Answer:
1,090
Step-by-step explanation:
WILL GIVE BRAINLIEST PLEASE HELP FAST!! Write the function f(x)= 2x3+1+x2 x2−9 as a sum of two functions g(x) and h(x), where g is an odd function and h is an even function.
f(x) = (2x³ + 1 + x²)/(x² + 9) as a sum of two functions g(x) and h(x), where g is an odd function and h is an even function is f(x) = 2x³/(x² + 9) + (1 + x²)/(x² + 9).
To answer the questions, we need to know what functions are
What are functions?A function is a mathematical expression that shows the relationship between two variables.
Types of functionOdd functions - These are functions in which f(-x) = -f(x)Even functions - These are functions in which f(-x) = f(x)Neither - When the function is neither even nor odd.Since f(x) = (2x³ + 1 + x²)/(x² + 9).
The odd part of f(x)Its odd part g(x) = [f(x) - f(-x)]/2
So, g(x) = [f(x) - f(-x)]/2
= [(2x³ + 1 + x²)/(x² + 9) - (2(-x)³ + 1 + (-x)²)/((-x)² + 9)]/2
= [(2x³ + 1 + x²)/(x² + 9) - (-2x³ + 1 + x²)/(x² + 9)]/2
= (2x³ + 1 + x² + 2x³ - 1 - x²)/2(x² + 9)
= 4x³/2(x² + 9)
g(x) = 2x³/(x² + 9)
The even part of f(x)
Its even part h(x) = [f(x) + f(-x)]/2
So, h(x) = [f(x) + f(-x)]/2
= [(2x³ + 1 + x²)/(x² + 9) + (2(-x)³ + 1 + (-x)²)/((-x)² + 9)]/2
= [(2x³ + 1 + x²)/(x² + 9) + (-2x³ + 1 + x²)/(x² + 9)]/2
= (2x³ + 1 + x² - 2x³ + 1 + x²)/2(x² + 9)
= 2(1 + x²)/2(x² + 9)
h(x) = (1 + x²)/(x² + 9)
So, f(x) = g(x) + h(x)
f(x) = 2x³/(x² + 9) + (1 + x²)/(x² + 9)
So, f(x) = (2x³ + 1 + x²)/(x² + 9) as a sum of two functions g(x) and h(x), where g is an odd function and h is an even function is f(x) = 2x³/(x² + 9) + (1 + x²)/(x² + 9).
Learn more about odd and even functions here:
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Answer:
[tex]g(x)=\frac{2x^{3} }{x^{2} -9}[/tex]
[tex]h(x)=\frac{x^{2}+1 }{x^{2} -9}[/tex]
Step-by-step explanation:
'x² - 9' is an even.
Break up the numerator into odd an even parts to get your answer.
'2x³' is odd and 'x² + 1' is even.
[tex]g(x)=\frac{2x^{3} }{x^{2} -9}[/tex]
[tex]h(x)=\frac{x^{2}+1 }{x^{2} -9}[/tex]
Define then compare and contrast diverges and converges.
Answer:
Convergence is defined as the movement of two forces together while divergence implies the movement of two forces apart. In the world of economics, finance, and trading, divergence and convergence describe the directional relationship between two trends, prices, or indicators.
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
y = 8 , x = 15
Step-by-step explanation:
[tex]\frac{24}{51}= \frac{y}{17} \\[/tex]
Cross Multiply.
51 * y = 24 * 17
Then solve for y.
[tex]y=\frac{24*17}{51}[/tex]
y = 8
Same thing for the x.
[tex]\frac{45}{51}=\frac{x}{17}[/tex]
Cross Multiply.
51 * x = 45 * 17
Solve for x.
[tex]x=\frac{45*17}{51}[/tex]
x = 15
Convert the unit of length. Round the answer to one decimal place if necessary. Assume 1 yd ≈ 0.914 m.
8m≈ yd
8m≈________ yd ?
Answer:
8.75
Step-by-step explanation:
I divided 8 by .914 and got and estimate of 8.75
IM STUCK CAN SOMEBODY HELP ME
Answer:
-16.15
Step-by-step explanation:
the variable in the equation means that it is ever changing, in this case, ever decreasing.
