. Paul plans to have a rectangular garden adjacent to his garage. He will use 36 feet of fence to
enclose three sides of the garden. The area of the garden, in square feet, can be modeled by
w) - W(36 - 2w), where w is the width in feet,
(a) On the set of axes below, sketch the graph of f(w)

Answers

Answer 1

The area of the garden is the product of its width and its length

How to plot the graph of f(w)?

The given parameters are:

Perimeter = 36 feet

f(w) = w(36 - 2w)

The second expression above represents a function whose input is w; i.e. function w or f(w)

Next, we plot the graph of f(w) using a graphing calculator

See attachment for the graph of f(w)

Read more about areas at:

https://brainly.com/question/24487155

. Paul Plans To Have A Rectangular Garden Adjacent To His Garage. He Will Use 36 Feet Of Fence Toenclose

Related Questions

Given k Is parallel to l, what can you conclude about these triangles? Check all that apply. Vertical angles prove Angle1 Is congruent to Angle4. Alternate exterior angles prove Angle5 Is congruent to Angle3. Angle5 and Angle3 are alternate interior angles. The ratios of the corresponding angles are equivalent. The triangles are similar because all corresponding angles are congruent.

Answers

For the triangles made by the line k which is parallel to I, the option 1, 3 and 5 are correct.

Vertical angles prove Angle1 Is congruent to Angle4. Angle5 and Angle3 are alternate interior angles.The triangles are similar because all corresponding angles are congruent.

What are the angles formed by the transverse line cut by the transversal?

Angles formed by the transverse line cut by the transversal-

Corresponding angle- Corresponding angle keeps the same position on two different parallel line when cut by transverse.Alternate interior angle- This angle made inside the parallel lines cut by the transversal.Alternate exterior angle- This angle made outside the parallel lines cut by the transversal.Supplementary angle- Angle which made on the same line. The sum of the supplementary angle is equal to the 180 degrees.

Given, k Is parallel to l. The image for this problem is attached below.

Let's check all the options-

Vertical angles prove Angle1 Is congruent to Angle4- In the attached image the angle 1 and 4 are equivalent. Thus, this is the correct option.Alternate exterior angles prove Angle5 Is congruent to Angle3- No, they are interior angles.Angle5 and Angle3 are alternate interior angles-This option is also correct, as angle Angle5 and Angle3 are alternate interior angles.The ratios of the corresponding angles are equivalent-No the ratios are not equivalent for the corresponding angles.The triangles are similar because all corresponding angles are congruent-When the corresponding angles are congruent.

Hence, For the triangles made by the line k which is parallel to I, the option 1, 3 and 5 are correct.

Vertical angles prove Angle1 Is congruent to Angle4. Angle5 and Angle3 are alternate interior angles.The triangles are similar because all corresponding angles are congruent.

Learn more about the angles formed by the transverse line here;

https://brainly.com/question/13207832

Answer:

1 3 5

Step-by-step explanation:

1. The width of a rectangle is ten meters less than the length. The perimeter is 216 meters,
Find the length and width

Answers

Answer: Width = 49meters; Length = 59meters

Step-by-step explanation:

Let the width be represented by x

The length will be (x+10)

Perimeter = 2(length+breadth)

Perimeter= 2(x + x + 10)

Perimeter = 2(2x + 10)

216 = 4x + 20

4x = 216 -20

4x = 196

x = 196/4

x = 49

Width = 49meters

Length = x+10

Length = 49 + 10

Length = 59meters

What is the diameter of a circle that is 9m?

Answers

Is theres a picture that goes with the question

A brand new smartphone costs $1200. It decreases in value by 13. 3% every year after its purchase. Which function models the value of the phone x years after its purchase?


Question 8 options:


f(x)=1. 133(1200)x


f(x)=1200(1. 133)x


f(x)=1200(0. 867)x


f(x)=0. 867(1200)x

Answers

The function that models the value of the phone x years after its purchase is y = 1200(0.867)^x

Exponential equations

The standard exponential equation is given as:

y = ab^x

From the given question

a = 1200

b = 1 - 0.133

x is the time

Substitute to have:

y = 1200(1-0.133)^x
y = 1200(0.867)^x

Hence the function that models the value of the phone x years after its purchase is y = 1200(0.867)^x

Learn more on exponential equation here: https://brainly.com/question/2456547

Huong spent half of her weekly allowance on candy. Earn more money her parents let her wash the car for six dollars. What is her weekly allowance if she ended with $14?

