The graph of f is given below. Use the graph to determine the following items.
• The z-values, if any, where f has a relative maximum.
• The value(s), if any, of the relative maximum(s) of f.
• The z-values, if any, where f has a relative minimum.
• The value(s), if any, of the relative minimum(s) of f.
Answers
Part 1
Relative maxima are where the function changes from increasing to decreasing.
No x-values satisfy this.Part 2
None, see above.
Part 3
Relative minima are where the function changes from decreasing to increasing.
No x-values satisfy this.Part 4
None, see above.
Related Questions
Theater Tickets. The El Portal Center for the Arts in North Hollywood, California, holds a maximum of 400 people. The two balconies hold 94 and 91 people each; the rest of the seats are at the stage level. Solving the equation x + 94 + 91 = 400 will give you the number of seats on the stage level.
Answers
So first of all we have to solve this equation:
[tex]x+94+91=400[/tex]We can perform the operation 94+91=185 so we get:
[tex]x+185=400[/tex]And we can substract 185 from both sides of the equation:
[tex]\begin{gathered} x+185-185=400-185 \\ x=215 \end{gathered}[/tex]Then the answer to part a is 215.
Now that we have the number of seats on the stage level we can find the max amount of money the theater can bring in. This will be given by the total number of seats in the stage level multiplied by the cost per ticket for these seats plus the total number of seats in balconies (185) multiplied by the cost per ticket for these seats. Then we get:
[tex]215\cdot30+185\cdot25=11075[/tex]Then the max amount of money the theater can bring in for a show and answer to part b is $11075.
PLS HELP ME, I NEED HELP
Answers
Answer: A
Step-by-step explanation:
Substitute y for 0, and then find x, which is 3x<-10. divide by three, and you get x<-3.33 and A is the only one with the right x coordinate and going to the left.
Directions: Rewrite the following expressions in factored form by determining the GCF5.) 63x12 - 35x^6Factored Form:
Answers
what number is represented by the expanded form shown? write the number in the place-value chart 70+8+6/100+3/1000
Answers
Answer:
Step-by-step explanation:
Hundreds: None
Tens: 70
Ones: 8
Tenths: None
Hundreths: 6/100
Thousandths: 3/1000
Total: 78 63/1000
Or in Numbers only:
78.063
Write each percent as a fraction and a decimal 72% , 25% , 500%, 5%, 307%, 165% plss help
Answers
Answer:72%, 72/100, and .72
25%, 25/100, and .25
500% 5/1, and 5.0
5%, 5/100, and .05
307%, 307/100, and 3.07
165%, 165/100, and 1.65
Step-by-step explanation:
Evaluate the following expression:
2/7 +3/7 = //
In the space below, enter the value of the numerator in your
answer. Do not include the division sign or the denominator.
For example, if the answer was, you would enter the
number 1 in the space below.
Answers
Answer:
[tex]\frac{2}{7}+\frac{3}{7}=\frac{5\\}{7}[/tex]
but if you want only the numerator it is 5
decimal form: 0.714
An executive wishes to take out a $1.2 m mortgage. The yearly interest rate on the loan is 1.95% and the loan is for 20 years. What will the monthly repayments be? Give your answer in dollars and cents. Do not include commas or the dollar sign in your answer.
Answers
Mortgages are calculated using simple interest, so:
[tex]A=P(1+rt)[/tex]P= principal amount
r= interest rate
t= time
For P=1.2mill
r=1.95%
t=20years
The simple interest will be:
[tex]A=1200000(1+0.0195\cdot20)=1668000[/tex]Now divide the calculated amount by 20 to get the yearly fee:
[tex]\frac{1668000}{20}=83400[/tex]And finally divide it by 12 to get the monthly fee:
[tex]\frac{83400}{12}=6950[/tex]The exercutive will pay 6950 monthly
Just number 3.
Tuesday-Friday please I can do the total hours
Answers
The total hours for the week is 32 hrs 55 mins.
Mon total hours = ( 12:00 - 8:30) + ( 17:35 - 12: 35)hrs
= 3 hrs 30 mins + 5 hrs
= 8hrs 30mins
Tue total hours = ( 12:15 - 8:25) + ( 17:30 - 13: 00)hrs
= 3hrs 50mins + 4hrs 30mins
= 8hrs 20mins
Wed total hours = ( 12:45- 8:28) + ( 16:25 - 13: 15)hrs
= 4 hrs 17 mins + 3hrs 10 mins
= 7hrs 27mins
Thu total hours = ( 01:08- 8:15) + ( 17:42 - 13: 45)hrs
= 4hrs 53mins + 3hrs 57 mins
=8hrs 50mins
Fri total hours = ( 12:30- 8:50) + ( 17:08 - 13: 00)hrs
=3hrs 40mins + 4hrs 8 mins
=7 hrs 48 mins
Therefore total work hours = 32 hrs 55 mins
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A store purchased a piece of artwork then marked up the price 350% before selling to customers. If the artwork was sold for $52.50, what was its original price?
Answers
Raymond invested $2,000 in an account that earns an 8% annual interest rate. Find a balance of his account after 4 years compounded the following ways round your answers to the nearest cent.
Answers
The rule of the compounded interest is
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]A is the new value
P is the initial value
r is the rate in decimal
n is the period
t is the time
He invested $2000
P = 2000
The account earns an 8% annual interest
r = 8% = 8/100 = 0.08
The balance is for 4 years
t = 4
For no 1 it is annual, then
n = 1
Substitute these values in the rule above
[tex]\begin{gathered} A=2000(1+\frac{0.08}{1})^{(1\times4)} \\ A=2000(1.08)^4 \\ A=2720.97792 \end{gathered}[/tex]Round it to the nearest cent means 2 d.p
[tex]A=2720.98[/tex]The balance is $2720.98
2. Semi-annual means
n = 2
So we will substitute n by 2
[tex]\begin{gathered} A=2000(1+\frac{0.08}{2})^{(2\times4)} \\ A=2000(1.04)^8 \\ A=2737.138101 \end{gathered}[/tex]Round it to the nearest cent
[tex]A=2737.14[/tex]The balance is $2737.14 in semi-annual
3. Quarterly means
n = 4
So we will substitute n by 4
[tex]\begin{gathered} A=2000(1+\frac{0.08}{4})^{(4\times4)} \\ A=2000(1.02)^{16} \\ A=2745.57141 \end{gathered}[/tex]Round it to the nearest cents
[tex]A=2745.57[/tex]The balance is $2745.57 quarterly
4. Monthly means
n = 12
Substitute n by 12
[tex]\begin{gathered} A=2000(1+\frac{0.08}{12})^{(12\times4)} \\ A=2000(1.006666667)^{48} \\ A=2751.332201 \end{gathered}[/tex]Round it to the nearest cent
[tex]A=2751.33[/tex]The balance is $2751.33 monthly
9+9+9+9+9+99+9+9+9+9+9+9+9+9+9
Answers
Answer:
9 x 16 is 144
Step-by-step explanation:
If the 99 in the middle wasn't mistaken, the answer is 225.
Hope this helps!
Answer:225
Step-by-step explanation:
9x16=144 then 144+99=225
A rich relative dios and you inherit $120,000. How much will you have for your retirement of age 60) if you invest the inheritance in an account paying 2.0% annual interest compounded monthlyassuming that you are 18 years old now?O A. 569,287,040,00OB. 5481,030.54O C. $287.040,00OD $1,700,400.00previow answors
Answers
To answer this question we will use the following formula for compounded monthly interest:
[tex]A=A_0(1+\frac{r}{12})^{12t},[/tex]where A₀ is the initial amount, r is the annual interest as a decimal number and 12 is the number of years.
Notice that:
[tex]60-18=42.[/tex]Therefore, substituting t=42, r=0.02, and A₀=120000 we get:
[tex]A=120000(1+\frac{0.02}{12})^{12\cdot42}\text{.}[/tex]Simplifying the above result we get:
[tex]\begin{gathered} A=120000(1.001\bar{6})^{504} \\ \approx120000\cdot2.314747889 \\ \approx277769.75 \end{gathered}[/tex]Answer: $277,769.75.
Find the whole. 500% of what number is 3,650
Answers
To find 500% of a number, you have to multiply that number by 500 and then divide by 100. Calling x to the unknown number, the situation is:
[tex]x\cdot\frac{500}{100}=3650[/tex]Solving for x,
[tex]\begin{gathered} x\cdot5=3650 \\ x=\frac{3650}{5} \\ x=730 \end{gathered}[/tex]500% of 730 is 3650
+ 308 - 126 =450 what number can make the equation true
Answers
answer: the number is 268
Solve 2 - x= -7. O A. x=9 X B. X= 5 C. x= -9 D. x= -5
Answers
2 - x = - 7
Adding x at both sides of the equal signe, we get:
2 - x + x = - 7 + x
2 = -7 + x
Adding 7 at both sides:
2 + 7 = -7 + x + 7
9 = x
I need help solving some equations
Answers
SOLUTION
Write out the expression
[tex]12y-18y[/tex]The expression above are like terms, hence we can subtract them together
[tex]12y-18y=(12-18)y=-6y[/tex]Therefore,
Answer: - 6y
Classify the pair of numbered angles A consecutive interior B corresponding C alternate exterior D alternate interior
Answers
When we have a pair of angles on the same side of the transversal but one interior to the parallels and one exterior, we can deduct that those are angles are classify as corresponding angles, which are always congruent.
Therefore, the answer is B. corresponding angles.your sister is looking for a way to increase the amount she is earning on her savings account. what should she do?
Answers
The thing that she can do to increase the savings is A. Deposit money into her savings account each month.
What should she do?Your information is incomplete and the complete question is written below. Savings accounts offer interest based on the balance. Therefore, you can boost the interest you receive on a savings account by making a deposit each month. By doing so, you will increase the account's total balance and, consequently, the interest rate.
The alternate selections are incorrect since doing so will result in a decrease in the amount of money in the savings account and a reduced rate of interest. Instead, use the money to open a checking account.
Note that the complete question is attached.
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Your sister is looking for a way to increase the amount of interest she is earning on her savings account. What should she do?
A. Deposit money into her savings account each month
B. Use the money from her savings account to open a checking account instead
C. Switch to a savings account with a lower interest rate
D. Make monthly withdrawals from her savings account
help meeeeeeeeeeeeee
Answers
Answer:b
Step-by-step explanation:
PLEASE HELP ASAP!!!!! DUE SOON!!! FULL ANSWER!!!!!
One inlet pipe can fill an empty pool in 6 hours, and a drain can empty the pool in 15 hours. How long will it take the pipe to fill the pool if the drain is left open? Express your answer as a reduced fraction.
_____________ hours
Answers
Answer:
10 hours
Step-by-step explanation:
we need to know how fast it is filling up per hour:so we do 100=6xwe divide 6 by both sides[tex]\frac{100}{6} =\frac{6x}{6}[/tex]we get x=16.66666667now we need to know what %will drain per hrso the equation is 100=15ynow we need to divide by both sides[tex]\frac{100}{15} =\frac{15y}{15}[/tex]and we get y=6.666666667now that we have the input (x) and output (y) per hour we are going to find the difference 16.66666667-6.666666667=10 now we know that if we leave the drain open while we fill it, each hour it will fill %10now we have to figure out how many hours it will take1=0.1x (0.1 is %10 in decimal form)(1 is %100 in decimal form)we divide 0.1 into both sides[tex]\frac{1}{0.1}=\frac{0.1x}{0.1}[/tex]and we get 10 hoursWhat is the value of x in the triangle?
3 square root 2
x
Answers
1) Note that this is a right triangle, and we can tell an isosceles one by the marks on the triangle.
2) So, we can use the Pythagorean Theorem, to find the side lengths since all we know for now is the hypotenuse:
[tex]\begin{gathered} a^2=b^2+c^2 \\ (3\sqrt[]{2})^2=x^2+x^2 \\ 2x^2=9\cdot2 \\ 2x^2=18 \\ \frac{2x^2}{2}=\frac{18}{2} \\ x^2=9 \\ x=\sqrt{9},\: -\sqrt{9} \\ x=-3,3 \end{gathered}[/tex]We can discard the negative value for there is no negative length. So, the answer is 3
In three days Carter drove 2196 miles in 36 hours behind the wheel. The first day he averaged 64 mph, the second day 62 mph, and the third day 58 mph. If he drove 4 more hours on the third day than on the first day, then how many hours did he drive each day? I have x=z+4 and that's all, I need the other two equations please helpp.
Answers
Answer:
first day=10 hours, second day=12 hours, third day=14 hours
Step-by-step explanation:
64+62+58=
126+58=184
o=day 1. t=day 2. th=day 3
o+t+th=36
o+4=th
64o+62t+58th=2196
(o+t+th=36)*58
58o+58t+58th=2088
64o+62t+58th=2196
-(58o+58t+58th)=2088
6o+4t=108
o+t+th=36
o+t+o+4=36 ==> th=o+4
2o+t+4=36
2o+t=32
(2o+t=32)*3
6o+4t=108
-(6o+3t=96)
t=108-96
t=12
2o+12=32 ==> 2o+t=32
2o=20
o=10
o+4=th
10+4=14
th=14
o=10, t=12, th=14
Help pls consider this matrix transformation what is the image of
Answers
The image under the given transformation is [tex]\left[\begin{array}{ccc}-7\\10\end{array}\right][/tex] .
A matrix that transforms one vector to another vector by the process of matrix multiplication is transformation matrix.
A = [tex]\left[\begin{array}{ccc}-1&-2\\4&-1\\\end{array}\right][/tex] is to be solved with [tex]\left[\begin{array}{ccc}3\\-2\\\end{array}\right][/tex]
In linear transformation, T(x) = Ax
Lets say, Ax = B
Here, B = image of x under this transformation
B = Ax
= [tex]\left[\begin{array}{ccc}-1&-2\\4&-1\\\end{array}\right][/tex][tex]\left[\begin{array}{ccc}3\\-2\\\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}3*-1+-2*-2\\4*3+-1*-2\\\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}-3+-4\\12+-2\\\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}-7\\10\end{array}\right][/tex]
Therefore, we can conclude that the image under the given transformation is [tex]\left[\begin{array}{ccc}-7\\10\end{array}\right][/tex].
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Question 3 Find the Area 64 G H r = 9 in
Answers
Answer:
[tex]A_{\sec tor}=45.216in^2[/tex]
Explanation: We need to find the area of the shaded sector that has an angle of 64 degrees:
We can reason that it must be the portion of the total area of the circle, and we also know the radius of the circle:
The area of the circle is:
[tex]A_{circle}=\pi r^2=\pi(9in)^2=81\pi=254.31in^2[/tex]The area of the sector is:
We know that 64 degrees are part of the full circle which is 360 degrees, therefore:
[tex]\begin{gathered} \frac{64}{360}=\frac{A_{\sec tor}}{A_{circle}}\rightarrow\frac{64}{360}=\frac{A_{\sec tor}}{254.31} \\ \therefore\rightarrow \\ A_{\sec tor}=\frac{254.31\times64}{360}=\frac{16,277.76}{360}=45.216in^2 \\ A_{\sec tor}=45.216in^2 \end{gathered}[/tex]Here are 4 triangles that have each been transformed by adifferent transformation. Which transformation is not a rigidtransformation?