Select all of the triangles below which are translations of triangle X.
All the triangles below which are translations of triangle X are,
⇒ A, B, D, E, F
What is Translation?A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
Since, A translation of a triangle is moving it up down or side to-side on the axis, not changing the shape flipping it or the orientation.
Hence, By all the graphs;
All the triangles below which are translations of triangle X are,
⇒ A, B, D, E, F
Thus, All the triangles below which are translations of triangle X are,
⇒ A, B, D, E, F
Learn more about the transformation visit:
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#SPJ2
Answer:
A, F
Step-by-step explanation:
The only two images that are just translations of triangle X are A and F.
Triangles A and F are obtained by moving triangle X some combination of up, down, left, and right. That is just a translation.
All other triangles shown involve something else in addition to a translation such as a reflection, rotation, or dilation.
Answer: A, F
Find the sum of -2 + 3i and -1- 2i.
Answer:
-3+i
Step-by-step explanation:
Collect like terms
-2-1=-3
+3i-2i=i
-3+i
There is a juice bar at the gym. Fiona has a gift card that has a balance of $30. Each time she
buys a bottle of her favorite juice, $3 is deducted from her card. Chester also has a gift card.
The equation y=20 - 5x represents y, the balance, in dollars, left on his card after he has
bought x of his favorite bottles of juice.
Who had a greater initial amount of money on their card, Fiona or Chester? Whose balance
decreases at a faster rate every time he or she buys his or her favorite juice? Use the space
below for your work. Explain.
Answer:
y=mx+b. slopes.
Fiona's equation is y=-3x+30. She will have no money after buying 10 of her favorite drink. She starts with $30 and loses $3 each time. She loses at a slower rate than Chester.
Chester's equation is y=-5x+20. He will have no money after buying 4 of his favorite drink. He starts with $20 and loses $5 each time. He loses at a faster rate than Fiona.
find the equation of line that passes through the point (4,-5) and the slope 5/4
Answer:
[tex]\boxed{\sf{y=\dfrac{5}{4}x-10 }}[/tex]
Step-by-step explanation:
To find the equation of line, you have to use a slope and slope-intercept formula.
Slope formula:
[tex]\Longrightarrow:\sf{\dfrac{y_2-y_1}{x_2-x_1} }[/tex]
Slope-intercept formula:
[tex]\Longrightarrow:\sf{y=mx+b}[/tex]
M represents the slope.B represents the y-intercept.So, the slope is 5/4.The y-intercept is -10.Rewrite the problem down.
y=5/4x-10
So, the correct answer is y=5/4x-10.I hope this helps you! Let me know if my answer is wrong or not.
Identify the vertex of this quadratic function
Answer:
Step-by-step explanation:Well first figure out the a b and c for ax^2+bx+c the apply by substituting using the quadratic formula.Then you should get youre answer.
Answer:
Your answer is -2,-3
Step-by-step explanation:
Select all of the expressions that have a value of 18.
A) 324 ÷ 18
B) 468 ÷ 26
C) 724 ÷ 40
D) 1,062 ÷ 59
E) 1,071 ÷ 60
Pls show work!!
Answer:
A,B,C
Step-by-step explanation:
Just divide them hope this helps x
All of the following are TRUE about CPR/AED EXCEPT:
A. CPR is used in emergency situations like a heart attack and near drowning.
B. CPR combines chest compressions and rescue breathing to increase the chance of survival.
C. CPR is guaranteed to keep a person alive until medical personnel arrive.
D. The use of an AED helps to restart the heart's natural rhythm.
Answer:
All are true except C. CPR is not a guarantee to keep someone alive till help arrives. Unfortunately some people die before help gets there regardless of the CPR.
