The first function is an odd and the second one is neither even nor odd. The correct options are (1) and (2).
What is a function?A function y = f(x) is a one to one relationship between two sets X and Y where the set X is called the domain and Y the range of function f(x) ans x ∈ X and y ∈ Y.
The given problem can be solved as follows,
(2) The graph of the given function shows the following,
The value of the function is positive for positive x and negative for negative x.
It can be mathematically written as,
f(-x) = -f(x).
Which shows the given graph is of an odd function.
(3) The given function is f(x) = 4x³ + 2x² - x⁵.
In order to check the type of the function, find its value at the same value of x with different signs as,
f(1) = 4 × 1³ + 2 × 1² - 1⁵ = 5
And, f(-1) = 4 × -1³ + 2 × -1² - -1⁵ = -1
Since, f(1) ≠ f(-1), the function is not even.
And f(-1) ≠ -f(1), the function is not odd.
Thus, the given function is neither even nor odd.
Hence, the first and the second functions of the given problem are odd and neither even nor odd respectively.
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andi bought 10 candies and was give to anto 4 candies and 1 candy sold for 4 million so how much money is andi now
Candies left=10-4=6candies
Now
Price per unit=4millionPrice of 6
\(\\ \sf\longmapsto 6(4)=24million\)
Match each strength of association with the correct scatter plot.
1. Weak. 2. Moderate. 3. Strong
Answer:
Step-by-step explanation:
The closer together the points are to a line that can be drawn, the stronger the association.
1. weak is B, the points are all over the place and a clear line can't even be drawn
2. moderate is A, if you drew a line between the points, a line can be drawn and they points are somewhat close to the line
3. strong is C because you can draw a line through points are they are pretty closely clustered near the line.
Question One:
If a raw score corresponds to a z-score of 1.75, what does that tell you about that score in relation to the mean of the distribution?
Question Two:
What if the raw score corresponds to a z-score of -0.85?
Question One:A positive z-score indicates that the raw score is above the mean, while a negative z-score indicates that the raw score is below the mean.
Question Two: , the raw score is relatively lower than the mean.
If a raw score corresponds to a z-score of 1.75, it tells us that the raw score is 1.75 standard deviations above the mean of the distribution. In other words, the raw score is relatively higher than the mean. The z-score provides a standardized measure of how many standard deviations a particular value is from the mean.
A positive z-score indicates that the raw score is above the mean, while a negative z-score indicates that the raw score is below the mean.
Question Two:
If a raw score corresponds to a z-score of -0.85, it tells us that the raw score is 0.85 standard deviations below the mean of the distribution. In other words, the raw score is relatively lower than the mean. The negative sign indicates that the raw score is below the mean.
To understand the meaning of a z-score, it is helpful to consider the concept of standard deviation. The standard deviation measures the average amount of variability or spread in a distribution. A z-score allows us to compare individual data points to the mean in terms of standard deviations.
In the case of a z-score of -0.85, we can conclude that the raw score is located below the mean and is relatively lower compared to the rest of the distribution. The negative z-score indicates that the raw score is below the mean and is within the lower portion of the distribution. This suggests that the raw score is relatively smaller or less than the average value in the distribution.
By using z-scores, we can standardize and compare values across different distributions, allowing us to understand the position of a raw score relative to the mean and the overall distribution.
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HEEELLLLPPP!
Whoever answers right will get brainliest!!!!!!!!!
Answer:
\(y =\frac{x}{4}\)
Step-by-step explanation:
Pre-SolvingWe are given several functions, and we want to figure out which one is linear.
A linear function has both of its variables (x and y) with a power of 1. Variables with other powers do not mean that the function is linear.
SolvingLet's go through the list.
Starting with \(y=\frac{3}{x} -7\), we can see that x is in the denominator. If this is the case, it means that the power of x is -1.
Even though y has a power of 1, this is NOT linear, because x has a power of -1.
Now, with y=√x-2, this is also not linear. This is because √x = \(x^\frac{1}{2}\), even though y has a power of 1.
