There is no maximum value for 2x2y in the domain of nonnegative numbers since the derivative is a constant (24), which indicates that the function 24x is rising for all nonnegative x values.
The largest value that a function can accept inside a particular domain is known as the maximum value of a function in mathematics. The maximum value can either be a global maximum, which is the biggest number throughout the entire function domain, or a local maximum, which is the largest value within a specific area.
Calculus and optimisation issues are two areas of mathematics where determining a function's maximum value is crucial. Finding the crucial points of a function, setting the derivative's value to zero to identify those places, and then evaluating the function at those points and the domain's endpoints will yield the function's greatest value.
To find the maximum value of 2x2y given that xy=12 and both x and y are nonnegative numbers, we can follow these steps:
Step 1: Express y in terms of x using the given equation xy=12.
y = 12/x
Step 2: Substitute y in the expression we want to maximize, which is 2x2y.
2x2y = 2x2(12/x) = 24x
Step 3: To find the maximum value of 24x, we can use calculus by taking the first derivative with respect to x and set it equal to 0 to find the critical points.
[tex]d(24x)/dx = 24[/tex]
Since the derivative is a constant (24), it means that the function 24x is increasing for all nonnegative x values, and there's no maximum value for 2x2y within the domain of nonnegative numbers.
Learn more about nonnegative numbers here:
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A pair of shoes cost $75. This is $35 less than the cost of a pair of jeans write and solve an equation,Using n for the variable to find the cost of the jeans
Answer:
n=75 pair of shoes
n-75=35 equation
n=35+75=110
cost of jeans=110
Find the sum. Write your answer in simplest form. - 4 1/6 + 5 4/7
Answer:
1 17/42.
Step-by-step explanation:
Find the common denominator, which is 42.
So change -4 1/6 to -4 7/42.
And change 5 4/7 to 5 24/52.
So add -4 7/42 + 5 24/52 and you'll get: 1 17/42.
(The decimal form of this is 1.404762)
2. What is 45% of 90?
O A. 40.5
OB 45
O 0.50
OD 200
Answer:
this would be the answer 40.5.
Take the 90 and multiply it by 45. Then multiply that by . 01.
who's your favorite grey's anatomy character?
Answer:
Mc Steamy
Step-by-step explanation:
HELP URGENT PLEASE !!!!!!!!!!!!!!!!!!
Answer:
y=69*43
Step-by-step explanation:
this is not correct because the words are writen
What is the answer for x?
5=-2.5x+8
Find the value x.
Need help....thank you
Step-by-step explanation:
It is parallel to the third side and has a length equal to half the length of the third side.
so
x= 34/2= 17
x= 17
Use the graph of the polynomial function to find the factored form of the
related polynomial. Assume it has no constant factor.
A. (x + 1)(x-7)
B. (x + 1)(x + 7)
C. (x - 1)(x-7)
D. (x - 1)(x + 7)
The factored form of the related polynomial function is (x - 1)(x - 7).
What is polynomial function ?Polynomial function is a function that involves non-negative integer powers or positive integer exponents of a variable in an equation like the quadratic equation, cubic equation.
We have,
In the graph given in question, we can see that x - intercepts the axis twice.
And graphs behave differently at various x - intercepts. Sometimes the graph will cross over the x-axis at an intercept and other times the graph will touch the x-axis and bounce off.
Now, in graph;
The intercept at x = 1 ,
i.e. the solution of the x - 1 = 0 and passes through the axis.
Now,
The x - intercept at x = 7, is the solution of x - 7 = 0 and again passes through the axis.
So, from the above statements we can say that the factored form of the related polynomial is (x - 1)(x - 7)
Thus, we can say that the factored form of the related polynomial function is (x - 1)(x - 7).
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Question 1
Write an equation of the line parallel to y = –3x + 8 through (1, –4).
Question 2
Write an equation of the line perpendicular to y =1/3x – 5 through (–6, 2).
a(9b+13) in expanded form
What is the average rate of change for this quadratic function for the interval
from x= 1 to x = 3?
