A function f is odd and f(x)=x^2 for all x>0. Sketch the graph of of this function and then write the rule of the function as a single formula
Pls solve I put 77 points ito this
Answers
The odd function is:
f(x) = sgn(x)*x^2
And the graph can be seen at the end.
How to get the formula of the function?
An odd function has the property:
f(-x) = -f(x).
In this case, for x > 0 we have:
f(x) = x^2
Notice that if we evaluate that in a negative number, we get:
f(-2) = (-2)^2 = 2^2 = f(2)
So, this is actually even.
To transform it into an odd function, we can multiply it by the sign function:
f(x) = sgn(x)*x^2
Now, when x is negative, the outcome will be negative, so the function is odd. The graph can be seen below.
If you want to learn more about odd functions:
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Related Questions
Ashley has scored 81, 74, 72, and 93 on her previous four tests. What score does she need on her next test so that her average (mean) is 79?
Answers
Answer:
75
Step-by-step explanation:
Add 81, 74, 72, and 93 together
add 75 to that total
divide by 5
How many solutions are there to the equation below?
√x = -5
A. 2
OB. 1
OC. 0
OD. 25
Answers
A square root cannot be equl to a negative.
answer: C. 0
Which of the following functions is graphed below?
Answers
Answer:
b
Step-by-step explanation:
if x is a positive integer, what is the length of the hypotenuse triangle C?
Answers
Answer:
c = 12.73
Step-by-step explanation:
a^2 + b^2 = c^2
9^2 + 9^2 = c^2
81 + 81 = c^2
162 = c^2
c = [tex]\sqrt{162}[/tex]
c = 12.7279221
c = 12.73
Mark brainliest please!
An odd degree has no maximum or minimum. True or False?
Answers
Answer:
answer is false in my opinion not sure
Pls Help Me
Pls show your work pls and thank you
Answers
Answer:
DWest I think
Step-by-step explanation:
Someone else asked this and this is what they think and it seems right
Martin orders a pasta dish that is priced at $11.99. He also orders a drink. The total cost for the pasta and drink is $14.48. Which of the following equations can be used to find the cost of the drink?
Answers
Answer:
14.48=11.99+y
or
y=14.48-11.98
Step-by-step explanation:
it should be one of these (the variable might be different)
y is the price of the drink
There are 20 train cars and 182 wheels how many wheels per car
Answers
To recheck answer we do 9.1x20 which gives us 182
help me please ss'” -+=%%
Answers
Answer: 1, 15families, 26cars, Mean 1.7
Step-by-step explanation:2families had no car. 5families had 1 car, 4families had 2cars, 3families Had 3cars, 1 family had 4cars
Total 15families and 26 cars
Modal number of cars is 1, owned by 5families
what’s the answer to this
Answers
shannon purchased a quilt at the farmers market. the area of the quilt 9 1/3 meters. the width is 2 4/5. what is the length of the rug in meters
Answers
length = 3 1/3 m
hope it helps...!!!
Solve the equation 25z2 + 140 = −29 by using square roots.
A. z = ±13/5
B. z = ±29/5
C. no real solutions
D. z = ±7/5
Answers
Answer:
Option C, no real solutions
Step-by-step explanation:
Step 1: Subtract 140 from both sides
[tex]25z^2 + 140 = -29[/tex]
[tex]25z^2 + 140 -140 = -29 -140[/tex]
[tex]25z^2 = -169[/tex]
Step 2: Divide both sides by 25
[tex]\frac{25z^2}{25} = \frac{-169}{25}[/tex]
[tex]z^2 = -6.76[/tex]
Step 3: Square root both sides
[tex]\sqrt{z^2} = \sqrt{-6.76}[/tex]
Since we are trying to square root a negative it would cause imaginary solutions so in conclusion we have no real solutions.
Answer: Option C, no real solutions
Find the area of this trapezoid. Be sure to include the correct unit in your answer.
