After solving the equation we get the value of k as ₋3, and also proved that the function is odd function.
Given the equation is f(x) =x³₋(k₊3) x²₊3x
also we know that the f(x) is an odd function, then by definition we write
f(₋x) = ₋f(x)
f(₋x) = (₋x)³ ₋ (k ₊ 3)(₋x)² ₊ 3(₋x)
= ₋ [x³ ₋ (k ₊ 3)x² ₊ 3x] = ₋x³ ₊ (k ₊ 3)x² ₋ 3x
(₋x)³ ₋ (k ₊ 3)(₋x)² ₊ 3(₋x) = ₋x³ ₊ (k ₊ 3)x² ₋ 3x
₋x³ ₋ kx² ₋ 3x² ₋ 3x = ₋x³ ₊ kx² ₊ 3x² ₋ 3x
₋kx² ₋ 3x² = kx² ₊ 3x²
2kx² ₊ 6x² = 0
2k + 6 = 0
k = -3
Therefore, k has the result of reducing f(x) to x³ ₊ 3x. When we examine this function to check if it's an odd function, we see that
(₋x)³ ₊ 3(₋x) = ₋x³ ₋ 3x = ₋ [x³ ₊ 3x]
Hence the value of k is ₋3 and the function is an odd function.
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Your Question is incomplete. Please find the missing content here.
If f(x) =x³₋(k₊3) x²₊3x and if f is an odd function, what is k?
please help asap! i’m confused so please explain
Answer:
C
Step-by-step explanation:
Use SOHCAHTOA
to find h we will choose cos due to Adj is 8 and Hypotunse is h
cos 45 = 8/h
h= 8/cos 45
h = 11.3137
in surd form is 8root 2
USE A CALCULATOR TO CONFIRM FROM THE ANSWERS USING THE DECIMALS YOU GOT AS ANSWER
At the beginning of the 7th grade, Martin was 50 inches tall. At the beginning of his 8th grade year, Martin was 58 inches tall. What was his percent of change from his 7th grade year to his 8th grade year? (sorry I forgot to add the answer choices) Anyways here they are-
A-13%
B- 14%
C- 16%
D- 18%
what is 21% of 12? explained
Answer: 2.52
Step-by-step explanation:
Rewrite 3x - 2y = 18 in slope-intercept form, identify the
slope and y-intercept, then graph it Show your work.
Each football costs the same amount, and each basketball costs the same amount. At the first store, the coach paid $110 for 5 footballs and 14 basketballs. At the second store, the coach paid $82.50 for 10 footballs and 6 basketballs. What was the cost in dollars of each basketball?
Answer:
$6.25
Step-by-step explanation:
Each football costs the same amount, and each basketball costs the same amount.
Let the cost of:
Footballs = f
Basketballs = b
Hence, we have the following system of equations
At the first store, the coach paid $110 for 5 footballs and 14 basketballs.
5f + 14b = 110
At the second store, the coach paid $82.50 for 10 footballs and 6 basketballs.
10f + 6b = 82.50
What was the cost in dollars of each basketball?
5f + 14b = 110..... Equation 1
10f + 6b = 82.50.....Equation 2
We solve using Elimination method.
Multiply Equation 1 by 10 and Equation 2 by 5 to eliminate f
50f + 140b = 1100.... Equation 3
50f +30b = 412.5.......Equation 4
Subtract Equation 4 from Equation 3
110b = 687.5
b= 687.5/110
b = $6.25
Therefore, the cost of one basketball in dollars = $6.25
Plzzzzzzzz answer this question!!!!:
Answer:
I want to say 12:50 pm but please tell me if I'm wrong
What value of x is in the solution set of 2x-3 > 11 - 5x?
OOOO
4
Mark this and return
Save and Exit
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Submit
Answer:
x>2
Step-by-step explanation:
2x -3>11-5x
=2x+5x>11+3
=7x>14
=7x÷7>14÷7
=x>2
Can someone help me with this problem?
1
Select the correct answer.
A wooden board that is 108 inches long is cut into two equal parts. What is the length of each part in feet? (feet: Inches = 4:12)
OA. 0.45 feet
OB.
4.5 feet
9 feet
OD. 54 feet
Reset
Next
Oh
Answer:
B. 4.5
Step-by-step explanation:
108 divided by 2 = 54
54 feet into inches is 4.5
Please helppppp :)))
Answer:
jrbfbfbfbxbcvdvdgv
Step-by-step explanation:
bvdbdhdhwofftreytugete
all you need is in the photo
Answer:
It is the second one (It's decreasing by five feet per hour.)