Answers

Answer:

16

Step-by-step explanation:

(2,4);slope=1/2

(-8,-1);slope=-3/4

Answers

Answer:

Step-by-step explanation:

1. y - 4 = 1/2(x - 2)

  y - 4 = 1/2x - 1

  y = 1/2x + 3

2. y + 1 = -3/4(x + 8)

   y + 1 = -3/4x - 6

  y = -3/4x - 7

TwT best answer gets brainliest. someone please help ;w; i would really appreciate it. And pls no links and dont answer if you dont actually know the answer

Answers

Answer:

A-B=6

C-D=4

Step-by-step explanation:

someone answer this asap pls

Answers

Answer:

x=3

Step-by-step explanation:

Answer:

3.0

Step-by-step explanation:

Given 2x - 3 = 7, what is the value of x?

Answers

Answer:

2x-3=7 /×3

2x=3+7

2x=10 /÷2

x=5

Answer:

Step-by-step explanation:

2x - 3 = 7                         Add 3 to both sides

2x - 3+3 = 7 + 3                Combine

2x = 10                              Divide by 2

2x/2 = 10/2                       Combine

x = 5

These types of equations all follow the same pattern. The look like

ax + b = c                         You have to isolate the x so add b if b is minus or you subtract b if b is plus. Notice that b was minus in your question. So Add

Now you you have

ax  =  c - b                      That always happens. The x is isolated if you deal with b first. Now all you need to do is divide by a.

x = (c - b)/a

Try a couple

3x -4 = 5                       The answer is 3

5x + 2 = 27                   the answer is 5

 

what expression is equivalent to 1.2-(-8)

Answers

Answer:

is1.2-(8)+1.2.8

Step-by-step explanation:

the answer is1.2-(8)+1.2.8

At the Atlanta Zoo 45% of the people like snakes. If 117 people like snakes, how many people were at the zoo?
Answer choices:
120 people
130 people
200 people
260 people

Answers

Answer:

OK I'm just gonna guess this but I think its B. 130? Cuz honestly it makes the most sense.

Step-by-step explanation:

If it's wrong sorryyyy...

In this figure, triangle GHJ is similar to traingle PQR.
Based on this information, which ratio represents tan H?
A.17/8
B. 15/8
C. 8/15
D.8/17

Answers

I believe it’s D) 8/17, I’m sorry if I’m wrong

please I need help !!! find the value of 5 if 5=1/4 (a+5) when a= -4​

Answers

The value is of this equation is -3.75

Hey there!

5 = 1/4(a + 5)

1/4(a + 5) = 5


1/4(-4 + 5) = 5

1/4(-4) + 1/4(5) = 5


1/4(-4) + 1/4(5)
= -1 + 5/4

= -1/1 + 5/4

= 1/4


1/4 ≠ 5
0.25 ≠ 5


Thus, your answer should most likely be: [FALSE] because the numbers are NOT equivalent to each other.

“a” should equal to “15”

Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

A ∪ B= {a,b,c,d,e,f} and B= {b,d,f} then, which set presents set A?

Answers

Answer:

set A presents {a,c,e}

Factor completely 4x2 − 81. (1 point)

a
(4x − 9)(x + 9)

b
(2x + 9)(2x + 9)

c
(2x + 9)(2x − 9)

d
(2x − 9)(2x − 9)

Answers

Answer:

(2x-9)(2x+9)

Use the difference of square method. square root both sides and the answer has to be in postive and negative

Jonathon borrowed $700 from his grandparents to start a lawn mowing business in his neighborhood. After
mowing lawns for a month and paying his expenses, he was able to pay them $177.34. How much does
Jonathon still owe his grandparents?

Answers

Answer:

$522.66

Step-by-step explanation:

Subtract 177.34 from $700

700 - 177.34 = $522.66

Jonathon still owes his Grandparents' $522.66

Hope I helped :)

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An algebra tile configuration. 0 tiles are in the factor 1 spot and 0 tiles are in the factor 2 spot. 20 tiles are in the product spot: 1 is labeled x squared, 8 are labeled negative x, and 16 are labeled . the geometric model represents a perfect square trinomial. use the drop-down menus to identify the two factors. factor 1 = factor 2 =

Answers

A quadratic equation is written in the form of ax²+bx+c. The factors of the given tile configuration are (x-4).

What is a quadratic equation?

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers.

It is written in the form of ax²+bx+c.

In order to write the algebra tile configuration of the given problem, we need to convert sentences one by one. Therefore, the description can be converted as,

1 is labelled x squared, x²8 are labelled negative x, -8xand 16 are labelled. 16

Now, adding all the tiles configuration together we will get,

[tex]x^2 - 8x + 16[/tex]

As we got the quadratic equation now, the roots of the quadratic equation can be written as,

[tex]x^2 - 8x + 16 = 0\\\\x^2-4x-4x+16=0\\\\x(x-4)-4(x-4)=0\\\\(x-4)(x-4)=0\\\\(x-4^2)=0[/tex]

Thus, the factors of the given tile configuration are (x-4).

Learn more about Quadratic Equations:

https://brainly.com/question/2263981

Need answer ASAP PLS

Answers

Answe: 3rd one

Step-by-step explanation:

Answer:

bottom right due to X being grater then 2 on the X-axis

Craig lives in a house that is 4 meters below sea level. Craig goes to school every day, which is 10 meters above sea level. How many meters does Craig travel, in altitude, when going from home to school?

Answers

Answer:

14 meters

Step-by-step explanation:

Craig starts at -4 meteres (4 below sea level and sea level is 0) so we add 4 to get to 0.

The school is +10 meters.

4 + 10 = 14 meters

g=xcy ? Please help thanks

Answers

Answer:

x = g/cy

Step-by-step explanation:

To solve for x, we need to isolate it on one side of the equal sign algebraically. In this case, since  is being multiplied by  and  we can divide both sides by  and  to isolate 

A box of chocolates contains four milk chocolates and five dark chocolates. You randomly pick a chocolate and eat it. Then you randomly pick another piece. What are the odds that both pieces were milk chocolate?( show explanation)

Answers

Answer:

1/6

Step-by-step explanation:

firstly the question is a probability without replacement because the chocolate are eaten after being picked .

next sum the total chocolate in the bag (4+5)=9

now probability is possible outcome over total outcome.

P(a)and p(b) =p(a)xp(b)

p(a)=4 /9

p(b)=3/8 ... because there will be 3 milk chocolate and 5dark chocolate left

hance P=(4/9)(3/8)

=1/6

A study on students drinking habits wants to determine the true average number of alcoholic drinks all uf underclassmen students have in a one week period. We know from preliminary studies that the standard deviation is around 2. 8. How many students should be sampled to be within 1. 5 drink of population mean with 90% probability?.

Answers

Answer: 16

Step-by-step explanation:

Standard deviation is 2

Margin error for the problem is 1

Probability 95%, that means thet the siginficance level α is 1 – p

α = 1 – 0.95 = 0.05

margin of error (ME) can be defined as follows

ME = Z(α/2) * standard deviation/ √n

Where n is the sample size

Z(0.05/2) = Z(0.025)

Using a z table Z = 1.96

Now, replacing in the equation and find n

1 = 1.96 * 2/ √n

1 = 3.92 / √n

√n = 3.92

n = 3.92^2

n = 15.36 = 16

i hope this work for you

I think of a number i multiple it by 5 i then subtract 19 finally i double the result the final number is 22 what number did i think of​

Answers

To solve this problem, you read the problem backwards and to the opposite of that function.

if it says double --> divide by 2        22 / 2 = 11subtract by 19 --> add 19                   11 + 19 =30multiply by 5 --> divide 5                   30 / 5 = 6

Thus the number that is thought of is 6

Hope that helps!

