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Luda [366]
3 years ago
9

Simplify 1/4y + 1 1/2 +2- 1 3/4y-12

Mathematics
1 answer:
Llana [10]3 years ago
6 0
First you turn the mixed fraction into an improper fraction and work out 2-13 :
1/4y + 3/2 + - 11/4y-12
Then factorise :
1/4y + 3/2 - 11/4(y-3)
Then factor out y :
Y(y-3)+6(y-3)-11 / 4(y-3)
Then expand :
Y^2-3y+6y-18-11 / 4y-12
Simplify for your final answer :
y^2+3y-29 / 4y-12
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The sum of three consecutive number is 633 ,find the numbers
chubhunter [2.5K]

Answer:

210, 211, 212

Step-by-step explanation:

If we denote the first number as x, then the second number can be written as x + 1 and the third number as x + 2.

The equation is:

x + (x + 1) + (x + 2) = 633

3x + 3 = 633

3x = 633 - 3

3x = 630

x = 210

So the three consecutive numbers we're looking for are: 210, 211, 212

8 0
3 years ago
2x³+4x²-2x³+x-32<br><br>A)1 B)2 C)3 D)0​
Gnoma [55]

Answer:

The degree is 2

Step-by-step explanation:

2x³ and -2x³ cancel each other out, so the expression would be 4x²+x-32.

The largest exponent value is 2, as shown in "4x²"

8 0
3 years ago
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Use the given graph to determine the limit, if it exists. A coordinate graph is shown with an upward sloped line crossing the y
AURORKA [14]

Answer:

does not exist

Step-by-step explanation:

3 0
3 years ago
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(7w+4h)+ 5(2w+3h)- 2(w+h)
jasenka [17]
7w + 4h + 10w + 15h - 2w - 2h
= 15w + 17h
3 0
3 years ago
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A rectangular garden must have a perimeter of 150 feet and an area of at least 1200 square feet. Describe the possible lengths o
kipiarov [429]

Answer: 51.86 and 23.14

Step-by-step explanation:

The rectangular garden must have a perimeter of 150 feet

Perimeter of rectangular garden =

2l + 2w=150 -----------1

The rectangular garden must have a perimeter of 150 feet and an area of at least 1200 square feet.

Area of rectangular garden =

l×w= 1200 feet^2 -----------2

From equation 2, l=1200/w

Put l=1200/w in equation 1

2× 1200/w + 2w = 150

(2400/w) +2w = 150

(2400+2w^2)/w =150

2400+2w^2= 150w

2w^2- 150w+2400=0

Using the general formula

w = [-b+-√(b^2-4ac)]/2a

a = 2, b =-150, c=2400

w =[--150+/-√(-150^2-4×2×2400)]/2×2

=[150+/-√(22500-19200)]/4

=[150+/-√3300)]/4

=(150+57.45)/4 or (150-57.45)/4

w= 207.45/4 or 92.55/4

w= 51.86 or w= 23.14

l = 1200/51.86 or l= 1200/23.14

l = 23.14. or l= 51.86

For an area of at least 1200ft^2

The dimensions are 51.86 and 23.14

4 0
3 years ago
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