The given function is not the odd function.
According to the statement
We have to find about the odd function.
So, For this purpose, we know that the
The odd function is that the function f is odd if the subsequent equation holds for all x and −x within the domain of f : −f(x)=f(−x) − f ( x ) = f ( − x ) Geometrically, the graph of an odd function has rotational symmetry with relevance the origin, meaning that its graph remains unchanged after a rotation of 180∘ about the origin.
From the given information:
dimetri says that a function that's fabricated from terms where the variable is raised only to an odd power are going to be an odd function
Then
Algebraically, an odd function is one where f(-x) = -f(x). this suggests that if we substitute -x for each x within the function, it should be the identical as switching every sign up the function. This doesn't always work.
For example, if f(x)=x³+7:
f(-x)=(-x)³+7=-x³+7.
However, since the 7 did not become -7, it is not the same as -f(x), so it is not an odd function.
So, The given function is not the odd function.
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Help me please, find area these shapes, easy, I will give brainliest and points
Answer:
red - 1/2 × b × h
=1/2 × 3 × 4
= 6
green - 1/2 × b × h
= 1/2 × 4 × 4
= 8
convert 1264 base 8 to base 10
1264₈ = 1•8³ + 2•8² + 6•8¹ + 4•8⁰
1264₈ = (2³)³ + 2•(2³)² + 3•2•2³ + 2²
1264₈ = 2⁹ + 2⁷ + 3•2⁴ + 2²
1264₈ = 512 + 128 + 3•16 + 4
1264₈ = 692
After converting the base, 1264 base 8 is equal to 692 base 10.
To convert a number from base 8 (octal) to base 10 (decimal), we need to evaluate the value of each digit in the base 8 number and then calculate the equivalent decimal value.
Given the number 1264 in base 8, we can break it down into its digits:
1 * 8³ + 2 * 8² + 6 * 8 + 4 * 1
Simplifying this expression:
1 * 512 + 2 * 64 + 6 * 8 + 4 * 1
Evaluating the multiplication:
512 + 128 + 48 + 4
Adding the products together:
692
In summary, to convert a number from base 8 to base 10, we evaluate the value of each digit by multiplying it with the corresponding power of 8, and then sum up the results. This gives us the equivalent decimal value of the number.
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What is the slope of the line that passes through the points (-7, -2) and
(-2, -22)? Write your answer in simplest form.
Answer:
m = -4
Step-by-step explanation:
We are given the points (-7, -2) and (-2, -22), and we want to write the slope of the line.
The slope (m) can be calculated from two points using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points.
We already have everything we need to calculate the slope, however, let's label their values to help avoid any confusion and mistakes for later.
[tex]x_1=-7\\y_1=-2\\x_2=-2\\y_2=-22[/tex]
Now, substitute these values into the formula. Remember that the formula has subtraction, and we're dealing with negative numbers here.
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{-22--2}{-2--7}[/tex]
Simplify.
m=[tex]\frac{-22+2}{-2+7}[/tex]
Add.
m=[tex]\frac{-20}{5}[/tex]
Divide.
m = -4
The slope of the line is -4.
Topic: slope
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Can someone please help mee (20 points
brainliest!!!)
Answer:
16,300,000 viewers
Step-by-step explanation:
We have two ordered pairs and we can write an equation in the slope intercept form of the line from the information that we have.
y = mx + b y is the number of viewers and x in the number of minutes of ads.
m is the slope. That is the change in y over the change in x. We will use the two points given to find this.
(14, 10,000,000) (25, 17,000,000)
slope:
[tex]\frac{y{1}- y{2} }{x_{1}-x_{2} }[/tex] = [tex]\frac{17,000,000 - 10,000,000}{25-15}[/tex] =[tex]\frac{7,000,000}{10}[/tex] = 700,000
Now we need the b or the y-intercept. We will use the slope and one of the points to find this. We could use either point. I am going to use the point (15, 10,000,000)
y = mx + b
I will use 10,000,000 for y
I will use 15 for x
I will use 700,000 for the slope.
I will plug these numbers in and solve for b
10,000,000 = 700,000(15) + b
10,000,000 = 10,500,000 + b Subtract 10,500,000 from both sides
-500,000 = b
Now we can write the equation
y = mx + b
y = 700,000x -500,000 Plug is the 24 for x to solve for the number of views.
y = 700,000(24) -500,000
y = 16,800,000 - 500,000
y = 16,300,000
10. The average age of 4 boys is 14 years, when one boy leaves the group, the average age of the remaining boys becomes 15 years. How old is the 4th boy?