X
-5
5
-10+
Answer: -4
A P E X
Step-by-step explanation:
Please can someone help me I can’t fail this test
Answer:
x=7 y=4
Step-by-step explanation:
couldnt really see the question but i hope this helps
Write an equation in standard form passing through the points (-2,0) and (-3,-1).
What is the value of the expression shown below? 2 over 3 to the power of 2 + 5 × 2 − 4 (4 points)
a 6 and 8 over 9
b 6 and 4 over 9
c 6 and 2 over 3
d 6 and 1 over 3
Answer: It equals 8.
Step-by-step explanation:
Which correctly explains how to estimate 55 percent of 64?
Round 55 percent to 40 percent and 64 to 60. Think of 40 percer
Round 55 percent to 60 percent and 64 to 70. Think of 60 percent
Round 55 percent to 50 percent and 64 to 70. Think of 50 percent a
O Round 55 percent to 50 percent and 64 to 60. Think of 50 percent as
Answer:
i wanna say b
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
because i ate hamburger
need help please will mark you brainliests please give reason to
Answer:
angle BAD = 180 -2x
angle BCD = x given
angle BCD is an inscribed angle
angle DOB = 2 (angle BCD)
angle BAD = 180 -angle DOB 2 tangent theorem
Step-by-step explanation:
Answer:
[tex] m\angle BAD= (180 - 2x)\degree [/tex]
Step-by-step explanation:
[tex] m\widehat {BD} =2\times m\angle BCD[/tex]
(By inscribed angle theorem)
[tex] m\widehat {BD} =2x\degree [/tex]
[tex] m\widehat {BCD} =360\degree - m\widehat {BD}[/tex]
(By arc sum property of a circle)
[tex] m\widehat {BCD} =360\degree - 2x\degree [/tex]
[tex] m\angle BAD=\frac{1}{2} (m\widehat {BCD}-m\widehat {BD}) [/tex]
(by property of intersecting tangents outside of the circle)
[tex] m\angle BAD=\frac{1}{2} [(360\degree - 2x\degree) -2x\degree] [/tex]
[tex] m\angle BAD=\frac{1}{2} (360\degree - 2x\degree -2x\degree) [/tex]
[tex] m\angle BAD=\frac{1}{2} (360\degree - 4x\degree) [/tex]
[tex] m\angle BAD=\frac{1}{2} \times 2(180\degree - 2x\degree) [/tex]
[tex] m\angle BAD= (180 - 2x) \degree [/tex]
Tres hermanos van a repartirse un pastel y medio, cuanto le toco de pastel a cada uno de los hermnos
Answer:
medio pastel cada uno
Step-by-step explanation:
Hay 3 hermanos, si decimos que un pastel entero tiene 6 pedazos entonces su fraccion seria 6/6. Si dividimos este pastel entre los tres hermanos cada uno tendria...
[tex]\frac{6 / 3}{6}[/tex] = [tex]\frac{2}{6}[/tex]
Medio pastel seria la mitad de 6/6 que seria 3/6. Si dividimos esto entre los 3 hermanos cada uno tendria...
[tex]\frac{3 / 3}{6} = \frac{1}{6}[/tex]
Ahora que dividimos los 2 pasteles tenemos que unir las fracciones para saber cuanto pastel le toco a cada hermano...
[tex]\frac{2}{6} + \frac{1}{6} = \frac{3}{6}[/tex] o medio pastel cada uno
Find the slope!! Please
Answer:
The slope is -(1/3)
Step-by-step explanation:
For every 3rd step, the y-value decreases by 1 and the line intersects the y-axis in (0,1).
This observation yields the following equation for your line:
f(x) = y = -(1/3)x + 1
Therefore, the slope is -(1/3).