Step-by-step explanation:
Thanks for the points!
Stay safe and healthy!
Happy holiday seasons!
Answer:
the water level decreases by 5 feet per hour
Step-by-step explanation:
firstly the bar is going downwards, hence ,making a loss, decrease etc
so 1st and 3rd are out
initially we had 30ft of water
after
1 hr = 25 ft
- 5 ft decreased
2hrs = 20 ft
- 5 ft decreased again from the previous time checked
3hrs = 15 ft
- 5 ft decreased 1 hr ago
hence the water level decreases by 5 feet per hour
If the sales tax rate is 5%, how much tax will you pay on a $35 sweatshirt? * 5 points
$36.75
$1.75
$35.75
$2.25
Answer:
$36.75
Step-by-step explanation:
You do 5% of 35 which equals 1.75 that’s your sales tax.
then add 1.75+35.00= 36.75
will give brainliest if answered *correctly** picture attached
Which relationships have the same constant of proportionality between yyy and xxx as the following graph?
Choose 3 answers:
Choose 3 answers:
(Choice A)
A
y=0.25xy=0.25xy, equals, 0, point, 25, x
(Choice B)
B
y=8.2xy=8.2xy, equals, 8, point, 2, x
(Choice C)
C
(Choice D)
D
xxx yyy
333 121212
444 161616
555 202020
(Choice E)
E
xxx yyy
666 1.51.51, point, 5
777 1.751.751, point, 75
888 222
Answer:
A, C, E
Step-by-step explanation:
The required relation whose constant of proportionality matches with the constant of proportionality given in the graph.
Given that,
A curve is shown in the graph, it is to be determined that the constant of proportionality of the curve matches one of the curves given in the options.
Proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense that are they directly proportional or inversely proportional to each other.
Here,
Constant of proportionality for the given function,
y/x = 2 / 8 = 0.25
Since the constant of proportionality of the functions mentioned in Option A, C and E matched with the given graph.
Thus, the required relation whose constant of proportionality matches the constant of proportionality is given in the graph.
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ASAP PLEASE HELP WILL MARK AS BRAINLIST HELP
Answer:
38 degrees
Step-by-step explanation:
corresponding angles are equal
Last week’s and this week’s daily high temperatures are shown in the table below.
High Temperatures for This Week and Last Week
High Temperatures
This Week (Degrees Fahrenheit)
65
73
73
74
73
75
71
High Temperatures
Last Week (Degrees Fahrenheit)
68
51
62
66
85
72
72
How much greater is this week’s median temperature than last week’s median temperature?
2 degrees
3 degrees
4 degrees
5 degrees
Answer:
5 degrees
Step-by-step explanation:
This week in order:
65, 71, 73, 73, 73, 74, 75 (Median= 73)
Last week in order:
51, 62, 66, 68, 72, 72, 85 (Median= 68)
73-68 is 5
Answer:
5 degrees
Step-by-step explanation:
Write the addition modeled on the number line.
I need help please thank you
Answer:
The correct answer is x = -4
Step-by-step explanation:
Step 1: 8x + 1 = -31 <----- This is the original equation.
Step 2: 8x + 1 - 1 = -31 - 1 <----- Subtract 1 from both sides.
Step 3: 8x = -32 <----- Simplify
Step 4: 8x/8 = -32/8
x = -4
Hope this helps! :D
pls help me!!
Which two equations are equivalent?
y= 1/2x+3
y=x+6
2y=x+6
Answer:
first and third
Step-by-step explanation:
Consider
y = [tex]\frac{1}{2}[/tex] x + 3 ( multiply through by 2 )
2y = x + 6 ← third equation
Answer:
the first and last equation
Step-by-step explanation:
expand the expression 7(x-2)
Answer: 7x-14
Step-by-step explanation:
7(x-2)
7x-14
Skylar works at a car dealership and earns a commission
on every car she sells. Monday she sold a car for
$14,500 and earned a commission of $942.50. What is
Skylar's commission rate for each car she sells?
Answer: 6.5%
Step-by-step explanation:
rate of commission, r is :
942.50/14500=0.065
0.065*100=6.5
The person, who is 5 feet tall, wants to calculate the height of the flagpole. Use proportions to solve the problem. Show your work.