Answers
Rigid transformation is a geometric transformation of a Euclidean space that preserves the Euclidean distance between every pair of points. The rigid transformations include rotations, translations and reflections
Option A is a translation then is rigid
Option B is a rotation then is rigid
Option C is a reflection then is rigid
Option D is a dilation and translation then is not rigid because the dilation is not a rigid transformation because the size of the objects is different
then right o
Which of the following is the average rate of change over the interval [-5, 10] for the function g(x) = log2 (x+6)-3
A.4/5
B.5/4
C.4/15
D.15/4
Answers
It's answer is option(C) i.e, 4/15
What is Average rate of change?
The average rate of function f over the interval a≤x≤b is given by ,
(f(b) - f(a)) / (b - a)
It is the average amount by which the function changed per unit throughout that time period.
In this question the equation is given,
g(x) = log2 (x+6)-3
Solve this eq. by putting the values [-5, 10],
let, interval [-5, 10] = [a, b]
Then solve for g(a) and g(b), we know g(a) = g(-5),
g(-5) = log₂(-5+6) - 3
= log₂1 - 3
= 0 - 3
g(-5) = -3
Now, for g(b) = g(10)
g(10) = log₂(10+ 6) - 3
= log₂16 - 3
= 4 - 3
g(10) = 1
Now put these values in average rate formula,
Average rate = (g(b) - g(a)) / (b - a)
= (1 - (-3)) / (10 - (-5))
= (1 + 3) / (10 + 5)
= 4 / 15
Therefore, the average rate is 4/15 i.e, option(C)
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Answer: C. 4/15. I took the test and got it right.
Step-by-step explanation:
Write a division problem with a quotient greater than 20 less than 25? What do you guys think?
Answers
Answer:
hmmm, how about 242 divided by 11? the answer is 22 r0
Step-by-step explanation:
How many times more robberies were there actually in year 2 compare to year 4 round your answer to2 decimal places
Answers
If we want to know how many times more robberies were in year 2 copare to year 4 we must take the number of robberies during year 2 and divide it by the number of robberies during year 4. If you take a look at graph A you'll notice that the bar above year 2 has its top at 285 and the bar corresponding to year 4 at 220. Then there were 285 robberies in year 2 and 220 in year 4 so we get the following:
[tex]\frac{285}{220}=1.295[/tex]AnswerIf we round to two decimal places the answer is 1.30 times more robberies.
Vladimir is looking to retire in 10 years. He has a plan to put $25,000 into an investment today that earns interest at a fixed amount per year. What would be a reasonable domain and range for a function modeling the total amount of the investment, including interest?explain your answer
Answers
If Vladimir is looking to retire in 10 years and he has planned to put $25,000 into an investment from today itself, that earns interest at a fixed amount per year, considering the rate of interest to be (R%) per annum, the domain and range for a function modeling the total amount of the investment, including interest are as follows:
Domain [X = {0 ≤ years ≤ 10}]
Range (total amount), [Y = {$25,000 ≤ Y ≤ 25,000( 1 + 10R)}]
As per the question statement, Vladimir is looking to retire in 10 years and he has planned to put $25,000 into an investment from today itself, that earns interest at a fixed amount per year, and since there is no information about the rate of interest of that investment, we are considering the rate of interest to be (R%) per annum.
We are required to determine the domain and range for a function modeling the total amount of the investment, including interest using the question statement mentioned data and our assumptions.
Since the starting principal amount, say P is $25,000, given,
Time of investment, say T is 10 years, also given,
And considering the interest rate per year to be R (%),
Then after 10 years, the total amount Vladimir has is [25000( 1 + xR)].
Where, the Domain (No. of years ) is [X = {0 ≤ years ≤ 10}]
And Range (total amount), [Y = {$25,000 ≤ Y ≤ 25,000( 1 + 10R)}]
Domain of a Function: In mathematics, the domain of a function is the set or group of inputs that is accepted by the function.Range of a Function: In mathematics, the range of a function is the set or group of outputs produced by the function using values from its domain.To learn more about Domain and Range of a Function, click on the link below.
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help meeeeeeeeee pleaseee
Answers
Answer:
solid photo
Step-by-step explanation:
