c McGraw-Hill Educa...A ALEKS - Michael A...O GRAPHS AND FUNCTIONSEven and odd functions: Problem type 1
Answers
In this case, we'll have to carry out several steps to find the solution.
Step 01:
data:
graphs and equations
Step 02:
functions:
We must analyze the graph and equations to find the solution.
graph 01 (the function r):
Neither
graph 02 (the function s):
Even
function 01:
g(x) = 4x^5
Odd
function 02:
h(x) = - 2x^4 + 3x^2
Even
That is the full solution.
Related Questions
Find f'(x).f(x) = x2 - 6x - 4x-2 + 3x-3f'(x) =
Answers
Given the function
[tex]f(x)=x^2-6x-4x^^{-2}+3x^{-3}[/tex]f'(x) is given by
[tex]f^{\prime}(x)=2x-6+8x^{-3}-9x^{-4}[/tex][tex]f^{\prime}(x)=2x-6+8x^{-3}-9x^{-4}[/tex]Find the perimeter. Simplify your answer.C+6c+6C+2Submit
Answers
The perimeter of a figure is the sum os the length of the sides of the figure. In this case, you have algebraic expressions for the length of the sides, then, sum the given expressions, as follow:
p = (c + 6) + (c + 6) + (c + 7)
cancel out parentheses:
p = c + 6 + c + 6 + c + 7
simplify like terms:
p = c + c + c + 6 + 6 + 7
p = 3c + 19
Hence, the perimeter of the given figure is 3c + 19
what will be the results if the y-intercepts of the line shown is changed to an 8, but the slope remains the same? select one of the option from each set to complete the sentence
Answers
Given that the new line will have the same slope, it will be parallel to the line in the graph.
Given that the new y-intercept is 2 units down respect the y-intercept of the line in the graph, then the new line will be translated 2 units down
Add write the answer in lowest term 5x+2/6x+5 + x+3/6x+5
Answers
Recall that:
[tex]\frac{a}{b}+\frac{c}{b}=\frac{a+c}{b}\text{.}[/tex]Therefore we can rewrite the given expression as follows:
[tex]\frac{5x+2+x+3}{6x+5}\text{.}[/tex]Adding like terms we get:
[tex]\frac{6x+5}{6x+5}\text{.}[/tex]Finally, assuming that:
[tex]x\ne-\frac{5}{6},[/tex]we get that:
[tex]\frac{6x+5}{6x+5}=1.[/tex]Answer:
[tex]\frac{5x+2}{6x+5}+\frac{x+3}{6x+5}=1.[/tex]a bakery makes 240 bagels in 5 hours. how many can they make in 18 hours? what was the rate per hour?
Answers
let us first calculate the rate per hour
[tex]\frac{240}{5}=48[/tex]so they made 48 bagels in 1 hour
so in 18 hours they made
[tex]48\cdot18=864[/tex]864 bagels in 18 hours
Do Now: Please explain how these problems are different. Practice with the distributive property 1) (a+b)(a+b)= 2) (a -b)(a+b)= 3) (a - b)(a - b) =
Answers
Using the distributive property to find the following:
1) (a + b ) ( a + b ) = a * ( a + b) + b * (a+b) = a^2 + ab + ab + b^2 = a^2 + 2ab + b^2
2) (a-b) (a+b) = a * (a+b) - b (a+b) = a^2 + ab - ab - b^2 = a^2 - b^2
3) (a - b) * (a - b) = a * (a -b) - b * (a - b) = a^2 - ab - ab + b^2 = a^2 - 2ab + b^2
so, as shown the fist and the third are similar when multiplying two similar parentheses , it will given a complete square
while the second, one of the parentheses conject to the other , the result will be the difference of the squares
Domain of f(x)=2/(3x+4)
Answers
Answer:
[tex](-\infty,-\frac{4}{3})\cup(-\frac{4}{3},\infty)[/tex]Explanation:
Given f(x) defined below:
[tex]f\mleft(x\mright)=\frac{2}{3x+4}[/tex]The domain of f(x) is the set of the values of x for which f(x) is defined.