Answer:
15 ft
Step-by-step explanation:
using geometry, we can find that the triangles are proportional, so if 8:24::5:15. 24/8=3, so do 5×3
i require help (why this stuff so hard)
Answer:
x should be -3
Step-by-step explanation:
f(x) = 5/3x + 10
f(-3) = (5*-3)/3 + 10
f(-3) = -15/3 + 10
f(-3) = -5 + 10
f(-3) = 5
g(x) = -2x - 1
g(-3) = -2(-3) - 1
Negatives cancel out
g(-3) = 2(3) - 1
g(-3) = 6 - 1
g(-3) = 5
5 is equal to 5, so x should be -3 in this case.
how far apart were her highest and lowest scores
Answer:
effort and studying were her highest and lowest scores because studying look for the book many get complete
Match each positive or negative value with the situation that describes it
Answer:
1.) -10
2.) 10
3.) -27
4.) 27
5.) -8
6.) 8
What is the solution to the equation 3x+1-6x=72
Answer:
hope this helps
Step-by-step explanation:
Answer:
=−71/3
Step-by-step explanation:3
+
1
−
6
=
7
2
{\color{#c92786}{3x}}+1{\color{#c92786}{-6x}}=72
3x+1−6x=72
−
3
+
1
=
7
2
{\color{#c92786}{-3x}}+1=72
−3x+1=72
2
Subtract
1
1
1
from both sides of the equation
−
3
+
1
=
7
2
-3x+1=72
−3x+1=72
−
3
+
1
−
1
=
7
2
−
1
-3x+1{\color{#c92786}{-1}}=72{\color{#c92786}{-1}}
−3x+1−1=72−1
3
Simplify
Subtract the numbers
Subtract the numbers
−
3
=
7
1
-3x=71
−3x=71
4
Divide both sides of the equation by the same term
−
3
=
7
1
-3x=71
−3x=71
−
3
−
3
=
7
1
−
3
−3−3x=−371
5
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=−71/3
x=-\frac{71}{3}
x=−371
select all which are equivalent to:
5^1/3 x 25^1/3
Note:
You missed adding the answer options.
But, I am solving the given expression to determine its equivalent so that you could get an idea and could easily determine all the options which would be equivalent to the result we would get.
Answer:
[tex]5^{\frac{1}{3}}\:\times 25^{\frac{1}{3}}=5[/tex]
Step-by-step explanation:
Given the expression
[tex]5^{\frac{1}{3}}\times \:25^{\frac{1}{3}}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^mb^m=\left(ab\right)^m[/tex]
[tex]5^{\frac{1}{3}}\times \:25^{\frac{1}{3}}=\left(5\times \:25\right)^{\frac{1}{3}}[/tex]
[tex]=125^{\frac{1}{3}}[/tex]
[tex]\mathrm{Factor\:the\:number:\:}\:125=5^3[/tex]
[tex]=\left(5^3\right)^{\frac{1}{3}}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc}[/tex]
[tex]=\left(5^3\right)^{\frac{1}{3}}=5^{3\times \frac{1}{3}}=5[/tex]
Thus,
[tex]5^{\frac{1}{3}}\:\times 25^{\frac{1}{3}}=5[/tex]
Please some-one help!
Given: m∠JNM =4x+6m ∠KNL = 7x−21
What is the m∠JNM ?
Answer:
x = 5
Step-by-step explanation:
If it's a number by itself then that's right cuz JNM and KNL is equal, so u do 4x + 6 = 7x - 21. When u do that, u get x = 5.
Simplify the expression below.
2x – 4y + 6 + 3x – 9y – 4
Answer:
5x - 13y + 2
Step-by-step explanation:
Given: 2x – 4y + 6 + 3x – 9y – 4
Combine all like terms:
5x - 13y + 2
The solution of expression after simplification is,
⇒ 5x - 13y + 2
We have to given that,
An expression to simplify as,
⇒ 2x - 4y + 6 + 3x - 9y - 4
Now, We can simplify the expression by combining the like terms as,
⇒ 2x - 4y + 6 + 3x - 9y - 4
⇒ 2x + 3x - 4y - 9y + 6 - 4
⇒ 5x - 13y + 2
Therefore, The solution of expression after simplification is,
⇒ 5x - 13y + 2
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HELP I am really confused and this is an easy question
Answer:
It is corresponding Angle
Step-by-step explanation:
Plz mark brainliest
Brainlest if you anwser correctly!, and 5 stars with a thanks :)
Answer: can u please clear the screen more? I will answer it just clear the screen please I can’t see it
Step-by-step explanation: