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

Answer 1

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.

Three Hundred Yards Of Fencing Is Being Used To Fence In A Rectangular Garden. The Area Of The Garden

Related Questions

find x, y, and z do not include degrees

Answers

Answer:

x is 64 , y is18 and z is 98

Step-by-step explanation:

these angles are congruent and u get z by adding 64 and 18 then subtracting it for 180 since it makes a straight line

Jeff has a square piece of art paper. He cuts across it from one corner to the opposite corner to make two pieces. What is the total number of sides and angles in both of the new shapes?

Answers

Answer:

The number of sides is 3 on each piece of paper, altogether there are 6 sides.

The total number of angles on a triangle is 180°, altogether the sum of both triangles is 360°

1. What is your daily income if you earn $10.75/h as a camp counsellor and you work
10 hours per day?

Answers

$10.75 an hour * 10 hours per day = $107.5
Your daily income is $107.5.

What is the area of this figure? I give brainliest! :)

Answers

Answer:

276yd^2

Step-by-step explanation:

14*12 + 9*12 = 168+108 = 276

Answer:

It’s 276 yd square

Step-by-step explanation:

you would have to split the shape into two different shapes.

9x12=108

12x14=168

then you would add both areas to get 276 which is the total area for this shape.

Find the value of x in the diagram

Answers

Answer:

x = 21

Step-by-step explanation:

Inscribed angle = (3x - 3)°

Intercepted arc measure = 120°

Thus:

(3x - 3)° = ½(120°) => an inscribed angle of any circle = ½ the measure of its intercepted arc.

Multiply both sides by 2

2(3x - 3) = 120

6x - 6 = 120

6x - 6 + 6 = 120 + 6

6x = 126

6x/6 = 126/6

x = 21

What is 6 divided by 2 ( 1+2 ) = ?

Answers

ANSWER;

6/ 2(1+2)

= 6/ 2(3)

= 6/ 2X3

= 6/6

= 1

Answer:

6 ÷ 2 [1 + 2]

= 6 ÷ 2 + 4

= 6 ÷ 6

= 1

The store where Ted works is having a sale on wooden spoons and spatulas. When his shift started, there were twice as many spatulas as spoons. During his shift, the store sold 32 spatulas and 13 spoons. At the end of Ted's shift, the store had the same number of each item.
How many spoons did the store have at the beginning of Ted's shift?

Answers

The number of spoons at the beginning of Ted's shift is represented by the Variable "S."  There were 19 Spoons at the beginning of Ted's shift.

Let's assume that the number of spoons at the beginning of Ted's shift is represented by the variable "s," and the number of spatulas is represented by the variable "p."

According to the given information, when Ted's shift started, there were twice as many spatulas as spoons. Mathematically, this can be represented as:

p = 2s

During Ted's shift, the store sold 32 spatulas and 13 spoons. This means that the updated number of spatulas and spoons can be expressed as:

p - 32 (number of spatulas after sales)

s - 13 (number of spoons after sales)

At the end of Ted's shift, the store had the same number of each item. This implies that the number of spatulas and spoons was equal:

p - 32 = s - 13

Substituting p = 2s from the first equation, we can solve for s:

2s - 32 = s - 13

s = 32 - 13

s = 19

The store had 19 spoons at the beginning of Ted's shift.

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An airliner travels 95 miles in 12 minutes. What is its speed in miles per hour?​

Answers

Answer:

475 miles per hour

Step-by-step explanation:

the plane traveled 95 miles in 12 minutes. the first thing we need to do is determine how many 12 minutes go into 1 hour. 12 minutes is repeated 5 times in order to get a total of 60 minutes and 60 minutes is 1 hour. the final thing we need to do is multiply 95 by 5 to get the total number of miles per hour traveled. the total of that is 475 miles per hour which is the answer

written math;

60/12=5

95*5=475

answer= 475 miles per hour

Help me please with my IXL GEOMETRY

Answers

Answer:

7.5

Step-by-step explanation:

hey hope this helps and is right

PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!

Answers

Answer:

1) congruent

2) corresponding angles

3) 3x+21 = 6x-60

4) x =9

Step-by-step explanation:

1) congruent becuase supplementary means that these 2 angles add up to make 180 degrees.

2) the file below

3) we know they are equal because the congruent correspoding angles.

4) 3x+21 = 6x-60

=> 21 = 9x-60

=> 81 = 9x

=> 9 = x

Find the area between y=-x and y=x at [0,3]

Answers

Answer:

don't listen to the other person

Step-by-step explanation:

The mean of ten numbers is 13. What eleventh number, if included with the original numbers, would result in a mean of 12?

Answers

Answer:

2

Step-by-step explanation:

To find the mean, you divide the number you get from adding all the numbers by the number of numbers. In this case, we know the mean and the number of numbers but don't know the number you get from adding all the numbers. So, we have to do the reverse operation meaning we have to multiply 13 and 10 together which would equal 130.

Now, we do the same thing with 11 and 12, we multiply! 11 x 12 = 132.

130 + 2 = 132, meaning the answer is 2.

You're welcome!

The eleventh number, if included with the original numbers, would result in a mean of 12 is; x = 2

Formula for mean is;

Mean = Sum of numbers/sample size

We are given;

Mean = 13

Sample size = 10

Thus, sum of numbers = 13 × 10 = 130

Now, we want to add an eleventh number so that the mean will be 12.

Thus, n = 11

12 = (130 + x)/11

Cross multiply to get;

12 * 11 = 130 + x

x = 132 - 130

x = 2

Thus, the eleventh number, if included with the original numbers, would result in a mean of 12 is; x = 2

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I picked the last one by accident but what is the correct answer?

Answers

the third choice because -10 is greater than -14 and greater numbers are more towards the right.

Solve for x, and angle c

Answers

9514 1404 393

Answer:

  x = 12.75

  ∠C = 51.75°

Step-by-step explanation:

The two marked angles are complementary, so ...

  (5x -12) +(3x) = 90

  8x = 102

  x = 102/8

  x = 12.75

__

C = (5x -12)° = (5(12.75) -12)°

  ∠C = 51.75°

__

Check

E = 3x = 38.25, then C+E = 51.75 +38.25 = 90 . . . . as it should

40 POINTS !! 40 POINTS !!

PLEASE HELP , DONT SKIP !

NO LINKS OR FILES.

Answers

Answer:

you --> they

Step-by-step explanation:

The pronoun "you" is incorrect since it should be 'they'.

It has to be 'they' instead because it doesn't talk to the reader, it talks about the canditates.

40 POINTS !! 40 POINTS !!

PLEASE HELP , DONT SKIP !

NO LINKS OR FILES.

Answers

UV=(-9–(-2)),(-3–(-6))
UV=(-9+2),(-3+6)
UV=(-7,3)
I think you find the change in the x and y components. I’m not really sure

Answer:

Step-by-step explanation:

UV=(-9–(-2)),(-3–(-6))

UV=(-9+2),(-3+6)

UV=(-7,3)

I think you find the change in the x and y components.

How to make a triangle and 2 trapezoids out of a triangle

Answers

Answer:

Draw two lines inside the triangle.

Step-by-step explanation:

Like in the Attachment

Cuatro amigos, Andrés, Diego, Jairo y Luis juegan billar y acuerdan que aquel que pierda deberá duplicar la cantidad de dinero de los otros tres. Juegan cuatro partidas y cada uno de ellos pierde una vez, Andrés la primera, Diego la segunda, Jairo la tercera y Luis la cuarta. En ese momento cada uno de ellos tiene $ 32.000 ¿Cuánto dinero tenía cada uno de ellos al iniciar la apuesta?

Answers

Answer:

creo que 150

Step-by-step explanation:

what is the sum of 9/10 and 1/10

Answers

Answer:

1

Step-by-step explanation:

9/10+1/10=(9+1)/10=10/10=1

Answer:

1

Step-by-step explanation:

you can add the two fractions since they have a common denominator. 9/10 + 1/10 = 10/10

any number divided by itself is equal to 1

Brainliest for correct answer, any inapplicable answer or absurd answer will be deleted and reported.

Answers

Answer:

60 degrees (first option)

Step-by-step explanation:

as a triangle adds up to 180 degrees and it has 3 sides so you divide 180 by 3 and you get 60 degrees which goes for each corner.

if you want to check just times 60 by 3 and you get 180

URGENT WILL GIVE YOU BRAINLIEST!!!

Answers

Answer:

#3

Step-by-step explanation:

cker
Examine the following equation.
2x² – 5x – 7 = 0
Which expression can be used to find the solutions to the equation?
0 5+787
4
-5+781
4
0 -53731
4
5:31
4

Answers

The expression which can be used to find the solutions of the given equation is option (a) [5 ± √81] / 4.

What are Quadratic Equations?

Quadratic equations are polynomial equations of second degree.

The general form of a quadratic equation is ax² + b x + c = 0.

The given quadratic equation is,

2x² - 5x - 7 = 0

The solutions of a quadratic equation can be found using the quadratic formula.

Quadratic formula for ax² + b x + c = 0 is,

x = [-b ± [tex]\sqrt{b^2-4ac}[/tex] ] / 2a, where [tex]\sqrt{b^2-4ac}[/tex] is called discriminant.

From the given equation,

a = 2, b = -5 and c = -7.

Solution can be found as,

x = -(-5) ± [tex]\sqrt{(-5)^2-(4*2*-7)}[/tex] ] / (2 × 2)

  = [5 ± √(25 + 56) ] / 4

  = [5 ± √81] / 4

Hence the solution can be found as [5 ± √81] / 4.

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Help soon please!!!!!!!

Answers

Answer:

origin-the place at which the horizontal and vertical number lines cross

y-axis- the horizontal number line

x-axis- the vertical number line

quadrant- each of the four quarters of a plane, as it is divided by the number lines

Step-by-step explanation:

they all match up

whoever gets this correct first gets brainlest

Answers

20 sides is the answer

The mean number of covid 19cases is 26.68347575 Adoctor in german stated that the missing value A in the table is less than 8 million . verify . showing all calculations whether the doctor's statement is valid​

Answers

The hormone that results in diabetes mellitus when it is deficient is insulin.The organ that secretes insulin is the pancreas.

1. The hormone that results in diabetes mellitus when it is deficient is insulin.

2. The organ that secretes insulin is the pancreas.

3. Two other hormones that influence the glucose level of the blood are:

1. Glucagon: It is produced by the alpha cells of the pancreas and increases blood glucose levels by promoting the breakdown of glycogen in the liver.

2. Cortisol: It is produced by the adrenal glands and helps regulate glucose metabolism by promoting gluconeogenesis (conversion of proteins and fats into glucose) and reducing glucose uptake by peripheral tissues.

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Marina is drawing a plan for a new garden. The rectangle plotted in the coordinate plane represents the garden, measured in feet. How much soil will she need to cover the garden? 10 ft2 12 ft2 20 ft2 24 ft2

Answers

Answer:

Step-by-step explanation:

You need to upload a picture and i can answer underneath.  

Usually if measured in feet then we have a scale = 1cm -1ft maybe.

so if you measure 3cm x 4cm then we have 12cm area = 12ft area if.  Or if you have 2cm x 5cm = 10cm area = 10ft area   if you have 4cm x 5cm = 20cm = 20ft area

etc. etc.  Just make sure you say cm then ft in scale conversion.

The drawing below shows the dimensions of Kim’s kite.

What is the are of Kim’s
kite?
F 32 square inches
G 48 square inches
H 96 square inches
J 120Square inches

Answers

I believe it is choice G.

it's that one

Step-by-step explanation:

okayyy so uhh

The graph of g(x) is a translation of y = RootIndex 3 StartRoot x EndRoot.

On a coordinate plane, a cube root function goes through (negative 6, negative 2), has an inflection point at (4, 0), and goes through (10, 2).

Which equation represents g(x)?

g(x) = RootIndex 3 StartRoot x minus 4 EndRoot
g(x) = RootIndex 3 StartRoot x + 4 EndRoot
g(x) = RootIndex 3 StartRoot x EndRoot + 1.5
g(x) = RootIndex 3 StartRoot x EndRoot minus 1.5

Answers

Answer: g(x) = RootIndex 3 StartRoot x + 2 EndRoot

Step-by-step explanation:

The equation that represents g(x) is [tex]g(x)= \sqrt[3]{x - 4}[/tex]

The graph of the function is given as:

[tex]y = \sqrt[3]{x}[/tex]

The above graph passes through the origin.

So, the function can be rewritten as:

[tex]y -0= \sqrt[3]{x - 0}[/tex]

The above function has an inflection point at (0,0).

The translated function is said to have its inflection point at (4,0).

So, the translated function is:

[tex]y -0= \sqrt[3]{x - 4}[/tex]

Subtract 0 from y

[tex]y= \sqrt[3]{x - 4}[/tex]

Express y as a function of x

[tex]g(x)= \sqrt[3]{x - 4}[/tex]

Hence, the equation that represents g(x) is [tex]g(x)= \sqrt[3]{x - 4}[/tex]

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A dictionary contains the following 8 words: to, many, joyous, birthday, wishes, happy, you, cake. What is the probability
of randomly generating the phrase happy birthday to you?

Answers

Answer:

not completely accurate but about 40%

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

since there are 8 words, do 8x5 which would be 40%

hope this helps!

please give me brainliest :)

Patrick has an art supplies box with colored pencils and markers. The ratio of colored pencils to markers is 7:4. If Patrick has 63 colored pencils in the box, how many markers does he have.

Answers

7•x=63 x=9 4•x=4•9= 36 so he has 36 markers i believe
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QUICK WHOEVER GETS IT GETS BRAINLIES or however you spell it