PLEASE HELP FOR EACH OF THE FIGURES, WRITE AN ABSOLUTE VALUE EQUATION
The solution set 0 and 8 are the true values of the absolute value equation
The absolute value equation that has the a solution set of 0 and 6 is |x - 3| = 3
How to determine the absolute value equation?From the figure, the solution sets of the absolute value equation are given as:
x = {0, 6}
Calculate the mean of the solution set
Mean = 0.5 * (0 + 6)
Mean = 3
Calculate the difference of the solution set divided by 2
Difference = (6 - 0)/2
Difference = 3
The absolute value equation is the represented as:
|x - Mean| = Difference
Substitute known values
|x - 3| = 3
Hence, the absolute value equation that has the a solution set of 0 and 6 is |x - 3| = 3
Read more about absolute value equation at:
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Answer:
|x-3|=3
Step-by-step explanation:
A coordinate plane with 3 points plotted at (10, 18), (14, 24), and (18, 30).
Which statement describes the function through the points?
Answer:
They are all even
Step-by-step explanation:
What was the most number of minutes someone took to eat breakfast? (type number only) *
.
0 1 2 3 4 5 6 7 8 9 10 11 12
Minutes To Eat Breakfast
In the U.S. it is implied that two-year schools (community colleges) are “a bargain” compared to 4-year institutions. Complete a two-sample test. Test that the “average cost of state universities is greater than the average cost of community colleges”. To perform this test, you will use the average cost of in-state tuition from your sample data of state universities. ($10,472) You will also need to find the mean and standard deviation from the random sample of community colleges provided below. To find the mean and standard deviation for the community colleges data, plug the values into L1 and run 1-varstats. The mean is x-bar and make sure to use sample standard deviation, Sx. Assume variances are NOT equal as is done in the example on page 430. Complete a two-sample test at α = 0.05. WRITE AN INTERPRETATION OF YOUR RESULT. use either the p-value decision rule or rejection region. show all work by hand (If you establish in the hypothesis that 1 is the universities and 2 is community colleges make sure that your x-bar 1 and x-bar 2 also reflect those same categories. ) In hypothesis tests, I am looking for the correct conditions, hypotheses, model of either decision rule (draw out the normal distribution with correct shading of either p-value or rejection region), correct formula for the standardized test statistic with all values plugged in correctly, correct decision based on your p-value or standardized test statistic, and correct interpretation of your findings.
In-State Tuition
Amarillo College
2,538.00
Blue Ridge Community College
4,098.00
Bunker Hill Community College
3,384.00
Camden County College
1,650.00
Delta College
2,400.00
Eastern Wyoming College
2,280.00
Ellsworth Community College
3,960.00
Finger Lakes Community College
3,894.00
Granite State College
6,810.00
Massachusetts Bay Community College
3,624.00
Rock Valley College
2,970.00
San Antonio College
3,632.00
Answer: I got the same question, did u get the answer?
Step-by-step explanation:
Test help picture below problem 19 21
Step-by-step explanation:
PROBLEM 19
(side 1)² + (side 2)² = (hypo)²
56² + (side 2)² = 61²
3136 + (side 2)² = 3721
(side 2)² = 3721 - 3136
(side 2)² = 585
side 2 = root 585
side 2 = 24.1867732449
side 2 = 24.2cm
E. Parallelogram
reason
opposite sides are parallel
MARK ME AS BRAINLISTWhat is the simplest form of the quotient? Simplify by rationalizing the denominator.
[tex]\frac{\sqrt{3x^{12} y^{10}}}{\sqrt{5x^{6} y^{3}}}[/tex]
A. [tex]5x^{3} y^3 \sqrt{15y}[/tex]
B. [tex]\frac{x^3 y^3 \sqrt{15y} }{5}[/tex]
C. [tex]\frac{\sqrt{15x^{18} y^{13}}}{5x^6 y^3}[/tex]
D. none of these
Answer:
[tex]5x^{3} y^3 \sqrt{15y}[/tex] is the right answer and other are wrong
Gifts are packaged in cylinders.
Each cylinder is 12 cm high with a diameter of 8 cm.
Calculate the volume of each cylinder.
Use 3 as a value for at
Give your answer using the correct units.
Answer:
Step-by-step explanation:
V = [tex]\pi r^{2} h[/tex]
V = (3.14)(16)(12)
V = 50.24 cm³
i need help with this i will mark BRAINLIEST and give alot of points
Answer:
Below
Step-by-step explanation:
Diameter = 2r (r is radius) so the diameter is 40 inches
Circumference= 2pi r= 40pi or 125.663
Area= pi r^2= pi(20)^2= 400 pi pr 1256.637
Answer:
Diameter: 40 inches
Circumference: 40π, or ~125.66 inches
Area: 400π, or ~1256.64 inches
Step-by-step explanation:
Diameter is twice the radius, so 20×2 = 40 inches.