Answer: the 4th boy is 11
Step-by-step explanation:
Let's denote the age of the boys as: x₁, x₂, x₃, x₄.
Then,
[tex]\displaystyle\\\frac{x_1+x_2+x_3}{3}=15[/tex]
Multiply both parts of the equation by denoting by 3:
x₁+x₂+x₃=15(3)
x₁+x₂+x₃=45
Hence,
[tex]\displaystyle\\\frac{x_1+x_2+x_3+x_4}{4} =14\\\\\frac{(x_1+x_2+x_3)+x_4}{4} =14\\\\\frac{45+x_4}{4}=14[/tex]
Multiply both parts of the equation by denoting by 4:
45+x₄=14(4)
45+x₄=56
45+x₄-45=56-45
x₄=11
Hans needs to rent a moving truck. Suppose Company A charges a rate of $40 per day and Company B charges a $60 fee plus $20 per day. for what number of days is the cost the same. Please also explain how you got the answer
Answer: x=3
Step-by-step explanation:
1. Hans needs to rent a moving truck. Suppose Company A charges $40.00 per day and Company B charges a $60.00 fee plus $20.00 per day, for what number of days is the cost the same?
Let x = # of days, since Company A charges $40/day then cost after x days = 40x
Let x = # of days, since Company B charges $20/day plus $60 fee, then cost after x days = 20x + 60
a. For what # of days is the cost the same?
When the cost is the same => 40x = 20x + 60
40x - 20x = 60
20x = 60
x = 60/20
x = 3
The cost is the same after 3 days.
Checking:
$40(3) = $20(3) + $60
$120 = $60 + $60
$120 = $120
5) 2(n + 5) = 20
what is the answer need immediately
PLEASE ANSWER QUICK
Evaluate the expression when n = 3:
−|−4n|
Answer:
12
Step-by-step explanation:
-4 X 3 =-12
=-(-12)
=12
the price of a tv is £950 plus VAT at 20% .what is the total cost of the TV?
1140 is the final price.
Step-by-step explanation: 20% of 950 is 190, so add that to 950 and you get 1140
-14<4x+6<18
Please break it down for me
Basically, this is a domain. Well, a condition.
It's saying that any value that you subsitute in x , which is then multiplied by 4 and added 6, must ALWAYS be greater than -14, but lesser than 18.
x=7 y=4 HELP I WILL GIVE BRAINLIEST.
362x+836y+918334
Answer: 924212
Step-by-step explanation:
362x+836y+918334
362(7)+836(4)+918334
(362 x 7) + (836 x 4)+918334
what are the probabilities that the three subsystems, as well as the entire system, are operational?
Three subsystems are reliability-wise in series and make up a system. Subsystem 1 has a reliability of 99.5%, subsystem 2 has a reliability of 98.7% and subsystem 3 has a reliability of 97.3% for a mission of 100 hours.
We suppose that the system consists of one operating series subsystem, an identical stand-by subsystem, and a switch. Each subsystem consists of N components.
When the operating subsystem fails, the spare is put in motion by the switch immediately. The failed subsystem is restoring or changing the failed component. Because of the memoryless property of the exponential distribution of components lifetime, the renewal of a failed element means the renewal of the whole subsystem. We assume that there is a single repair facility. A renewal time is a random variable having distribution depending on a failed component. We suppose that the lengths of restoring periods of components are represented by identical copies of nonnegative random variables.
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What is the equation of the given line?
y = 5
x = 3
x = 1
y = 3
Answer:
y=x+2
Step-by-step explanation:
use the formula y=mx+c
first u find m which is the gradient 3-1/5-3 = 2/2=1
sub in any point to find the c
5=1(3)+c
c=2
y=1x+2
a rectangle has perimeter 24 m. express the area a of the rectangle as a function of the length, l, of one of its sides.
The Expression for the Area a of the rectangle as a function of length L is given by A(L) = 12L - L^2 .
Let,
length, L, and the width, W, are components that help determine the area, A, and the perimeter, P of the rectangle. These are given by the following equations
A=LW
P=2L+2W
Given,
Perimeter of the Rectangle = 24m.
We are asked to express the perimeter of the rectangle as a function of the length, L, of one of its sides.
We will first set up the equation of the Perimeter of the rectangle. We can let the width of the rectangle be W.
P = 2L+2W
24 = 2L+2W
12 = L+W
W = 12-L
Since we want to express the Area as a function of L, we have to find the value of W in terms of L. This is so we can eliminate the width in the equation for the Area. The Area as a function of L is as follows.