Unknown value: X

(5X-19)*2=22

5X-19=22/2

5X-19=11

5X=30

X=6

whats the infinitely, one, no solution

Answers

Answer:

Step-by-step explanation:

The infinite solution is when the equation equals something like this:

10 = 10

2 = 2

586 = 586

One solution is when the answer to an equation is something like this

x = 4

x = 17

y = 657

y = 7

No solution is when the equation 'doesn't make sense' or something:

4 = 10

17 = 64

6 = 9

Hope I helped :)

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Find the volume of this pyramid, Round to the nearest tenth if necessary.

Answers

pyramide volume = 1/3 x surface of the base x height

= 1/3 x 2 x 2 x 5 ≈ 6,7 ft³

square base

Don and Linda would like to replace the hardwood flooring in their dining room. The flooring sells for $15.75 a square foot installed. The room size is 15 feet wide by 22 feet long. They can make a 20% down payment but will need to finance the rest at 12% for 42 months

a. What is the down payment?
b. What is the amount financed?
c. What is the monthly payment?
d. What is the total finance charge?

Answers

Answer:

a)  Down payment = $1039.50

b) Amount financed = $4158

c) Monthly payment =  $121.73

d) Total finance charge = $5112.66

Step-by-step explanation:

Area of rectangle = width × length

⇒ area of room = 15 × 22 = 330 ft²

Given:

cost of flooring = $15.75 per ft²

⇒ Total cost of flooring = area × cost = 330 × 15.75 = $5197.50

a)  Down payment = 20% of $5197.50

                              = 0.2 × 5197.50

                              = $1039.50

b) Amount financed = total cost - down payment

                                 = 5197.50 - 1039.50

                                 = $4158

c) Monthly payment = [tex]\dfrac{4158 \cdot \frac{0.12}{12}(1+\frac{0.12}{12})^{42}}{(1+\frac{0.12}{12})^{42}-1}[/tex]=  $121.73

d) Total finance charge = monthly payment × number of months

                                       = 121.73 × 42

                                       = $5112.66

How do the slopes of the line segments in Question 3 compare with one another? Based on your observations in Question 1 through 3 , what can you say about the relationship between a preimage and an image under a translation?

Answers

Answer:

All of the lines have an infinite slope because they are all vertical. They are all parallel lines. Under a translation, the corresponding points in an image and the preimage are connected by parallel paths of equal length.

Step-by-step explanation:

Answer:

All of the lines have an infinite slope because they are all vertical. They are all parallel lines. Under a translation, the corresponding points in an image and the preimage are connected by parallel paths of equal length.

Step-by-step explanation:

Work out the fraction that is halfway between 1/3
and
1 1/2
Write your answer in its simplest form.

Answers

Answer:

The fraction that is halfway between 1/4 and 1/2

= (1/4 + 1/2 )/2

= 3/4 ÷ 2

= 3/(4×2)

= 3/8 (final answer)

Answer:

17/12 or 1 5/12

Step-by-step explanation:

Fraction halfway between refers to the mean of the two fractions.

1/3 + 5/2 / 2

2/6 + 15/6 / 2

17/6 / 2

= 17/12 or 1 5/12

A club of 50 students is doing volunteer. Each student is volunteering at one of four location. 14 at the hospital, 15 at the pet shelter, 8 at tutoring, 13 at library. What is the probability that the first student volunteers at the library and the other two do not?

Answers

Answer:

The probability is 0.1473

Step-by-step explanation:

Given;

total number of students, n = 50

number at hospital, h = 14

number at pet shelter, p = 15

number at tutoring, t = 8

number at library, L = 13

If three students are chosen at random without replacement, the number of students that will be selected to work in other location is given by;

50 - 13 = 37 students

The probability that the first student volunteers at the library and the other two do not is given by;

P(13 students at library) x P(2 out of the 37 students did not)

[tex]= (\frac{13}{50})(\frac{37}{49})(\frac{36}{48} )\\\\ = 0.1473[/tex]

Luke bought one hundred thirty two calla lilies for vases to put on tables for a wedding. He needs to divide the lilies among twelve tables. How many calla lilies will be in each vase?

Answers

Answer:

11

Step-by-step explanation:

Why?

Lillies:132

132 divided by 12 is 11

So that means that each vase will give 11 calla lilies each

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