Circumference formula is C = 2πr, so plugging everything in, C = 2π×20,
and simplify, C = 40π, or C ≈ 125.66 inches.
Area formula is A = πr², so plugging everything in, A = π20², and then simplify, A = 40π, or A ≈ 1256.64 inches.
GIVING BRAINLIEST
What is the measure of angle x?
40 degrees
80 degrees
130 degrees
140 degrees
Answer:
140 degrees
Step-by-step explanation:
Since alternate angles are equal, corresponding angles are equal, a pair of interior angles on the same side of the transversal are supplementary, and angles on a straight line add up to 180 degrees, 40 + x must equal 180 degrees.
To find angle x in this instance, you would need to subtract 40 degrees from 180 degrees.
[tex]180-40=140[/tex]
Therefore, the answer is 140 degrees.
Answer:
my test said 140
Step-by-step explanation:
find the value of x 115 [5x+30]
Answer:
i assume the question is 115-5x=10
Step-by-step explanation:
if yes then the answer will be
-5x=125
-5x/-5=125/-5
x=25
Which statement is not true?
A. I7I = -7
B. I7I = 7
C. I5I= 5
D. I-5I = 5
Answer:
a
Step-by-step explanation:
absolute value means the distance from 0 and it has to be a positive number so the answer has to be a
I don’t understand how to do this! Could you help me step by step, please?
Answer: x=12
Step-by-step explanation: Combine Multiplied terms into a single fraction: 3 = 18 - 5/4 x 3 = 18 - -5/4x
Find common denominator: 3= 18+ -5/4x 3= 4 x 18/4 + -5x/4
Combine fractions with common denominator: 3= 4 x 18/4 + -5x/4 3=4 x 18/- 5x/4
It cost $4.68 for 3 pounds of chicken. What is the unit price? Solve
Answer:
$1.56
Step-by-step explanation:
4.68/3 = 1.56
Unit price is $1.56
Answer:1.56
Step-by-step explanation: 4.68/3=1.56
I’m really confused… feedback would be appreciated!
Answer: 13/34
Step-by-step explanation: In total there are 34 people
There are 13 professors and instructors.
That means that there is a 13/34 chance.
jack had m problems to complete during his vacation. (a) how many problems did jack solve per day? (b) suppose jack was solving 15 problems per day. (c) How many problems were assigned for homework
Jack's problems illustrates algebraic expressions
He solved m/5 problems everyday.75 questions were assigned in totalProblems solved per dayThe given parameter is:
Problems = m
From the complete question, we understand that all questions were solved in 5 days.
So, the number of questions solved per day is:
Daily = m/5
Number of problems in the assignmentWe have:
Daily = m/5
He solved 15 daily.
So, the equation becomes
m/5 = 15
Multiply both sides by 15
m = 75
Hence, 75 questions were assigned in total
Read more about expressions at:
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How to solve problems in different ways and how to do them correct and fast so that way I kneo
Answer:
[tex]Hi!~I~am~beinggreat78~and~I~will~help~you.\\[/tex]
To solve problems, you first must find the source of the conflict, and attempt to let the situation play out, or use a strategy yourself. To solve math problems, go by PEMDAS.
Parentheses 1stExponents 2ndMultiply 3rdDivide 4thAdd 5thSubtract 6thWith this strategy, PEMDAS, you can solve math problems quickly, and like a pro!
A supposed "lucky coin" is to be tested to see if it is unfair, that is, the proportion of "heads" results is not 50%. It is
flipped 100 times and found to land on heads only 41 times. Test the claim that the coin is unfair.
Answer:
you need question right why you didnt ask
Step-by-step explanation:
you have brainly search
The average distance between the Sun
and Mars is about 228 million km.
What is this distance in standard form?
Give your answer in kilometres (km)
Answer:
2.28 * 10^8 km.
Step-by-step explanation:
228,000,000
= 2.28 * 10^8 km.
