Three hundred yards of fencing is being used to fence in a rectangular garden. The area of the garden is modeled by a quadratic function of the rectangle’s width, A(w). What does the second coordinate of the vertex of the quadratic function. A(w), represent?
the minimum width that can be used for the fencing
the maximum area that can be enclosed by the fencing
the width that gives the maximum area
the length that gives the maximum area
Answers
9514 1404 393
Answer:
the maximum area that can be enclosed by the fencing
Step-by-step explanation:
If the width of the garden is w (in yards), then the length of the garden is (150-w) and the area is ...
A(w) = w(150 -w) = -(w² -150w)
A(w) = -(w² -150w +75²) +75²
A(w) = -(w -75)² +5625
In this vertex form, the vertex is (75, 5625).
The graph of area versus width is a parabola that opens downward, so the vertex second coordinate is the maximum area that can be enclosed.
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Have a nice day, fam. Spread The Love.
Determine the x- and y-
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O (-5,0) and (0, 2)
(2.0) and (10,0)
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Answers
Given that the quadrilateral shown is a parallelogram, which statements are correct?
A)
mZA = 950
B)
mZB = 65
C)
mZC = 959
D)
AD = 8
E)
DC = 12
Answers
Answer: I know that DC is 12 and AD=8 the others i dont know.
Step-by-step explanation:
This is because opposite sides of a parallelogram are parallel and congruent. therefore AB and DC are equal/congruent.
32 pages to 28 pages.
Answers
Answer:
12.5%
Step-by-step explanation:
percent change is calculated as
[tex]\frac{change}{original\\}[/tex] x 100
change = 32 − 28 = 4 pages
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Please help me
Adjust to compatible numbers that count by 50s, and then subtract to
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301 - 52 =
Answers
Answer:
249
Step-by-step explanation:
301 - 52 = 249
Find the equation (in terms of x ) of the line through the points ( − 5 , 4 ) and ( 4 , 0 ) . Express your answer in slope-intercept form
Answers
Answer:
Equation = 4x + 9y = 16Step-by-step explanation:
co-ordinate = (-5.4) & (4,0)
slope(m) = (y² - y¹) / (x² - x¹)
slope(m) = (0-4) / (4+5)
slope(m) = -4 / 9
Equation,
y = mx + c
y - 0 = -4/9 (x - 4)
9y = -4x + 16
4x + 9y = 16
please help me with this :D
Answers
Answer:
b=24
Step-by-step explanation:
the sides are equal to each other so
b+24=2b
24+24=2 times 24
48=48
so b=24
Which are undefined terms that can be used to define other terms?
O point, segment, ray
O point, line, plane
O line, plane, cube
O line, ray, angle
Answers
Answer:
Point, Line, Plane
Step-by-step explanation: They are undefined terms because its is easier to define them using examples rather than word for word
Mischa wrote the quadratic equation 0=-x^2+4x-7 in standard form. If a = -1, what is the value of c in her equation?
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Answers
C= -7
Solve for m Help please
Answers
Here m = angle UST
angle UST= 90° - 32° = 58°
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Answers
Answer:
125+ 4(55)
Step-by-step explanation:
345 is the answer
give brainliest if right
Marking as brainiest
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Answer:
Step-by-step explanation:
if a shape called rectangle and had length of 15 and breath of 10 what would be the perimeter?
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Use order of operations to simplify the expression below.
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plz mark as brainliest
If m∠DEF = (5x−8)°. Which equation would you use to find the value of x?
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Answer:
5x-8=90
Step-by-step explanation:
Thale’s Theorem
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Answer:
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Step-by-step explanation:
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The hanger image below represents a balanced equation. Write an equation to represent the image. PLEASE HELP ILL MARK U AS BRAINLIST OR WHATEVER o(*°▽°*)o
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Answer:
i think its 3 in all the boxes but trying is better than not ig wait no nvm
A bag contains a total of 100 black and white marbles. Without looking a marble is chosen, recorded, and placed back in the bag. The student records 8 black marbles and 2 white marbles. Predict the number of black marbles in the bag.
Answers
I need help answering this question above! Nobody is answering it
Answers
Answer:
(54, 27)
Step-by-step explanation:
2y will represent the larger number.
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Last year, Manual opened an investment account with $5400. At the end of the year, the amount in the account had increased by 28.5%. How much is this increase in dollars? How much money was in his account at the end of last year?
Answers
Answer:
Increase in dollars = $1,539
Balance in the account at the end of the year = $6,939
Step by step explanation:
5400*.285=$1539
So increase in dollars is $1,539
That is the money growth. Now add to initial balance to find the account total after the end of the year
5400+1539=$6,939
Money in the account at the end of the year $6,939
Question 12
Find the volume of this cone. Round to the nearest hundredth.
