A rectangular garden has a width of 10 feet and a length of 14 feet. A cement
walkway is added around the outside of the garden. The area of the garden and the
walkway together are 252 square feet. What is the width of the walkway?

First. Finding the x-intercepts of  

Let  be the change in water level. So to find the x-intercepts of this function we can use The Rational Zero Test that states:

To find the zeros of the polynomial:

We use the Trial-and-Error Method which states that a factor of the constant term:

can be a zero of a polynomial (the x-intercepts).

So let's use an example: Suppose you have the following polynomial:

where the constant term is . The possible zeros are the factors of this term, that is:

.

Thus:

From the foregoing, we can affirm that  are zeros of the polynomial.

Second. Construction a rough graph of  

Given that this is a polynomial, then the function is continuous. To graph it we set the roots on the coordinate system. We take the interval:

and compute  where  is a real number between -2 and -1. If , the curve start rising, if not, the curve start falling. For instance:

Therefore the curve start falling and it goes up and down until  and from this point it rises without a bound as shown in the figure below

Answer:

B

Step-by-step explanation:

2 pi r subtracted by 2 pi r, you get answer

2 x 3.14 ~ 6.28, x 9 ~ 56.54.

2 x 3.14 ~ 6.28, x 8 ~ 50.24

56.54 - 50.24 ~ 6.3

Answer:

3 units

Step-by-step explanation:

-1, 0, 1 ,2

( 1, 2 ,3)

Give the other person Brainliest :)

Answer:

i think ik it the aswer is c

Answer:

(7, 3 )

Step-by-step explanation:

Given the 2 equations

x - 3y = - 2 → (1)

x + 3y = 16 → (2)

Adding (1) and (2) term by term will eliminate the y- term

2x + 0 = 14

2x = 14 ( divide both sides by 2 )

x = 7

Substitute x = 7 into either of the 2 equations and solve for y

Substituting into (2)

7 + 3y = 16 ( subtract 7 from both sides )

3y = 9 ( divide both sides by 3 )

y = 3

solution is (7, 3 )

Answer:

5

Step-by-step explanation:

3x -12 = -36

-36 ÷ -3 = 12

-7 + 12 = 5

Answer:

The value of -7 + 3(-12) ÷ (-3) is 5

Step-by-step explanation:

First: -7 + -36 ÷ (-3)

Second: -7 + 12

Third: = 5

Therefore your value of this equation is 5.

your welcome.

Answer:

1 block is required in the process to balance the scale

Step-by-step explanation:

In order to get the process that will balance the scale, we need to solve the given expression for x as shown;

3x + 1 = x+ 3

Subtract x from both sides

3x+1-x = x+3 - x

3x - x + 1 = 3

2x + 1 = 3

Subtract 1 from both sides

2x + 1 - 1 = 3 -1

2x = 2

Divide both sides by 2

2x/2 = 2/2

x = 1

Hence 1 block is required in the process to balance the scale

Answer:

Variant b

Step-by-step explanation:

If you multiply it should be a+b but if you divided

A+b-c

Answer:

The top graph.

Step by step:

Before the tickets go on sale, 120 tickets were already sold.

After that, the tickets sell at a constant rate for a total of 8 hours.

At the end of this time, all the tickets were sold (we have 0 tickets left)

If x (horizontal axis) represents the hours since tickets go on sale, and y (vertical axis) represents the number of raffle tickets sold.

Then, at x = 0, we should already see y = 120

Because we start with 120 tickets sold.

Then, as x increases, the number of tickets sold also should increase, until we get x = 8 hours, where y stops increasing because all tickets are already sold.

Then we should have an increasing line that stops increasing at x = 8 hours.

Then the correct option is the above graph, where we have:

An increasing line.

y = 120 in the vertical axis (y = 120 when x = 0)

Answer:

5/8

Step-by-step explanation:

I have the same problem and this answer was correct.

The table shows the number of games a team won and lost last season with a ratio of win to loss as 3:2. Therefore the tool most appropriate for use is a 5-section spinner with congruent sections, 3 representing a win and 2 representing a loss.

Ratio, in math, is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another. In a ratio, two quantities are compared using division.

here, we have,

To calculate a win-to-loss ratio, divide the number of wins by the number of losses.

According to the given data:

Greg is creating a simulation, using previous year’s wins and losses, to foretell the team's conclusion.

Wins in the last season = 24

losses in the last season = 16

Ratio of wins and losses = 24:16 = 3:2

Chances of the team winning out of 5 matches is 3 and losing is 2.

The device which is most suitable for application in a simulation that implements the data is a 5-section spinner with congruent sections, 3 representing a win and 2 representing a loss.

