basic mathematical calculation
+ Addition operation: Adds values on either side of the operator.
For example 12 + 2 = 14
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 12 -2 = 10
* Multiplication operation: Multiplies values on either side of the operator
For example 12*2 = 24
Given that three times the sum of a number y, and 5 is at most 36.
⇒ 3(y+5)=36
Divide both sides by 3
⇒ y + 5 = 12
Subtract by 5 in the equation
⇒ y = 7
Hence, three times the sum of a number y, and 5 is at most 36 is equivalent to y = 7
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Find the measures of all of the angles.
1. ∠ABC =
2. ∠BCA =
3. ∠CAB =
Answers
Answer:
1. ∠ABC =60
2. ∠BCA =90
3. ∠CAB =30
Step-by-step explanation:
3 angles will equal 180 deg.
the right angle is 90 degrees, always.
so (90) + (5x) + (9x+6) = 180
combine like terms
14x + 96 = 180
move like terms to isolate x
14x = 180-96
14x = 84
divide both sides by 14 to isolate x
x = 6
∠CAB = 5x replace 6 for x, = 30
∠ABC = 9x+6, replace 6 for x = (9*6) + 6, = 60