1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
hoa [83]
2 years ago
13

The length of a rectangle is represented by 4a+3b and its width is represented by 3a-2b. Enter the polynomial for the perimeter

of the rectangle. What is the minimum perimeter of the rectangle if a=12 and b is a non-zero whole number?
Mathematics
1 answer:
katovenus [111]2 years ago
3 0

Answer:

a) The polynomial for the perimeter of the rectangle is = 14a - 2b

b) 150

Step-by-step explanation:

a) The formula for the area of a rectangle is given as:

P = 2L + 2W

From the question:

The length of a rectangle = 4a+3b

The width of a rectangle = 3a-2b.

The Perimeter of the rectangle is

Perimeter = 2(4a + 3b) + 2(3a - 2b)

Perimeter = 8a + 6b + 6a - 4b

Perimeter = 8a + 6a + 6b - 4b

Perimeter = 14a - 2b

Hence:

The polynomial for the perimeter of the rectangle is = 14a - 2b

b) What is the minimum perimeter of the rectangle if a=12 and b is a non-zero whole number?

Non-zero whole number are single digit number such as: 1, 2, 3, 4, 5, 6, 7, 8, 9

The perimeter of the rectangle is = 14a - 2b

We are asked to find the minimum perimeter of the rectangle if a=12 and b is a non-zero whole number.

In order to solve this, we would used the highest non zero whole number which is 9

Hence,

For a = 12 , b = 9

14 × 12 - 2(9)

= 168 - 18

= 150

Hence, the minimum perimeter of the rectangle if a=12 and b is a non-zero whole number is 150

You might be interested in
A recipe calls for 3/4 cup of sugar.
zubka84 [21]
6
I multiplied both the numbers and got that, hope this helped
3 0
2 years ago
Assume that the national credit card interest rate is 12.83 percent. A study of 62 college students finds that their average int
meriva

Answer:

b)  95 percent confidence interval for this single-sample t test

[11.64, 16.36]

Step-by-step explanation:

Explanation:-

Given data  a study of 62 college students finds that their average interest rate is 14 percent with a standard deviation of 9.3 percent.

Sample size 'n' =62

sample mean x⁻ = 14  

sample standard deviation 'S' = 9.3

<u>95 percent confidence interval for this single-sample t test</u>

The values are (x^{-} - t_{0.05} \frac{S}{\sqrt{n} } ,x^{-}+t_{0.05}\frac{S}{\sqrt{n} })  the <u>95 percent confidence interval for the population mean  'μ'</u>

Degrees of freedom γ=n-1=62-1=61

t₀.₀₅ = 1.9996 at 61 degrees of freedom

(14 - 1.9996\frac{9.3}{\sqrt{62} } ,14+1.9996\frac{9.3}{\sqrt{62} })

(14-2.361 , 14 + 2.361)

[(11.64 , 16.36]

<u>Conclusion:-</u>

95 percent confidence interval for this single-sample t test

[11.64, 16.36]

<u></u>

6 0
3 years ago
What is the domain of f(x) = 37x?
8_murik_8 [283]
All real numbers! All domains of monomials are all real numbers
8 0
2 years ago
Read 2 more answers
What are the factors of 56
VLD [36.1K]

The factors of  56  are  1,  2,  4,  7,  8,  14,  28, and  56.

3 0
3 years ago
Read 2 more answers
Ique si los puntos: A( -3 , 3 ) y B( 0 , -15 ), pertenecen o no a la recta -4x-y+15=0
Papessa [141]

Respuesta:

El punto A(-3, 3) pertenece a la recta.

El punto B(0, -15) no pertence a la recta.

Explicación paso a paso:

Consideremos la siguiente ecuación de la recta en forma estandar.

-4x - y + 15 = 0

Para verificar si los puntos A y B pertencen a la recta, primero la transformaremos a la forma explícita.

-4x - y + 15 = 0

-4x + 15 = y

y = -4x + 15

El punto A(-3, 3), tiene coordenada x -3 y coordenada y 3. Reemplazaremos x en la ecuación de la recta y veremos si obtenemos el mismo valor de y.

y = -4(-3) + 15 = 3

El punto A(-3, 3) pertenece a la recta.

El punto B(0, -15), tiene coordenada x 0 y coordenada y -15. Reemplazaremos x en la ecuación de la recta y veremos si obtenemos el mismo valor de y.

y = -4(0) + 15 = 15

El punto B(0, -15) no pertence a la recta.

6 0
2 years ago
Other questions:
  • Need Help ASAP, I'M CONFUSED, IF YOU CAN'T ANSWER DON'T ANSWER
    15·1 answer
  • David made a class banner out of a large rectangular piece of paper. He cut a
    11·1 answer
  • What is 5 x 23 x 2 pemdas
    12·2 answers
  • A store sells packages of comic books with a poster. A poster and 3 comics cost ​$9.99. A poster and 12 comics cost ​$18.99. Wri
    9·1 answer
  • Travis had a rectangular garden that measured 10feet by 12 feet. He planted pumpkins in his garden. Each pumpkin olant took up 2
    12·1 answer
  • PLEASE HELP!!!! I WILL MARK BRAINLYEST!!!!
    9·2 answers
  • In each of the following ,make y the subject and hence find the value of y when a=2, b=3 ,and c=4.
    7·1 answer
  • Hello, look at the picture I established at the bottom I will be giving you thanks, 5 stars, and brain least, Thank you. Have a
    10·1 answer
  • Temperature °C
    15·1 answer
  • What is the value of 7 in 52.703.?​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!