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SCORPION-xisa [38]
3 years ago
12

One more than three times a number is less than the number decreased by five. solve and graph

Mathematics
1 answer:
Genrish500 [490]3 years ago
4 0
Whats the graph ??
 i need it to find the answer


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At a grand-opening sale, 20% of the first 500 customers won a prize. How many of the first 500 customers won a prize ?
katrin2010 [14]

Answer:

100

Step-by-step explanation:

5 0
3 years ago
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Isosceles triangle LMN is graphed with vertices L(0, 1), M(3, 5), and N(6,1). What is the slope of side LN?
Vaselesa [24]
L(0, 1)
N(6, 1)

slope formula;
m = y2 - y1/ x2 - x1

m = 1 - 1/ 6 - 1

m = 0/5

m = 0 

hope this helped, God bless!
9 0
3 years ago
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What is the prime factorization of 135?
Brums [2.3K]

135 is a composite number.

135 = 1 x 135, 3 x 45, 5 x 27, or 9 x 15.

Factors of 135: 1, 3, 5, 9, 15, 27, 45, 135.

Prime factorization: 135 = 3 x 3 x 3 x 5, which can also be written 135 = 3³ x 5

3 0
3 years ago
Sarah bought 96 pencils and 84 erasers to make gift bags for her friends.
Alexeev081 [22]

Answer:

C. 12

Step-by-step explanation:

the greatest common factor between 84 and 96 is 12

3 0
3 years ago
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Using differential calculus, maximize the volume of a box made of cardboard (top is open) as shown in Figure A. 15, subject to t
lana [24]

The maximum volume of the box is 40√(10/27) cu in.

Here we see that volume is to be maximized

The surface area of the box is 40 sq in

Since the top lid is open, the surface area will be

lb + 2lh + 2bh = 40

Now, the length is equal to the breadth.

Let them be x in

Hence,

x² + 2xh + 2xh = 40

or, 4xh = 40 - x²

or, h = 10/x - x/4

Let f(x) = volume of the box

= lbh

Hence,

f(x) = x²(10/x - x/4)

= 10x - x³/4

differentiating with respect to x and equating it to 0 gives us

f'(x) = 10 - 3x²/4 = 0

or, 3x²/4 = 10

or, x² = 40/3

Hence x will be equal to 2√(10/3)

Now to check whether this value of x will give us the max volume, we will find

f"(2√(10/3))

f"(x) = -3x/2

hence,

f"(2√(10/3)) = -3√(10/3)

Since the above value is negative, volume is maximum for x = 2√(10/3)

Hence volume

= 10 X 2√(10/3)  -  [2√(10/3)]³/4

= 2√(10/3) [10 - 10/3]

= 2√(10/3) X 20/3

= 40√(10/27) cu in

To learn more about Maximization visit

brainly.com/question/14682292

#SPJ4

Complete Question

(Image Attached)

3 0
1 year ago
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