Find the excluded values, the values at which f(x) is undefined. To do this, set the denominator equal to 0 and solve for x.
[tex]\begin{gathered} 3x+4=0 \\ 3x=-4 \\ x=-\frac{4}{3} \end{gathered}[/tex]The excluded value of the domain is -4/3.
Therefore, the domain of f(x) is:
[tex](-\infty,-\frac{4}{3})\cup(-\frac{4}{3},\infty)[/tex]8. A department store wraps gifts for its customers. What is the amount of wrapping paper it would take to wrap a gift box with a width of 12 inches, a height of 4 inches, and a length of 16 inches? F. 768 in2 H. 512 in G. 608 in I. 304 in? 8.it is question number 8
Answers
To solve the exercise you can find the surface area of a rectangular prism with the given measurements. The formula to find the surface area of a rectangular prism is
[tex]\begin{gathered} SA=2lw+2wh+2lh \\ \text{ Where SA is the surface area}, \\ l\text{ is the length,} \\ w\text{ is the width and} \\ h\text{ is the height of the rectangular prism} \end{gathered}[/tex]So, in this case, you have
[tex]\begin{gathered} l=16in \\ w=12in \\ h=4in \end{gathered}[/tex][tex]\begin{gathered} SA=2lw+2wh+2lh \\ SA=2(16in)(12in)+2(12in)(4in)+2(16in)(4in) \\ SA=384in^2+96in^2+128in^2 \\ SA=608in^2 \end{gathered}[/tex]Therefore, to wrap the gift box the department will need 608 square inches of wrapping paper.
Find the value of x.(2x+3)°/(x-6)°
Answers
The Solution.
By sum of angles in a straight line, we get
[tex]2x+3+x-6=180[/tex][tex]\begin{gathered} 2x+x-6+3=180 \\ 3x-3=180 \\ 3x=180+3 \\ 3x=183 \\ \text{Dividing both sides by 3, we get} \\ x=\frac{183}{3}=61 \end{gathered}[/tex]The correct answer is x = 61
which of the following is a solution to system of inequalities shown below?5x+2y>19x+y>=5a. (0,0)b. (0,1)c. (5,5)d. (5,-1)
Answers
5x+2y>19
x+y>=5
We have to graph each inequality:
First, express them in slope-intercept form:
y=mx+b
Where:
m= slope
b= y intercept
5x+2y>19
2y>19-5x
y> (19-5x)/2
y> -5/2x +9.5
x+y ≥ 5
y≥-x+5
So, we have the equations:
y> -5/2x +9.5
y≥-x+5
Graph:
The solution to the system is the intersection of both areas (blue and red)
The only point that is inside the solution it's c. (5.5)
The percentage of first year college females who will claim no religious affiliation in 2025 is approximately %
Answers
We have to calculate the average increase in the percentage, and the extrapolate it to 2025.
We have the following data:
1980: 6.5%
1990: 10.6%
2000: 13.3%
2012: 21.1%
We can calculate an average value taking into account the year 2012 and the year 1980.
We can do that as:
[tex]\bar{p}=\frac{21.1-6.5}{2012-1980}=\frac{14.6}{32}=0.45625[/tex]In 32 years, the average increase in the percentage is 0.45625%.
Then, we have to extrapolate to the year 2025.
From 2012 we have (2025-2012) = 13 years.
Then, we expect an increase of:
[tex]0.45625\cdot13=5.93195\approx5.9[/tex]From 2012 to 2025 we expect an increase of 5.9%, so we add it to the level of 2012 and we get the level of 2025:
[tex]p_{2025}=21.1+5.9=27.0[/tex]The percentage of first year college females who will claim no religious affiliation in 2025 is approximately 27.0%.
question below You are taking a 18 question multiple choice test, where each question has 5 possible answers. Identify n and p. Write p as a fraction, n 18 р 1 5 I Find the mean and standard deviation of the binomial random variable. Write your answers as a fraction, expression or decimal with at least 4 decimal places, 3.6 og 1.697 1.6970562748477 What would be an unusually high number of correct questions? I am still struggle how to find this question Give your answer in the box above as a whole number. x or more correct.
Answers
EXPLANATION
Number of questions in the test = 18
Number of possible answers = 5
n represent the number of questions and p represent the possible answers p.
n-----> number of questions
p ----> possible answers
The unusually high number is 8 or more.
Assume that the amount of water that Mario uses for irrigation at his vineyard in inversely proportional to the amount of rainfall. if he uses 40,000 gallons during a month in which there is 6" of rain, how much water would be used in a month that has 7" of rain? (round to nearest integer as needed)
Answers
34,286 gallons
Explanations:Let the amount of water that Mario uses for irrigation be A
Let the amount of rainfall be "r"
If the amount of water that Mario uses for irrigation at his vineyard in inversely proportional to the amount of rainfall, this is expressed as:
[tex]\begin{gathered} A\alpha\frac{1}{r} \\ A=\frac{k}{r} \end{gathered}[/tex]If he uses 40,000 gallons during a month in which there is 6" of rain, this means that A = 40,000 and r = 6"
Substitute the given values into the formula:
[tex]\begin{gathered} 40,000=\frac{k}{6} \\ k=6\times40,000 \\ k=240,000 \end{gathered}[/tex]In order to know how much water would be used in a month that has 7" of rain, this means that;
A = ?, r = 7"
Get the value of "A"
Recall that:
[tex]\begin{gathered} A=\frac{k}{r} \\ A=\frac{240,000}{7} \\ A=34,285.7 \end{gathered}[/tex]This shows that about 34,286 gallons of water would be used in a month that has 7" of rain.
The graph below shows a linear relationship. The points shown have whole-number coordinates. 9 8 7 6 5 -1 1 3 1 2 3 4 5 6 7 8 9 0 1 2 -3 4 5 -6 -7 8 9
Answers
Answer
The linear relationship between y and x is
y = (2x/3) + 2
Explanation
This is a straight line, that we can just solve for the linear relationship by solving the equation of this straight line.
The slope and y-intercept form of the equation of a straight line is given as
y = mx + c
where
y = y-coordinate of a point on the line.
m = slope of the line.
x = x-coordinate of the point on the line whose y-coordinate is y.
c = y-intercept of the line.
So, we just need to solve for the slope and the y-intercept.
For a straight line, the slope of the line can be obtained when the coordinates of two points on the line are known. If the coordinates are (x₁, y₁) and (x₂, y₂), the slope is given as
[tex]Slope=m=\frac{Change\text{ in y}}{Change\text{ in x}}=\frac{y_2-y_1}{x_2-x_1}[/tex]For this question,
(x₁, y₁) and (x₂, y₂) are (-3, 0) and (0, 2)
[tex]\text{Slope = }\frac{2-0}{0-(-3)}=\frac{2}{0+3}=\frac{2}{3}[/tex]Then, the y-intercept is where the line crosses the y-axis
c = y-intercept = 2
y = mx + c
y = (2/3)(x) + 2
y = (2x/3) + 2
Hope this Helps!!!
Mr. Rodriguez compared test scores with the amount of students over the past two years.Last YearThis YearninTest ScoresTest ScoresWhich summary statistics should be used to compare the two data sets and why?А.The median and the interquartile range because the data sets are normally distributed.B. The median and the interquartile range because the data sets are skewed.C.The mean and the standard deviation because the data sets are normally distributedD. The mean and the standard deviation because the data sets are skewed.
Answers
First we notice that the data is skewed, we know that in this situation it is better to use the median than the mean. Hence:
B. The median and the interquartile range because the data sets are skewed.
For any positive numbers, a, b, and d, with b = 1, logb a + logb d=. .
