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jasenka [17]
3 years ago
11

Nate’s client said she wanted the width w of every room in her house increased by 2 feet and the length 2w decreased by 5 feet.

The polynomial (w+2)(2w−5) or 2w^2 −w−10 gives the new area of any room in the house. The current width of the kitchen is 16 feet. What is the area of the new kitchen?

Mathematics
1 answer:
Kay [80]3 years ago
6 0

Answer:

486 ft²

Step-by-step explanation:

For this, you want to replace every w with 16.

This gives (16+2)(2×16-5) or 2×16²-16-10.

I'm going to show this with the first example because the numbers are a bit easier.

You want to begin by working out the brackets. 16+2=18, and 2×16=32, giving us 18(32-5).

32-5=27, giving 18×27 as the equation.

This equals to 486, so the area is 486 ft².

**This content involves polynomials and area, which you might want to revise. I'm always happy to help!

You might be interested in
There are only chickens and pigs in Henry's Barn Henry counted a total of Sixteen animal heads and a total of 50 animal feet.How
raketka [301]

Answer:

9 pigs

Step-by-step explanation:

We have the following numbers of heads:

pigs (p) + chickens (c) = 16 animal heads (1)

And the following numbers of feet:

4p + 2c = 50 animal feet   (2)

From equation (1):

p = 16 - c (3)

By entering equation (3) into (2) we have:

4(16 - c) + 2c = 50

64 - 4c + 2c = 50

c = 7

Now, entering the value of c into equation (3) we have the next value of p:

p = 16 - c

p = 16 - 7

p = 9

Therefore, the number of pigs that Henry has is 9.

I hope it helps you!  

4 0
3 years ago
Your sister is getting married this summer and she has asked you to help her select a D.J.
ioda
So Dave charges 150 at first and then 10.50 per each hour, so if your sister has the party going for say "h" hours, then his total charges will then be 150 + 10.5h.

now, Marvin's Mobile Music charges 135 at first, but then is more expensive per hour is 15 bucks per each hour, so if she has a party for "h" hours, then his total charges are 135 + 15h.

now, let's check when they're both equal, at how many hours will they cost your sister the same amount.

\bf 150+10.50h=135+15h\implies 150-135=15h-10.5h
\\\\\\
15=4.5h\implies 15=4\frac{1}{2}h\implies 15=\cfrac{9}{2}h\implies \cfrac{15}{\frac{9}{2}}=h\implies \cfrac{\frac{15}{1}}{\frac{9}{2}}=h
\\\\\\
\cfrac{15}{1}\cdot \cfrac{2}{9}=h\implies \cfrac{30}{9}=h\implies \cfrac{10}{3}=h\implies 3\frac{1}{3}=h

so, 3 and a third of a hour, or 3 hours and 20 minutes, they both will cost your sister the same amount, so it wouldn't matter who's hired if the party is only 3 hours and 20 minutes long.

however, after that, the one with higher hourly rate, Marvin's, gets more expensive, and she's better off hiring the one with cheaper hourly rate.

now, you can just get some mp3s and some loud speakers and nevermind the  DJs and you do it, or she can do it, I have the macarena song if you need that one.
3 0
3 years ago
SOS MAYDAY!!! URGENT HELP REQUIRED THIS IS NOT A DRILL WEEEEEEEEEEEEEEEEEWOOOOOOOOOOOOO
timurjin [86]
The answer choice is B I just took
8 0
3 years ago
Solve <br><br>(2)^a−2+(2)^3−a=3​
hoa [83]

Answer: No solution

Step-by-step explanation:

5 0
3 years ago
Suppose that a company claims that its air fresheners last 23 days, on
pashok25 [27]

Answer:

95 - 23 = 17

Step-by-step explanation:

This is the answer because it is subtracted so that you get the answer

8 0
3 years ago
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