A(L, W) = LW
A(L) = L(12-L)
A(L) = 12L-L^2
Therefore, the Area as a function of L is given by A(L) = 12L-L^2.
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pls solve this question step by step
Answer:
a) 50, b) -40, c) 3Step-by-step explanation:
Arithmetic mean is the average of the numbers.
a) (40 + 60)/2 = 100/2 = 50b) (- 60 - 20)/2 = - 80/2 = - 40c) (7/3 + 11/3)/2 = (18/3)/2 = 6/2 = 3Formula we use is,
→ Mean = (x + y)/2
a) 40 and 60 = ?
→ (40 + 60)/2
→ 100/2 = 50
Thus, the mean is 50.
b) -60 and -20 = ?
→ (-60 - 20)/2
→ -80/2 = -40
Thus, the mean is -40.
c) (7/3) and (11/3) = ?
→ ((7/3) + (11/3))/2
→ (18/3)/2
→ 6/2 = 3
Thus, the mean is 3.
Ava read a total of 40 books over 5 months. If Ava has read 72 books so far, how many months has she been with her book club? Assume the relationship is directly proportional.
========================================================
Explanation:
She read 40 books over 5 months. This means her unit rate is 8 books per month (since 40/5 = 8)
x = number of months
(unit rate)*(number of months) = total books read
8x = 72
x = 72/8
x = 9
-------------
Another way to solve
(40 books)/(5 months) = (72 books)/(x months)
40/5 = 72/x
40x = 5*72 ... cross multiplying
40x = 360
x = 360/40
x = 9
water main construction a water main is to be constructed with a 20% grade in the north direction and a 10% grade in the east direction. determine the angle θ required in the water main for the turn from north to east.
The value of the angle θ required in the water main for the turn from north to east is 87.40°.
According to the statement
We have to find that the value of the angle.
So, For this purpose, we know that the
An angle is created when two straight lines or rays meet at a standard endpoint.
From the given information:
a main is to be constructed with a 20% grade within the north direction and a tenth grade within the east direction.
Then
Let n = North
and e = east
Then
using vectors,
n = j + 0.20 k
e = i + 0.25 k
And the
n · e = 1x0 + 0x1 + 0.20×0.25 = 0.05
Now take magnitude then
|n|·|e| = i(1² + 0.20²)·i(1²+0.25²) = 1.105
Now,
E° = arccos((n · e)/|n|·|e|)
E° = arccos(0.05/1.105)
E° = arccos (0.0452)
E° = 87.40°
So, The value of the angle θ required in the water main for the turn from north to east is 87.40°.
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Given L is between N and M, NL = 6x - 5, LM = 2x + 3, and NM = 4x + 9. Determine if L is the midpoint of segment MN. Justify your answer using sound mathematical reasoning.
Answer: L isn't the midpoint of segment MN.
Step-by-step explanation:
NL+LM=NM
6x-5+2x+3=4x+9
8x-2=4x+9
8x-2+2=4x+9+2
8x=4x+11
8x-4x=4x+11-4x
4x=11
Divide both parts of the equation by 2:
2x=5.5
NL=6x-5
NL=(2x)(3)-5
NL=(5,5)(3)-5
NL=16.5-5
NL=11.5
LM=2x+3
LM=5.5+3
LM=8.5
NL≠LM
Hence, L isn't the midpoint of segment MN.
In summary, based on the given lengths and mathematical reasoning, we have determined that point L is the midpoint of segment MN because the lengths of NL and LM are equal when x = 2.
We must compare the lengths of the two segments NL and LM and see if they are identical in order to establish whether point L is the midpoint of segment MN.
NL = 6x - 5
LM = 2x + 3
The lengths of NL and LM ought to be equal if L is the middle of segment MN. To put it another way, NL and LM ought to be equal.
Constructing the equation
6x - 5 = 2x + 3
Now, solve for x:
6x - 2x = 3 + 5
4x = 8
x = 2
As soon as we know the value of x, we can put it back into the NL and LM formulas to get their lengths at x = 2:
NL = 6x - 5 = 6 * 2 - 5 = 12 - 5 = 7
LM = 2x + 3 = 2 * 2 + 3 = 4 + 3 = 7
The lengths of NL and LM are both 7 units.
Point L is in fact the middle of segment MN because both segments NL and LM have similar lengths.
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What is the value of the digit 7 in the population of Memphis? What is the value of the digit 1 in the population of Denver? How many times as great as the value of the digit 1 in the population of Cleveland in this value?
PLSS HELP IT WILL MAKE ME FAIL
The number of times that the value of the digit 1 in the population of Cleveland in this value is 10.