Using ABC, identify the ratio for sine of C
Answer:
BA / AC
Step-by-step explanation:
Given the triangle ABC;
To obtain the Sin C
Defining the attached triangle with respect to C:
Sine = opposite / hypotenus
Sin C = BA / AC
Hence, the ratio of sinC is BA /AC
Out of the 96 customers at Jamie's boutique, 28 wore a size medium.
What is the probability that a randomly selected customer wore a size medium?
Answer:
7/24
Step-by-step explanation:
The probability would be 28/96, but we can simplify this fraction:
Divide 2 on both sides:
14/48
Divide 2 again:
7/24
So 7/24 is your answer! :) I hope I helped!
Jasmine correctly answered 9 out of 10 of the game questions. What percent did she answer correctly.
what is 5/6 -3/8 ........
Answer:
11 over 24 = 0.458
Step-by-step explanation:
Cole rides his bike to the ballfield starting from home. This
describes his trip:
A. Rides quickly downhill toward the field
B. Stops to wait for a friend
C. Rides slowly uphill toward the field
Drag a segment to each box to show the shape of the graph of
Cole's distance from home for each interval of time.
Describe the lines to chose as line 1 2 etc please
Answer: first line will be the on down the the right line 3... next the one with the straight line line 1 ..... then the fourth line slowly back upward
Step-by-step explanation:
Answer:
PartA: /
PartB: __
PartC: / its this one but less steeper(the second to last answer on the right)
Step-by-step explanation:
A rectangular garden has a length of 8 feet and a width of 5 feet. The entire garden
is surrounded by walkway of uniform width. What does the algebraic expression
(2w+8)(2w+5) represent in this context?
A. the area of the garden only
B. the total area of the garden and walkway
C. the perimeter of the garden only
D. the perimeter of the walkway only
Answer:
b
Step-by-step explanation:
Solve the two-step inequality and match the answer to the graph
Answer:
(see below; answers at the bottom)
Step-by-step explanation:
-4x + 7 ≥ 27
-4x ≥ 20
-x ≥ 5
Whenever you multiply or divide by a negative number in an inequality, flip the sign:
x ≤ -5
x/1 - 9 < -10
x - 9 < -10
x < -1
3x - 10 < -25
3x < -15
x < -5
5 (x - 2) > -15
Use Distributive Property:
5x - 10 > -15
5x > -5
x > -1
A) x < -5
So, A) 3x - 10 < -25.
B) x ≤ -5
So, B) -4x + 7 ≥ 27.
C) x < -1
So, C) x/1 - 9 < -10.
D) x > -1
So, D) 5 (x - 2) > -15.
Given that 3 apples and 4 pears cost $1.95, 4 pears and 1 orange cost $1.60, and 1 orange and 3 apples cost $1.15, what is the cost of 1 apple?
Answer:
Step-by-step explanation:
Given that 3 apples and 4 pears cost $1.95, 4 pears and 1 orange cost $1.60, and 1 orange and 3 apples cost $1.15, what is the cost of 1 apple?
Let us represent
Number of apples = x
Number of pears = y
Number of oranges = z
Given that
3 apples and 4 pears cost $1.95
3x + 4y = 1.95
4 pears and 1 orange cost $1.60
4y + z = 1.60
z = 1.60 - 4y
1 orange and 3 apples cost $1.15
z + 3x = 1.15
z = 1.15 - 3x
what is the cost of 1 apple?
10(x-5)= -80
what is the value of the x
Answer:
x = -3
Step-by-step explanation:
10(x-5) = -80
10x - 50 = -80
10x -50 + 50 = -80 + 50
10x = -30
10x ÷ 10 = -30 ÷ 10
x = -3
3 cm
20 cm
8 cm
5 cm
Find the lateral surface area of the solid above.
Answer:
320 cm sq
Step-by-step explanation:
Help please! I need asap
Answer:
b
Step-by-step explanation:
Answer:
B.137
Step-by-step explanation:
Its an obtuse angle
please help me you will be my fav person ever if u do
Answer:
The answer are 1_ ASA
2_ SSS
3_ SAS