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Scorpion4ik [409]
3 years ago
8

If nis the larger of two consecutive numbers, write an expression for the other number.

Mathematics
2 answers:
allochka39001 [22]3 years ago
8 0

Answer:

n-1

Step-by-step explanation:

Consecutive means that they have a difference of one, so the expression will be n-1.

irina1246 [14]3 years ago
8 0

Answer:

n-1

Step-by-step explanation:

I hope you like the answer!

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The sum of two positive numbers is 12. what two numbers will maximize the product g
son4ous [18]

Given two numbers x and y such that:

x + y = 12   ...    (1)


<span>two numbers will maximize the product g</span>

from  equation (1) 

y = 12 - x  

Using this value of y, we represent xy as

xy = f(x)= x(12 - x)

 f(x) = 12x - x^2

Differentiating the above function:

f'(x) = 12 - 2x

Maximum value of f(x) occurs at point for which f'(x) = 0.

Equating f'(x) to 0 we get:

12 - 2x = 0

 2x =  12

> x = 12/2 = 6

Substituting this value of x in equation (2):

y = 12 - 6 = 6

Therefore, value of xy is maximum when:

x = 6 and y = 6

The maximum value of xy = 6*6 = 36

4 0
3 years ago
Simplify 6 . 3p<br><br> 18p<br><br> 63p<br><br> 18+p<br> 9p
ipn [44]

Answer:

18p

Step-by-step explanation:

6 \times 3p

\boxed{\green{= 18p}}

4 0
3 years ago
Regan ran a total of 12 miles over the course of three track practices. How many miles would Regan have run after five practices
Ipatiy [6.2K]

Answer:

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The drawings will help

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AB = 3 + x
ICE Princess25 [194]

The given quadrilateral ABCD is a parallelogram since the opposite sides are of same length AB and DC is 4 and AD and BC is 2.

<u>Step-by-step explanation</u>:

ABCD is a quadrilateral with their opposite sides are congruent (equal).

The both pairs of opposite sides are given as AB = 3 + x , DC = 4x , AD = y + 1 , BC = 2y.

  • AB and DC are opposite sides and have same measure of length.
  • AD and BC are opposite sides and have same measure of length.

<u>To find the length of AB and DC :</u>

AB = DC

3 + x = 4x

Keep x terms on one side and constant on other side.

3 = 4x - x

3 = 3x

x = 1

Substiute x=1 in AB and DC,

AB = 3+1 = 4

DC = 4(1) = 4

<u>To find the length of AD and BC :</u>

AD = BC

y + 1 = 2y

Keep y terms on one side and constant on other side.

2y-y = 1

y = 1

Substiute y=1 in AD and BC,

AD = 1+1 = 2

BC = 2(1) = 2

Therefore, the opposite sides are of same length AB and DC is 4 and AD and BC is 2. The given quadrilateral ABCD is a parallelogram.

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3 years ago
What type of triangle, if any can be formed with angle measurements of 32 degrees,126 degrees, and 32 degrees?
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There can’t be one formed because all sides of a triangle add up to 180 but when you add that it adds to 190 there for it will not make a triangle
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3 years ago
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