Answers
Answer: [tex]92 \text{ yd}^2[/tex]
=======================================================
Work Shown:
[tex]A = \frac{h(b_1+b_2)}{2}\\\\A = \frac{8(19+4)}{2}\\\\A = \frac{8(23)}{2}\\\\A = \frac{184}{2}\\\\A = 92\\\\[/tex]
The [tex]b_1[/tex] and [tex]b_2[/tex] are the parallel bases, while h is the height perpendicular to each base.
The units are in square yards, abbreviated as [tex]\text{yd}^2[/tex]
Think of a 1 yard by 1 yard square that has an area of [tex](1 \text{ yd})*(1 \text{ yd}) = (1)^2(\text{yd})^2 = 1 \text{ yd}^2[/tex]
The side of 9 yards is never used and put in there as a distraction.
Austin rented a truck for one day. There was a base fee of 14.95 and there was an additional charge of 95 cents for each mile driven. Austin had to pay 130.85 when he returned the truck. For how many miles did he drive the truck
Answers
Answer:
122 miles
Step-by-step explanation:
Let n = number of miles driven
Given:
Base fee = $14.95Charge per mile = $0.95Total cost = $130.85⇒ 14.95 + 0.95n = 130.85
Subtract 14.95 from both sides:
⇒ 0.95n = 115.90
Divide both sides by 0.95
⇒ n = 122
Therefore, he drove 122 miles.
James filled a number of bags with apples when he went apple picking. He recorded the weight of each bag. This line plot shows his results.
How much more does one of the heaviest bags weigh than one of the lightest bags?
Enter your answer as a mixed number in simplest form
Answers
The number of more does one of the heaviest bags weigh than one of the lightest bags filled by James with apples is 5/4.
What is dot plot or line plot?The dot plot is the way of representation of the data. This data is plotted in the form of points or dots over an x-y axis. The dot plot is also known as the strip plot.
The number of more does one of the heaviest bags weigh than one of the lightest bags filled by James with apples is
James filled a number of bags with apples when he went apple picking. He recorded the weight of each bag. This line plot shows his results.
Note that the value of 1/4 is 0.25 which is less than the value of 1/2 which is 0.5.The value of 3/4 is 0.75.In the line plot, in the 6th section, we get the highest value as 5 1/2. Similarly, the lowest value in the line plot is 4 1/4.
The difference between these values is,
[tex]d=5\dfrac{1}{2}-4\dfrac{1}{4}\\d=\dfrac{5\times2+1}{2}-\dfrac{4\times4+1}{4}\\d=\dfrac{10+1}{2}-\dfrac{16+1}{4}\\d=\dfrac{11}{2}-\dfrac{17}{4}\\d=\dfrac{11\times2-17}{4}\\d=\dfrac{5}{4}[/tex]
Thus, the number of more does one of the heaviest bags weigh than one of the lightest bags filled by James with apples is 5/4.
Learn more about the dot plot here;
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On the last day of each school year, the principal of a middle school records the number of students enrolled. In 2016, there were 960 students enrolled Excem 2016 to 2017, enrollment increased by 5%. From 2017 to 2018, enrollment decreased by approximately 5%. How many students were enrolled in the school at the end of 2018?
A) 864
B) 958
C) 960
D) 1,056
Answers
Answer:
D
Step-by-step explanation:
i hope you uderstand stand why it D
Solve the equation. Write your answer as an integer or simplified fraction.
8n−9 n−2 =17
n=
Answers
Answer:
n = - 19
Step-by-step explanation:
8n - 9n - 2 = 17 , that is
- n - 2 = 17 ( add 2 to both sides )
- n = 19 ( multiply both sides by - 1 )
n = - 19
from this year to ten years later, the number of people employed as physician assistants in the country is expected to increase by 47%. the number of people employed as physician assistants today is 69,000. Find the predicted number of physician assistants after ten years
Answers
Answer:
101430
Step-by-step explanation:
69000=100 what about 147%. 69000×147/100=101430Find the following in radians. You
should be able to do this without a
calculator.
cos-1 0
=
TT
?
Answers
By using the definition of the inverse cosine function, we will see that:
[tex]cos^{-1}(0) = pi/2[/tex]
How to complete the expression?