Answers
Using the properties of logarihtm:
[tex]log_b(a)+log_b(d)=log_b(a*d)[/tex]we keep the base and multiply the arguments.
The answer is: A.
Donnell does an experiment using a number cube, a dime, and a penny: • The number cube is tossed first and can land on any number from 1 to 6.• If the cube lands on an odd number (O), he will flip the dime.• If the cube lands on an even number (E), he will flip the penny.• Each coin can land on either heads (H) or tails (T).QuestionWhich table shows all the possible outcomes for Donnell's experiment?Answer options with 4 options
Answers
Notice that for an odd number on the cube (O), the table must have outcomes just for the dime, and for an even number on the cube (E), the table must have outcomes just for the penny.
The table that fulfills this conditions is the one from Option C.
What are the solutions to the system of equations?y = 2x² - 6x + 3y=x-2
Answers
Explanation
We are given the following system of equations:
[tex]\begin{gathered} y=2x^2-6x+3 \\ y=x-2 \end{gathered}[/tex]We are required to determine the solutions to the given system of equations.
This is achieved thus:
[tex]\begin{gathered} y=2x^2-6x+3 \\ y=x-2 \\ \\ \therefore2x^2-6x+3=x-2 \\ 2x^2-6x-x+3+2=0 \\ 2x^2-7x+5=0 \\ \text{ Using grouping method, we have} \\ 2x^2-2x-5x+5=0 \\ (2x^2-2x)(-5x+5)=0 \\ 2x(x-1)-5(x-1)=0 \\ (x-1)(2x-5)=0 \\ x-1=0;2x-5=0 \\ x=1;2x=5 \\ x_1=1;x_2=\frac{5}{2} \end{gathered}[/tex]Hence, the answer is:
[tex]x_1=1;x_2=\frac{5}{2}[/tex]Find the probability of z occurring in the indicated region
Answers
Answer:
Explanations:
I need some help with a few of these questions
Answers
Take into account that the sum of angles VUJ and JUT is equal to the measure of angle VUT, then, you have:
m
replace the given expressions for the measure of the angles into the preivous equation:
(13x - 3) + (13x + 22) = 175 open parenthesis left side and simplify like terms
26x + 19 = 175 subtract 9 both sides
26x = 175 - 19
26x = 156 divide by 26 both sides
x = 156/26
x = 6
Hence, the value of x is 6
Hello, I could really use the help with this question, your help would be very helpful. This help is much appreciated.
Answers
In order to calculate the function that represents the total amount of money she will have in her bank account, we need to multiply the initial amount of money (given by the function h(x)) by the interest rate (given by the function s(x)), so we will have:
[tex]\begin{gathered} \text{Money}=h(x)\cdot s(x) \\ \text{Money}=200\cdot(1.05)^{x-1} \end{gathered}[/tex]round off 3259 to 3 sig figs
Answers
Given the number:
3259
Let's round off the given number to 3 significant figures.
To round off any number, apply the following conditions:
0. Non-zero numbers are significant numbers.
,1. Zeros between two non-zero numbers are significant.
,2. Leading zeros are not significant.
,3. Zeros at the end are only significant if there is a decimal point after it.
Hence, to round off the number, given that the fourth significant number 9 is greater than 4, add 1 to the third significant number (5) and rewrite 9 as zero.
We have:
[tex]3259\approx3260[/tex]Therefore, the number rounded off to 3 significant numbers is:
3260
ANSWER:
3260
Solve the following system of linear equations by graphing:4x + y = 4x 48-3+ + 2y = -1
Answers
Given:
[tex]\begin{gathered} -\frac{4}{3}x+y=4\ldots\text{ (1)} \\ -\frac{8}{3}x+2y=-1\ldots.\text{ (2)} \end{gathered}[/tex]Equation (1) can be written as
[tex]y=\frac{4}{3}x+4\ldots\text{ (3)}[/tex]Equation (2) can be written as
[tex]\begin{gathered} 2y=\frac{8}{3}x-1 \\ y=\frac{4}{3}x-\frac{1}{2}\ldots\text{ (4)} \end{gathered}[/tex]By equating equation(3) and equation(4)
[tex]\begin{gathered} \frac{4}{3}x+4=\frac{4}{3}x-\frac{1}{2} \\ 4\ne-\frac{1}{2} \end{gathered}[/tex]There is no solution.
