Ask question

Ask question

All categories

3 years ago

14

The width of a rectangle is 20m less than twice its length. If the perimeter of the rectangle is more than 56m, find the minimum

dimensions of the rectangle if each dmension in meters is an integer.

1 answer:

geniusboy [140]3 years ago

3 0

Http://www.jiskha.com/search/index.cgi?query=The+width+of+a+rectangle+is+9+less+than+twice+its+lengt...

You might be interested in

Given that 1 x2 dx 0 = 1 3 , use this fact and the properties of integrals to evaluate 1 (4 − 6x2) dx. 0

Debora [2.8K]

So, the definite integral $\int\limits^1_0 {(4 - 6x^{2} )} \, dx= - 74$

Given that

$\int\limits^1_0 {x^{2} } \, dx = 13$

We find

$\int\limits^1_0 {(4 - 6x^{2} )} \, dx$

<h3>Definite integrals </h3>

Definite integrals are integral values that are obtained by integrating a function between two values.

So, $Integral \int\limits^1_0 {(4 - 6x^{2} )} \, dx$

So, $\int\limits^1_0 {(4 - 6x^{2} )} \, dx = \int\limits^1_0 {4} \, dx - \int\limits^1_0 {6x^{2} } \, dx \\= 4[x]^{1}_{0} - \int\limits^1_0 {6x^{2} } \, dx \\= 4[x]^{1}_{0} - 6\int\limits^1_0 {x^{2} } \, dx \\= 4[1 - 0] - 6\int\limits^1_0 {x^{2} } \, dx\\= 4[1] - 6\int\limits^1_0 {x^{2} } \, dx\\= 4 - 6\int\limits^1_0 {x^{2} } \, dx$

Since

$\int\limits^1_0 {x^{2} } \, dx = 13$ ,

Substituting this into the equation the equation, we have

$\int\limits^1_0 {(4 - 6x^{2} )} \, dx = 4 - 6\int\limits^1_0 {x^{2} } \, dx\\= 4 - 6 X 13 \\= 4 - 78\\= -74$

So, $\int\limits^1_0 {(4 - 6x^{2} )} \, dx= - 74$

Learn more about definite integrals here:

brainly.com/question/17074932

4 0

2 years ago

Janet is comparing prices of bottled water. One bottle of water costs $1.92 and contains 12 ounces. Another bottle of water cost

Veseljchak [2.6K]

Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!

tinyurl.com/wpazsebu

3 0

3 years ago

4(x-2+y) what is this for the distributive property

DochEvi [55]

Answer:

4x + 4y - 8

Step-by-step explanation:

4(x - 2 +y) = 4*x -4*2 + 4*y by the distributive property

5 0

3 years ago

Jackie wants to justify that f(x) = 2x - 6 is a linear function. If she evaluated F(x) for consecutive integer values, write a s

NISA [10]

Jackie wants to justify that f(x) = 2x - 6 is a linear function.

Lets assume some values for x and find out f(x)

We make a table with x values 1, 2, 3, 4 and find f(x)

To find f(x) we plug in x value in the given equation

x f(x)

1 2(1)-6 = -4

2 2(2)-6 = -2

3 2(3)-6 = 0

14 2(4)-6 =2

for f(x) we got -4, -2, 0 , 2

The value of f(x) is increasing by 2. There is a constant increase in f(x)

When there is a constant rate of increase then it is a linear function

constant rate of increase that is slope = 2. Hence f(x) = 2x -6 is a linear function.

6 0

3 years ago

1 more than 3 times a number is less than the sum of 3 and the same number

mariarad [96]

the answer is 0 (zero) i can explain if you'd like.

3 0

3 years ago

Read 2 more answers