For x² - 1 = y, we can clearly see that x has a power of 2, while y has a power of 1. This means that the function is not linear.
This leaves us with \(y = \frac{x}{4}\). x is in a fraction, however it is not in the denominator. This means that the power of x in this function is 1. We can also see that the power of y in this function is 1.
This means that \(y=\frac{x}{4}\) is linear.
Due the two items below contain an equal proportion of fat. Steak: A 20
ounce steak contains 6 ounces of fat. Hamburger: A 6 ounce hamburger contains 0.75 ounces of fat. (Plz help I had a stroke reading this and I'm not good at proportions)
Answer:
The Steak has more fat
Step-by-step explanation:
Steak weight-20 ounces
Steak fat-6 ounces
Hamburger weight-6 ounces
Hamburger fat-0.75 ounces
Only look at the fat not how much they weigh
simplificar cada expresion numerica. -24+(-65)÷5
Answer:
-37
Step-by-step explanation:
-24+(-65) /5
-24 + (-13)
-37
Answer:
-37
Step-by-step explanation:
-24+(-65)/5
-24+(-65/5)
-24 - 13
-37
Diven {x) = 3x- 1 and 9(x) = 2x-3, for which value of x does g(X) = {2)?
The calculated value of x at g(x) = 2 is x = 2.5
How to determine the value of x at g(x) = 2from the question, we have the following parameters that can be used in our computation:
f(x) = 3x - 1
Also, we have
g(x) = 2x - 3
When g(x) - 2, we have
2x - 3 = 2
So, we have
2x = 5
Divide by 2
x = 2.5
Hence, the value of x at g(x) = 2 is x = 2.5
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Can you figure out the sequence/progression of the circle?
Answer:
i the middle
Step-by-step explanation:
Drag the tiles to the correct boxes to complete the pairs match the pairs of equivalent expressions
The table below gives selected values for the differentiable and increasing function ff and its derivative. If g(x) = f^-1(x), what is the value of g'(-2)?
The derivative of the inverse function of the differentiable and increasing function f(x), g(x) = f⁻¹(x), at x = -2, g'(-2) is \(\dfrac{1}{7}\)
What is the inverse of a function?An inverse function reverse the effect of the operations of a function, such that when the output of a function is the argument of its inverse function, the input of the function is obtained.
The derivative of an inverse function is found using the formula;
\(\dfrac{d}{dx} f^{-1}(x) = \dfrac{1}{f'[f^{-1}(x)]}\)
When x = -2, we get, from the table included in the question;
g(-2) = f⁻¹(-2) = 1
Therefore;
\(\dfrac{d}{dx} f^{-1}(-2) = \dfrac{1}{f'[f^{-1}(-2)]} = \dfrac{1}{f'[1]}\)
\(g'(-2) = \dfrac{d}{dx} f^{-1}(-2) = \dfrac{1}{f'[1]}\)
In the included table, f'(1) = 7, from which we get;
\(g'(-2) = \dfrac{1}{f'[1]}=\dfrac{1}{7}\)
\(g'(-2) = \dfrac{1}{7}\)
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Interpret the results. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. nothing% of all random samples of people from the population will have a mean driving distance to work (in miles) that is between the interval's endpoints. B. It can be said that nothing% of the population has a driving distance to work (in miles) that is between the interval's endpoints. C. With nothing% confidence, it can be said that most driving distances to work (in miles) in the population are between the interval's endpoints. D. With nothing% confidence, it can be said that the population mean driving distance to work (in miles) is between the interval's endpoints.
Answer:
With 99 % confidence, it can be said that the population mean driving distance to work (in miles) is between the interval's endpoints [19.91 miles, 31.49 miles] .
Step-by-step explanation:
The complete question is: In a random sample of six people, the mean driving distance to work was 25.7 miles and the standard deviation was 6.7 miles. Assuming the population is normally distributed and using the t-distribution, a 99% confidence interval for the population mean mu is left parenthesis 14.7 comma 36.7 right parenthesis (and the margin of error is 11.0).
