Which of the following functions has a maximum value of m, where m is a positive constant?
With explanation please.
Answers
The value of m in the fourth equation does not tend to zero, hence the function that has a maximum value of m, where m is a positive constant is[tex]f(x)=-(m+x)^2[/tex]: Option D is correct.
For any function to have a maximum, the differential of the function must be equal to zero.
If the functions in options A and B and C are differentiated and equated to zero, the values of m in each function will tend to zero as well.
For the function [tex]f(x)=-(m+x)^2[/tex]
[tex]f'(x) = -2(m+x)\times 1\\f'(x)=-2(m+x)\\0 = m+x\\m = -x[/tex]
Since the value of m in the fourth equation does not tend to zero, hence the function that has a maximum value of m, where m is a positive constant is[tex]f(x)=-(m+x)^2[/tex]
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Related Questions
In the equation x² + 64 = 16x, the roots are ____.
Answers
Answer:
square roots are x, 8, 4x
Step-by-step explanation:
x^2 square root is x
64 square root is 8
16x square root is 4x
If 60 of 200 people in a restaurant have ordered salads, then what % of customers have ordered salad?
Answers
Answer:
30%
Step-by-step explanation:
a business has recently made some upgrades to their shop that cost them $1,200. Normally, this business has a running cost of $50 per hour, and they have an income of $80 per hour. How many hours will it take for this business to recover the costs from the upgrades, and how much income will they have brought in by then
Answers
Answer:
9.23 hours to recover the money spent.
Step-by-step explanation:
50+80=130
130x 9=1170
130x9.23=1200
One student solved the inequality -4 > x/-7 and got 28 < x. Another student solved the inequality and got x > 28. Are they both correct? Explain.
Answers
Answer: solutions are the same, just written differently, inequality sign is reversed when multiplying. Yes, both students are correct. When multiplying by –7, the inequality symbol+ is reversed. The answers are the same, just written differently.
Step-by-step explanation: Happy to Help. Brainliest Please
is it true that if one of the factors is 0, the product is 1?
Answers
Answer:
The Principle of Zero Products states that if the product of two numbers is 0, then at least one of the factors is 0. (This is not really new.) If ab = 0, then either a = 0 or b = 0, or both a and b are 0.
hope it helped
Answer:
0
Step-by-step explanation:
Use the Quadratic Formula to solve for x and then determine whether your solution is real or
complex.
y = x2 + 5x + 6
** Remember y = 0 **
Real
o Complex
1
Answers
Answer:
[tex] x = -2 [/tex] or [tex] x= -3 [/tex]
The solution is real.
Step-by-step explanation:
x^2 + 5x + 6 = 0
[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]
[tex] x = \dfrac{-5 \pm \sqrt{5^2 - 4(1)(6)}}{2(1)} [/tex]
[tex] x = \dfrac{-5 \pm \sqrt{25 - 24}}{2} [/tex]
[tex] x = \dfrac{-5 \pm \sqrt{1}}{2} [/tex]
[tex] x = \dfrac{-4}{2} [/tex] or [tex] x = \dfrac{-6}{2} [/tex]
[tex] x = -2 [/tex] or [tex] x= -3 [/tex]
The solution is real.
For every five candy bars David sells, he earns $1. How many candy bars he sell to earn $15 please help
Answers
Answer:
75
Step-by-step explanation:
5 candy bars =1 dollar what about 15 dollars
Answer:
75 candy bars
Step-by-step explanation:
because 15 x 5 = 75. we got 15 because that's the total amount of money he got and we got 5 because every 5 candy bars.
3 3/4 × 2 10/11 Enter your answer as a mixed number in simplest form by filling in the boxes.
Answers
Answer:
10 10/11
Step-by-step explanation:
Answer:
10 10/11
Step-by-step explanation:
3 3/4 × 2 10/11
15/4 * 32/11
480/44
120/11
10 10/11
C increased by 8 can I get help
Answers
Answer:
the answer based on the information provided is c + 8
Step-by-step explanation:
8 added to C is c + 8, since they are unlike terms
35005 multiplied by
6 =
Answers
Any other questions
Answer:
210030
Step-by-step explanation:
You can use a calculator.
lost on what to do here.
