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oksano4ka [1.4K]
2 years ago
15

Which of these expressions is equivalent to 3( x-2)

Mathematics
1 answer:
Assoli18 [71]2 years ago
7 0

Answer:

the answer is B because 3(x-2) is the same as 3x -2

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Set up and evaluate the optimization problems. (Enter your answers as comma-separated lists.) Find two positive integers such th
alexira [117]

Answer and Step-by-step explanation:

Let x and y be two positive integers and their sum is 14:

X + y = 14

And the sum of square of this number is:

f = x2 + y2

 = x2+ (14 – x)2

Differentiate with respect to x, we get:

F’(x) = [ x2 + (14 – x)2]’ = 0

        2x + 2(14-x)(-1) = 0

        2x +( 28 – 2x)(-1) = 0

     2x – 28 +2x = 0

        2x + 2x = 28

         4x = 28

       X = 7

Hence, y = 14 – x = 14 -7 = 7

Now taking second derivative test:

F”(x) > 0

For x = y = 7,f reaches its maximum value:

(7)2 + (7)2 = 49 + 49

                   = 98

F at endpoints x Є [ 0, 14]

F(0) = 02 + (14 – 0)2

       =  196

F(14) = (14)2 + (14 – 14)2

  = 196

Hence the sum of squares of these numbers is minimum when x = y = 7

And maximum when numbers are 0 and 14.

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2 years ago
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4 0
3 years ago
PLS HELP WITH THIS MATH
laiz [17]
I think it’s 28.35

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6 0
2 years ago
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Solving systems of equations using substitution p=q+3 4p+3q= -30
patriot [66]
4(q+3) + 3q = -30
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5 0
3 years ago
Jack was planting a tree. He was to dig a hole that was 3 feet deep for every 5 feet of tree height. How deep should he dig the
nlexa [21]
Jack was planting a tree. He was to dig a hole that was 3 feet deep for every 5 feet of tree height. How deep should he dig the hole for a tree that is 17feet high. 

Calculations 

\frac{DEEP}{HIEGHT} 

Cross multiplication

\frac{3 DEEP}{5 HIEGHT} = \frac{x}{13} 

5x = 2 x 13 

Divide by 5 to isolate x

\frac{5x}{5} = \frac{51}{5} 

x = 10.2 

Answer = 10.2 
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3 years ago
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