How to illustrate the information?Based on the information, it should be noted 7 is in ten thousand place for Memphis. This means that it represents 70000.
It should be noted the 1 in Denver is in the same place. It represents 10000. On Cleveland, this is 1000.
Therefore, the number of times will be:
= 10000 / 1000
= 10
Therefore, the correct option is 10.
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Cleveland population 431,369 Denver population 610,345
Memphis population 676,640 What is the value of the digit 7 in the population of Memphis? What is the value of the digit 1 in the population of Denve?How many times as great the value of the digit 1 in the population of Cleveland is this value?
Kylie is training for an upcoming marathon and has committed to running
more than 21 miles today. If she runs from her house, she can run along two
loops: a short path that is 3 miles in length, and a long path that is 6 miles in
length. Select the inequality in standard form that describes this situation. (x
= the number of loops on the short path, y = the number of loops on the long
path).
Answer: 3x+6y > 21
Step-by-step explanation:
total distance kylie runs is the combined amount of loops from both paths. 3x represents however many loops she runs times the length of the short path. 6y represents however many loops she runs times the long path. Both of them have to add up and be greater than 21.
The probability that a bus is on time is 0.75. Sarah takes the bus to school two days a week. Calculate the probability the bus is late on each of those days
The probability the bus is late on each of those days will be 0.0625.
How to calculate the probability?It should be noted that the probability that a bus is on time is 0.75. The probability that it's late will be:
= 1 - 0.75
= 0.25
Therefore, the probability the bus is late on each of those days will be:
= 0.25 × 0.25
= 0.0625
Therefore, the probability is 0.25.
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Solve the linear system
4x +9y = -72
4x +9y = 54
This needs to be answered in x and y
Answer:
no solution
Step-by-step explanation:
4x + 9y = - 72 → (1)
4x + 9y = 54 → (2)
multiply (1) by - 1
- 4x - 9y = 72 → (3)
add (2) and (3) term by term
0 + 0 = 126 , that is
0 = 126 ← not possible
This indicates the system has no solution
Determine the quadrant in which each angle lies -7
It lies in the quadrant IV.
Since we know that a full circle is broken into four parts known as quadrants into regions of π/2.Since quadrant 1 ranges from 0 to π/2, quadrant 2 ranges from π/2 to π, then quadrant 3 ranges from π to 3π/2, and at last quadrant 4 ranges from 3π/2 to 2π.
And we know 2π is equal to approx 6.28 radians, so each quadrant will have 2π/ 4 = π2 ≈1.57 radians
So for angle -7 it will be = −7/(π/2) ≈−4.45.
So moving around the circle, it appears halfway through the quadrant IV.
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Please help - thanks
Insert parentheses in the appropriate places:
8+ 3-2 ×9 =17
28 ÷ 4+3 × 4+3 =28
5× 3+2 ×6 ÷3 =50
6× 9-4 +3-3 ×4=30
5 ×3+2× 6÷3 =19
5× 3+2×6 ÷3 =25
1. The correct arithmetic operation with parentheses is 8 + (3 - 2) × 9 = 17
2. The correct arithmetic operation with parentheses is 28 ÷ (4 + 3) × (4 + 3) = 28
3. The correct arithmetic operation with parentheses is 5 × (3 + 2) × 6 ÷ 3
4. The correct arithmetic operation with parentheses is 6 × (9 - 4) + (3 - 3) × 4
5. The correct arithmetic operation with parentheses is (5 × 3) + (2 × 6) ÷ 3 = 19
6. the correct arithmetic operation with parentheses is 5 × [3 + 2 × (6 ÷ 3)] = 35
What are arithmetic operations?Arithmetic operations are mathematical operations that involve multiplication, division , addition and subtraction.
Arithmetic operations follow the rule of BODMAS where
B represents brackets, O represents orders of powers or roots, D represents division, M represents multiplication,A represents addition and S represents subtractionHow to insert parentheses in the appropriate places:
1. How to insert parentheses in the appropriate places in 8 + 3 - 2 × 9 = 17Since the expression evaluates to 17, we put a parentheses between 3 and - 2. So,
8 + (3 - 2) × 9 = 8 + 1 × 9
= 8 + 9
= 17
So, the correct arithmetic operation with parentheses is 8 + (3 - 2) × 9 = 17
2. How to insert parentheses in the appropriate places in 28 ÷ 4 + 3 × 4 + 3 = 28Since the expression evaluates to 28, we a parentheses between 4 and + 3. So,
28 ÷ 4 + 3 × 4 + 3 = 28 ÷ (4 + 3) × (4 + 3)
= 28 ÷ 7 × (4 + 3)
= 4 × 7
= 28
So, the correct arithmetic operation with parentheses is 28 ÷ (4 + 3) × (4 + 3) = 28
3. How to insert parentheses in the appropriate places in 5 × 3 + 2 × 6 ÷ 3 = 50Since the expression evaluates to 50, we put a parentheses between 3 and + 2. So,
5 × 3 + 2 × 6 ÷ 3 = 5 × (3 + 2) × 6 ÷ 3
= 5 × 5 × 2
= 50
So, the correct arithmetic operation with parentheses is 5 × (3 + 2) × 6 ÷ 3
4. How to insert parentheses in the appropriate places in 6 × 9 - 4 + 3 - 3 × 4 = 30Since the expression evaluates to 30, we put a parentheses between 9 - 4 and 3 - 3. So,
6 × 9 - 4 + 3 - 3 × 4 = 6 × (9 - 4) + (3 - 3) × 4
= 6 × 5 + 0 × 4
= 30 + 0
= 30
So, the correct arithmetic operation with parentheses is 6 × (9 - 4) + (3 - 3) × 4
5. How to insert parentheses in the appropriate places in 5 × 3 + 2 × 6 ÷ 3 = 19Since the expression evaluates to 19, we put a parentheses between 2 and 6, and also 5 and 3. So,
5 × 3 + 2 × 6 ÷ 3 = (5 × 3) + (2 × 6) ÷ 3
= 15 + 12 ÷ 3
= 15 + 4
= 19
So, the correct arithmetic operation with parentheses is (5 × 3) + (2 × 6) ÷ 3 = 19
6. How to insert parentheses in the appropriate places in 5 × 3 + 2 × 6 ÷ 3 = 35Since the expression evaluates to 35, we put a parentheses between 6 and 3 and also both 3's. So,
5 × 3 + 2 × 6 ÷ 3 = 5 × [3 + 2 × (6 ÷ 3)]
= 5 × [3 + 2 × 2]
= 5 × [3 + 4]
= 5 × 7
= 35
So, the correct arithmetic operation with parentheses is 5 × [3 + 2 × (6 ÷ 3)] = 35
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y = -4.2x + 7.9 in standard form
The equation of the line y = -4.2x + 7.9 expressed in standard form is 42x + 10y = 79.
The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.
The standard form of an equation of a line is written as axe + by = c, where a and b are the coefficients of the variables x and y, respectively, and c is a constant. On the other hand, we can write the equation in point-slope form, (y - y1) = m, if we know the slope m and a point on the line (x, y).
Given the equation of a line, multiply both sides by 10 to turn the decimals into integers.
y = -4.2x + 7.9
10y = 10(-4.2x + 7.9)
10y = -42x + 79
Rewriting it in standard form ax + by = c,
10y = -42x + 79
42x + 10y = 79
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based on the boxplot, the top 25 percent of the cars have a typical gas mileage of at least how many miles per gallon? 15
The number if miles per gallon is 35 miles.
How to solve the box plot.
From the information, it was stated that the box plot shows a gas mileage for twenty cars.
Therefore, based on the boxplot, the top 25 percent of the cars have a typical gas mileage of at least 35 miles per gallon.
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20796
Describe and correct the error in solving the equation below.
Answer:
86
Step-by-step explanation:
What is the frozen food example of the free market and exit concept?
Answer: Food is Food
Step-by-step explanation:
I need help with how to do the vertical line test on a graph, I forgot.
Answer: To graph a vertical line that goes through a given point, first plot that point. Then draw a straight line up and down that goes through the point, and you're done!
Step-by-step explanation: pls give brainliest
Lily's limos charges $150 to rent a limo plus $40 an hour. ron's luxury rides charges $200 to rent a limo plus $30 an hour. at how many hours do the companies charge the same price? write and solve a single equation to prove and show at how many hours the companies charge the same price.
Upto 5 hours companies will charge at the same price.
what are comparing functions ?Functions can be represented in a variety of ways. A function, for instance, can be depicted using an input-output table, a graph, and an equation.It's occasionally necessary to compare two functions that are represented in different ways because of an issue. You might be asked, for instance, which function is greater for a given number or which function increases more quickly after being presented with a table and a graph.
Given that :For a limo rental, Lily's limos charges $150 plus $40 per hour. For a limo rental, Ron's Luxury Rides charges $200 plus $30 per hour.
Based on the given condition ,
equation is 150 + 40x = 200 + 30x
40x - 30x = 200 - 150
10x = 200 -150
10x = 50
x =[tex]\frac{50}{10}[/tex]
x = 5
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