All categories

2 years ago

Write a polynomial in standard form that represents the area of the shaded region.

Mathematics

1 answer:

mr_godi [17]2 years ago

3 0

Area of rectangle is $2x^2+x-45$

Step-by-step explanation:

Given:

Length of rectangle = 2x-9

Width of rectangle = x+5

Required:

Area of rectangle

Formula:

$Area\,\,of\,\,rectangle=Length*Width$

Putting values of length and width:

$Area\,\,of\,\,rectangle=Length*Width\\Area\,\,of\,\,rectangle=(2x-9)(x+5)\\Area\,\,of\,\,rectangle=2x(x+5)-9(x+5)\\Area\,\,of\,\,rectangle=2x^2+10x-9x-45\\Area\,\,of\,\,rectangle=2x^2+x-45$

So, Area of rectangle is $2x^2+x-45$

Keywords: Area of rectangle

Learn more about Area of rectangle at:

#learnwithBrainly

You might be interested in

Write 25x10 the power of 6 in standard from

forsale [732]

Answer:

25 * 10^6

But 10^6 is the same as multiply 10 six times, that is, 10 * 10 * 10 * 10 * 10 * 10 * 10. The result is as simple as writing 1 and six zeros, that is, counting the number of zeros I can see. So, 10^6 = 1000000.

Now, 25 * 10^6 = 25 * 1000000

The final answer is 25000000

Step-by-step explanation:

3 0

2 years ago

I need help with this please

34kurt

Answer:

5.5

Step-by-step explanation:

It asks for just the Stevens family, so the first sentence is a trick.

Take $49.50 and divide it by $9 an hour. You will end up with 5.5 hours.

3 0

2 years ago

Telling of a classroom is 32 feet. The width is 75% of the lengt. Find the area of the classroom in square feet

Evgesh-ka [11]

The area of the classroom is 768 square feet

7 0

3 years ago

Which function has the greatest rate of exponential growth?

Veronika [31]

Answer:

Step-by-step explanation:

Here, we want to find which of the expressions have the greatest rate of exponential growth.

The easiest way to go about this is have a substitution for the term t;

Let’s say t = 6

Thus;

h(t) = 1.18^1 = 1.18

K(t) = 0.375^6 = 0.002780914307

f(t) = 1.36^6 = 6.327518887936

g(t) = 0.86^6 = 0.404567235136

Another way to find this is to express each as a sum of 1

f(t) = (1+ 0.36)^t

g(t) = (1-0.14)^t

k(t) = (1-0.625)^t

We can see clearly that out of all the terms in the brackets asides 1, 0.36 is the biggest in value

4 0

3 years ago

Before every flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the ai

ss7ja [257]

Answer:

The probability that the plane is oveloaded is P=0.9983.

The pilot should take out the baggage and send it in another plain or have less passengers in the plain to not overload.

Step-by-step explanation:

The aircraft will be overloaded if the mean weight of the passengers is greater than 163 lb.

If the plane is full, we have 41 men in the plane. This is our sample size.

The weights of men are normally distributed with a mean of 180.5 lb and a standard deviation of 38.2.

So the mean of the sample is 180.5 lb (equal to the population mean).

The standard deviation is:

$\sigma=\frac{\sigma}{\sqrt{N}} =\frac{38.2}{\sqrt{41}}=\frac{38.2}{6.4} =5.97$

Then, we can calculate the z value for x=163 lb.

$z=\frac{x-\mu}{\sigma}=\frac{163-180.5}{5.97}=\frac{-17.5}{5.97}= -2.93$

The probability that the mean weight of the men in the airplane is below 163 lb is P=0.0017

$P(\bar X$

Then the probability that the plane is oveloaded is P=0.9983:

$P(overloaded)=1-P(X$

The pilot should take out the baggage or have less passengers in the plain to not overload.

7 0

3 years ago