Through research, it has been found that the population standard deviation of driving distances to work is 5.5 . Using the standard normal distribution with the appropriate calculations for a standard deviation that is known, find the margin of error and construct a 99 % confidence interval for the population mean mu .
Interpret the results. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.)
A. nothing % of all random samples of six people from the population will have a mean driving distance to work (in miles) that is between the interval's endpoints.
B. With nothing % confidence, it can be said that most driving distances to work (in miles) in the population are between the interval's endpoints.
C. It can be said that nothing % of the population has a driving distance to work (in miles) that is between the interval's endpoints.
D. With nothing % confidence, it can be said that the population mean driving distance to work (in miles) is between the interval's endpoints.
We are given that in a random sample of six people, the mean driving distance to work was 25.7 miles and the standard deviation was 6.7 miles.
Through research, it has been found that the population standard deviation of driving distances to work is 5.5 .
Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;
P.Q. = \(\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }\) ~ N(0,1)
where, \(\bar X\) = sample mean driving distance to work = 25.7 miles
\(\sigma\) = population standard deviation = 5.5 miles
n = sample of people = 6
\(\mu\) = population mean driving distance to work
Here for constructing a 99% confidence interval we have used a One-sample z-test statistics because we know about the population standard deviation.
So, 99% confidence interval for the population mean, \(\mu\) is ;
P(-2.58 < N(0,1) < 2.58) = 0.99 {As the critical value of z at 0.5% level
of significance are -2.58 & 2.58}
P(-2.58 < \(\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }\) < 2.58) = 0.99
P( \(-2.58 \times {\frac{\sigma}{\sqrt{n} } }\) < \({\bar X-\mu}\) < \(2.58 \times {\frac{\sigma}{\sqrt{n} } }\) ) = 0.99
P( \(\bar X-2.58 \times {\frac{\sigma}{\sqrt{n} } }\) < \(\mu\) < \(\bar X+2.58 \times {\frac{\sigma}{\sqrt{n} } }\) ) = 0.99
99% confidence interval for \(\mu\) = [ \(\bar X-2.58 \times {\frac{\sigma}{\sqrt{n} } }\) , \(\bar X+2.58 \times {\frac{\sigma}{\sqrt{n} } }\) ]
= [ \(25.7-2.58 \times {\frac{5.5}{\sqrt{6} } }\) , \(25.7+2.58 \times {\frac{5.5}{\sqrt{6} } }\) ]
= [19.91, 31.49]
Therefore, a 99% confidence for the population mean is [19.91, 31.49] .
The margin of error here is = \(2.58 \times {\frac{\sigma}{\sqrt{n} } }\)
= \(2.58 \times {\frac{5.5}{\sqrt{6} } }\) = 5.793
With 99 % confidence, it can be said that the population mean driving distance to work (in miles) is between the interval's endpoints [19.91, 31.49] .
Match the coordinates with the points on the coordinate plane
Answer:
Step-by-step explanation:
\((-2\frac{1}{2},3\frac{1}{2})\)
Since, x-coordinate is negative and y-coordinate is positive, point will lie in the 2nd quadrant.
Answer is point P.
(-3, 6)
Point L represents the given coordinates.
\((-4\frac{1}{2},2)\)
Point P represents the given coordinates.
\((2\frac{1}{2},2\frac{1}{2})\)
Since, x and y coordinates are positive, point will lie in the 1st quadrant.
Point Q represents the given coordinates.
\((-1\frac{1}{2},-3\frac{1}{2})\)
Since, both x and y coordinates are negative, point will lie in the 3rd coordinate.
Point R represents the given coordinates.
The radius of a cylindrical water tank is 4 ft, and its height is 10 ft. What is the volume of the tank?
Answer:
502 cubic feet
Step-by-step explanation:
The Volume of the tank is 502 cubic feet.