9 ft
8 ft
cm cubed
Answers
Answer:
150.8 I think
Step-by-step explanation:
JUST ANSWER NUMBER 3 PLEASE
Answers
Answer:
101.6 (option b)
Step-by-step explanation:
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What is the surface area of the prism below?
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Answer:
a) the cost for each person is not always the same
b) the train appears to go the same distance every minute
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What’s the work and answer for this? Someone please tell me
Answers
Answer: 14
Step-by-step explanation:
We arrange the number as -3, 1, 7, 8, 18, 19, 42, the old median is 8.
But the median has change to 11 when the number is add, which means that the number is between 7 and 18.
(8 + x)/2 = 11 Where x is the new number
8 + x = 22
x = 14
Angle 3 is a supplement of angle 4. If the m of angle 3 is 100 degrees, what is the m of angle 4?
Answers
Answer: 80
Step-by-step explanation: Supplements mean they add up to 180. is m of 3 is 100, then m of 4 must be 80 to add up to 180. Hope this helps!
Local versus absolute extrema. If you recall from single-variable calculus (calculus I), if a function has only one critical point, and that critical point is a local maximum (or say local minimum), then that critical point is the global/absolute maximum (or say global/absolute minnimum). This fails spectacularly in higher dimensions (and thereís a famous example of a mistake in a mathematical physics paper because this fact was not properly appreciated.) You will compute a simple example in this problem. Let f(x; y) = e 3x + y 3 3yex . (a) Find all critical points for this function; in so doing you will see there is only one. (b) Verify this critical point is a local minimum. (c) Show this is not the absolute minimum by Önding values of f(x; y) that are lower than the value at this critical point. We suggest looking at values f(0; y) for suitably chosen y
Answers
Answer:
Step-by-step explanation:
Given that:
a)
[tex]f(x,y) = e^{3x} + y^3 - 3ye^x \\ \\ \implies \dfrac{\partial f}{\partial x} = 0 = 3e^{3x} -3y e^x = 0 \\ \\ e^{2x}= y \\ \\ \\ \implies \dfrac{\partial f}{\partial y } = 0 = 3y^2 -3e^x = 0 \\ \\ y^2 = e^x[/tex]
[tex]\text{Now; to determine the critical point:}[/tex]- [tex]f_x = 0 ; \ \ \ \ \ f_y =0[/tex]
[tex]\implies e^{2x} = y^4 = y \\ \\ \implies y = 0 \& y =1 \\ \\ since y \ne 0 , \ \ y = 1, \ \ x= 0\\\text{Hence, the only possible critical point= }(0,1)[/tex]
b)
[tex]\delta = f_xx, s = f_{xy}, t = f_{yy} \\ \\ . \ \ \ \ \ \ \ \ D = rt-s^2 \\ \\ i) Suppose D >0 ,\ \ \ r> 0 \ \text{then f is minima} \\ \\ ii) Suppose \ D >0 ,\ \ \ r< 0 \ \text{then f is mixima} \\ \\ iii) \text{Suppose D} < 0 \text{, then f is a saddle point} \\ \\ iv) Suppose \ D = 0 \ \ No \ conclusion[/tex]
[tex]Thus \ at (0,1) \\ \\ \delta = f_{xx} = ge^{3x}\implies \delta (0,1) = 6 \\ \\ S = f_{xy} = -3e^x \\ \\ \implies S_{(0,1)} = -3 \\ \\ t = f_{yy} = 6y \\ \\[/tex]
[tex]\implies t_{0,1} = 6[/tex]
[tex]Now; D = rt - s^2 \\ \\ = (6)(6) -(-3)^2[/tex]
[tex]= 36 - 9 \\ \\ = 27 > 0 \\ \\ r>0[/tex]
[tex]\text{Hence, the critical point} \ (0,1) \ \text{appears to be the local minima}[/tex]
c)
[tex]\text{Suppose we chose x = 0 and y = -3.4} \\ \\ \text{Then, we have:} \\ \\ f(0,-3.4) = 1+ (-3.4)^3 + 3(3.4) \\ \\ = -28.104 < -1[/tex]
[tex]\text{However, if f (0,1) = 1 +1 -3 = -1 \\ \\ f(0,-3.4) = -28.104} < -1} \\ \\ \text{This explains that} -1 \text{is not an absolute minimum value of f(x,y)}[/tex]
Please help I’m struggling please
Answers
27+27=54
54 cubic centimetres
:)