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Tanya [424]
3 years ago
12

Annalise makes rectangular patchwork quilts out of leftover fabric scraps. The first scrap she is using to make a quilt has a wi

dth of 2x feet and a
Hength of 5x feet. When finished, the entire quilt will be 5 feet wider and 3 feet longer than the first fabric scrap used. Which of the following
functions will give the area, fx), of the quilt in square feet?
Mathematics
1 answer:
tekilochka [14]3 years ago
3 0

Answer:

Area = f(x)=10x^2 + 31x + 15

Step-by-step explanation:

The function is the area function of a rectangle.

Area of Rectangle = Length * Width

Length of fabric scrap = 5x

Length of rectangular patchwork will be 5x + 3

and

Width of fabric scrap = 2x

Width of rectangular patchwork will be 2x + 5

THus, Area = (5x+3)(2x+5) square feet.

Let's expand:

Area = f(x) = (5x+3)(2x+5)\\f(x)=10x^2 + 25x + 6x + 15\\f(x)=10x^2 + 31x + 15

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addittional property

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3 years ago
Find the total cost of producing 9 widgets.
torisob [31]

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did anyone ever find the answer

6 0
4 years ago
If M (-4,7) is the midpoint of B (-3,-6), find the cords of point A. please show work
alexira [117]

Answer:

A(-5,20)

Step-by-step explanation:

A(X,Y)

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5 0
3 years ago
Maria plans to use fencing to build an enclosure or enclosures for her two horses. A single enclosure would be square shaped and
Gala2k [10]
Step 1
find the perimeter of a <span>single enclosure
perimeter of a square=4*b
where b is the long side of a square
area square=b</span>²
area square=2025 ft²
b²=2025-------> b=√2025-----> b=45 ft
<span>so
perimeter=4*45-------> 180 ft

step 2
</span>find the perimeter of a two individual enclosure
<span>perimeter=4*20+3*40------> 200 ft
area=20*40*2------> 1600 ft</span>²
<span>
therefore
fencing singular enclosure < fencing two individual enclosure
180 ft < 200 ft

</span>area singular enclosure > area two individual enclosure
2025 ft² > 1600 ft²<span>

the answer is the option
</span><span>a The singular enclosure would minimize cost because it requires 180 feet of fencing.</span><span>

</span>
5 0
3 years ago
Read 2 more answers
Annie is running a trail that is 4 1/2 miles long. She ran the first 2/3 of the distance. Then the trail became very steep, so s
qwelly [4]

Answer:

Annie walked 1 11/12 miles

Step-by-step explanation:

Trail= 4 1/2 miles

Annie ran the first 2/3 miles

Remaining miles= Total miles - Miles covered first

= 4 1/2 - 2/3

= 9/2 - 2/3

= 27-4 / 6

= 23/6 miles

Remaining miles = 23/6 miles

Annie walked for 1/2 of the remaining distance

1/2 of the remaining miles= 1/2 × 23/6

=23 / 12

= 1 11/12

Annie walked 1 11/12 miles

5 0
3 years ago
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