Mathematics High School

Mrs. Harbrook can choose from two rectangular pool sizes. The pool manufacturer provides her with the area of the pool, but she needs to find the dimensions in order to determine if the pool will fit in her yard.




If the area of the pool is x2−17x+72, what are possible expressions to represent the length L and the width W ?

Answers

Answer 1

Answer:8 or 9 ft

Step-by-step explanation:

Given

The area of the pool is  [tex]A=x^2-17x+72[/tex]

The area is in the form of a quadratic equation

So, the roots of the equation will give the length and width of the pool

[tex]\Rightarrow x^2-17x+72=0\\\Rightarrow x^2-8x-9x+72=0\\\Rightarrow x(x-8)-9(x-8)=\\\Rightarrow (x-8)(x-9)=0\\\Rightarrow x=8\ or\ 9[/tex]

Therefore length and width can either be [tex]\text{8 or 9 ft}[/tex].

[tex]\Rightarrow L=8\ ft,W=9\ ft\ \text{or}\ L=9\ ft,W=8\ ft[/tex]

Related Questions

Coach Rivas can spend up to $750 on 30 swimsuits for the swim team. The inequality shown can be used to find the maximum amount in dollars she can spend on each swimsuit. 30p≤750 which inequality represents all the possible values of p,the amount of money in dollars coach Rivas can spend on each swimsuit​

Answers

Answer:

$0 < p ≤ $25

Step-by-step explanation:

We know that coach Rivas can spend up to $750 on 30 swimsuits.

This means that the maximum cost that the coach can afford to pay is $750, then if the cost for the 30 swimsuits is C, we have the inequality:

C ≤ $750

Now, if each swimsuit costs p, then 30 of them costs 30 times p, then the cost of the swimsuits is:

C = 30*p

Then we have the inequality:

30*p ≤ $750.

To find the possible values of p, we just need to isolate p in one side of the inequality.

So we can divide both sides by 30 to get:

(30*p)/30 ≤ $750/30

p ≤ $25

And we also should add the restriction:

$0 < p ≤ $25

Because a swimsuit can not cost 0 dollars or less than that.

Then the inequality that represents the possible values of p is:

$0 < p ≤ $25

Which ratios correctly compare bananas to apples, as shown in the picture ( 6 apples in a circle and 1 banana in the center ) check all that apply.... Pls help

Answers

Answer:

6:1

Step-by-step explanation:

There are 6 apples t o1 banana

(This is all i can do would have been easier with picture)

Will give brainliest to whoever figures this out :(

Answers

Step-by-step explanation:

I think it's 8.9932×10⁶

Answer:

8,993,200

Step-by-step explanation:

10^3 is 1000

8993.2 * 1000

=

8,993,200

HELPPPP ON GEOMETRY PLZZZ
NO LINKS ILL REPORT.

Answers

Answer:

I believe F.) 9 is the correct answer

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

volume, or the space inside of an object, is found by multiplying length x width x height, so when we do that we get 9.

hi please help i’ll give brainliest

Answers

Distributive property
(7 * 4y) + (7*9) = 28y + 63
The correct answer is 28y+63

plz help meh (ASAP) question below

Answers

Answer:

It's D I believe.

Step-by-step explanation:

I had this question before.. hopefully this helps

What's the value of
[tex] \sqrt{3 \times 3} [/tex]
​

Answers

Answer:

3.

Step-by-step explanation:

Square root is the opposite of power. Simplify:

[tex]\sqrt{3 * 3 } = \sqrt{3^2} = 3[/tex]

3 is your answer.

~

Answer:

√{3×3}=√3²=±3 is your answer

helpppp plz plzzzzzzz​

Answers

Answer:

It's C!

Step-by-step explanation:

4-2=2

8/2=4

Hope this helps and don't forget to follow!

Answer:

c.4

Step-by-step explanation:

plug in 2

=8/ 4-2

=8/2

=4


[tex]25x |2| - 16 \: \\[/tex]
​

Answers

Answer:

Step-by-step explanation:

a² - b² = (a +b)(a - b)

[tex]5x^{2} - 16 = 5^{2}x^{2} - 4^{2} \\\\= (5x)^{2}-4^{2}\\\\=(5x + 4)(5x - 4)[/tex]

1.5 times 3 in a decimal

Answers

Answer:

4.5

Step-by-step explanation:

How do i get my grade up in algebra 1 honors? i am in middle school taking the class early and i dont wanna fail​

Answers

Answer:

just do the assignments get help when neccesary ask the teacers if they have any extra credit materials

Step-by-step explanation:

if they have tutoring there you should totally go to it. Redo bad assignments for better grades and pay attention. Also if you take notes make sure you add stuff to help you remember

what’s the slope for this graph ??

Answers

Answer:

M = 0

Step-by-step explanation:

Straight line is always slope of 0

Answer:

Step-by-step explanation:

Slope is defined as

m=(y2-y1)/(x2-x1) in this case

m=(5-5)/(5- -5)

m=0/10

m=0

This is a horizontal line, y=5, with a slope of zero.

This is the graph of f(x). What is the value of f(3)?

Answers

Answer:

Option C. 8 will be your answer

Step-by-step explanation:

hope it helps you...

have a great day!!!

if jaylee's snow cone maker can make 800 cubic inches of ice, how many snow cones can she make with the dimensions show below?

Answers

What dimensions shown below?

A town low temperature for January was -8 Fahrenheit. The difference between The town high temperature and low temperature for January was 25. What was the town high temperature .In degrees Fahrenheit ,for January

Answers

Answer: 17°F

Step-by-step explanation:

Let the the town high temperature .In degrees Fahrenheit ,for January be represented by x

Since the town had low temperature for January was -8 Fahrenheit and the difference between the town high temperature and low temperature for January was 25. Then, the high temperature will be:

x - (-8) = 25

x + 8 = 25

x = 25 - 8

x = 17°F

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


Which equation could be solved using this application of the quadratic formula?

Answers

Answer:

Step-by-step explanation:

A.)  x² + 1 = 2x − 3   Make the equation into ax² + bx + c = 0. Subtract 2x on both sides, and add 3 on both sides to set the equation equal to 0

x² + 1 - 2x + 3 = 2x - 2x - 3 + 3

x² - 2x + 4 = 0      

a = 1

b = -2

c = 4    This is not the answer because b = 2 not -2, and c = -4 not 4

B.) x² - 2x − 1 = 3     Subtract 3 on both sides to set the equation = 0

x² - 2x - 4 = 0

a = 1

b = -2

c = -4      This is not the answer because b = 2 not -2

C. x² + 2x - 1 = 3    Subtract 3 on both sides to set the equation = 0

x² + 2x - 4 = 0

a = 1

b = 2

c = -4    This is your answer

D. x² + 2x - 1 = -3      Add 3 on both sides to set the equation = 0

x² + 2x + 2 = 0

a = 1

b = 2

c = 2       This is not the answer because c = -4 not 2

Hope this helps       :)

change the following to algebraic expressions

nine times a number decreased by 11​

Answers

X^9 - 11

Step-by-step explanation:

let the number be X

so,

X^9 - 11

Answer: the answer is -4

Two students share 3/4 of a pound of peanuts. How much of a pound does each person get?

Answers

Answer: 3/8

Step-by-step explanation: 3/4 divided by 2 or .75/2

Kala deposits $7000 into an account that pays simple Interest at a rate of 4% per year How much interest will she be paid in the first 4 years?

Answers

Kala want get paid $1120 in the four years

A tank contains 550 gallons of water. When the valve is opened, the tank drains at a rate of 12 gallons per minute. Which function shows the relationship between the time t the valve is opened and the amount of water in the tank?

Answers

Answer:

y= 550-12x

Step-by-step explanation:

Given data

Content of tank= 550 gallons

Rate of drain= 12gallon per minute

let the time it will take to drain all 550 gallons be x minutes

Hence the expression for amount of water in the tank after x minutes will be

y= 550-12x

Solve by elimination.
X + y = -1
x-y=-7

Answers

Answer:

(x,y) = (-4,3)

Step-by-step explanation:

Answer:

X=-4, y=3

Step-by-step explanation:


GIVING BRAINLIEST!!!

What’s 2 x2

Answers

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

2x2 is just 4 lol. I hope this helps lol

Find the percent of change. Round to the nearest tenth of a percent if necessary.

Answers

Answer:

What’s the percent Lol

Step-by-step explanation:

plz help simplify 8/10​

Answers

[tex]\frac{8}{10}[/tex] → [tex]\frac{4}{5}[/tex]

8 and 10 can both be divided by 2. So, 8 ÷ 2 is 4 and 10 ÷ 2 is 5.

Hope this helps :)

Answer:

4/5

Step-by-step explanation:

okay so to simplify, we first need to find the GCF of 8 and 10. The GCF of 8 and 10 would be 2. We now divide both 8 and 10 by 2. That will give us 4/5.

[tex]\frac{8}{10}[/tex]÷[tex]\frac{2}{2}[/tex]=[tex]\frac{4}{5}[/tex]

Can someone please help me with this math question

Answers

Answer:

D

Step-by-step explanation:

the graph has a negative correlation

please help what is x?

Answers

Answer:

17.5

Step-by-step explanation:

Answer:

17.5

Step-by-step explanation:

Using Pythagoras theorem

X² = 15² + 9²

X² = 225 + 81

X² = 306

Take the square root of both sides

X = √306

X = 17.5

pls help! will mark brainliest if correct!

Answers

Answer:

a. y=4x-5

Step-by-step explanation:

Find the find the area and the circumference of the circle round your answer to the nearest hundredth ​

Answers

Area = pi * r^2
Area = pi * 12^2 = 452.39 square units
Circumference = 2(pi) * r
2 * pi * 12 = 75.40 units

Answer:

area =  452.39 square units

circumference = 75.40 square units

Step-by-step explanation:

area = [tex]\pi r^{2}[/tex]

r = 12

452.389

circumference = [tex]\pi *d[/tex]

d = 2r

r = 12

d = 24

75.398

What is the percent of $432

Answers

Answer:

%23.15

Step-by-step explanation:

im not sure what u mean entirely

Answer:

its should be 100%. your question is not that clear. What persent of what is 432 should be question. In the provided questions the answer is 100% because it is an output value.

Solve the following system of equations by the method of your choice.
-2x + y = 3
-4x + 2y = -20
a. none of the above
b. infinitely many solutions
c. no solution
d. one solution

Answers

Answer:

c. no solution

Step-by-step explanation:

This system of equations has no solution because when graphed, the lines are parallel to each other. Meaning they will never intersect. Since they will never intersect, there are no solutions.

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