At sunrise on monday the temperature in new haven, ct is -5f. By noon the temperature is 14 degrees warker and by sunset the temperature is 9 degrees colder than it was noon
Answer:
0 degrees faranhiet
Step-by-step explanation:
when you add 14 and -5 you get 9 then the question says 9 degrees cooler so that would translate to the problem 9 - 9 which you get zero.
Here is a table of values for y= f(x).
x -2 -1 0 1 2 3 4 5 6
f(x) 5 6 7 8 9 10 11 12 13
Mark the statements that are true.
A. The domain for f(x) is the set {-2, -1, 0, 1, 2, 3, 4, 5, 6).
B. The range for f(x) is all real numbers.
C. f(-1) = 6
D. f(5) = -2
The statements that are true are:
A. The domain for f(x) is the set {-2, -1, 0, 1, 2, 3, 4, 5, 6).
C. f(-1) = 6
To determine the truth of each statement, we need to analyze the given table of values for the function f(x).
A. The domain for f(x) is the set {-2, -1, 0, 1, 2, 3, 4, 5, 6).
The x-values listed in the table are -2, -1, 0, 1, 2, 3, 4, 5, and 6. These are the inputs for the function, and therefore, they represent the domain of f(x). Thus, statement A is true.
B. The range for f(x) is all real numbers.
Looking at the y-values listed in the table for f(x), we can see that the range of f(x) is from 5 to 13. It does not include all real numbers, so statement B is false.
C. f(-1) = 6
From the table, we can see that when x = -1, f(x) = 6. Thus, statement C is true.
D. f(5) = -2
There is no entry in the table for f(5), so we cannot determine the value of f(5) from the given information. Therefore, statement D is false.
In conclusion, the true statements are A and C.
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5. Match the steps for constructing a congruent line segment to their pictures.
▼
▼
1. Step 2: Draw a second line
segment that is longer than the
first.
2. Step 4: That intersection is the
final endpoint of the copied
segment.
3. Step 1: Put the point of the
compass on one endpoint of the
segment to be copied. Change the
compass setting so that the
pencil end is just touching the
other endpoint, make a small arc
to see this.
4. Step 3: Without changing the
compass setting, put the
compass point on the new
endpoint on a new line. Make a
small arc that intersects the line.
We can see here that matching the steps for constructing a congruent line segment to their pictures, we have:
Step 1 - Picture a
Step 2 - Picture b
Step 3 - Picture c
Step 4 - Picture c.
What is a line segment?Any portion of a line with two ends and a set length is referred to as a line segment. It differs from a line that has neither a beginning nor an end and can be stretched in both directions.
The endpoints of a line segment can be used to define it. The portion of the line that begins at point A and finishes at point B, for instance, is known as the line segment AB.
A ruler or measuring tape can be used to determine the length of a line segment. The distance between two line segments' endpoints is the segment's length.
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Answer:
Step-by-step explanation:
Which of the following statements is true about the three quadrilaterals
a
D and E are similar but not congruent
B
E and F are similar and congruent
C
D and E are similar and congruent.
D
F and D are similar but not congruent
Answer:
D and E are similar but not congruent.
Step-by-step explanation:
They are similar because they are the same shape, but they aren't congruent because they are not the same size. Hope this helps :)
Write the slope-intercept form of the equation for each line.
Step-by-step explanation:
points on the line: (4, -2) & (-5, 3)
gradient of the line = -5/9
general equation for all straight lines: y = mx + c
substitute one coordinate and the gradient into the equation. 3 = (-5/9)(-5) + c
therefore, c = 2/9
so the general equation is y = (-5/9)x + 2/9
determine the value of X?
Determine the Magnitude of FTD?
The value of x is 50 and FTD = 130°
How to find the value of x?Both of the angles in the diagram must have the same measure because are vertical, then:
3x - 20 = 2x + 30
3x - 2x = 30 + 20
x = 50
That is the value of x.
And we can see that FTD = 2x + 30 = 2*50 + 30 = 130
That is the measure.
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14 in.
2 in.
2 in.
