Algebraically determine whether the following function is Even, Odd, or Neither.
f(x) = x^3 - 2x
PLEASE SHOW WORK
Answers
Answer:
b. odd
Step-by-step explanation:
f(-x)^3-2x(-x)
f(-x)=-x^3+2x
f(-x)=-(x^3-2x)
f(-x)=-f(x)
The given function f(x) = x³ - 2x is an odd function.
Given that,
To determine whether the given function is odd, even, or neither.
Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
The given function is f(x) = x³ - 2x,
For the given function to be odd f(-x) = -f(x)
put x = -x in the function,
f(-x) = (-x)³ - 2(-x)
f(-x) = -x³ + 2x
Thus. the given function f(x) = x³ - 2x is an odd function.
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Related Questions
what’s the area of this trapezium
Answers
Step-by-step explanation:
Area of trapezium
=1/2 h(a+b)
=1/2 2(6+4)
=1/2 2.10
=1/2 20
=10cm. cm
Answer:
10 cm² (the answer of blue trapezium)
Step-by-step explanation:
s=((4+6)*2)/2=10
Line AB has endpoints A(3,4) and B(-2,8). What is AB to the nearest tenth
Answers
Answer:
6.4
Step-by-step explanation:
To find the distance you have to do this formula.
[tex]\sqrt{(x2 -x1)^{2}+(y2-y1)^{2}} \\\sqrt{(-2 -3)^{2} + (8-4)^{2}\\} \\\sqrt{(-5)^{2} + (4)^{2}} \\\sqrt{25 + 16} \\\sqrt{41} \\ \\\sqrt{41} = 6.40312\\6.4[/tex]
6.4 is the answer rounded to the nearest tenth.
Hope this helps!!
Given: 4d=1/3(c-d) Proof= c=13d
Answers
Proof:
Multiply both of the sides by 3. You would get 12d = c - d. Add d on both sides, and you would get c = 12d
Here, we are required to proof c = 13d from 4d=1/3(c-d)
Ultimately, c = 13d (proof)
We have;
4d=1/3(c-d)Cross product
4d × 3 = c - d
therefore, By collecting like terms;
C = 12d +d
and Ultimately, c = 13d ......
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A
B
C
Neither of them
Answers
What is this equation in slope-intercept form, 5х – бу = -15?
Answers
Answer:
y = 5/6x + 5/2
Step-by-step explanation:
PLEASE HELP DUE IN 5 MINS
Answers
Answer:
it might be 2,-2
Step-by-step explanation:
5 into 3 by 8 + 3 into 2 by 5
Answers
Answer:
30
5 X 3 ÷ 8 + 3 X 2/5
= 15/11 X 2/5
(Take LCM of 5 and 11. LCM - 55)
15 X 5. 75
_____ =. ___
11 X 5. 55
2 X 11. 22
_____ =. ___
5 X 11 55
75 X 25. 1650
______ = ______
55. 55
= 30
If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the probability that the card you select is not a 4? (Your answer must be in the form of a reduced fraction.)
Answers
Answer:
12/13
Step-by-step explanation:
A standard deck of cards has four suites
Total number of cards = 52
Total number of cards which are 4 is = 4
The probability that the card selected is 4 = 4/52 = 1/13
S, the probability that the selected card is not a 4 = 1 - (1/13 )= 12/13
PLZZZ HELPPP ME!!!
A road map shows the intersections of roads. There are three parallel roads cut by
a fourth road that acts like a transversal.
What is tru
Choose one
If ZEBC mea
ZHEF has th
The sum of th
Answers
Answer:
4
Step-by-step explanation:
A pound of chocolate costs 8 dollars. Lamar buys p pounds. Write an equation to represent the total cost ċ that Lamar
pays.
Answers
Answer:
8p=c
Step-by-step explanation:
The number of pounds Lamar buys multiplied by the cost of a pound which is 8 equals c. 8p=c
Please help ASAP!
Given f(x)=x² – 9x + 20 and g(x)= x -5, find (f/g)(x)
a. X-5
b. x +4
c. -2x - 4
d. x-4
Answers
i need help asp Which of the following is equivalent to the statement, "Nine fewer that the product of a number and two is negative nine.
Group of answer choices
x/2 - 9 = -9
x/2 + 9 = -9
2x - 9 = -9
9 - 2x = -99
Answers
I think its A
x/2 - 9 = -9
please answer correctly
will mark brainlest 1hour to complete
Answers
Answer:
its (0, 0) because the line goes through thex and y intercept
Answer:
2, 0.15
Step-by-step explanation:
convert 6,700 miligrams to grams
Answers
Answer:
6.7
Step-by-step explanation:
Students were asked to name their favorite kind of book to read. Seven students chose mystery, nine chose sports, four chose history, and five chose fantasy. Which ratio compares the total number of students to the number of students who chose mystery books?
Answers
Answer:
25:7
Step-by-step explanatio
Answer:
7/25
Step-by-step explanation:
First, you have to multiply all the students mentioned together.
There were 25 students that were asked to name their favourite kind of book.
Then, we need to take out the students that chose mystery, which were 7.
Therefore it is 7/25, and this is the simplest form.
PLEASE HELP me with this!! will mark brainliest.
Answers
Answer:
4 roots
Explain:
Odd degree polynmial
Evaluate the exponential expression using the order of operations.
(6+3)4
Answers
Answer:
36.
Step-by-step explanation:
6 plus 3 is 9 and 9 times 4 is 36, hope this helps.
0.5 in simplest form
Answers
Answer:
all e
3 works hope it helped
Gavin needs $80 to buy a fish tank. He has saved $8 and plans to work as a babysitter to earn $9 per hour. Which inequality shows the minimum number of hours, n, that Gavin should work as a babysitter to earn enough to buy the fish tank?
Answers
Answer:
n>8Step-by-step explanation:
Step one:
given data
needed amount= $80
the amount already saved= $8
earnings per hour= $9
let the number of hours worked be n
and let y represent the total
the situation represented linearly is
y=mn+c
Step two:
substituting our data to find n
9n+8>80
9n>80-8
9n>72
divide both sides by 9
n>72/9
n>8
Therefore he must work a minimum of 8houees
8 increased by the sum of t and 3
Answers
Answer:
8+(t+3)
Step-by-step explanation:
the sum is when you add two numbers together. so you would add t with 3 and out it in parentheses so you make sure that happens first. then you add it to 8 since 8 is being increased by the sum.
ANY MATH EXPERTS PLS HELP RN I GOT 30 MIN LEFT I'll MARK BRAINLIEST TO WHO ANSWER'S FIRST
Answers
Answer:
y = -1/4x - 6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Find points from the graph.
Point (-4, -5)
y-intercept (0, -6)
Step 2: Find slope m
Substitute: [tex]m=\frac{-6+5}{0+4}[/tex]Add: [tex]m=\frac{-1}{4}[/tex]Step 3: Write linear function
y = -1/4x - 6
At the same time a 15-foot pole casts a 7.5-foot shadow; a nearby tree casts a 24-foot
shadow. How tall is the tree?
Answers
Answer:
12-foot shadow
Step-by-step explanation:
hope this helps :3
if it did pls mark brainliest
sorry if im wrong
Uh, I need help with this question (10 points)
Answers
Answer:
2 cups
Step-by-step explanation:
-4-8 and 3-(-1)
thats it
Answers
Answer:
-4-8=-12. 3-(-1)=3
Together they equal -9
Step-by-step explanation:
You have to multiply by the - sign outside the parentheses and the first one just count backwards
Answer:
-12 and -2
Step-by-step explanation:
What is the greatest common factor of 48 and 84?
O 6
O 9
O 12
O 14
Answers
Answer:
12
Step-by-step explanation:
14 doesn't go into both 48 and 84. 12 is the next highest and it goes into both of them.
Carly is doing a science experiment breeding mice. She starts out with 2 mice and they
are supposed to double every week. How many mice will she have after 4 weeks?
Answers
Answer:
16
Step-by-step explanation:
Week one: 2
Week two: 4
Week three: 8
Week four: 16
Every week just multiply the number you have by two and you will get the answer! Hope this helps!
A cement path consists of six equal-sized cement squares arranged in a row to form a rectangle. If the total area of the path is 96 square feet, what is the length in feet of the path?
Answers
Answer:
24 feet
Step-by-step explanation:
Given that:
The length of the rectangle is 6 times the side of a cement square.
Now, this rectangle is formed from 6 squares;
The total area of the path of this square = 96 square feet;
The area of each square now = 96/6 = 16 square feet
Recall that:
Area of a square = S²
where S is the side length
16 = S²
S = [tex]\sqrt{16}[/tex]
S = 4 ft
The length of the path in feet now is: L × w
= 6 × 4
= 24 feet.
11) Which of the following is zero of the polynomial x^3+x^2+x+1
1
-1
both options 1 and 2
None
please answer
Answers
Answer:
Answer: -1
Step-by-step explanation:
The Polynomial Remainder Theorem
It states that the remainder of the division of a polynomial f(x) by (x-r) is equal to f(r).
We have the polynomial:
[tex]f(x)=x^3+x^2+x+1[/tex]
And we need to determine if x=1 and/or x=-1 are zeros of the polynomial.
Considering the polynomial remainder theorem, if we try any value for x, and the remainder is zero, then that value of x is a root or zero of the polynomial.
Find:
[tex]f(1)=1^3+1^2+1+1[/tex]
f(1)=4
Thus, x=1 is not a zero of f(x)
Now, find:
[tex]f(-1)=(-1)^3+(-1)^2+(-1)+1[/tex]
[tex]f(1)=-1+1-1+1=0[/tex]
Thus, x=-1 is a zero of f(x)
Answer: -1
Segment A'B' is parallel to segment AB. What is the length of segment AB? What is the length of segment B'B? Your answer should be in decimal form with only one decimal place.
Answers
B’B is 3.5
Step-by-step explanation:
Segment A'B' is parallel to segment AB.
So, The length of segment AB is 7.5 units
The length of segment B'B is 3.5 units
Given :
Segment A'B' is parallel to segment AB. Few sides of the triangle is given.
Apply basic proportionality theorem
When A'B' is parallel to segment AB then sides are proportional
[tex]\frac{CB'}{B'B} =\frac{CA'}{A'A}[/tex]
Substitute the values
[tex]\frac{7}{B'B} =\frac{6}{3} \\cross \; multiply\\7(3)=B'B(6)\\21=B'B(6)\\Divide \; by \; 6\\B'B= \frac{21}{6} \\B'B=3.5[/tex]
Now we find AB by making a proportion
[tex]\frac{CA'}{CA} =\frac{BA'}{BA} \\\frac{6}{9} =\frac{5}{AB} \\Cross \; multiply\\6(AB)=5 \cdot 9\\6AB=45\\Divide \; by \; 6\\AB=7.5[/tex]
The length of segment AB is 7.5 units
The length of segment B'B is 3.5 units
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2.
Turkey for sandwiches costs $7.75 per pound. What equation best represents
y, the total cost of x pounds of turkey?
a. X = 7.75 + y
b. X = 7.75y
C. Y = 7.75 + x
d. Y = 7.75x
Answers
d
Explanation:
Y=7.75x
1pound-$7.75x1
Xpound-$7.75xX