We have the expression:
[tex]cos^{-1}(0) = \frac{pi}{?}[/tex]
Remember that if:
[tex]cos(x) = y\\\\cos^{-1}(y) = x[/tex]
Then, in what do we need to evaluate the cosine function to get an output equal to zero?
[tex]cos( pi/2) = 0[/tex]
Then:
[tex]cos^{-1}(0) = pi/2[/tex]
Then we can replace the question sign with a 2.
If you want to learn more about the cosine function, you can read:
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1
Select the correct answer.
To solve this system of equations using substitution, what could be substituted in place of y in the first equation
4x=5-2y
y-2x=7
ОА.
7 - 2x
ОВ.
41
5
OC.
5 - 41
2
OD.
2x + 7
Reset
Next
Answers
The expression y = 7 + 2x can be substituted into the first equation to find the variable "x"
System of equationSystem of equation are made of two or more equations with unknowns
Given the system of equation
4x=5-2y
y-2x=7
From equation 2:
y = 7 + 2x
The expression y = 7 + 2x can be substituted into the first equation to find the variable "x"
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Jackie had both chocolate cake and coconut cake at her birthday party. There were 25 people at the party, and 40% of them picked chocolate cake. How many people picked chocolate cake?
AND PLEASE NO LINKS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
What are the vertex, focus, and directrix of the parabola whose equation is y-5= 1/12 (x-3)^2
Answers
Answer:
Vertex: (3,5)
Focus: (3,8)
Directrix: y = 2
Step-by-step explanation:
Get y by itself by adding 5 over to the other side. The equation is now y = 1/12(x-3)^2 + 5.
The value inside of the parentheses is -3. Since it's within the parentheses, switch the signs for the x value of the vertex. The "+ 5" represents the y value. Therefore the vertex is (3,5).
The value "a" on the parabola is 1/12. To find the distance from the vertex to the focus/directrix, use the equation a = 1/4p. 1/12 = 1/4p. p = 3. This parabola opens up, so "p" must be added onto the y value of the vertex for the focus. The focus is therefore (3,8).
For the directrix, subtract "p" from the y value of the vertex. The directrix is a horizontal line at y = 2.
First seven terms of the geometric series 5 - 25 +125-....
Answers
For each term, you multiply the previous term by 5, alternation between subtracting and adding
Which of the following was NOT one of Ghana's chief trading exports?
A. Gold
B. Ivory
C. Horses
Answers
slaves is the correct answer
step by step subtraction Mayan: 208 - 75
Answers
Answer:
133
Step-by-step explanation:
Suppose we have already saved $55 towards the cost of a new television set. We plan to save $6 more each week for the next several weeks. i) Write an equation for the total amount T we will have after w weeks from now. ii) Find the total amount that would be saved after 8 weeks.
Answers
Answer:
$103
Step-by-step explanation:
T = 6w + 55
T = 6(8) + 55
T = 48 + 55
T = 103
BRAINLIEST please if this helped!What are the missing numbers in this series: 10,16,21,26,31,
Answers
Answer:
38
Step-by-step explanation:
16 - 10 = 6
21 - 16 = 5
26 - 21 = 4
31 - 26 = 5
31 + 6 = 38
The next missing number is 38.
From there, continue the pattern.
Solve for x: −2(x − 2)2 + 5 = 0 Round your answer to the nearest hundredth.
Answers
Answer:
x = 3.25
Step-by-step explanation:
-2(x - 2) * 2 + 5 = 0
Open parathesis
(-2x + 4) * 2 + 5 = 0
Open parenthesis again
-4x + 8 + 5 = 0
-4x + 13 = 0
-4x = -13
Divide -4 on both sides
x = 13/4
x = 3.25
Answer:
-4x+8+5=0
-4x=-13
4x=13
x= 13/4
x=3.25
How do I solve this on my calculator to get the radius?
Answers
Answer:
step by step lang Po keep learning
Evaluate 5(a•4)+ b, 1 when a=-andb=12. 3 O A) 14 3 OB) 17 2 O C) 18 3 OD) 27
HELP ASAP
Answers
Evaluate 5(a•4)+ b, when a = 1/3 and b=12
The Answer is
C. 18 2/3hope it's help hshshs