Answers
Answer:
x = 45
Step-by-step explanation:
180-136 = 44
x - 1 = 44
x = 44 + 1
x = 45
x = 45°
Step-by-step explanation:
The two angles are supplementary so
[tex]136° + (x-1) = 180°[/tex]
[tex]\Rightarrow x - 1 = 44°[/tex]
or
[tex]x = 45°[/tex]
solve pls brainliest
Answers
Answer:
36-9w or -9w+36
Step-by-step explanation:
Distributive Property - a(b-c) = ab-ac
Using that, we have-
9(4-w) = 9(4) - 9(w) = 36-9w
Answer = 36-9w or -9w+36
Thank you! Please Mark Brainliest! :)
Answer:
36-9w
Step-by-step explanation:
9*4=36
9*w=9w
36-9w
if x=-y+3 and 3x-2y=-1 what is the value of x and y
Answers
Answer: x=1, y=2
Step-by-step explanation:
3(1) - 2(2)=-1
FIND THE MESURES OF THE ANGLES. FIND TWO. ANSWER CHOICES:
A: 131
B: 180
C: 90
D: 49
Answers
Answer:
d . 49
Step-by-step explanation:
180-131 ( supplementary angle)
= 49°
Answer:
=D 49
.......................
2/3 - x = 3x-2/4 - 2(x+3)/3
please help me ASAP
Answers
Answer:
x = [tex]\frac{19}{20}[/tex]
Step-by-step explanation:
Decimal: x = 0.95
in pic
(Hope this helps can I pls have brainlist (crown)☺️)
Carolina is mowing lawns for a summer job. For every mowing job, she charges an initial fee plus $6 for each hour of work. Her total fee for a 4 hour job, for instance, is $32.
Let y represent Carolina's fee (in dollars) for a single job that took x hours for her to complete.
Complete the equation for the relationship between the fee and number of hours.
y=______
Answers
Answer:
y=6x+8
Step-by-step explanation
correct on khan ;)
Anyone can solve theses questions for me?
Answers
Answer:
4. Ty 5. Store A
Step-by-step explanation:
4. 750/3 is 250, 800/4 is 200, and 950/5 is 190 so i think it would be Ty
Andre Rick Ty
5. for Store A- 4 pairs of jeans is $120 so if you divide that which is 120/4 it gives you 30 so it would mean your paying $30 for each pair of jeans
for Store B- 2 pairs of jeans will cost you $100 so if you add 50+50 it gives you a hundred so it means your paying $50 for each pair of jeans
for Store C- 3 pairs of jeans is $99 so if you divide 99/3 its 33 which means you would be paying $33 dollars for each pair of jeans
so out of all of then Store A gives you the best deal.
1 * w^3
how do you multiply these together
Answers
9514 1404 393
Answer:
w^3
Step-by-step explanation:
The multiplicative identity element is 1. That means 1 times anything is just that thing.
1 × w^3 = w^3
_____
Additional comment
That is one of the reasons why a coefficient of 1 is (almost) never shown.
In algebra, multiplication can be indicated a number of ways.
ab . . . . placing values next to each other (sometimes with a small space)
(a)(b) . . . . placing values next to each other with either or both in parentheses
a·b . . . . . using a multiplication symbol between the values.
There are several different multiplication symbols in common use:
* — asterisk
· or • — centered dot
× — centered "x" multiplication symbol
x — the lower-case letter x (when it cannot be confused with a variable)
. — a period (when it cannot be confused with a decimal point). This is uncommon in the US, but is seen occasionally when some of the other symbols are not available. It is more common outside the US.
_____
The multiplication of a constant and a variable expression cannot actually be accomplished. It can only be "indicated." If you wanted to multiply 2*w^3, that product would be indicated in any of the ways described above. Perhaps the simplest and least-confusing to most people is ...
2w^3
Multiplying 1*w^3 can be indicated the same way: 1*w^3. In view of the special treatment given to a coefficient of 1, we would not simplify this to
1w^3
Rather, we would simplify it to ...
w^3
what decimal is equivalent to 8 9/100
Answers
Answer:
8.09
Step-by-step explanation:
8.09 I think. I’m not positive but I think so.
the greatest common factor of 12 and 26 pls explain the steps
Answers
Step-by-step explanation:
12- 2*6
26- 2*13
gcf =2
the least greatest common factor is 2
What is the following quotient? 6-3( 3 square root 6/ 3 square root 9
Answers
Answer: The last option is the answer
3(3 root 3)-3(3 root 2)
Find the inverse function.
f(x) = x + 1
f-1(x) = (x + [? ])[ ]
Answers
Answer:
the inverse function is f^-1(x) = (x-1)^3
100 points and brainliest if you answer all 48 question fast hurry and no link and no wrong answer
Answers
Answer:
D = 26°
Step-by-step explanation:
Opposite Angle Theorem
Answer:
There are no 48 questions but the answer to this one I think is the 4th choice
(my opinion)
Step-by-step explanation:
Length of rectangle is 4 m less than 3 times its breadth. If the perimeter of rectangle is 32 m. Find its length and breadth B=12
Answers
Answer:
Length = 11m and the Breath = 4m
Step-by-step explanation:
L = 3B - 4
p = 32m
2( L + B ) = 32
L + B = 32/2
L + B = 16
(3B - 4) + B = 16
3B - 4 + B = 16
4B - 4 = 16
4B = 16 + 4
4B = 20
B = 20/4 = 5m
B = 5m
L = 3B - 4
L = 3(5) - 4
L = 15 - 4
L = 11m
please brainliest
6. Han followed these instructions to make the image. a. Given line), mark 2 points on the line b. Construct congruent circles a and b centered at the points on ). c. Construct line e through the intersection points of a and b. d. Construct circle e centered at 1 intersection point of a and ó. Mark the 2 intersection points of d'and. e. Construct aangruent carcles Anand i centered at the points on g. Construcline through the intersection points of Anand Write a statement about each pair of lines in this construction. (3 statements) pls help
Answers
Three statements are as follows -
1. It is a straight line drawn with a straightedge and cuts across the lines.
2. Both drawn with the same compass width.
3. Corresponding parts of congruent triangles are congruent.
This construction works by using the fact that a transverse line drawn across two parallel lines creates pairs of equal corresponding angles. It uses this in reverse - by creating two equal corresponding angles, it can create the parallel lines.
This is how to construct a line parallel to a given line that passes through a given point with compass and straightedge or ruler. It is called the 'angle copy method' because it works by using the fact that a transverse line drawn across two parallel lines creates pairs of equal corresponding angles. It uses this in reverse - by creating two equal corresponding angles, it can create the parallel lines.
Hence the three statements of the image are -
It is a straight line drawn with a straightedge and cuts across the lines. Both drawn with the same compass width.
Corresponding parts of congruent triangles are congruent.
To learn more about construction of image
visit - https://brainly.com/question/9213097
#SPJ1
solve pls brainliest
Answers
Answer:
For the first question, it's the third line, the second one after zero.
For the second question, it's the 7th line in total, the 6th one after zero.
Step-by-step explanation:
Ratio from boys to girls is 2:3. There are 300 fatal kids in the school. How many boys are in the school?
Answers
Answer:
180
Step-by-step explanation:
2:3 = 300
2x +3x = 300
5x = 300
x = 300/5
x= 60
2X60= 120 (girls)
3X60= 180 (boys)
if u want to to check whether the ans is correct then try adding your outcomes 120+180 that is = 300 . so the correct ans is 180.
( sorry for the wired question )
researchers in New York city did a study on ice cream sales and murder rates in the city. this graph was included in the results
after seeing this graph as a picture with the headline "ice cream sales causes murder rates to increase" shared on social media by her best friend's second cousin, the president of a prominent HOA in the Hamptons decided to petition to ban the sale of ice cream so that people would stop being murdered .
this is the question - compare and contrast what you see on the graph.
second part to the question - was the HOA president right for doing so ? what other factors could have contributed to both the rise in ice cream sales and murders? is this an example of correlation or causation?
Answers
The presence of a correlation between statistical variables is an indication
of the existence of a relationship variables, it however, does not imply
direct causation.
Part one:
The similarities of the graphs are;
The rate of change in the sale ice cream and rate of murder are almost equal.The peak of ice cream sales and murder rate occur at the same time of the year.The rate of decrease in the sale of ice cream and murder rate are equal between the months of July and December.The differences are;
The shape of the ice cream sale graph is more bell shapes than the graph of murder rates.The murder rates occur over a slightly more longer period than than the sale of ice cream.There is a sharp decrease in the murder rate in the month of February while the ice cream sales increases steadily from January to July.Second part;
The HOA president's petition is in line with the social media post based on the graph.
The graph shows a strong correlation between murder rates and ice cream sales, however, selling ice cream, and murder are unrelated events.
The correlation between the sale of ice cream and murder is an indication of the existence of a common third factor.
Based on the time of the year dependence of the two variables, which corresponds to hot and cold weather, there is a correlation of both the murder rate and ice cream sales with temperature.
Therefore, the HOA president is not right for doing so
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hey can u please help i will give brainliy if u get it right :)
Answers
9514 1404 393
Answer:
400 minutes
Step-by-step explanation:
The cost of the first plan is ...
A = 14 + 0.15m . . . . . . . . where m is the number of minutes used
The cost of the second plan is ...
B = 30 + 0.11m
The costs will be equal when ...
14 +0.15m = 30 +0.11m
0.04m = 16 . . . . . . . . . . . . . subtract 14+0.11m from both sides
m = 400 . . . . . . . . . . . . . . . divide by 0.04
The plans will have the same cost for 400 minutes of calls.
Help please! I’m a bit young so it might be easy for you! Can you please tell me this and maybe I’ll understand? Giving brainliest!
Answers
Answer:
2.36 miles
Step-by-step explanation:
subtraxt them from each other