Simplify (6x ^ 2 + 11x - 3) + (2x ^ 2 - 17x

the perimeter of a rectangle is 192 ft. the ratio of its length to its width is 7:5 what are dimensions of the rectangle?

Jobisdone [24]

Answer: Hence the dimensions are 56 ft and 40 ft.

Step-by-step explanation:

Alright, lets get started.

The ratio of sides of rectangle is given as 7:5.

It means, the length of rectangle is : $7x$

It means, the width of rectangle is : $5x$

So the perimeter of rectangle will be : $2(length + width)$

Plugging the value of sides length and width,

the perimeter of rectangle will be : $2\times(7x+5x)$

the perimeter of rectangle will be : $2\times 12x$

the perimeter of rectangle will be : $24x$

As per question, the given perimeter is 192, so

$24x=192$

Dividing 24 in both sides,

$x=\frac{192}{24}$

$x=8$

Hence the length of rectangle will be : $7\times 8 =56$

Hence the width of rectangle will be : $5\times 8 =40$

Hence the dimensions are 56 ft and 40 ft. : Answer

Hope it will help :)

6 0

3 years ago

For what value of x is the rational expression below undefined?<br><br> 3x+15/6-x

Paha777 [63]

Let the function be (3x+15)/(6-x) then the value of x exists at -5.

<h3>What is the value of x?</h3>

Given: Rational Expression (3x+15)/(6-x)

To find the value of x when given a rational expression equivalent to 0.

To estimate the value of x, convey the variable to the left side and convey all the remaining values to the right side. Simplify the values to estimate the result.

Consider, (3x+15)/(6-x) = 0

3x + 15 = 0(6-x)

3x + 15 = 0

Subtract 15 from both sides of the equation, e get

3x + 15 - 15 = 0 - 15

simplifying the above equation, we get

3x = 0 - 15

3x = -15

Divide both sides by 3, then we get

x/3 = -15/3

x = -5

Therefore, the value of x exists at -5.

To learn more about the value of x refer to: brainly.com/question/11874663

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5 0

2 years ago

If you are examining a function over an interval ( a , b ) , for a and b finite, is it possible not to have an absolute maximum

uysha [10]

Yes, it is not possible to have an absolute maximum or absolute minimum.

Here,

We are examining a function over an interval ( a , b ) , for a and b finite,

We have to find, is it possible not to have an absolute maximum or absolute minimum.

What theorem indicates the existence of absolute maxima or absolute minima of a function?

If f is continuous on a closed interval [a, b] (that is: on a closed and bounded interval), then, the Extreme Value Theorem indicates the existence of an absolute maximum or minimum value of f on the interval [a, b].

Now,

The function is define over an interval (a, b).

Hence, the function is define on open interval.

So, it is not possible to have an absolute maximum or absolute minimum.

Learn more about the existence of maxima and minima visit:

brainly.com/question/6787214

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3 0

2 years ago

Solve the following proportion for y.

MAXImum [283]

The answer is 36.6

Explanation:

3y=110

y=110/3

y=36.6

7 0

3 years ago

What is the value of x in the equation –x = 2 – 3x + 6?

Aneli [31]

Answer:

x=4

Step-by-step explanation:

Let's solve your equation step-by-step.

−x=2−3x+6

Step 1: Simplify both sides of the equation.

−x=2−3x+6

−x=2+−3x+6

−x=(−3x)+(2+6)(Combine Like Terms)

−x=−3x+8

Step 2: Add 3x to both sides.

−x+3x=−3x+8+3x

2x=8

Step 3: Divide both sides by 2.

2x/2 = 8/2

x=4

6 0

3 years ago

Read 2 more answers

Simplify (6x ^ 2 + 11x - 3) + (2x ^ 2 - 17x - 4) . (1 point)