3 in.
3 in.
The volume of the figure
cubic in.
Which table represents a nonlinear function?
ANSWER ASAP
At the produce store, 6 bananas are the same cost as 9 apples. You buy 4 bananas and 2 apples. The purchase cost $8. This scenario is modeled by the given system. Choose the correct description below that connects the meaning of the solution (1, 1.5) to the context of this scenario.
6y=9x
2x+4y=8
A. Each apple costs $1.50 and each banana costs $1.
B. You purchased 1 apple and 1.5 bananas.
C. You purchased 1.5 apples and 1 banana.
D. Each apple costs $1 and each banana costs $1.50.
The solution (1, 1.5) denotes:
Each apple costs $1.
Each banana costs $1.50.
Option D is the correct answer.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 9 is an equation.
We have,
6y = 9x _____(1)
2x + 4y = 8 ______(2)
From the equation,
x is the cost of an apple.
y is the cost of a banana.
Now,
(1, 1.5) = (x, y)
This means,
The cost of an apple = $1.
The cost of a banana = $1.5
Thus,
The solution (1, 1.5) denotes that the cost of an apple is $1 and a banana is $1.5.
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Jane took 10 min to drive her boat upstream to water-ski at her favorite spot. Coming back later in the day at the same boat speed took her 5 min. If the current in that part of the river is 10 km per hr, what was her boat speed in still water?
Answer: B = 15 kph or 15 kph
step by step
(b-5)*10=(b+5)*5
10b-50=5b+25
5b=75
b=15 kph in still water
PLEASE PLEASE HELP!!!!
Answer:
3
Step-by-step explanation:
what is an equation of the line that passes through the point (-3,-1) and is perpendicular to the line y=1/2x - 3
Answer:
Step-by-step explanation: gradient of perpendicular line is
-2
y+1/x+3=-2
y+1=-2x-6
y=-2x-7
Question:How many joules of gravitational potential energy are stored in an object that has a mass of 8.5 kilograms and is held 2 meters above the surface of earth?
Answer:
166.6 joules
Step-by-step explanation:
The formular for potential energy is Mgh
Mass is 8.5 kg
g = acceleration due to gravity (9.8)
height is 2 meters
= 8.5 × 9.8 × 2
= 166.6 joules
Hence the potential energy is 166.6 joules
If the Earth's real diameter is 12,756km and the Earth's model diameter is 25mm, what is Jupiter's model diameter if the real diameter is 142,984km?
Jupiter's model diameter will be 280 mm, if the real diameter is 142,984km?.
What is Proportion?Proportion can be referred to as a part, share, or number considered in comparative relation to a whole. Proportion is defined as when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
real diameter : model diameter
12,756 : 25
142,984 : x
where x is the model diameter of jupiter
x = (25 x 142,984) / 12,756
x = 280 mm
Therefore, the model diameter of Jupiter is 280mm
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Help me with this I ready question !
Answer:
fluid ounces
Step-by-step explanation:
A fluid ounce is a unit of volume typically used for measuring liquids. Various definitions have been used throughout history, but only two are still in common use: the British Imperial and the United States customary fluid ounce.
Please help with the bottom questions not filled in <3
Will give brainslt to correct answers
Answer:
Please check the explanation.
Step-by-step explanation:
Given that
m=-1 (m is slope)point (2, 4)NOW LET US SOLVE THE BLANKS
Point (2, 4) means the x-value is: x=2, and y-value is: y=4
so
y = __4__ , m = __-1__ , and x = __2__
y=mx+b
_4_ = -1 (__2__)+b
_4_ = _-2_ + b
_6_ = b
The y-intercept is _6_.
The equation of line is y = _-1_ x + _6_
Find the volume of the following figure round your answer to the nearest tenth if necessary and use pi
Answer:
Volume = 1152 x pi km^3
Step-by-step explanation:
Volume = 1/3 x pi x r^2 x h
Volume = 1/3 x pi x 12^2 x 24
Volume = 1152 x pi