How many different ways can you arrange 5 people at a table
Answers
The number of ways n people can arrange at table is,
[tex]n![/tex]Determine the number of ways for 5 people arrange at a table (non-circular).
[tex]\begin{gathered} 5!=5\cdot4\cdot3\cdot2\cdot1 \\ =120 \end{gathered}[/tex]Answer: 120
34. MAT scores are approximately normally distributed with a mean of 547 and a standard deviation of 95. Estimate the percentage of scores that were(a) between 262 and 832. %(b) above 737. %(c) below 262. %(d) between 452 and 737. %
Answers
with the question given above,
(a) P(262= P[z < (832 - 475)/85] - P[z < (262 - 574)/95]
= P(z<3) - P(z<-3)
looking at the z-score table, we find
= 0.9987 - 0.0013
= 0.9973
= 99.7%
(b) P(x>737) = 1 - P(x <=737
= 1 - P[z<= (737 - 547)/95]
= 1 - P(z<= 2)
= 1 - 0.97725
= 0.02275
= 2.3%
(c) P(x < 262) = P(z< -3
= 0.0013
= 0.13%
(d) P(452= 0.97725 - P[z < (452 - 547)/95
= 0.97725 - P(z<-1)
= 0.97725 - 0.15866
= 0.81859
= 81.9%
Graph the line by plotting any two ordered pairs with integer value coordinates that satisfy the equation.4x = 12Answer3 KeypadKeyboard ShortcutsPoints can be moved by dragging or using the arrow keys. Any lines or curves will be drawn once allrequired points are plotted and will update whenever a point is moved.1015X10-510510
Answers
Given
The equation is
4x=12
Explanation
We have to graph the equation ,
Simplify the equation ,
[tex]\begin{gathered} 4x=12 \\ x=3 \end{gathered}[/tex]The ordered pair that satisfy the equation is
Answer
The graph of the equation with the help of ordered pair is
A man invests his savings in two accounts, one paying 3% and the other paying 5% simple interest per year. He puts twice as much in the lower-yielding account because it is less risky. His annual interest is $1496. How much did he invest at each rate
Answers
Let
x ----> the amount invested at 3%
y ----> the amount invested at 5%
we have that
3%=0.03
5%=0.05
0.03x+0.05y=1,496 -----> equation 1
x=2y -----> equation 2
solve the system of equations
substitute equation 2 in equation 1
0.03(2y)+0.05y=1,496
solve for y
0.06y+0.05y=1,496
0.11y=1,496
y=13,600
Find out the value of x
x=2y
x=2(13,600)=27,200
therefore
the amount invested at 3% was $27,200 and the amount invested at 5% was $13,600If you have 100% of something, then you have the _________ amount or ____ .
Answers
If you have 100% of something, then you have the total amount or whole .
Alex started a new social media account, whichhe uses to post pictures of cute animals. On thefirst day, he had only 8 followers. However, hisaccount became popular very quickly and hisnumber of followers tripled every day. Identifythe recursive function that gives the number offollowers he has after n days.
Answers
first day = 8 followers
f(1) = 8
second day = 3 * f(1)
f(2) = 3f(1)
third day = 3 * f(2)
f(3) = 3f(2)
fourth day = 3 * f(3)
f(4) = 3f(3)
After n days, we have the function thus:
[tex]\begin{gathered} f(n)=\left\{ \begin{aligned}f(1)\text{ = 8} \\ f(n)=3f(n-1) \\ \text{if n }>\text{ 1}\end{aligned}\right. \\ \end{gathered}[/tex]i need help with this question parts c d and e
Answers
Solution:
Given:
When f(x) = -1
[tex][/tex]