To know more about ratio visit

brainly.com/question/9579637

#SPJ2

complete question:

the table shaws the number of games a team won and lost last season. Wins and losses last season number of games wins 24 losses 16 greg has tickets to six of the team’s games this season. He is designing a simulation, using last year’s wins and losses, to predict whether the team will win or lose each of the games he attends. Which tool is most appropriate for use in a simulation that fits the data?

1 a coin with one side representing a win and the other representing a loss

2 a 6-section spinner with congruent sections, 4 representing a win and 2 representing a loss

3 a 5-section spinner with congruent sections, 3 representing a win and 2 4representing a loss an 8-sided die with 5 sides representing a win and 3 sides representing a loss

Answer:

The answer is 175

Answer:

9. A = Length by Width

Length = x

Width = 12x - 6y

A = x(12x - 6y)

A = 12x² - 6xy

10. A = ½bh

h = 2ab

A = ½(b)(2ab)

A = ab²

Answer:

y=x+15

Step-by-step explanation:

Answer:

$7,196.42

Step-by-step explanation:

Using the compound interest formula to fins the amount after 10years;

A  = P(1+r)^n

Principal P = $400,000

Rate r = 8% = 0.08

Time t = 10 years

Substitute

A = 400,000(1+0.08)^10

A = 400,000(1.08)^10

A = 400,000(2.1589)

A = 863,569.99

A ≈ 863,570

Hence the amount after 10 years is $863,570

Monthly deposit = $863,570/120 (10 years is equivalent to 120months)

Monthly deposit = 7,196.42

Therefore he will have to deposit $7,196.42 into his account monthly

Answer:

-x³ + 3x² - 14x + 12

Step-by-step explanation:

Area of outer rectangle = (x² + 3x - 4) * (2x - 3)

      = (x² + 3x - 4) * 2x  + (x² + 3x - 4) * (-3)

     =x²*2x + 3x *2x - 4*2x  + x² *(-3) + 3x *(-3)  - 4*(-3)

     =2x³ + 6x² - 8x - 3x² - 9x + 12

    = 2x³ + 6x² - 3x²   - 8x - 9x + 12     {Combine like terms}

    = 2x³ + 3x² - 17x + 12

Area of inner rectangle = (x² - 1)* 3x

                                       = x² *3x - 1*3x

                                       = 3x³ - 3x

Area of shaded region = area of outer rectangle - area of inner rectangle

         = 2x³ + 3x² - 17x + 12 - (3x³ - 3x)

         = 2x³ + 3x² - 17x + 12 -3x³ + 3x

        = 2x³ - 3x³ + 3x² - 17x + 3x + 12

        = -x³ + 3x² - 14x + 12

Answer:

a) The person who washed the most of the laundry is Mrs Smith

b) 4/15 of the laundry is left to wash

Step-by-step explanation:

Mrs. Smith washed 2/5 of her laundry. Her son washed 1/3 of it.

a) Who washed most of the laundry?

We convert the fraction of laundry each person washed to decimal

Mrs Smith = 2/5 = 0.4

Her son = 1/3 = 0.333

Therefore, the person who washed the most of the laundry is Mrs Smith

b) How much of the laundry still needs to be washed?

Let us total laundry = 1

=1 - ( 2/5 + 1/3)

Lowest Common Denominator is 15

=1- (3 × 2 + 5 × 1/15)

= 1 - (6 +5/15)

=1 - 11/15

= 4/15

Answer:

105

Step-by-step explanation:

(-20+5)(58-65)

(-15)(-7)

105

Answer:

angel a is 65 degrees

Step-by-step explanation:

40+2x+10=180

40-40+2x+10-10=180-40-10

2x=130

x=65

checking:

65 + 10 + 40 = 75 + 40 = 115

115+65=180

180=180

Answer:

Step-by-step explanation:

3:2 = 2.5:1.5

half of 2 is 1 so if you had 1.5 it would only be half. For a better explanation, 1 minute is 60 seconds half of a minute is 30 seconds. if you have 45 seconds it would be 3/4 of a second. this is hard for me to explain so if you need more examples just tell me in the comments.

i hope this helps

have a nice day/night

mark brainliest please:)

Answer:

12

Step-by-step explanation:

c = sqrt(a^2+b^2)

Imput numbers and solve for b!

Answer:

135 can i have brain list

Step-by-step explanation:

9X3X5

Answer:

The domain of a function is the set of the possible input values of the function. For example: consider the function f(x) = cos x, the domain of the function is the set of possible values of x.

The cosine function takes x values from all real numbers.

Therefore, the domain of the cosine function is a real numbers.

Step-by-step explanation:

Answer:

1,300 centameters

Answer: 1,300 centimeter meters is bigger

Step-by-step explanation:

Answer:

f(x) is flipped, and each point is moved 3 units to the left and 2 units up

Step-by-step explanation:

Answer:

45 inches

Step-by-step explanation:

got it right on edg

Answer:

2720

Step-by-step explanation: